diff --git a/.gitignore b/.gitignore index ca37aa7..057d09a 100644 --- a/.gitignore +++ b/.gitignore @@ -5,3 +5,5 @@ .Rhistory .Rproj.user + +**/*.quarto_ipynb diff --git a/README.md b/README.md index 3205c09..221f1db 100644 --- a/README.md +++ b/README.md @@ -2,24 +2,65 @@ ## About the Course -[Insert course description] +Data in the Wild introduces students to data science through the R programming language and a series of ecological problems set in Antarctica. Across the course, students use data to investigate food safety, wildlife tracking, habitat relationships, and sustainable fisheries management. Along the way, they learn skills in data wrangling, visualization, statistical analysis, modeling, and interpretation. -## Course Materials +The course is designed for students in the life sciences and assumes no prior programming experience. Lessons begin with the basics of coding in R and gradually build toward more advanced tools such as hypothesis testing, machine learning, regression, and population modeling. -[Insert descriptions about modules] +The course was developed by Drs. Katy Prudic, Jeff Oliver, Keaton Wilson, and Ellen Bledsoe, and has been taught at the University of Arizona as part of the general education curriculum. -## Accessing the Material +## Accessing Course Materials -### Github +### Website -[About material in Github and how to navigate / use for class] +The course website contains all modules, lessons, assignments, and their downloads: -### Website + + +## Building the Website Locally + +This site is built with [Quarto](https://quarto.org) and requires R and several packages. To preview locally: + +### 1. Install required software + +- Install [R](https://cran.r-project.org) +- Install [Quarto](https://quarto.org/docs/get-started/) + +### 2. Install Packages + +Install the required R packages by running the following in your R console (e.g., RStudio): +```r +install.packages(c( + "tidyverse", + "palmerpenguins", + "ggplot2", + "rmarkdown", + "knitr", + "caret", + "recipes", + "tseries", + "drc" +), dependencies = TRUE) +``` + +The `dependencies = TRUE` ensures all required sub-packages are installed automatically. + +In powershell (making sure you're in the root directory), run: +``` +quarto install tinytex +``` +Sometimes Quarto will display an error indicating additional packages that need to be installed. + +### 3. Preview the Site + +In powershell, run: +``` +quarto preview +``` -[Link to website] +## Support -[About material in Github and how to navigate / use for class] +This course was developed with support from the National Science Foundation under the Harnessing the Data Revolution (HDR) Data Science Corps (DSC) program, and the NSF-funded project "Building Capacity in Data Science through Biodiversity, Conservation, and General Education" (Awards [2122967](https://www.nsf.gov/awardsearch/showAward?AWD_ID=2122967) and [2122991](https://www.nsf.gov/awardsearch/showAward?AWD_ID=2122991)). Materials are openly available and designed to be adaptable for use at other institutions. ------------------------------------------------------------------------ -*Last updated: 19 January 2024, Maxine Cruz* +2026, University of Arizona & Lewis & Clark College \ No newline at end of file diff --git a/_quarto.yml b/_quarto.yml index 89885b5..6cb0f5a 100644 --- a/_quarto.yml +++ b/_quarto.yml @@ -1,85 +1,135 @@ project: - type: website output-dir: docs -website: +execute: + freeze: auto +website: title: "Data In The Wild" - favicon: images/bdsc-logo-hex.png search: false - - navbar: + + navbar: logo: images/bdsc-logo-hex.png - + sidebar: - logo: images/bdsc-logo-hex.png - background: $blanched-almond - align: center - style: docked - collapse-level: 1 + logo: images/bdsc-logo-hex.png + background: $blanched-almond + align: center + style: docked + collapse-level: 1 + + contents: + - text: "Home" + href: index.qmd - contents: - - section: "Introduction" - contents: - - index.qmd - - structure.qmd - - text: "Contact Us" - href: https://github.com/BiodiversityDataScienceCorp - - - section: "Module 1" - contents: - - modules/module_1/module1_1.qmd - - modules/module_1/module1_2.qmd - - modules/module_1/module1_3.qmd - - - section: "Module 2" - contents: - - modules/module_2/module2_1.qmd - - modules/module_2/module2_2.qmd - - modules/module_2/module2_3.qmd - - modules/module_2/module2_4.qmd - - modules/module_2/module2_5.qmd - - modules/module_2/module2_6.qmd - - modules/module_2/module2_7.qmd - - - section: "Module 3" - contents: - - modules/module_3/module3_1.qmd - - modules/module_3/module3_2.qmd - - modules/module_3/module3_3.qmd - - modules/module_3/module3_4.qmd - - modules/module_3/module3_5.qmd - - - section: "Module 4" - contents: - - modules/module_4/module4_1.qmd - - modules/module_4/module4_2.qmd - - modules/module_4/module4_3.qmd - - - section: "Resources" - contents: - - resources.qmd - - page-footer: + - text: "Contact Us" + href: https://github.com/BiodiversityDataScienceCorp + + - text: "For Instructors" + href: instructors.qmd + + - text: "---" + + - section: "Module 1" + contents: + - text: "Overview" + href: modules/module_1/module1_home.qmd + - modules/module_1/module1_1.qmd + - modules/module_1/module1_2.qmd + - modules/module_1/module1_3.qmd + - text: "Assignment 1" + href: modules/module_1/assignments/a1/m1a1.qmd + - text: "Assignment 2" + href: modules/module_1/assignments/a2/m1a2.qmd + + - section: "Module 2" + contents: + - text: "Overview" + href: modules/module_2/module2_home.qmd + - modules/module_2/module2_1.qmd + - modules/module_2/module2_2.qmd + - modules/module_2/module2_3.qmd + - modules/module_2/module2_4.qmd + - modules/module_2/module2_5.qmd + - text: "Assignment 1" + href: modules/module_2/assignments/a1/m2a1.qmd + - text: "Assignment 2" + href: modules/module_2/assignments/a2/m2a2.qmd + - text: "Assignment 3" + href: modules/module_2/assignments/a3/m2a3.qmd + + - section: "Module 3" + contents: + - text: "Overview" + href: modules/module_3/module3_home.qmd + - modules/module_3/module3_1.qmd + - modules/module_3/module3_2.qmd + - modules/module_3/module3_3.qmd + - text: "Assignment 1" + href: modules/module_3/assignments/a1/m3a1.qmd + - text: "Assignment 2" + href: modules/module_3/assignments/a2/m3a2.qmd + + - section: "Module 4" + contents: + - text: "Overview" + href: modules/module_4/module4_home.qmd + - modules/module_4/module4_1.qmd + - modules/module_4/module4_2.qmd + - modules/module_4/module4_3.qmd + - modules/module_4/module4_4.qmd + - text: "Assignment 1" + href: modules/module_4/assignments/a1/m4a1.qmd + - text: "Assignment 2" + href: modules/module_4/assignments/a2/m4a2.qmd + - text: "Assignment 3" + href: modules/module_4/assignments/a3/m4a3.qmd + - text: "Assignment 4" + href: modules/module_4/assignments/a4/m4a4.qmd + + - section: "Module 5" + contents: + - text: "Overview" + href: modules/module_5/module5_home.qmd + - modules/module_5/module5_1.qmd + - modules/module_5/module5_2.qmd + - modules/module_5/module5_3.qmd + - text: "Assignment 1" + href: modules/module_5/assignments/a1/m5a1.qmd + - text: "Assignment 2" + href: modules/module_5/assignments/a2/m5a2.qmd + - text: "Assignment 3" + href: modules/module_5/assignments/a3/m5a3.qmd + + - text: "Final Project" + href: modules/final_project/FinalProject.qmd + + - text: "---" + + - text: "Resources" + href: resources.qmd + + page-footer: background: $dark-blue foreground: $blanched-almond - left: "Copyright 2024, University of Arizona | Last modified: 12 June 2024" - right: + left: "2026, University of Arizona & Lewis & Clark College" + right: - href: https://quarto.org/ text: "Made with Quarto" - href: https://github.com/BiodiversityDataScienceCorp/DataInTheWild_Website icon: github format: - html: theme: - styles.scss mainfont: "Raleway" toc: true page-layout: full - pdf: default + include-in-header: + text: | + + editor: visual - diff --git 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-Welcome! This course introduces students in the life sciences to data science through the application of quantitative reasoning and the R programming language to "real-world" problems. Below, you will find the overall narrative and material that will be covered. There are four modules that guide the student from their first steps on the Land of the Penguins, to building new roads for access to fishing sites. Each module will lead them through basic programming, data visualization, statistics, machine learning, and interpretation of quantitative concepts. +*Data in the Wild* introduces students to data science through the R programming language and a series of ecological problems set in Antarctica. Across the course, students use data to investigate food safety, wildlife tracking, habitat relationships, and sustainable fisheries management. Along the way, they learn skills in data wrangling, visualization, statistical analysis, modeling, and interpretation. -## The Narrative - -### **⊳** Module 1: *Mission Antarctica!* - -A new effort to establish a permanent, sustainable colony in Antarctica is being launched. Students are introduced to the field of data science, the application (RStudio, RMarkdown, Jupyter Notebooks), and programming language (R, Python) used in the course. - -### **⊳** Module 2: *Good Food Gone Bad* +The course is designed for students in the life sciences and assumes no prior programming experience. Lessons begin with the basics of coding in R and gradually build toward more advanced tools such as hypothesis testing, machine learning, regression, and population modeling. -There is a food poisoning outbreak among team members. Students use data visualization to determine where the problem lies (fish, not plants) and simulations to determine the root of the problem (fish tank density, not fish tank temperature). +The course was developed by Drs. Katy Prudic, Jeff Oliver, Keaton Wilson, and Ellen Bledsoe, and has been taught at the University of Arizona as part of the general education curriculum. Funding comes from the NSF-funded project "Building Capacity in Data Science through Biodiversity, Conservation, and General Education" (Awards [2122967](https://www.nsf.gov/awardsearch/showAward?AWD_ID=2122967) and [2122991](https://www.nsf.gov/awardsearch/showAward?AWD_ID=2122991)). -### **⊳** Module 3: *Follow That Seal* +## Learning Objectives -The fish tanks need to be restocked, but we want to avoid fishing in places with high leopard seal density, so we track the seals. However, the radio collars on leopard seals are failing and there is a deadly conflict between fish collectors and seals. The collars come from two different manufacturers, but we need to tell how the collars are failing (days to recharge, not signal distance) and how to classify collars of unknown provenance. +By the end of the course, students will be able to: -### **⊳** Module 4: *March of the Penguins* +1. Import, organize, summarize, and work with ecological datasets in R. +2. Create and interpret appropriate data visualizations using `ggplot2`. +3. Apply statistical tools such as t-tests, ANOVA, and regression to ecological questions. +4. Combine datasets and use basic classification approaches to support inference and prediction. +5. Interpret population growth models, carrying capacity, and sustainable yield in an ecological management context. +6. Communicate quantitative findings clearly using code, figures, and written interpretation. -A new road is needed to access fishing sites with low leopard seal density. There are several possible routes, but we want to avoid crossing through Gentoo penguin nesting grounds. Students will build models to determine predictors of nesting success, first with bootstrapping for confidence intervals, then with linear regression. - -## How to Navigate this Site - -Under Course Materials, you will find lessons taught in WFSC 223 at the University of Arizona as well as links download lectures, assignments, discussions, and other assets used for instruction. - -## Overall Learning Objectives +## The Narrative -By the end of the semester, you will be able to... +### **Module 1: Mission Antarctica!** -1. Define, differentiate, and explain the nature and application of computational methods +The team has arrived in Antarctica and needs to establish the technical foundation for all future data work. Students begin by learning how to use R and RStudio in Posit Cloud, including how to run code, create objects, work with vectors, understand data classes, subset data, and use functions. They are also introduced to the `tidyverse`, where they begin learning how to select, filter, summarize, group, and mutate data. By the end of the module, students are comfortable navigating their coding environment and working with simple ecological datasets. - for acquiring, managing, analyzing, visualizing, and sharing data as it relates to real- +### **Module 2: Good Food Gone Bad** - world natural resource scenarios. +A wave of food poisoning spreads through the Antarctic base, and the team needs to figure out why. Students investigate a potential food contamination event using descriptive statistics and data visualization to track down the culprit. Along the way, they are introduced to histograms, scatter plots, and box plots in both base R and `ggplot2`, and they develop an eye for what makes a visualization effective or misleading. By the end of the module, students have solved the problem and begun exploring a dataset of their own for the course's final project. -2. Associate, examine, and compare how to infer meaning and insight from data through +### **Module 3: Follow That Seal** - written, visual, and verbal communication to multiple audiences. +With the aquaponics system compromised, the team must turn to wild-caught fish to supplement their food supply, but fishing in Antarctic waters comes with risks. Leopard seals are apex predators in the area, and the radio collars used to track them have been failing unexpectedly. Students are tasked with figuring out which collar manufacturer is to blame by comparing means numerically, visually, and statistically - first using t-tests to compare two groups, then extending to ANOVA and post-hoc comparisons when more than two groups are involved. By the end of the module, students can determine whether differences between groups are statistically meaningful and apply these tools to new ecological contexts. -3. Summarize, implement, and appraise multiple perspectives and make meaningful +### **Module 4: Roads and Regressions** - connections across disciplines and social positions, think conceptually and critically, and +With fishing bays selected and collars in need of replacement, the team faces two new challenges: identifying the makers of a mystery batch of collars, and planning a road to the fishing sites that minimizes harm to Antarctica's fragile ecosystem - including avoiding habitat for Antarctic hair grass and penguin nesting sites. Students learn to combine datasets using joins and binds, get an introduction to machine learning through K-Nearest Neighbors classification, and dive into linear and multiple regression to model environmental relationships. By the end of the module, students can work with data from multiple sources, fit regression models, and interpret their results. - solve problems with data informed approaches. +### **Module 5: Sustainable Fishing** -## Footnotes (For Instructors) +With fishing bays selected and roads planned, the team must now figure out how many fish they can sustainably harvest without depleting the population. Students are introduced to population growth models - exponential and logistic - and use them to estimate carrying capacities and maximum sustainable yield for Antarctic toothfish populations. They then learn to fit logistic growth curves to real data and compare populations statistically. Along the way, students also step outside of R to practice finding and citing scientific literature and writing a scientific abstract in preparation for the final project. -This course was developed by Drs. Katy Prudic, Jeff Oliver, Keaton Wilson, and Ellen Bledsoe. This was taught in pilot form at the University of Arizona in Spring 2020 as *Settlers of Antarctica*, and it has undergone multiple revisions to better communicate and optimize the material to both students and instructors over the years. At the end of the day, with the help of funding from the NSF's Harnessing the Data Revolution, the material is designed to be adaptable to other disciplines and serve as a template for your own courses. R was used as the primary programming language here, but the course is modifiable to other languages such as Python. +> **Note:** Module 5 is an example of how *Data in the Wild* can be extended or adapted to reflect a specific disciplinary focus. This version was developed by Dr. Ellen Bledsoe and draws on their background in ecology. The course can be taught with or without this module, and instructors are encouraged to develop alternatives that reflect their own expertise or research context. \ No newline at end of file diff --git a/instructors.qmd b/instructors.qmd new file mode 100644 index 0000000..1731eef --- /dev/null +++ b/instructors.qmd @@ -0,0 +1,101 @@ +--- +title: "For Instructors" +format: + html: + toc: true +--- + +# Instructor Resources + +This page is for instructors who are interested in teaching with, adapting, or learning more about *Data in the Wild*. It covers how to navigate the site as an instructor, how to set up Posit Cloud for your class, and how to access source files and answer keys. + +## Using This Site as an Instructor + +The lesson pages on this site have two modes: **Student View** and **Instructor View**. Student View is the default, coding challenge answers and instructor notes are hidden. Instructor View reveals both! + +Look for the **View: Student** | **Instructor** toggle in the upper-right sidebar on any lesson page (and this page!). + +::: {.instructor-only} +## Instructor View reveals... + +- **Answers** to all in-class coding challenges, shown after each prompt +- **Instructor notes** with suggested talking points, teaching tips + +You can also use the **Download PDF** button (also in the right sidebar) to print either version. +::: + +## R, RStudio, and Posit Cloud + +This course uses the R programming language and was designed to be taught using Posit Cloud. + +A quick distinction for those new to the ecosystem: + +- **R** is the programming language itself. +- **RStudio** is the coding environment used to write and run R code. +- **Posit Cloud** is a browser-based version of RStudio that lets students work online without installing anything on their own computers. + +The materials can also be taught using a local RStudio installation or adapted to other environments, though some file path references in the lessons may need updating. + +### Setting Up Posit Cloud for Your Class + +**1. Create your instructor workspace** + +Sign in to [Posit Cloud](https://posit.cloud) and create a new workspace. This will be the shared space your students join. + +**2. Set up the base project** + +Inside your workspace, create a new project. Add the course modules from Github\[\]. + +**3. Invite students to the workspace** + +In your workspace settings, go to **Members** and share the join link with your students. Students will need to create a free Posit Cloud account if they don't have one. Lesson 1.1 gives students time to do this! + +**4. Students copy the project** + +Once in the workspace, students can see your base project but cannot edit it directly. They click **Save a Permanent Copy** to create their own editable version in the workspace. All their work lives in their copy. + +::: callout-note +The free tier of Posit Cloud has limits on compute hours per month. For a full-semester course with active coding, consider whether your institution qualifies for an academic plan, or check current pricing at [posit.cloud/plans](https://posit.cloud/plans). +::: + +## Access Course Files + +> [\[GitHub repo\]](https://github.com/BiodiversityDataScienceCorp) + +Contains: + +- All lesson `.qmd` files (instructor and student versions) +- All assignment `.qmd` files (student versions) +- All datasets (`.csv`) used in lessons and assignments +- Expected outputs (`.pdf`) for assignments that include them + +This is the repo to clone if you want to run or adapt the course. You are welcome to fork or adapt any of these materials (under a certain license??) + +## For Instructors: Assignment Keys & the Final Project + +The private repository contains everything in the course repo plus: + +- Answer keys for all assignments +- Final Project assignment, rubric, and key + +To request access, open an issue on the public course repository and we will add you as a collaborator. We review requests manually and typically respond within a few business days. + +Link here \*\* + +::: callout-note +You will need a free [GitHub account](https://github.com/join) to submit a request and access the private repository. +::: + +## Expected Outputs + +Some assignments include expected outputs: the tables, plots, or values a correct solution should produce. These are provided for students to reference while completing their assignments. + +This was a deliberate design choice. Data science and coding problems often have more than one path to the correct answer. Showing students what a correct answer looks like without showing how to get there preserves that open-ended problem-solving while reducing unnecessary point loss. + +The actual graded work, the code that produces those outputs, is what appears in the answer keys in the private repository. + +**Website source**: + +> Quarto site[\[DataInTheWild-Website placeholder\]](https://github.com/BiodiversityDataScienceCorp) + +Contains `_quarto.yml`, `styles.scss`, scripts, images, and all non-lesson pages. Fork this if you want to adapt your own website for a course! \ No newline at end of file diff --git a/modules/final_project/FinalProject.qmd b/modules/final_project/FinalProject.qmd new file mode 100644 index 0000000..34de5d4 --- /dev/null +++ b/modules/final_project/FinalProject.qmd @@ -0,0 +1,343 @@ +--- +title: "Final Project" +author: "Ellen Bledsoe" +format: + html: + toc: true +--- + +```{r} +#| include: false +knitr::opts_chunk$set(echo = TRUE) +``` + +### Purpose + +The goal of this final project is to assess your ability to integrate the many skills you have learned over the semester: filtering and summarizing data, choosing the appropriate data visualizations, and performing and interpreting the appropriate statistical tests. + +### Task + +Write R code which produces the correct data, summaries, plots and analyses. Correctly interpret the results of these plots and analyses. + +### Criteria for Success + +- Code chunks run without errors +- Code produces the correct result + - Code that produces the correct answer will receive **full** credit + - Code attempts with logical direction will receive **partial** credit +- Appropriate plot types are used to visualize the data +- Appropriate statistical tests are used to analyze the data +- Written answers address the questions in sufficient detail + +------------------------------------------------------------------------ + +## Structure & Guidelines + +### Interpreting Statistical Results + +When I ask you to interpret statistical results, you should roughly follow these guidelines: + +- the cut-off for our p-values is always 0.05 ($\alpha = 0.05$) +- report the p-value that we are focused on in that question +- if there are multiple p-values of interest, report all of them +- state whether the p-value indicates a significant difference/relationship +- if applicable, state whether we should or should not reject the null hypothesis + +### Plotting + +All plots should be made using `ggplot2`. + +Your options for plot types to choose from are: + +- histogram +- [multiple]{.underline} histogram plot + - use transparency (`alpha`) + - use `position = "identity"` with multiple groups to see the full distributions +- box-and-whisker plot + - add points on top of the box plot to show the distribution of the points +- scatter plot + - add the linear model to every scatter plot + +| **NOTE! All plots should have modified axis labels and legend labels.** +| In many cases, this might mean capitalizing the axis label and/or legend label. In other cases, you might want to put units in parentheses after the words (e.g., Body Mass (g)). + +### Generative AI Guidelines + +While I do not recommend using generative AI to complete this assignment (throughout the semester, I've seen it cause more problems than not...), you are *technically* allowed to use it on the final. + +However, you *must* do so according to the guidelines I've set out for all other assignments this semester. + +| **CAUTION!** If you do use generative AI without following the course guidelines, you will receive a 0 for this final and you will not have the option to resubmit. Proceed wisely. + +You can find clear examples of these guidelines on D2L in *Syllabus \> Assignment Reminders*. + +------------------------------------------------------------------------ + +# Let's Begin! + +Have you *actually* read through the "Structure & Guidelines" section above? + +If so, proceed! If not, scroll back up... + +## Set-Up (5 points) + +1. First, we need to load the `tidyverse` package. (2 points) + +```{r} +# load the tidyverse +library(tidyverse) +``` + +2. As a reminder, there are 4 datasets that you can use to complete this final assignment: + + - krill data from KrillBase -\> `krill.csv` + - fur seal pups on Maiviken Island -\> `fur_seals.csv` + - Gentoo penguins from Bird Island -\> `gentoos_and_temps.csv` + - Chinstrap penguins from Signy Island -\> `chinstraps_on_signy.csv` + +Which dataset have you chosen to work with for this final assignment? (1 point) + +*Answer*: + +3. Bring your chosen data into R to work with using the `read_csv` function. Remember to save it as an object. (2 points) + +```{r} + +``` + +## Understanding the Data (12 points) + +4. Use a function (e.g., `head()` or `str()`) to look at your data. (3 points) + +```{r} + +``` + +5. In 1-2 sentences, explain what the output from Question 4 is telling you about your dataset. The more detail, the better. (3 points) + +*Answer*: + +### Data Exploration + +Now, spend some time really getting to know your dataset. Information about the datasets can be found below, both in terms of how you should treat each column (continuous vs. categorical) as well as at the links to the datasets below (click on the names of the datasets). + +You might notice that the data at the links has many more columns than the datasets you have been given or some slightly different data. Focus only on the columns that are in the .csv file provided to you for this assignment. + +#### [Krill](https://www.bas.ac.uk/project/krillbase/#data) + +- You will want to use the `Krill_per_1m2_log` column as your dependent variable. This is a log-transformed version of the `Krill_per_1m2` column. You don't need to worry about *why* we transformed the data, but this column should be a bit easier to work with. +- The `Date`, `Year`, and `Month` columns should all be treated as *continuous* variables. +- While the `Station` column can *technically* be considered a categorical variable, please use the `Day_Night` column as your categorical variable for this assignment and for your research question. + +#### [Fur Seals](https://ramadda.data.bas.ac.uk/repository/entry/show?entryid=bc6d802a-fce5-495d-b5e1-bb26f824847c) + +- If you choose to use the `Date` or `Year` column, treat them as *continuous* variables. +- On the other hand, if you use the `Month` column, treat it as a *categorical* variable. + +#### [Gentoo Penguins](https://ramadda.data.bas.ac.uk/repository/entry/show?entryid=1fd5bc8a-96b5-4f53-aa15-33e5330e7705) + +- If you are using the `Year` column, treat it as a *continuous* variable. +- The dataset has a column for the previous year's December temperature. Because counts of chicks took place in January or February (and nests were counted in October/November), the number of chicks is most likely to be related to the temperatures directly after chicks hatched (December of the previous year). + +#### [Chinstrap Penguins](https://ramadda.data.bas.ac.uk/repository/entry/show?entryid=d784af69-c92b-444c-a12e-ee0361802cb1) + +- I do not recommend using the `MONTH` or `DAY` column. +- If you use the `YEAR` column, treat it as a *continuous* variable. + +### Back to Assignment Questions + +6. Based on your own general knowledge, the information at the links above, and the additional information I've provided, list out the columns (only those in the .csv file) in your chosen dataset and give a brief description (just a phrase is fine) of what the data in each columns represents. (3 points) + +*Answer*: + +7. For each of the columns in your dataset, identify whether the data points they contain are categorical or continuous/numeric. Be sure your answers align with the information I've provided for you above. (3 points) + + Many of your answers to subsequent questions will depend heavily on whether variables are categorical or continuous. + + Type out the name of the column and then the descriptor. For example: + + - island_name: categorical + - island_size_km: continuous + +*Answer*: + +## Building a Research Question (6 points) + +In order to write a successful research question, we need to identify our dependent variable and the independent variable that we think affects the dependent variable. + +8. First, determine which variable is the *dependent* variable in your dataset (there is usually only one, but there might be two). It must be continuous/numeric. (2 points) + +*Answer*: + +9. Next, choose 1 independent variable from your dataset (each dataset has more than one from which to choose). (2 points) + + This should be a variable that you believe might affect the values of the dependent variable. It can be either categorical or continuous/numeric. + +*Answer*: + +10. Now, bring your dependent and independent variables together to form a research question based on the structure presented in class in Module 2 (also see Module 2 Assignment 3). (2 points) + +*Answer*: + +## Summarizing Our Data (6 points) + +Let's get to know our data a little better. + +11. Summarize your data by calculating at least 1 measure of central tendency and 1 measure of variability for your your *dependent* variable using the `tidyverse` functions (you might need `na.rm = TRUE`!). (4 points) + +Pay close attention here! How you summarize will differ based on whether your *independent* variable is categorical or continuous/numeric (2 points): + +- If your research question has a *categorical* independent variable, find the measure of central tendency and the measure of variability for the dependent variable in *each* individual category of the independent variable. +- If your research question has a *continuous/numeric (numeric)* independent variable, find a measure of central tendency and the measure of variability for the independent variable in addition to the dependent variable + +```{r} + + +``` + +## Data Visualization (18 points) + +To continue our data exploration, we are going to plot our data. + +At least ONE of the plots should include both your dependent and independent variable. Think critically about which plot that should be based on your variable types. + +Also, at least one plot will need to use a variable that is NOT in your research question. + +12. Produce a histogram plot (just one, not multiple on the same plot) of the dependent variable. Write 1-2 sentences describing what information you can gather from plot. (3 points) + +```{r warning=FALSE} + +``` + +*Answer:* + +13. Create a *multiple histogram* plot of your dependent variable and one other variable (this may or may not be your independent variable). (3 points) + + Make sure we can see each histogram plot (make sure one isn't blocking another by modifying the transparency and position). + +```{r warning=FALSE} + +``` + +14. Create a *box-and-whisker* plot which includes your dependent variable. Changing the color of the boxes is optional. Make sure to add points to the plot. (3 points) + + *Hint: if your plot has `NA` values that you want to remove, you can remove them from the dataset with the `filter` function and the argument `!is.na(column_name)`.* + +```{r warning=FALSE} + +``` + +15. Create a *scatter plot* that includes your dependent variable. Write 1-2 sentences describing what information you can gather from plot. (3 points) + + *Hint: if your plot has `NA` values that you want to remove, you can remove them from the dataset with the `filter` function and the argument `!is.na(column_name)`.* + +```{r warning=FALSE} + +``` + +16. Identify which plot(s) from Questions 15-17 match up with your research question. How you know it matches up correctly (based on categorical vs. continuous/numeric variables)? (3 point) + +*Answer*: + +17. In 2-3 sentences, interpret the plot(s) that you identified in the previous question. What does it tell you about your chosen research question? (3 points) + +*Answer*: + +## Running Your Statistical Model (15 points) + +In this course, we have covered 3 different statistical analyses: t-tests, ANOVAs, and linear regression. + +It is now time to decide how to apply these statistical analyses to your own research question! + +18. Based on everything you know about your independent and dependent variables and the requirements for each of the statistical analyses we covered in the course, determine which statistical analysis you should perform to answer your question. In 1-2 sentence, explain why. (3 points) + +*Answer*: + +19. Perform the appropriate statistical analysis below. If necessary, add an additional line of code to print out the results. (3 points) + + *Hint: if your dataset has `NA` values that you need to remove, you can remove them from the dataset with the `filter` function and the argument `!is.na(column_name)`.* + +```{r} + +``` + +20. If necessary, run a pairwise comparison. If a pairwise comparison is NOT necessary for your statistical analysis, explain why not. (3 points) + +*Answer*: + +```{r} +# space for code to run a pairwise comparison if needed +``` + +21. Interpret the results of your statistical analysis (including the pairwise comparison, if relevant). In your answer, include the p-value and if the result of your analysis is significant. (3 points) + +*Answer*: + +22. What do these results mean in the context of your research question? (3 points) + +*Answer*: + +## Expanding Our Horizons (6 points) + +23. Spend some time thinking about the outcome of your research question. Is the outcome what you were expecting or not? Why or why not? What additional information would you like to have to add context to your results? Your answer should be 4-5 sentences. (3 points) + +*Answer:* + +24. Think about your research subjects in the context of ecosystem services. What type of ecosystem services might the study of your research question fall under? (You might have to get a little creative here). Explain your rationale. (3 points) + +*Answer*: + +## Literature Search (6 points) + +When we ask a research question, we always want to find out what other people have already found out about that question to give us an idea of what outcome we might expect. + +In Module 4 Assignment 1, you were asked to find at least 3 articles that related to your research question. + +The articles you find don't have to be *exactly* related but should be relevant, as you will be using them at the end of this assignment to help interpret your statistical output. + +25. Write the citation for your first article. Then, in *your own words*, write a 1-2 sentence summary of what the article is about, based on the title and the abstract. (2 points) + +*Article 1 Citation*: + +*Article 1 Description*: + +26. Do the same as above for the second article. (2 points) + +*Article 2 Citation*: + +*Article 2 Description*: + +27. Do the same as above for the last article. (2 points) + +*Article 3 Citation*: + +*Article 3 Description*: + +## Communicating Your Results (6 points) + +When researchers have come to some type of conclusion about a research question they have asked, we usually write up our findings in a scientific article to share our results with the scientific community and beyond. + +Just like the articles you found in the Literature Search section, most articles have an abstract that gives any potential reader some information about the topic of the research paper and the conclusions the researchers have drawn. + +Now that you have completed the process of coming up with a research question and finding some results, we want to communicate these results through writing an abstract. Feel free to look at your scientific articles for inspiration. + +28. Your abstract should be structured in the following manner, with at least one sentence for each topic (6 sentence minimum): + +- An opening sentence about the general topic of your question and/or dataset +- General information about your dataset +- The research question your have chosen to ask +- What your data summarization *and* visualization shows you +- What statistical analysis you performed and its outcome +- Your final interpretation of your research question: does your independent variable impact your dependent variable and, if so, in what way? + +Be sure you include information from at least 2 of your 3 articles from your literature search somewhere in your abstract! Use in-text citations (e.g., Golding & Anderson, 2024; Bledsoe et al., 2024) to show where you do so. + +*Abstract*: + +------------------------------------------------------------------------ + +## The End! + +Take a look back at everything you just did! You've come a *very* long way since the beginning of the semester and should be quite proud of that. + +Great work, and thanks for a great semester! \ No newline at end of file diff --git a/modules/module_1/assets/dplyr_pipe.png b/modules/module_1/assets/dplyr_pipe.png new file mode 100644 index 0000000..3494085 Binary files /dev/null and b/modules/module_1/assets/dplyr_pipe.png differ diff --git a/modules/module_1/assignments/a1/m1a1.qmd b/modules/module_1/assignments/a1/m1a1.qmd new file mode 100644 index 0000000..3f95863 --- /dev/null +++ b/modules/module_1/assignments/a1/m1a1.qmd @@ -0,0 +1,154 @@ +--- +title: "Module 1, Assignment 2: Getting to Know the Team" +author: "your name here" +date: today +format: pdf +--- + +```{r} +#| include: false +knitr::opts_chunk$set(echo = TRUE) +``` + +# Assignment Description + +### Purpose + +The goal of this assignment is to get comfortable using R to look at 1- and 2-dimensional data sets using base R. + +### Task + +Write R code to successfully answer each question below. + +### Criteria for Success + +- Code is within the provided code chunks +- Code chunks run without errors +- Code produces the correct result + - Code that produces the correct answer will receive full credit + - Code attempts with logical direction will receive partial credit +- Written answers address the questions in sufficient detail + +# Assignment Questions + +Each question is worth 2 points unless otherwise specified. + +## Vectors + +Let's start working with vectors, or 1-dimensional data, first. + +Run this chunk of code to create a vector of data to use. It represents the number of penguins counted at different sites. + +```{r} +# vector with counts of penguins +counts <- c(2, 9, 4, 3, 6, 7, 1, 0, 3) +``` + +1. Write a line of code that returns the 2nd value in the `counts` vector. + +```{r} + +``` + +2. Subset the `counts` vector using a condition (not index) that returns values from the vector that are greater than 5. + +```{r} + +``` + +3. Calculate the average number of penguins that were counted. (Hint: the `mean()` function will calculate the average.) + +```{r} + +``` + +## Data Frames + +Now that we've practiced with vectors, let's move on to 2-dimensional data. + +Remember those questions about our trip to Antarctica from the survey you completed the first week of classes? It's time to play around with that data! + +The following code chunk will read the data into RStudio. Be sure to run it before trying to answer the questions! + +Once you run the code, you will see a data frame called `team_data` show up in the environment. + +```{r} +#| eval: false +team_data <- read.csv("data/team_antarctica.csv") +``` + +4. Take a look at the data and answer the following questions (0.5 points each). + a. What are the dimensions of the data (how many rows and how many columns)? + b. Name a column that has *categorical* data. + c. Name a column that has *numeric* data. + d. Name a column that has data that could be treated as either *categorical* or *numeric*. + +*Answer*: + +5. Take a look at the data frame using the `head()` function. Typically, `head()` provides the first 6 rows of data. + + Modify one of the arguments in `head()` so that the line of code prints the first 10 rows. (If you aren't sure how to do that, remember how you can look for help about functions!) + +```{r} + +``` + +6. Using what you know about subsetting data frames, write a line of code that returns the parka color for Unique ID 4. (Hint: count the columns!) + +```{r} + +``` + +When we have a large data set like this, it is often helpful to summarize the data in some way. The next few questions will help us get a better understanding of the content of the data set. + +7. On average, how did people rate their ability to be in a remote location? + +```{r} + +``` + +8. What are the minimum and maximum distances that would be traveled by a team member to get to Antarctica? Use the `min()` and `max()` functions. + +```{r} + +``` + +9. Subset using a condition to return the rows of data only for people who rated their fishing skills as a 5. Retain all of the columns in those rows. (Hint: numbers do not need quotation marks around them). + +```{r} + +``` + +10. Calculate the average cold tolerance of people who want blue parkas. Use these steps to think through how to answer this question. + + a. First, think about how to create a data frame with only people who want blue parkas + + b. Next, think about how you select the column with the cold tolerance data + + c. Finally, think about how to calculate the average + +```{r} + +``` + +## Bonus (up to 2 points)! + +What animal should be on our team flag? + +- First, create a vector called `mascot` that has only the values from the `team_flag` column. +- Next, use the `table()` function on the `mascot`. +- For full points, make sure you type out which animal that should be our mascot below; providing only the code will result in partial credit. + +*Answer:* + +```{r} + +``` + +# Turning in Your Assignment + +1. Make sure your name is filled in at the top of the document. +2. Click the **Render** button at the top of this document. This will produce a PDF that opens in a new tab and also saves to the Files panel on the bottom-right of your screen. +3. To download the PDF from Posit Cloud, click the empty box to the left of the PDF file in the Files panel. +4. Click the blue gear at the top of the Files panel and choose Export. +5. Put your last name at the front of the file name when prompted, then click Download. The PDF is now in your Downloads folder. \ No newline at end of file diff --git a/modules/module_1/assignments/a1/m1a1_expected.pdf b/modules/module_1/assignments/a1/m1a1_expected.pdf new file mode 100644 index 0000000..ad3eed3 Binary files /dev/null and b/modules/module_1/assignments/a1/m1a1_expected.pdf differ diff --git a/modules/module_1/assignments/a1/team_antarctica.csv b/modules/module_1/assignments/a1/team_antarctica.csv new file mode 100644 index 0000000..07a2b5c --- /dev/null +++ b/modules/module_1/assignments/a1/team_antarctica.csv @@ -0,0 +1,35 @@ +team,cooking_skill,fishing_skill,swimming,cold_tolerance,working_with_animals,remote_location,parka_color,team_flag,distance_mi +University of Arizona,5,1,Yes,3,TRUE,1,Black,Leopard Seal,8800.00 +University of Arizona,1,2,No,4,TRUE,3,Black,Orca,8275.00 +University of Arizona,4,3,Yes,4,TRUE,4,Black,Leopard Seal,8791.00 +University of Arizona,3,1,Yes,4,TRUE,4,Blue,Leopard Seal,8218.69 +University of Arizona,1,1,Yes,1,TRUE,3,Black,Leopard Seal,8000.00 +University of Arizona,3,1,Yes,4,TRUE,2,White,Emperor Penguin,9000.00 +University of Arizona,5,3,Yes,3,TRUE,2,Blue,Orca,9000.00 +University of Arizona,1,1,Yes,3,TRUE,3,Orange,Emperor Penguin,8223.00 +University of Arizona,5,3,Yes,4,TRUE,3,Black,Orca,8243.00 +University of Arizona,3,1,Yes,4,TRUE,3,Orange,Emperor Penguin,10000.00 +University of Arizona,3,1,I can dog paddle,2,TRUE,3,Orange,Emperor Penguin,10000.00 +University of Arizona,4,3,Yes,3,TRUE,5,Orange,Leopard Seal,8757.00 +University of Arizona,3,3,Yes,4,TRUE,2,Blue,Emperor Penguin,8774.00 +University of Arizona,4,2,Yes,2,TRUE,3,Red,Leopard Seal,9000.00 +University of Arizona,3,3,Yes,4,TRUE,4,White,Orca,10000.00 +University of Arizona,3,5,Yes,5,TRUE,4,Red,Leopard Seal,10000.00 +University of Arizona,3,2,Yes,3,TRUE,1,Black,Leopard Seal,9000.00 +University of Arizona,4,5,Yes,5,TRUE,4,White,Leopard Seal,10000.00 +University of Arizona,4,3,Yes,2,TRUE,3,White,Emperor Penguin,8356.00 +University of Arizona,3,1,Yes,4,TRUE,3,Black,Emperor Penguin,8444.30 +University of Arizona,3,3,Yes,2,TRUE,4,Blue,Leopard Seal,8529.00 +University of Arizona,4,2,Yes,2,TRUE,4,Orange,Leopard Seal,8356.00 +University of Arizona,3,1,Yes,4,TRUE,5,Black,Leopard Seal,9000.00 +University of Arizona,3,1,Yes,4,TRUE,5,Blue,Leopard Seal,8279.00 +University of Arizona,5,3,Yes,4,TRUE,5,Orange,Sea Spider,9000.00 +University of Arizona,2,1,Yes,2,TRUE,2,Black,Emperor Penguin,8872.00 +University of Arizona,3,1,I can dog paddle,3,TRUE,4,Black,Emperor Penguin,9000.00 +University of Arizona,4,1,Yes,3,TRUE,4,Black,Emperor Penguin,8791.00 +University of Arizona,4,3,Yes,3,TRUE,5,Blue,Leopard Seal,9143.00 +University of Arizona,3,1,Yes,4,TRUE,3,Blue,Orca,8270.00 +University of Arizona,4,1,Yes,3,TRUE,3,Black,Emperor Penguin,11000.00 +University of Arizona,4,3,Yes,3,TRUE,3,Black,Emperor Penguin,11000.00 +University of Arizona,3,2,Yes,2,TRUE,4,Blue,Leopard Seal,9000.00 +University of 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`tidyverse` to successfully answer each question below. + +### Criteria for Success + +- Code is within the provided code chunks +- Code chunks run without errors +- Code produces the correct result + - Code that produces the correct answer will receive full credit + - Code attempts with logical direction will receive partial credit +- Written answers address the questions in sufficient detail + +# Assignment Questions + +For this final assignment for Module 1, you'll be working with another real-world data set: a collection of data from climate stations scattered across Antarctica. + +1. In your own words, describe what the `tidyverse` is. Your answer should be between 1-3 sentences. + + *Answer:* + +2. Load in the `tidyverse` package. + +```{r} + +``` + +3. Load in the data file (called `aggregated_station_data.csv`) using the `read_csv()` function. Save the data as an object called `weather`. + +```{r} +# Note: use the read_csv function, not the read.csv function! + +``` + +4. Take a look at the data in whichever way you would like (looking in the environment, viewing the data, typing a function into the console below, etc.). How many rows and columns are in the data? Type your answers below: + + rows:\ + columns: + +```{r} +# using code is optional for Question 4 + +``` + +5. Write some code to choose rows that only includes temperatures which are above freezing (AKA greater than 0 because the temperature is currently in Celsius) + +```{r} + +``` + +6. Write some code to choose *only* columns with the following information: the year, day, month, temperature, and the station ID. Save these columns as a new object called `station_temp`. + +```{r} + +``` + +7. Using the data frame you created in Q6 above (`station_temp`), add a new column to that data frame that converts the temperature column (currently in Celsius) to Fahrenheit. Call the new column `tempF`. + + *Hint: we did this in class, use that same equation!* + +```{r} + +``` + +8. In your own words (either bullet points or sentence form is fine), explain two benefits of using the pipe (`%>%`). + + *Answer:* + +9. Using the *original* data frame (`weather`), find the minimum (`min()`) temperature recorded for each month (in Celsius, the original column). + + *Hint: think about months first (split) and then temperature (apply). You will also want to remove all the `NA` values.* + +```{r} + +``` + +10. Again, using the *original* data frame, produce a data frame with the average temperature in the month of January for each station. + + Some hints: + + - take note of how months are represented in the data + + - think about using the pipe, how we choose which rows we want, and how we split-apply-combine + + - remember to remove the `NA` values! + +```{r} + +``` + +## Bonus! (up to 2 points) + +Write code to determine how many unique stations are in the `weather` data set. (Hint: look up the help files for the `distinct()` and the `count()` functions). + +```{r} + +``` + +# Turning in Your Assignment + +1. Make sure your name is filled in at the top of the document. +2. Click the **Render** button at the top of this document. This will produce a PDF that opens in a new tab and also saves to the Files panel on the bottom-right of your screen. +3. To download the PDF from Posit Cloud, click the empty box to the left of the PDF file in the Files panel. +4. Click the blue gear at the top of the Files panel and choose Export. +5. Put your last name at the front of the file name when prompted, then click Download. The PDF is now in your Downloads folder. \ No newline at end of file diff --git a/modules/module_1/module1_1.qmd b/modules/module_1/module1_1.qmd index 2c0b3f2..2faba26 100644 --- a/modules/module_1/module1_1.qmd +++ b/modules/module_1/module1_1.qmd @@ -1,7 +1,18 @@ --- -title: "1.1: Introduction to RStudio" +title: "1.1: Introduction to R and RStudio" +authors: "Keaton Wilson, Ellen Bledsoe" +format: + html: + toc: true --- +```{r} +#| include: false +knitr::opts_chunk$set(echo = TRUE) +``` + +# Introduction to R/RStudio + ## Learning Outcomes - Students will be able to describe what computer programming languages (code) are, with R as an example. @@ -9,14 +20,23 @@ title: "1.1: Introduction to RStudio" - Students will be able to describe the utility of each panel in RStudio. - Students will be able to perform basic math functions in the R console. -## Rstudio Mini-Tour +## Check-in (5 minutes) + +Let's all sign up for [Posit Cloud!](https://posit.cloud/) We use Posit Cloud as our coding environment so everyone has access to R and RStudio through a web browser. -Sign up for RStudio +## RStudio Mini-tour -Perform a live-coding mini-tour of RStudio. - edit this section maybe +Let's start with a brief live demo of RStudio. As you follow along, pay attention to: -1. What do the different panels do? -2. Console versus a script/Rmarkdown file +1. What do the four main panels allow you to do? +2. The difference between the **Console** (runs code immediately) versus a **script or Quarto file** (lets you save and organize your work). + +::: instructor-only +**Instructor Note:** Perform a live-coding mini-tour using your own Posit Cloud project so students see a realistic setup. Cover: + +1. Walk through each panel: script/editor (top-left), console (bottom-left), environment/history (top-right), files/plots/help (bottom-right). +2. Demonstrate running code in the Console vs. a chunk in a `.qmd` file, emphasizing that the Console doesn't save your work. +::: ## Using R as a Calculator @@ -26,16 +46,16 @@ You can do basic math in the Console (the bottom left part of the screen). The C Try multiplying 5 and 3 in the Console (hint: \* means multiply). Hit `Enter` to run that line of code. -### R Markdown and Code Chunks +### Quarto Documents and Code Chunks -R Markdown (.Rmd) is a file format that lets us incorporate text and code into one document seamlessly. In fact, it is the file format for this document! +Quarto (`.qmd`) is a file format that lets us incorporate text and code into one document seamlessly. In fact, it is the file format for this document! - For writing text, you can type as you normally would. - Code chunks are a bit different: - - Near the top right of your screen you can toggle between viewing this document as under Source or Visual. - - If you view this document under Source, you will see that all code chunks are sandwiched between " ```` ```{r} ```` " and " ```` ``` ```` ". - - But under Visual, you can type R code in the lines under `{r}`. - - To include text in chunks, you will need to put a `#` in front. R will not read anything in the line after `#` as code. + - Near the top right of your screen you can toggle between viewing this document in "Source" or "Visual" mode. + - In **Source** view, all code chunks are sandwiched between ```` ```{r} ```` and ```` ``` ````. + - In **Visual** view, you type R code in the lines beneath `{r}`. + - To add a comment (a note R won't run as code), put a `#` in front of the line. Code chunks look like this: @@ -43,20 +63,23 @@ Code chunks look like this: # This is a code chunk! ``` -A quick shortcut for adding a code chunk is `Ctrl + Alt + i` (`Cmd + Opt + i` on a Mac). - -Alternatively, you can go to Code \> Insert Chunk. - To run a chunk of code, click the green arrow on the top right corner of the chunk. You can also run one or a few lines of code at a time by having your cursor on the line or highlighting multiple lines and hitting `Ctrl` + `Enter` (or `Cmd` + `Enter` on a Mac). +A quick shortcut for adding a code chunk is `Ctrl + Alt + i` (`Cmd + Opt + i` on a Mac). Alternatively, you can go to Code \> Insert Chunk. + +::: instructor-only +**Instructor Note:** Pause here and make sure everyone can toggle between Source and Visual mode and can run a chunk. +::: + ### Some Code Chunk Practice Let's work with an example code chunk. -```{r, message=FALSE, warning=FALSE} -# I am adding a comment to my code here. +```{r} +# The `#` symbol is used to write a comment. +# Comments are notes to yourself or others reading your code. R does not run anything written after `#` on a line. 432 - 11 # subtraction @@ -67,7 +90,7 @@ Let's work with an example code chunk. 3 * 5 # multiplication ``` -Notice that if you run code in the Console rather than the code chunk in an R Markdown (.Rmd) file, you don't need to add the `{r}` to tell it that you are typing R code. The Console only understands R code anyway, so we don't need to tell it what it is! +Notice that if you run code in the Console rather than the code chunk in a `.qmd` file, you don't need to add the `{r}` to tell it that you are typing R code. The Console only understands R code anyway, so we don't need to tell it what it is! ### Math: Small Group Challenge @@ -77,10 +100,17 @@ First, write and run the code in the console. Next, write and run the code in the code chunk below. What did you have to do differently? -```{r, message=FALSE, warning=FALSE} -# 1) Console: 2^3 + Enter +```{r} +# Write your code here + +``` -# 2) Code chunk: 2^3 + Green arrow *OR* 2^3 + Ctrl + Shift +::: instructor-only +**Answer:** +```{r} 2^3 ``` + +**Instructor Note:** The key difference students should notice is that in the Console you just type R code directly, while in a `.qmd` chunk you need the ```` ```{r} ```` wrapper. +::: \ No newline at end of file diff --git a/modules/module_1/module1_2.aux b/modules/module_1/module1_2.aux new file mode 100644 index 0000000..498500d --- /dev/null +++ b/modules/module_1/module1_2.aux @@ -0,0 +1,37 @@ +\relax +\providecommand*\new@tpo@label[2]{} +\providecommand\hyper@newdestlabel[2]{} +\providecommand\HyField@AuxAddToFields[1]{} +\providecommand\HyField@AuxAddToCoFields[2]{} +\providecommand\BKM@entry[2]{} 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This is how we create permanence in R. Anything can be saved to an object, and we do this with the assignment operator, `<-`. The short-cut for `<-` is `Alt + -` (or `Option + -` on a Mac) -```{r, message=FALSE, warning=FALSE} +```{r} # Assigning Objects -mass <- 47.5 # assign 47.5 to "mass" (in kg) -age <- 122 # assign 122 to "age" -mass <- mass * 2 # multiply mass by 2 -age <- age - 20 # subtract 20 from age -mass_index <- mass/age # divide mass by age -mass_sq <- mass^2 # raise to an exponent (2) +height <- 47.5 +age <- 122 -``` +# We can do math with objects +height <- height * 2 # multiply +# Notice how we are overwriting the original value of height. R replaces the old value with the new one. +age <- age - 20 # subtract +height_index <- height/age # divide +height_sq <- height^2 # raise to an exponent -This is simple and you'll rarely do it in real-world scenarios. +# This is simplistic and you'll rarely do it in real-world scenarios. +``` ## 1-Dimensional Data: Vectors We can also assign more complex group of elements of the same type to a particular object. This is called a **vector**, a basic data structure in R. -```{r, message=FALSE, warning=FALSE} -# A group of mass values assigned to "mass_kg" -mass_kg <- c(3, 2, 4, 9, 7, 3, 6) +All elements in a vector must be the same type (all numbers, all text, etc.). -# View object -mass_kg - -# A group of animal names assigned to "animals" -animals <- c("cat", "rat", "bat") +```{r} +weight_kg <- c(3, 2, 4, 9, 7, 3, 6) +weight_kg +``` -# View object +```{r} +animals <- c("cat", "rat", "bat", "rat") animals - ``` -R does everything in vectors - ## Data classes -There are a few main types in R, and they behave differently. +There are a few main types of data in R, and they behave differently. We call these types of data "classes." -- ***Numeric:*** numbers - - Integer (no decimals allowed) - - Double (decimals allowed --- interchangeable with numeric) -- ***Character:*** letters or mixture -- ***Logical:*** True or False; T or F -- ***Factors:*** best used for data that need to be in a specific order; levels indicate the order +- numeric / double (numbers, decimals allowed) +- integer (no decimals allowed) +- character (letters or mixture) +- logical (True or False; T or F) +- factors (best used for data that need to be in a specific order; levels indicate the order) -```{r, message=FALSE, warning=FALSE} +```{r} # Examples of different data classes +weight_kg # numeric, integer, double +animals # character -# We can view what class of data is in each of our objects if we call them - -mass_kg # numeric, integer, double -animals # character - -animal_size <- as.factor(c("small", "medium", "large")) -animal_size # factor puts in order +animal_size <- c("medium", "large", "small", "medium") +animal_size <- factor(animal_size, levels = c("small", "medium", "large")) +animal_size # factor, put in order -logic <- c(T, F, F, T) -logic # logical +logic <- c(T, F, F, T) # logical +logic ``` -Vectors have to contain elements that are all of the same class. +Vectors have to contain elements that are all of the same class. What happens if we put data of different classes into one vector? -```{r, eval = FALSE, message=FALSE, warning=FALSE} -# Will this become an object? -# We will try putting in an integer, double, and character +```{r} vec <- c(1, 1.000, "1") +# R converts everything to character because one element is text. ``` -## Sub-setting Vectors +## Subsetting Vectors -Sometimes we want to pull out and work with specific values from a vector. This is called sub-setting (taking a smaller set of the original). To signify which element of the vector we'd like to pull out, we can use a square bracket and the number of the element we are interested in taking. +Sometimes we want to keep specific values from a vector. This is called subsetting (taking a smaller set of the original). -```{r, message=FALSE, warning=FALSE} -# Use square brackets +We can subset vectors in two different ways: + +- by index (position) +- by condition + +Regardless of which type of subsetting we choose, we indicate that we want to subset by using square brackets: `[]`. -mass_kg[2] # Pull out second element in mass_kg +### Subsetting by Index -mass_kg[2:4] # Pull out 2nd, 3rd, and 4th elements from mass_kg +When we subset by index, we are subsetting based on the position of an element in the vector. + +```{r} +# Use square brackets +weight_kg[2] # returns the 2nd element in the vector +weight_kg[2:4] # returns the 2nd, 3rd, and 4th elements in the vector ``` -## Functions +### Subsetting by Condition -**Functions** are pre-written bits of codes that perform specific tasks for us. There are ones built into R (base R), but later in the course we will see that there are more specialized ones that we can equip using another function called `library()`. +Sometimes we don't know or don't want to list out all of the locations for the data we need. Instead, we might want to subset based on a quality of the data itself. -Functions are always followed by parentheses. Anything you type into the parentheses are called **arguments**. +To do this, we set a "condition" that must be met in order for the data to be returned. -```{r, message=FALSE, warning=FALSE} -# Functions +```{r} +# let's start with a condition +weight_kg > 5 +# this returns a logical vector (true/false) that tells us which positions meet the condition. -# Average the mass_kg vector from above -mass_kg_mean <- mean(mass_kg) +# we now put that condition inside the square brackets +weight_kg[weight_kg > 5] -# View -mass_kg_mean +# we can also do this with characters +animals == "cat" +animals[animals == "cat"] +``` + +## Functions -# Round the result in mass_kg mean -round(mass_kg_mean) +[Functions]{.underline} are pre-written bits of codes that perform specific tasks for us. Functions are always followed by parentheses. + +Anything you type into the parentheses are called [arguments]{.underline}. Arguments are pieces of information that we give to a function so it performs its task the way we want it to. To add more than one argument, you separate them with a comma. + +```{r} +## Functions +weight_kg_mean <- mean(weight_kg) # average of the mass_kg vector from above +weight_kg_mean -# Maybe we want to round to 2 digits past 0 -round(mass_kg_mean, digits = 2) +# separate arguments with commas +round(weight_kg_mean) # rounding +round(weight_kg_mean, digits = 2) # round to 2 digits past 0 ``` -To get more information about a function, use the `help()` function or `? name_of_function`. +To get more information about a function, use the `help()` function or `?name_of_function`. -```{r, message=FALSE, warning=FALSE, eval=FALSE} -help(round) # or type ? help +```{r} +#| eval: false +help(round) # or type ?round ``` We can use a function called `class()` to figure out the data type of a vector. -```{r, message=FALSE, warning=FALSE} -# A function that tells us the class -class(mass_kg) +```{r} +class(weight_kg) ``` -### Challenge +### Small Group Challenge Let's practice! Write a few lines of code that do the following: -- Create a vector with numbers from 6 to 1 (6, 5, 4, 3, 2, 1) -- Assign the vector to an object named `vec` -- Subset `vec` to include the last 3 numbers (should include 3, 2, 1) -- Find the sum of the numbers (hint: use the `sum()` function) +- create a vector with numbers from 6 to 1 (6, 5, 4, 3, 2, 1) +- assign the vector to an object named `six_to_one` +- subset `six_to_one` to include the last 3 numbers (should include 3, 2, 1) +- find the sum of the numbers (hint: use the `sum()` function) -***Answer:*** 6 +```{r} +# Write your code here -```{r, message=FALSE, warning=FALSE} -# Make vector -vec <- c(6, 5, 4, 3, 2, 1) +``` -# Check work -vec +::: instructor-only +**Answer:** 6 -# Subset last three elements -vec <- vec[4:6] +```{r} +six_to_one <- c(6, 5, 4, 3, 2, 1) +six_to_one -# Check work -vec +# subsetting by index (position) +last_three <- six_to_one[4:6] +last_three -# Sum final vector -sum(vec) -``` +# alternate: subsetting by condition +last_three <- six_to_one[six_to_one < 4] +last_three -Already finished? See if you can condense your code down any further. +sum(last_three) +``` -```{r, message=FALSE, warning=FALSE} -# Auto-generate sequence of numbers 6 to 1 -vec <- seq(6, 1) +Already finished? See if you can condense your code down any further or turn around and help out a neighbor. -# From inside to outside: -# (1) subset last 3 elements in vector -# (2) sum the resulting vector -sum(vec[4:6]) +```{r} +sum(six_to_one[4:6]) ``` +::: ## 2-Dimensional Data: Data Frames -Most of the data you will encounter is two-dimensional, i.e., it has columns and rows. Its structure resembles a spreadsheet. R is really good with these types of data. +Most of the data you will encounter is two-dimensional (i.e., it has columns and rows). Its structure resembles a spreadsheet. R is really good with these types of data. We call these 2D object [data frames]{.underline}. -- **Rows** go side-to-side -- **Columns** go up-and-down +- **rows** go side-to-side +- **columns** go up-and-down + +Columns typically represent variables (a factor, trait, or condition) we are interested in. + +Rows represent observations. Each row will be one set of observations. ![](assets/row_column.png) Data frames are made up of multiple vectors. Each vector becomes a column. -```{r, message=FALSE, warning=FALSE} -# Create a simple data frame -# First column is plant heights -# Next column is nitrogen T/F -plants <- data.frame(height = c(55, 17, 42, 47, 68, 39), - nitrogen = c("Y", "N", "N", "Y", "Y", "N")) +```{r} +# Create a simple data frame from scratch +plants <- data.frame(height = c(55, 17, 42, 47, 68, 39, 51, 23), + nitrogen = c("Y", "N", "N", "Y", "Y", "N", "Y", "N")) -# View our new data frame plants ``` -### Sub-setting Data Frames +## Subsetting Data Frames -Because data frames are two-dimensional, we can subset data in different ways. We can select specific columns, specific rows, or filter rows by values. +Because data frames are two-dimensional, we can subset the data in a data frame by selecting specific columns, specific rows, or both! -R always takes information for the row first, then the column. +R *always* takes information for the row first, then the column. -```{r, message=FALSE, warning=FALSE} -# Sub-setting data frames +Think of it as: data\[row, column\] -# 2-dimensional, so you need to specify row and then column as [row, column] +Just like with vectors, we can subset data frames by index or by condition using square brackets. -# plants[3] # Will not work +The pattern is `dataframe[rows, columns]`. -# Get row 4, column 1 -plants[4,1] +### Subsetting by Index + +```{r} +# Sub-setting data frames +# 2-dimensional, so you need to specify row and then column +# plants[3] # doesn't work -# Get column 2 -plants[, 2] +# row then column +plants[4,1] +plants[,2] ``` Another way to pull out a single column from a data frame is with the `$` operator. This can really come in handy when you know the name of the column but not the position. -```{r, message=FALSE, warning=FALSE} -# Get "height" column +```{r} plants$height +# The $ operator allows you to refer to a column by name instead of position. ``` -Ideally, after typing `$`, R should give you a drop down list of all the column names that you can select from. Sometimes that doesn't happen though, and that's okay! You can also find column names / numbers by opening and looking through your data frame object in the Environment. +Regardless of how you specify the column, you can put that code inside of a function, such as the `mean()`. + +```{r} +mean(plants$height) +``` -### Discussion Point +### Subsetting by Condition -This is a simple data set, but let's come up with some questions. +This is a simple data set, but we can use it to ask a question. -*Example*: Height of plants treated with nitrogen vs. those not treated. +Example: Are the heights of plants treated with nitrogen different from those not treated? -```{r, message=FALSE, warning=FALSE} -# Filter rows based on values in the nitrogen column +First, we will need to keep only the plants that were treated with nitrogen. -# Isolate plants data where nitrogen is "Y" +```{r} +# filter rows based on values in the nitrogen column plants[plants$nitrogen == "Y", ] +# notice how the comma is still required. leaving it blank after the comma means "keep all columns." -# Find the mean of plants treated with nitrogen +# calculate the mean mean(plants[plants$nitrogen == "Y", 1]) - ``` -### Challenge: Using help files on functions +We can create a new data frame by saving the subset data frame to a new object. -Find the standard deviation (`sd()`) of the height of plants treated with nitrogen and those not treated with nitrogen. Which group has the larger standard deviation? +```{r} +plants_no_nitrogen <- plants[plants$nitrogen == "N", ] +``` -```{r, message=FALSE, warning=FALSE} -# Standard deviation of plants treated with nitrogen -sd(plants[plants$nitrogen == "Y", 1]) +### Small Group Challenge (5 min) -# Standard deviation of plants NOT treated with nitrogen -sd(plants[plants$nitrogen == "N", 1]) +As a group, find the standard deviation (`sd()`) of the height of plants treated with nitrogen and those not treated with nitrogen. Which group has the larger standard deviation? Any ideas what that means? -``` +```{r} +# Write your code here -Come up with a definition of standard deviation (Google is your friend!), use the help file (`help()` or `? function`) to find out how the `sd()` function works, and be prepared to show the code you used. +``` -## Helpful Functions +::: instructor-only +**Answer:** -Below are some functions that I often find very helpful when working with vectors and data frames: +```{r} +sd(plants[plants$nitrogen == "Y", 1]) +sd(plants[plants$nitrogen == "N", 1]) +``` -- `str()` -- `head()` and `tail()` -- `length()` -- `ncol()` and `nrow()` -- `names()` +**Instructor Note:** The **no-nitrogen group** has the larger standard deviation. Discuss: a larger SD means more variability in plant heights among untreated plants. Ask students why that might be? Without nitrogen, other factors like light or water availability may drive more variation in growth outcomes. This is a preview of the statistical thinking they will develop in later modules! +::: -```{r, message=FALSE, warning=FALSE} -# Structure of the object -str(plants) +## Helpful Functions -# First 6 values or rows (default) -head(plants) +Below are some particularly useful functions when working with vectors and data frames: -# First n values or rows -head(plants, n = 4) +- `str()`: shows the structure of the object (e.g., rows and columns) +- `head()` and `tail()`: shows the first six and last six rows, respectively +- `length()`: counts the number of elements in an object +- `ncol()` and `nrow()`: counts the number of columns or rows, respectively +- `names()`: shows the names of the columns in a data frame +- `unique()`: shows one of each element in an object (removes duplicate values) -# Last n values or rows -tail(plants, n = 4) +```{r} +str(plants) # structure of the object -# For a dataframe, length() gives the number of columns -length(plants) +head(plants) # first 6 values or rows +head(plants, n = 4) # first n values or rows +tail(plants, n = 4) # last n values or rows -# For a column or vector, length() gives number of rows -length(plants$height) +length(plants) # for a dataframe, number of columns +length(plants$height) # for a column, number of rows -# Number of columns -ncol(plants) +ncol(plants) # number of columns +nrow(plants) # number of rows -# Number of rows -nrow(plants) +names(plants) # list of column or object names -# List of column or object names -names(plants) -``` +unique(plants$nitrogen) # one of each value present in the column, duplicates removed +``` \ No newline at end of file diff --git a/modules/module_1/module1_2.tex b/modules/module_1/module1_2.tex new file mode 100644 index 0000000..2412717 --- /dev/null +++ b/modules/module_1/module1_2.tex @@ -0,0 +1,969 @@ +% Options for packages loaded elsewhere +% Options for packages loaded elsewhere +\PassOptionsToPackage{unicode}{hyperref} +\PassOptionsToPackage{hyphens}{url} 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+\newcommand*\pandocbounded[1]{% scales image to fit in text height/width + \sbox\pandoc@box{#1}% + \Gscale@div\@tempa{\textheight}{\dimexpr\ht\pandoc@box+\dp\pandoc@box\relax}% + \Gscale@div\@tempb{\linewidth}{\wd\pandoc@box}% + \ifdim\@tempb\p@<\@tempa\p@\let\@tempa\@tempb\fi% select the smaller of both + \ifdim\@tempa\p@<\p@\scalebox{\@tempa}{\usebox\pandoc@box}% + \else\usebox{\pandoc@box}% + \fi% +} +% Set default figure placement to htbp +\def\fps@figure{htbp} +\makeatother + +\ifLuaTeX + \usepackage{luacolor} + \usepackage[soul]{lua-ul} +\else + \usepackage{soul} +\fi + + + + +\setlength{\emergencystretch}{3em} % prevent overfull lines + +\providecommand{\tightlist}{% + \setlength{\itemsep}{0pt}\setlength{\parskip}{0pt}} + + + + + + +\KOMAoption{captions}{tableheading} +\makeatletter +\@ifpackageloaded{caption}{}{\usepackage{caption}} +\AtBeginDocument{% +\ifdefined\contentsname + \renewcommand*\contentsname{Table of contents} +\else + \newcommand\contentsname{Table of contents} +\fi +\ifdefined\listfigurename + \renewcommand*\listfigurename{List of Figures} +\else + \newcommand\listfigurename{List of Figures} +\fi +\ifdefined\listtablename + \renewcommand*\listtablename{List of Tables} +\else + \newcommand\listtablename{List of Tables} +\fi +\ifdefined\figurename + \renewcommand*\figurename{Figure} +\else + \newcommand\figurename{Figure} +\fi +\ifdefined\tablename + \renewcommand*\tablename{Table} +\else + \newcommand\tablename{Table} +\fi +} +\@ifpackageloaded{float}{}{\usepackage{float}} +\floatstyle{ruled} +\@ifundefined{c@chapter}{\newfloat{codelisting}{h}{lop}}{\newfloat{codelisting}{h}{lop}[chapter]} +\floatname{codelisting}{Listing} +\newcommand*\listoflistings{\listof{codelisting}{List of Listings}} +\makeatother +\makeatletter +\makeatother +\makeatletter +\@ifpackageloaded{caption}{}{\usepackage{caption}} +\@ifpackageloaded{subcaption}{}{\usepackage{subcaption}} +\makeatother +\usepackage{bookmark} +\IfFileExists{xurl.sty}{\usepackage{xurl}}{} % add URL line breaks if available +\urlstyle{same} +\hypersetup{ + pdftitle={1.2: Intro to Coding in R}, + pdfauthor={Ellen Bledsoe}, + colorlinks=true, + linkcolor={blue}, + filecolor={Maroon}, + citecolor={Blue}, + urlcolor={Blue}, + pdfcreator={LaTeX via pandoc}} + + +\title{1.2: Intro to Coding in R} +\author{Ellen Bledsoe} +\date{} +\begin{document} +\maketitle + + +\section{Introduction to Coding}\label{introduction-to-coding} + +In this lesson, we will create objects, build vectors, subset data, use +functions, and work with data frames. + +\subsection{Learning Outcomes}\label{learning-outcomes} + +\begin{itemize} +\tightlist +\item + Students will be able to define the following terms: object, + assignment, vector, function, data frame +\item + Students will be able to run code line-by-line and as code chunks from + an Rmarkdown file. +\item + Students will be able to write code assigning values to variables and + use these variables to perform various operations. +\item + Students will be able to recall and explain how functions operate, and + the basic syntax around functions (arguments, auto-completion, + parentheses). +\item + Students will be able to differentiate different data classes in R. +\end{itemize} + +\subsection{Assigning Objects}\label{assigning-objects} + +An object is simply a name that stores a value in R so that we can reuse +it later. + +Assignments are really key to almost everything we do in R. This is how +we create permanence in R. Anything can be saved to an object, and we do +this with the assignment operator, \texttt{\textless{}-}. + +The short-cut for \texttt{\textless{}-} is \texttt{Alt\ +\ -} (or +\texttt{Option\ +\ -} on a Mac) + +\begin{Shaded} +\begin{Highlighting}[] +\CommentTok{\# Assigning Objects} +\NormalTok{height }\OtherTok{\textless{}{-}} \FloatTok{47.5} +\NormalTok{age }\OtherTok{\textless{}{-}} \DecValTok{122} + +\CommentTok{\# We can do math with objects} +\NormalTok{height }\OtherTok{\textless{}{-}}\NormalTok{ height }\SpecialCharTok{*} \DecValTok{2} \CommentTok{\# multiply} +\CommentTok{\# Notice how we are overwriting the original value of height. R replaces the old value with the new one.} +\NormalTok{age }\OtherTok{\textless{}{-}}\NormalTok{ age }\SpecialCharTok{{-}} \DecValTok{20} \CommentTok{\# subtract} +\NormalTok{height\_index }\OtherTok{\textless{}{-}}\NormalTok{ height}\SpecialCharTok{/}\NormalTok{age }\CommentTok{\# divide} +\NormalTok{height\_sq }\OtherTok{\textless{}{-}}\NormalTok{ height}\SpecialCharTok{\^{}}\DecValTok{2} \CommentTok{\# raise to an exponent} + +\CommentTok{\# This is simplistic and you\textquotesingle{}ll rarely do it in real{-}world scenarios. } +\end{Highlighting} +\end{Shaded} + +\subsection{1-Dimensional Data: Vectors}\label{dimensional-data-vectors} + +We can also assign more complex group of elements of the same type to a +particular object. This is called a \textbf{vector}, a basic data +structure in R. + +All elements in a vector must be the same type (all numbers, all text, +etc.). + +\begin{Shaded} +\begin{Highlighting}[] +\NormalTok{weight\_kg }\OtherTok{\textless{}{-}} \FunctionTok{c}\NormalTok{(}\DecValTok{3}\NormalTok{, }\DecValTok{2}\NormalTok{, }\DecValTok{4}\NormalTok{, }\DecValTok{9}\NormalTok{, }\DecValTok{7}\NormalTok{, }\DecValTok{3}\NormalTok{, }\DecValTok{6}\NormalTok{)} +\NormalTok{weight\_kg} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] 3 2 4 9 7 3 6 +\end{verbatim} + +\begin{Shaded} +\begin{Highlighting}[] +\NormalTok{animals }\OtherTok{\textless{}{-}} \FunctionTok{c}\NormalTok{(}\StringTok{"cat"}\NormalTok{, }\StringTok{"rat"}\NormalTok{, }\StringTok{"bat"}\NormalTok{, }\StringTok{"rat"}\NormalTok{)} +\NormalTok{animals} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] "cat" "rat" "bat" "rat" +\end{verbatim} + +\begin{Shaded} +\begin{Highlighting}[] +\CommentTok{\# R does everything in vectors} +\end{Highlighting} +\end{Shaded} + +\subsection{Data classes}\label{data-classes} + +There are a few main types of data in R, and they behave differently. We +call these types of data ``classes.'' + +\begin{itemize} +\tightlist +\item + numeric / double (numbers, decimals allowed) +\item + integer (no decimals allowed) +\item + character (letters or mixture) +\item + logical (True or False; T or F) +\item + factors (best used for data that need to be in a specific order; + levels indicate the order) +\end{itemize} + +\begin{Shaded} +\begin{Highlighting}[] +\CommentTok{\# Examples of different data classes} +\NormalTok{weight\_kg }\CommentTok{\# numeric, integer, double} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] 3 2 4 9 7 3 6 +\end{verbatim} + +\begin{Shaded} +\begin{Highlighting}[] +\NormalTok{animals }\CommentTok{\# character} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] "cat" "rat" "bat" "rat" +\end{verbatim} + +\begin{Shaded} +\begin{Highlighting}[] +\NormalTok{animal\_size }\OtherTok{\textless{}{-}} \FunctionTok{c}\NormalTok{(}\StringTok{"medium"}\NormalTok{, }\StringTok{"large"}\NormalTok{, }\StringTok{"small"}\NormalTok{, }\StringTok{"medium"}\NormalTok{)} +\NormalTok{animal\_size }\OtherTok{\textless{}{-}} \FunctionTok{factor}\NormalTok{(animal\_size, }\AttributeTok{levels =} \FunctionTok{c}\NormalTok{(}\StringTok{"small"}\NormalTok{, }\StringTok{"medium"}\NormalTok{, }\StringTok{"large"}\NormalTok{))} +\NormalTok{animal\_size }\CommentTok{\# factor, put in order } +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] medium large small medium +Levels: small medium large +\end{verbatim} + +\begin{Shaded} +\begin{Highlighting}[] +\NormalTok{logic }\OtherTok{\textless{}{-}} \FunctionTok{c}\NormalTok{(T, F, F, T) }\CommentTok{\# logical} +\NormalTok{logic} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] TRUE FALSE FALSE TRUE +\end{verbatim} + +Vectors have to contain elements that are all of the same class. What +happens if we put data of different classes into one vector? + +\begin{Shaded} +\begin{Highlighting}[] +\NormalTok{vec }\OtherTok{\textless{}{-}} \FunctionTok{c}\NormalTok{(}\DecValTok{1}\NormalTok{, }\FloatTok{1.000}\NormalTok{, }\StringTok{"1"}\NormalTok{)} +\CommentTok{\# R converts everything to character because one element is text.} +\end{Highlighting} +\end{Shaded} + +\subsection{Subsetting Vectors}\label{subsetting-vectors} + +Sometimes we want to keep specific values from a vector. This is called +subsetting (taking a smaller set of the original). + +We can subset vectors in two different ways: + +\begin{itemize} +\tightlist +\item + by index (position) +\item + by condition +\end{itemize} + +Regardless of which type of subsetting we choose, we indicate that we +want to subset by using square brackets: \texttt{{[}{]}}. + +\subsubsection{Subsetting by Index}\label{subsetting-by-index} + +When we subset by index, we are subsetting based on the position of an +element in the vector. + +\begin{Shaded} +\begin{Highlighting}[] +\CommentTok{\# Use square brackets} +\NormalTok{weight\_kg[}\DecValTok{2}\NormalTok{] }\CommentTok{\# returns the 2nd element in the vector} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] 2 +\end{verbatim} + +\begin{Shaded} +\begin{Highlighting}[] +\NormalTok{weight\_kg[}\DecValTok{2}\SpecialCharTok{:}\DecValTok{4}\NormalTok{] }\CommentTok{\# returns the 2nd, 3rd, and 4th elements in the vector} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] 2 4 9 +\end{verbatim} + +\subsubsection{Subsetting by Condition}\label{subsetting-by-condition} + +Sometimes we don't know or don't want to list out all of the locations +for the data we need. Instead, we might want to subset based on a +quality of the data itself. + +To do this, we set a ``condition'' that must be met in order for the +data to be returned. + +\begin{Shaded} +\begin{Highlighting}[] +\CommentTok{\# let\textquotesingle{}s start with a condition} +\NormalTok{weight\_kg }\SpecialCharTok{\textgreater{}} \DecValTok{5} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] FALSE FALSE FALSE TRUE TRUE FALSE TRUE +\end{verbatim} + +\begin{Shaded} +\begin{Highlighting}[] +\CommentTok{\# this returns a logical vector (true/false) that tells us which positions meet the condition.} + +\CommentTok{\# we now put that condition inside the square brackets} +\NormalTok{weight\_kg[weight\_kg }\SpecialCharTok{\textgreater{}} \DecValTok{5}\NormalTok{]} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] 9 7 6 +\end{verbatim} + +\begin{Shaded} +\begin{Highlighting}[] +\CommentTok{\# we can also do this with characters} +\NormalTok{animals }\SpecialCharTok{==} \StringTok{"cat"} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] TRUE FALSE FALSE FALSE +\end{verbatim} + +\begin{Shaded} +\begin{Highlighting}[] +\NormalTok{animals[animals }\SpecialCharTok{==} \StringTok{"cat"}\NormalTok{]} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] "cat" +\end{verbatim} + +\subsection{Functions}\label{functions} + +\ul{Functions} are pre-written bits of codes that perform specific tasks +for us. Functions are always followed by parentheses. + +Anything you type into the parentheses are called \ul{arguments}. +Arguments are pieces of information that we give to a function so it +performs its task the way we want it to. To add more than one argument, +you separate them with a comma. + +\begin{Shaded} +\begin{Highlighting}[] +\DocumentationTok{\#\# Functions} +\NormalTok{weight\_kg\_mean }\OtherTok{\textless{}{-}} \FunctionTok{mean}\NormalTok{(weight\_kg) }\CommentTok{\# average of the mass\_kg vector from above} +\NormalTok{weight\_kg\_mean} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] 4.857143 +\end{verbatim} + +\begin{Shaded} +\begin{Highlighting}[] +\CommentTok{\# separate arguments with commas} +\FunctionTok{round}\NormalTok{(weight\_kg\_mean) }\CommentTok{\# rounding} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] 5 +\end{verbatim} + +\begin{Shaded} +\begin{Highlighting}[] +\FunctionTok{round}\NormalTok{(weight\_kg\_mean, }\AttributeTok{digits =} \DecValTok{2}\NormalTok{) }\CommentTok{\# round to 2 digits past 0} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] 4.86 +\end{verbatim} + +To get more information about a function, use the \texttt{help()} +function or \texttt{?name\_of\_function}. + +\begin{Shaded} +\begin{Highlighting}[] +\FunctionTok{help}\NormalTok{(round) }\CommentTok{\# or type ?help} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +starting httpd help server ... done +\end{verbatim} + +We can use a function called \texttt{class()} to figure out the data +type of a vector. + +\begin{Shaded} +\begin{Highlighting}[] +\FunctionTok{class}\NormalTok{(weight\_kg)} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] "numeric" +\end{verbatim} + +\subsubsection{Small Group Challenge}\label{small-group-challenge} + +Let's practice! Write a few lines of code that do the following: + +\begin{itemize} +\tightlist +\item + create a vector with numbers from 6 to 1 (6, 5, 4, 3, 2, 1) +\item + assign the vector to an object named \texttt{six\_to\_one} +\item + subset \texttt{six\_to\_one} to include the last 3 numbers (should + include 3, 2, 1) +\item + find the sum of the numbers (hint: use the \texttt{sum()} function) +\end{itemize} + +Answer: 6 + +\begin{Shaded} +\begin{Highlighting}[] +\NormalTok{six\_to\_one }\OtherTok{\textless{}{-}} \FunctionTok{c}\NormalTok{(}\DecValTok{6}\NormalTok{, }\DecValTok{5}\NormalTok{, }\DecValTok{4}\NormalTok{, }\DecValTok{3}\NormalTok{, }\DecValTok{2}\NormalTok{, }\DecValTok{1}\NormalTok{)} +\NormalTok{six\_to\_one} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] 6 5 4 3 2 1 +\end{verbatim} + +\begin{Shaded} +\begin{Highlighting}[] +\CommentTok{\# subsetting by index (position)} +\NormalTok{last\_three }\OtherTok{\textless{}{-}}\NormalTok{ six\_to\_one[}\DecValTok{4}\SpecialCharTok{:}\DecValTok{6}\NormalTok{]} +\NormalTok{last\_three} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] 3 2 1 +\end{verbatim} + +\begin{Shaded} +\begin{Highlighting}[] +\CommentTok{\# alternate: subsetting by condition} +\NormalTok{last\_three }\OtherTok{\textless{}{-}}\NormalTok{ six\_to\_one[six\_to\_one }\SpecialCharTok{\textless{}} \DecValTok{4}\NormalTok{]} +\NormalTok{last\_three} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] 3 2 1 +\end{verbatim} + +\begin{Shaded} +\begin{Highlighting}[] +\FunctionTok{sum}\NormalTok{(last\_three)} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] 6 +\end{verbatim} + +Already finished? See if you can condense your code down any further or +turn around and help out a neighbor. + +\begin{Shaded} +\begin{Highlighting}[] +\NormalTok{six\_to\_one }\OtherTok{\textless{}{-}} \FunctionTok{seq}\NormalTok{(}\DecValTok{6}\NormalTok{, }\DecValTok{1}\NormalTok{)} +\FunctionTok{sum}\NormalTok{(six\_to\_one[}\DecValTok{4}\SpecialCharTok{:}\DecValTok{6}\NormalTok{])} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] 6 +\end{verbatim} + +\subsection{2-Dimensional Data: Data +Frames}\label{dimensional-data-data-frames} + +Most of the data you will encounter is two-dimensional (i.e., it has +columns and rows). Its structure resembles a spreadsheet. R is really +good with these types of data. We call these 2D object \ul{data frames}. + +\begin{itemize} +\tightlist +\item + \textbf{rows} go side-to-side +\item + \textbf{columns} go up-and-down +\end{itemize} + +Columns typically represent variables (a factor, trait, or condition) we +are interested in. + +Rows represent observations. Each row will be one set of observations. + +\pandocbounded{\includegraphics[keepaspectratio]{row_column.png}} + +Data frames are made up of multiple vectors. Each vector becomes a +column. + +\begin{Shaded} +\begin{Highlighting}[] +\CommentTok{\# Create a simple data frame from scratch} +\NormalTok{plants }\OtherTok{\textless{}{-}} \FunctionTok{data.frame}\NormalTok{(}\AttributeTok{height =} \FunctionTok{c}\NormalTok{(}\DecValTok{55}\NormalTok{, }\DecValTok{17}\NormalTok{, }\DecValTok{42}\NormalTok{, }\DecValTok{47}\NormalTok{, }\DecValTok{68}\NormalTok{, }\DecValTok{39}\NormalTok{, }\DecValTok{51}\NormalTok{, }\DecValTok{23}\NormalTok{),} + \AttributeTok{nitrogen =} \FunctionTok{c}\NormalTok{(}\StringTok{"Y"}\NormalTok{, }\StringTok{"N"}\NormalTok{, }\StringTok{"N"}\NormalTok{, }\StringTok{"Y"}\NormalTok{, }\StringTok{"Y"}\NormalTok{, }\StringTok{"N"}\NormalTok{, }\StringTok{"Y"}\NormalTok{, }\StringTok{"N"}\NormalTok{))} + +\NormalTok{plants} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} + height nitrogen +1 55 Y +2 17 N +3 42 N +4 47 Y +5 68 Y +6 39 N +7 51 Y +8 23 N +\end{verbatim} + +\subsection{Subsetting Data Frames}\label{subsetting-data-frames} + +Because data frames are two-dimensional, we can subset the data in a +data frame by selecting specific columns, specific rows, or both! + +R \emph{always} takes information for the row first, then the column. + +Think of it as: data{[}row, column{]} + +Just like with vectors, we can subset data frames by index or by +condition using square brackets. + +The pattern is \texttt{dataframe{[}rows,\ columns{]}}. + +\subsubsection{Subsetting by Index}\label{subsetting-by-index-1} + +\begin{Shaded} +\begin{Highlighting}[] +\CommentTok{\# Sub{-}setting data frames} +\CommentTok{\# 2{-}dimensional, so you need to specify row and then column} +\CommentTok{\# plants[3] \# doesn\textquotesingle{}t work} + +\CommentTok{\# row then column} +\NormalTok{plants[}\DecValTok{4}\NormalTok{,}\DecValTok{1}\NormalTok{]} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] 47 +\end{verbatim} + +\begin{Shaded} +\begin{Highlighting}[] +\NormalTok{plants[,}\DecValTok{2}\NormalTok{]} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] "Y" "N" "N" "Y" "Y" "N" "Y" "N" +\end{verbatim} + +Another way to pull out a single column from a data frame is with the +\texttt{\$} operator. This can really come in handy when you know the +name of the column but not the position. + +\begin{Shaded} +\begin{Highlighting}[] +\NormalTok{plants}\SpecialCharTok{$}\NormalTok{height} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] 55 17 42 47 68 39 51 23 +\end{verbatim} + +\begin{Shaded} +\begin{Highlighting}[] +\CommentTok{\# The $ operator allows you to refer to a column by name instead of position.} +\end{Highlighting} +\end{Shaded} + +Regardless of how you specify the column, you can put that code inside +of a function, such as the \texttt{mean()}. + +\begin{Shaded} +\begin{Highlighting}[] +\FunctionTok{mean}\NormalTok{(plants}\SpecialCharTok{$}\NormalTok{height)} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] 42.75 +\end{verbatim} + +\subsubsection{Subsetting by Condition}\label{subsetting-by-condition-1} + +This is a simple data set, but we can use it to ask a question. + +Example: Are the heights of plants treated with nitrogen different from +those not treated? + +First, we will need to keep only the plants that were treated with +nitrogen. + +\begin{Shaded} +\begin{Highlighting}[] +\CommentTok{\# filter rows based on values in the nitrogen column} +\NormalTok{plants[plants}\SpecialCharTok{$}\NormalTok{nitrogen }\SpecialCharTok{==} \StringTok{"Y"}\NormalTok{, ]} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} + height nitrogen +1 55 Y +4 47 Y +5 68 Y +7 51 Y +\end{verbatim} + +\begin{Shaded} +\begin{Highlighting}[] +\CommentTok{\# notice how the comma is still required. leaving it blank after the comma means "keep all columns."} + +\CommentTok{\# calculate the mean} +\FunctionTok{mean}\NormalTok{(plants[plants}\SpecialCharTok{$}\NormalTok{nitrogen }\SpecialCharTok{==} \StringTok{"Y"}\NormalTok{, }\DecValTok{1}\NormalTok{])} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] 55.25 +\end{verbatim} + +We can create a new data frame by saving the subset data frame to a new +object. + +\begin{Shaded} +\begin{Highlighting}[] +\NormalTok{plants\_no\_nitrogen }\OtherTok{\textless{}{-}}\NormalTok{ plants[plants}\SpecialCharTok{$}\NormalTok{nitrogen }\SpecialCharTok{==} \StringTok{"N"}\NormalTok{, ]} +\end{Highlighting} +\end{Shaded} + +\subsubsection{Small Group Challenge (5 +min)}\label{small-group-challenge-5-min} + +As a group, find the standard deviation (\texttt{sd()}) of the height of +plants treated with nitrogen and those not treated with nitrogen. Which +group has the larger standard deviation? Any ideas what that means? + +\begin{Shaded} +\begin{Highlighting}[] +\FunctionTok{sd}\NormalTok{(plants[plants}\SpecialCharTok{$}\NormalTok{nitrogen }\SpecialCharTok{==} \StringTok{"Y"}\NormalTok{, }\DecValTok{1}\NormalTok{])} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] 9.105859 +\end{verbatim} + +\begin{Shaded} +\begin{Highlighting}[] +\FunctionTok{sd}\NormalTok{(plants[plants}\SpecialCharTok{$}\NormalTok{nitrogen }\SpecialCharTok{==} \StringTok{"N"}\NormalTok{, }\DecValTok{1}\NormalTok{])} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] 12.14839 +\end{verbatim} + +\subsection{Helpful Functions}\label{helpful-functions} + +Below are some functions that I often find very helpful when working +with vectors and data frames: + +\begin{itemize} +\tightlist +\item + \texttt{str()}: shows the structure of the object (e.g., rows and + columns) +\item + \texttt{head()} and \texttt{tail()}: shows the first six and last six + rows, respectfully +\item + \texttt{length()}: counts the number of elements in an object +\item + \texttt{ncol()} and \texttt{nrow()}: counts the number of columns or + rows, respectfully +\item + \texttt{names()}: shows the names of the columns in a data frame +\item + \texttt{unique()}: shows one of each element in an object (removes + duplicate values) +\end{itemize} + +\begin{Shaded} +\begin{Highlighting}[] +\FunctionTok{str}\NormalTok{(plants) }\CommentTok{\# structure of the object} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +'data.frame': 8 obs. of 2 variables: + $ height : num 55 17 42 47 68 39 51 23 + $ nitrogen: chr "Y" "N" "N" "Y" ... +\end{verbatim} + +\begin{Shaded} +\begin{Highlighting}[] +\FunctionTok{head}\NormalTok{(plants) }\CommentTok{\# first 6 values or rows} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} + height nitrogen +1 55 Y +2 17 N +3 42 N +4 47 Y +5 68 Y +6 39 N +\end{verbatim} + +\begin{Shaded} +\begin{Highlighting}[] +\FunctionTok{head}\NormalTok{(plants, }\AttributeTok{n =} \DecValTok{4}\NormalTok{) }\CommentTok{\# first n values or rows} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} + height nitrogen +1 55 Y +2 17 N +3 42 N +4 47 Y +\end{verbatim} + +\begin{Shaded} +\begin{Highlighting}[] +\FunctionTok{tail}\NormalTok{(plants, }\AttributeTok{n =} \DecValTok{4}\NormalTok{) }\CommentTok{\# last n values or rows} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} + height nitrogen +5 68 Y +6 39 N +7 51 Y +8 23 N +\end{verbatim} + +\begin{Shaded} +\begin{Highlighting}[] +\FunctionTok{length}\NormalTok{(plants) }\CommentTok{\# for a dataframe, number of columns} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] 2 +\end{verbatim} + +\begin{Shaded} +\begin{Highlighting}[] +\FunctionTok{length}\NormalTok{(plants}\SpecialCharTok{$}\NormalTok{height) }\CommentTok{\# for a column, number of rows} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] 8 +\end{verbatim} + +\begin{Shaded} +\begin{Highlighting}[] +\FunctionTok{ncol}\NormalTok{(plants) }\CommentTok{\# number of columns} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] 2 +\end{verbatim} + +\begin{Shaded} +\begin{Highlighting}[] +\FunctionTok{nrow}\NormalTok{(plants) }\CommentTok{\# number of rows} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] 8 +\end{verbatim} + +\begin{Shaded} +\begin{Highlighting}[] +\FunctionTok{names}\NormalTok{(plants) }\CommentTok{\# list of column or object names} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] "height" "nitrogen" +\end{verbatim} + +\begin{Shaded} +\begin{Highlighting}[] +\FunctionTok{unique}\NormalTok{(plants}\SpecialCharTok{$}\NormalTok{nitrogen) }\CommentTok{\# one of each value present in the column, duplicates removed} +\end{Highlighting} +\end{Shaded} + +\begin{verbatim} +[1] "Y" "N" +\end{verbatim} + + + + +\end{document} diff --git a/modules/module_1/module1_3.qmd b/modules/module_1/module1_3.qmd index 733401b..c1e2fcf 100644 --- a/modules/module_1/module1_3.qmd +++ b/modules/module_1/module1_3.qmd @@ -1,13 +1,24 @@ --- -title: "1.3: 2-Dimensional Data and the `tidyverse`" +title: "1.3: Introduction to the `tidyverse`" +authors: "Keaton Wilson, Ellen Bledsoe" +format: + html: + toc: true --- +```{r} +#| include: false +knitr::opts_chunk$set(echo = TRUE) +``` + +# 2-dimensional Data and the `tidyverse` + ## Learning Outcomes - Students will be able to load packages. - Students will be able to use some functions of the tidyverse: select, filter, the pipe, mutate, summarize, and group by. -- Students will compare and contrast base R and tidyverse methodology for sub-setting data frames. -- Students will able to use tidyverse functions to summarize real-world data. +- Students will compare and contrast base R and tidyverse methodology for subsetting data frames. +- Students will be able to use tidyverse functions to summarize real-world data. ## The `tidyverse`: What is it? @@ -15,15 +26,17 @@ Different programming languages have different syntax (language structure). The Until now, all of the coding we have done is in the original R language, which is often called "base R." The syntax in the `tidyverse` is often pretty different from base R. Both are useful, and many people often combine them, which is why we start with base R. -That said, we will be primarily using the `tidyverse` for the rest of the semester. With the exception of Module 1 Assignment 3, which is exclusively about `tidyverse`, I will never punish you for using base R in place of `tidyverse`, as long as you get the same answer! +That said, we will be primarily using the `tidyverse` for the rest of the course. ### Wait, what is a package?? -Packages are one of the neatest things of working in an open-source environment like R! They contains bits of code (often in the form of functions) that can be reused, making them a core component of reproducible data science. Anyone can develop a package, and there are thousands of them doing all sorts of things. +Packages are one of the neatest things of working in an open-source environment like R! They contain bits of code (often in the form of functions) that can be reused, making them a core component of reproducible data science. Anyone can develop a package, and there are thousands of them doing all sorts of things. + +You *install* a package once, but you *load* it with `library()` every time you start a new R session. ### Explore the `tidyverse` -If you want to learn more about the tidyverse, head over to [www.tidyverse.org](www.tidyverse.org) and browse the site. Below is a brief summary of *some* of the packages I think you might find the most useful. +If you want to learn more about the tidyverse, head over to [www.tidyverse.org](www.tidyverse.org) and browse the site. Below is a brief summary of *some* of the packages that are particularly useful for this course. - `tidyr`: creating data that is consistent in form/shape - `dplyr`: creating data that is clean, easily wrangled, and summarized @@ -35,24 +48,23 @@ If you want to learn more about the tidyverse, head over to [www.tidyverse.org]( ## Practice with the `tidyverse` -### Download and install +### Download and Install -In most scenarios, you will need to download a package from the internet onto your computer before you can use it in RStudio. However, with RStudio Cloud, I've already done this step for you! +In most scenarios, you will need to download a package from the internet onto your computer before you can use it in RStudio. However, with Posit Cloud, this step has already been done for you! For future reference, though: - you usually only need to go through this process once until you update R - we use the function `install.packages()` to download the package -```{r install_tidyverse, message = FALSE} -# Download and install the tidyverse package(s) - -# To run the line of code below, remove the # in front of the line below and run this chunk: - +```{r} +#| message: false +# download and install the tidyverse package(s) +# to run the line of code, remove the # in front of the line below and run this chunk # install.packages("tidyverse") ``` -### Load into R +### Load Packages into R Any time we open R/RStudio and want to use functions from the `tidyverse`, we need to "load" the package. We use the `library()` function to do this. @@ -62,8 +74,9 @@ When you run this code, you'll see a message that says "Attaching packages" and - The "conflict" part is a little more complicated but we don't need to worry too much about it. - If you're curious, though, it is telling us that there are some functions in the `tidyverse` that have the same names as functions that are automatically installed with R and that the `tidyverse` versions of those functions will be the ones that get used by default unless we specify otherwise. -```{r load_tidyverse, message=FALSE, warning=FALSE} -# Load the tidyverse (tell RStudio we want to use this package in this session) +```{r} +#| message: false +# load the tidyverse (tell RStudio we want to use this package in this session) library(tidyverse) ``` @@ -71,134 +84,136 @@ library(tidyverse) To learn about the `tidyverse` syntax, we're going to use a real data set on climate change from Berkeley, CA, USA. It outlines temperatures in major cities across the world since 1750. -```{r climate_data, message=FALSE, warning=FALSE} -# Read in the data file +```{r} +# read in the data file -# `read_csv() is part of the `tidyverse` -# It gives us nice options when reading in data +# `read_csv()` is part of the `tidyverse` and gives us nice options when reading in data climate_df <- read_csv("data/global_temps.csv") -# Let's take a look at the climate data +# Let's take a look at the climate data. climate_df - ``` -The `tidyverse` converts 2D data into something called a tibble! For our intents and purposes, it is basically the same as a data frame (and I'll probably call it a data frame, in reality). +The `tidyverse` converts 2D data into something called a tibble! For our intents and purposes, it is basically the same as a data frame (and we'll use the terms interchangeably). -Let's take a look at our tibble (A.K.A. data frame). +As a quick reminder, *columns* represent variables and are vertical. *Rows* represent observations and are horizontal. -```{r, message=FALSE, warning=FALSE} -# Explore the data set +![](assets/row_column.png) -# First 6 rows -head(climate_df) +Let's take a look at our tibble (AKA data frame). -# Last 6 rows +```{r} +# explore the data set +head(climate_df) str(climate_df) ``` -## `select()`ing columns +## `select()`ing Columns Let's use our first function, `select()`. Select allows us to pick out specific columns from our data. You can use names or their position in the data frame. First, let's remind ourselves how we would accomplish this in base R. -```{r select_baseR, message=FALSE, warning=FALSE} -# Column selection in base R -# Option 1: climate_df$dt - -# Option 2: -# Select multiple columns, in this case the first two -climate_df[, 1:2] +```{r} +# column selection in base R +# climate_df$dt +climate_df[,1:2] ``` -The `select()` function does the same thing but with more power (and, in my opinion, more easily). The first argument in the function is the data frame. Any following arguments are the columns we want to select. +The `select()` function does the same thing but with more power and more readable syntax. The first argument in the function is the data frame. Any following arguments are the columns we want to select. -```{r select_tidy, message=FALSE, warning=FALSE} -# First argument is the data frame, then the columns +```{r} +# first argument is the data frame, then the columns select(climate_df, dt) -# Multiple columns: - -# City and Country +# multiple columns select(climate_df, dt, City, Country) - -# All columns until Country select(climate_df, dt:Country) - -# All columns except City select(climate_df, -City) ``` -You might have noticed that we haven't put any column names in quotations, unlike what we did with selecting columns by name in base R. This is one quirk of the `tidyverse` to which you will need to pay special attention. We *usually* will not need to put column names in quotations. +Note that we haven't put any column names in quotations. Using the `tidyverse`, we will rarely (if ever, in this class) put column names in quotation marks. ### Let's practice! Write a line of code to select the following data from the `climate_df`: average temperature, latitude and longitude -```{r, message=FALSE, warning=FALSE} -# Select three select columns +```{r} +# Write your code here + +``` + +::: instructor-only +**Answer:** + +```{r} select(climate_df, AverageTemperature, Latitude, Longitude) ``` +::: It is important to remember that the computer interprets everything literally. We need to tell the function the **exact** names of the columns. R will interpret `latitude` and `Latitude` as different things; it doesn't know that they are probably the same! -## `filter()`ing rows +## `filter()`ing Rows -`filter()` allows you filter rows by certain conditions. Recall that we did this a bit with base R. +`filter()` allows you filter rows by certain conditions. The code below is how we would do this in base R. -```{r filter_baseR, message=FALSE, warning=FALSE} -# Base R -# Select rows where the average temperature was greater than 25 +```{r} +# base R climate_df[climate_df$AverageTemperature > 25, ] ``` -The code above is, in my opinion, a bit unwieldy. Filter feels more intuitive. We still need the double equal signs, though! +The code above is a bit unwieldy. Filter feels more intuitive. We still need the double equal signs, though! -```{r filter_tidy, message=FALSE, warning=FALSE} -# Filter same content as above, but with `tidyverse` +```{r} +# filter filter(climate_df, AverageTemperature > 25) -# It is easy to write multiple conditions and to chain stuff together: - -# Only rows that meet both conditions; you could also use "&" instead of "," +# easy to write multiple conditions and to chain stuff together +# only rows that meet both conditions; could also use & instead of , filter(climate_df, AverageTemperature > 25, Country == "United States") -# Rows that meet one or the other condition; the "|" symbol means "or" +# rows that meet one or the other condition; the | symbol means `or` filter(climate_df, AverageTemperature > 25 | Country == "United States" ) -# Pulls rows in which the Country column has either "United States" OR "Mexico" +# pulls rows in which the Country column has either "United States" OR "Mexico" filter(climate_df, Country == "United States" | Country == "Mexico") -# Worth noting here that we haven't saved any of this -# To do that, we need to write to a new object +# worth noting here that we haven't saved any of this. We need to write to a new object. us_df <- filter(climate_df, AverageTemperature > 25) ``` ## Let's practice using `select()` and `filter()` -Work with the climate data we've been using this class period. Construct a small set of code that does the following: +Work with the climate data we've been using in this lesson. Construct a small set of code that does the following: -1. Slims down the full data frame to one that contains the columns dt, AverageTemperature and City. Assign this to an object called `slim`. +1. Slims down the full data frame to one that has the date, average temperatures, and the city names. Assign this to an object called `slim`. 2. Filters the data for Paris with an average temperature less than 22. 3. Name this new data frame "cold_paris" -```{r, message=FALSE, warning=FALSE} -# Not piped +```{r} +# Write your code here -# (1) -slim <- select(climate_df, dt, AverageTemperature, City) +``` -# (2) -filtered <- filter(slim, City == "Paris", AverageTemperature < 22) +::: instructor-only +**Answer:** -# (3) +```{r} +slim <- select(climate_df, dt, AverageTemperature, City) +filtered <- filter(slim, City == "Paris", AverageTemperature < 22) cold_paris <- filtered ``` -## The pipe `%>%` +**Instructor Note:** Students haven't learned the pipe yet so the unpiped version is correct here. +::: -You can use the pipe operator to chain tidyverse functions together. You can think of the pipe as automatically sending the output from the first line into the next line as the input. +## The Pipe `%>%` + +You can use the pipe operator to chain `tidyverse` functions together. + +You can think of the pipe as automatically sending the output from the first line into the next line as the input. The output of the previous line of code (to the "left" of the pipe) becomes the first argument in the function to the right of the pipe. + +![](assets/dplyr_pipe.png){fig-align="center" width="75%"} This is helpful for a lot of reasons, including: @@ -207,20 +222,17 @@ This is helpful for a lot of reasons, including: The shortcut for typing a pipe is `Ctrl` + `Shift` + `M` (or `Cmd` + `Shift` + `M` on a Mac) -```{r pipes, message=FALSE, warning=FALSE} -# Open climate_df %>% -# Select City column -# (Returns City column) +::: instructor-only +**Instructor Note:** Newer versions of RStudio (2022 and later) default this shortcut to the native pipe `|>` instead of `%>%`. Both work for everything in this course, but if students get `|>` when they expected `%>%`, go to **Tools → Global Options → Code** and check "Use native pipe operator" - uncheck it to default back to `%>%`, or reassure students that `|>` is fine to use. It's worth deciding which one you want the class to use and making it consistent. +::: + +```{r} climate_df %>% select(dt, City) -# (1) Will store results in cold_paris -# (2) Open climate_df cold_paris <- climate_df %>% - # (3) Select two columns - select(dt, AverageTemperature, City) %>% - # (4) Filter to Paris, then filter data where where avg. temp < 22 - filter(City == "Paris", AverageTemperature < 22) + select(dt, AverageTemperature, City) %>% + filter(City == "Paris", AverageTemperature < 22) ``` ### Let's practice! @@ -230,57 +242,47 @@ In small groups, use pipes to create a new data frame called `warm_nigeria` that - the columns AverageTemperature, City, Country - only rows for the country Nigeria and temperatures that are greater than 30 degrees -```{r nigeria30, message=FALSE, warning=FALSE} +```{r} +# Write your code here + +``` + +::: instructor-only +**Answer:** + +```{r} warm_nigeria <- climate_df %>% - # Select columns select(AverageTemperature, City, Country) %>% - # Filter filter(Country == "Nigeria", AverageTemperature > 30) ``` -## Creating new variables with `mutate()` +**Instructor Note:** A common mistake here is putting `filter()` before `select()` and then getting an error because the pipe tries to filter on `Country` after it has already been dropped. If students hit this, it's a great moment to learn about the order of operations in a pipe chain. +::: -Sometimes our data doesn't have our data in exactly the format we want. For example, we might want our temperature data in Fahrenheit instead of Celsius. +## Turning Data into Information with `summarize()` -The `tidyverse` has a function called `mutate()` that lets us create a new column. Often, we want to apply a function to the entire column or perform some type of calculation, such as converting temp from F to C. +Some of the best ways to understand data are through what we call summary statistics such as the mean (average), standard deviation, minimums, maximums, etc. Fortunately, the `tidyverse` has a handy-dandy function to make this easy to do with data frames. -To help us out, here is the equation for converting: `Fahrenheit = Celsius * (9/5) + 32` +The `summarize()` function creates a new data frame with columns and values we give it. -```{r mutate, message=FALSE, warning=FALSE} -climate_df %>% - # Select temperature column - select(dt, AverageTemperature) %>% - # Create a new column for converted temperatures in Fahrenheit - mutate(AverageTemperature_F = AverageTemperature * (9/5) + 32) -``` +The first part of the argument in the `summarize` function (before the `=`) is the name of the new column we want to create. After the `=` is code that produces the values we want the new column to contain. -The first part of the argument in the mutate function (before the `=`) is the name of the new column we want to create (or, sometime, the name of a column we want to overwrite). After the `=` is what we want the new column to contain. +| `summarize(new_column_name = summary_function(column_to_summarize))` -## Understanding data through `summarize()` - -Like we have talked about in previous classes, some of the best ways for us to understand our data is through what we call summary statistics such as the mean, standard deviation, minimums, maximums, etc. - -Fortunately, the `tidyverse` has a handy-dandy function to make this easy to do with data frames. - -The `summarize()` function creates a new dataframe with columns and values we give it. Similar to `mutate()`, what is on the left of the `=` is the name of the new column, and what is on the right of the `=` is the value(s) to put in the new column. - -```{r summarize, message=FALSE, warning=FALSE} +```{r} +# first attempt at mean and sd of average temperature climate_df %>% - # Make new data frame with one column containing: - summarise(mean_temp = mean(AverageTemperature), # average temperature and - sd_temp = sd(AverageTemperature)) # the other the sd + summarise(mean_temp = mean(AverageTemperature), + sd_temp = sd(AverageTemperature)) ``` Wait a second! Those are some weird values! -`NA` is used to represent missing data. So what is happening here? We know that there are numbers to calculate these values. - -It is important to note that if any of the values in the column that you are trying to summarize are missing (`NA`), you might get some wonky values, like you did above. +`NA` is how R represents missing data. The problem is that even one `NA` in a column causes `mean()` and `sd()` to return `NA` by default. R won't assume you want to ignore the missing values without being told to. Fortunately, `mean()` and `sd()` and some other functions have an argument to remove the missing values: `na.rm = TRUE` -```{r summarize_na.rm, message=FALSE, warning=FALSE} -# Same as above, but with NA values omitted from calculation +```{r} climate_df %>% summarise(mean_temp = mean(AverageTemperature, na.rm = TRUE), sd_temp = sd(AverageTemperature, na.rm = TRUE)) @@ -296,25 +298,31 @@ One common way we analyze data is through something we call the "split, apply, c - *apply* some type of analysis to each group independently and - *combine* the data back together -The `group_by()` function lets us do this. It is most often used in combination with `mutate()` or `summarize()`. +The `group_by()` function lets us do this. It is most often used in combination with `summarize()`. -For example, we can use this method to calculate the mean temperatures of **each** country instead of the overall mean of the entire dataset. In order to do these, we create groups in the data based on the country. +For example, we can use this method to calculate the mean temperatures of **each** country instead of the overall mean of the entire dataset. In order to do this, we create groups in the data based on the country. -```{r group_by, message=FALSE, warning=FALSE} -# Group data by country, then find mean and standard deviation for each +```{r} climate_df %>% group_by(Country) %>% - summarise(mean_temp = mean(AverageTemperature, na.rm = TRUE), + summarise(mean_temp = mean(AverageTemperature, na.rm = TRUE), sd_temp = sd(AverageTemperature, na.rm = TRUE)) ``` ### Let's practice! -Practice using the combination of `group_by()` and `summarize()` to calculate the minimum (`min()`) and maximum (`max()`) average temperatures for each city. Save this data frame as `city_min_max` +Practice using the combination of `group_by()` and `summarize()` to calculate the minimum (`min()`) and maximum (`max()`) average temperatures for each city. Save this data frame as `city_min_max`. -```{r group_by_city, message=FALSE, warning=FALSE} -# Group data by city, then find minimum and maximum for each -climate_df %>% +```{r} +# Write your code here + +``` + +::: instructor-only +**Answer:** + +```{r} +city_min_max <- climate_df %>% group_by(City) %>% summarize(min_temp = min(AverageTemperature, na.rm = TRUE), max_temp = max(AverageTemperature, na.rm = TRUE)) @@ -322,10 +330,53 @@ climate_df %>% Already accomplished this task? Try to figure out how you can keep the "Country" column in the final data frame. This is trickier than you might think! -```{r group_by_city_country, message=FALSE, warning=FALSE} -# Group data by country, then group by city, then find minimum and maximum for each +```{r} climate_df %>% group_by(Country, City) %>% summarize(min_temp = min(AverageTemperature, na.rm = TRUE), max_temp = max(AverageTemperature, na.rm = TRUE)) ``` + +**Instructor Note:** The bonus challenge works because `group_by()` can take multiple columns. Students often try to add `select(Country)` somewhere in the pipe instead, which either drops columns they need or doesn't work as expected. +::: + +## Creating New Columns with `mutate()` + +Sometimes our data frame doesn't have our data points in exactly the format we want. For example, we might want our temperature data in Fahrenheit instead of Celsius. + +The `tidyverse` has a function called `mutate()` that lets us create a new column. Often, we want to apply a function to the entire column or perform some type of calculation, such as converting temperature from Celsius to Fahrenheit. + +Like the `summarize()` function, the first part of the argument in the `mutate` function (before the `=`) is the name of the new column we want to create (or, sometimes, the name of a column we want to overwrite). + +| `mutate(new_column_name = code_producing_values_for_the_new_column)` + +To help us out, here is the equation for converting: `Fahrenheit = Celsius * (9/5) + 32` + +```{r} +# create a new column for temps in Fahrenheit +climate_df %>% + select(dt, AverageTemperature) %>% + mutate(AverageTemperature_F = AverageTemperature * (9/5) + 32) +``` + +### Let's Practice + +Write some code that uses the `round()` function to create a new column of average temperatures (Celsius) rounded to one decimal place. + +```{r} +# Write your code here + +``` + +::: instructor-only +**Answer:** + +```{r} +climate_df %>% + mutate(AverageTemperatureRound = round(AverageTemperature, digits = 1)) +``` + +**Instructor Note:** Students may try `round(AverageTemperature, 1)` without the `digits =` argument name, that also works. +::: + +If we set the "new" column name in the `mutate()` function as the same name of a column that already exists, the code will replace that column with the new values. \ No newline at end of file diff --git a/modules/module_1/module1_home.qmd b/modules/module_1/module1_home.qmd new file mode 100644 index 0000000..b3f06f6 --- /dev/null +++ b/modules/module_1/module1_home.qmd @@ -0,0 +1,46 @@ +--- +title: "Module 1: Mission Antarctica!" +format: + html: + toc: false +--- + +## Overview + +The team has arrived in Antarctica and needs to establish the technical foundation for all future data work. Students begin by learning how to use R and RStudio in Posit Cloud, including how to run code, create objects, work with vectors, understand data classes, subset data, and use functions. They are also introduced to the tidyverse, where they begin learning how to select, filter, summarize, group, and mutate data. By the end of the module, students are comfortable navigating their coding environment and working with simple ecological datasets. + +## Learning Objectives + +By the end of this module, students will be able to: + +- describe the role of R and RStudio in a data science workflow +- use Posit Cloud to write, run, and organize code +- create objects and work with vectors in R +- distinguish among common data classes, including numeric, character, logical, factor, and data frame structures +- subset vectors and data frames using both index- and condition-based approaches +- use functions and interpret function arguments in R +- use core `tidyverse` tools such as `select()`, `filter()`, `mutate()`, `summarize()`, and `group_by()` to explore and organize data +- use the pipe operator (`%>%`) to chain `tidyverse` functions together + +## Lessons & Assignments + +### Lessons + +Each lesson page displays content in **student view** by default. Use the toggle button in the top right corner of the page to switch to **instructor view**, which reveals embedded answer keys and instructor notes. The QMD file, PDF, and any associated data can be downloaded from each lesson's page in either view. + +- [1.1: Introduction to R and RStudio](module1_1.qmd) +- [1.2: Intro to Coding in R](module1_2.qmd) +- [1.3: Introduction to the `tidyverse`](module1_3.qmd) + +### Assignments + +Assignment pages are publicly available in **student view only**. The QMD file, PDF, and any associated data can be downloaded from each assignment's page. Instructor versions with answer keys are only available to educators. To request access, visit the [Instructors page](../../instructors.qmd). + +- [Assignment 1: Getting to Know the Team](assignments/a1/m1a1.qmd) +- [Assignment 2: Getting to Know Your Antarctic Home](assignments/a2/m1a2.qmd) + +## GitHub + +To clone the entire course or download multiple files at once, visit the [course GitHub repository](). + +**Links are not yet live!** \ No newline at end of file diff --git a/modules/module_2/assignments/a1/fish_sick_data.csv b/modules/module_2/assignments/a1/fish_sick_data.csv new file mode 100644 index 0000000..d93eee6 --- /dev/null +++ b/modules/module_2/assignments/a1/fish_sick_data.csv @@ -0,0 +1,51 @@ +tank_id,species,avg_daily_temp,num_fish,day_length,tank_volume,num_sick +388,tilapia,24.2712251525129,93,10,399.454416952633,3 +425,tilapia,24.5901291496196,98,11,399.837578231131,4 +420,tilapia,22.9683745186346,103,9,399.450822325264,2 +819,trout,14.0645280057374,85,11,401.12288566145,14 +176,tilapia,23.3395955019226,98,10,400.01435930689104,3 +926,trout,13.8,79,12,399.744465726852,10 +454,tilapia,23.8262819090694,104,10,399.931091280505,0 +204,tilapia,24.0265009468057,99,10,398.989507931594,6 +851,trout,15.6562757634324,79,12,401.004259254191,17 +515,tilapia,23.7882354976847,100,10,399.285493280529,7 +996,trout,15.7363386790295,86,13,399.743891759719,19 +715,tilapia,24.0467271520252,102,11,401.483269666681,5 +186,tilapia,24.3520806905395,100,10,401.57020346624,0 +678,tilapia,23.8022179755021,102,10,400.028021879009,4 +776,trout,15.1999323316343,69,11,399.57344818817904,13 +766,trout,15.1193874663199,79,12,399.96593686649,13 +964,trout,14.9337938675402,74,11,400.275117611875,12 +892,trout,15.1120851149759,87,13,400.384046652314,19 +534,tilapia,23.3824000421765,98,8,399.449546543012,4 +793,trout,14.7111345797935,82,11,399.716356434193,16 +751,trout,14.8425305053541,75,11,400.47152711948,20 +615,tilapia,23.7564429417007,103,10,400.073308580614,3 +317,tilapia,22.8513009895559,98,11,402.061963482953,4 +945,trout,14.6949793202414,66,14,398.41248630442,12 +227,tilapia,23.1036228789566,109,12,400.144621396201,6 +944,trout,15.1888140247927,62,12,399.811970483946,15 +233,tilapia,23.19692025004,100,10,400.46690114412,5 +113,tilapia,23.1000706683298,97,11,400.112271784797,3 +844,trout,15.2626278642247,77,13,399.734275989956,16 +973,trout,15.7140122531928,94,12,400.335309428759,16 +920,trout,14.2742371991973,63,12,399.379537208081,13 +382,tilapia,23.9243452330349,103,9,400.643923847699,3 +383,tilapia,24.4351987337161,100,10,400.61596491984494,4 +224,tilapia,24.3774649537342,103,10,400.56261837841504,0 +980,trout,13.8893099705121,79,11,400.17733825934,14 +244,tilapia,22.9291364850189,102,10,398.455334024837,6 +816,trout,14.5447122042087,71,12,399.878260395494,15 +67,tilapia,23.9726290395022,96,10,401.478339163685,1 +747,tilapia,23.3578023258169,104,10,399.67896330779297,4 +783,trout,14.8000165720383,73,13,401.978303476148,12 +710,tilapia,24.3958023019485,100,9,399.811656719429,1 +547,tilapia,23.3351489672318,98,10,400.525239509459,5 +909,trout,14.3139021925586,76,13,400.683839750471,14 +191,tilapia,22.9314048985264,102,10,400.896187238974,4 +252,tilapia,23.5628550849159,103,10,399.500397785847,7 +593,tilapia,23.7452191546067,102,10,401.619244789286,5 +480,tilapia,24.2291034528968,100,9,399.533964981092,4 +536,tilapia,23.8516170432863,100,10,399.176063949458,0 +566,tilapia,23.8184119559402,101,10,399.6061883996,2 +696,tilapia,24.0485489329341,101,12,400.67973733967,0 diff --git a/modules/module_2/assignments/a1/m2a1.qmd b/modules/module_2/assignments/a1/m2a1.qmd new file mode 100644 index 0000000..55ba842 --- /dev/null +++ b/modules/module_2/assignments/a1/m2a1.qmd @@ -0,0 +1,139 @@ +--- +title: "Module 2, Assignment 1: Scatter Plots" +author: "your name here" +date: today +format: pdf +--- + +```{r} +#| include: false +knitr::opts_chunk$set(echo = TRUE) +``` + +# Assignment Details + +### Purpose + +The goal of this assignment is to assess your ability to produce and interpret scatter plots in both base R and `ggplot2`. + +### Task + +Write R code which produces the correct answers and text to correctly interpret the plots produced. + +### Criteria for Success + +- Code is within the provided code chunks +- Code chunks run without errors +- Code produces the correct result + - Code that produces the correct answer will receive full credit + - Code attempts with logical direction will receive partial credit Code used is based on what we have learned in this course +- Written answers address the questions in sufficient detail + +# Assignment Questions + +For this assignment, we are going to be making plots! We are going to use a data set containing data from a sample of our fish tanks. The data contains information about the tanks sampled and how many sick fish are contained in each tank. + +Questions are worth 1 point unless otherwise noted. + +First, let's prepare our data. + +1. Load the `tidyverse` package into the work space. + +```{r} + +``` + +2. Read in the data using the `read_csv()` function. Name the data frame `sick_fish`. + +```{r} + +``` + +3. How many rows does the `sick_fish` data frame have? How many columns? + + *Answer*: + +4. Use a function (`head()`, `str()`, or another function you prefer) to take a look at the data points in the data frame. + +```{r} + +``` + +5. What does one row (observation) represent (e.g., an individual fish?, all fish of a certain species? all tanks of a certain species? etc.)? + + *Answer*: + +6. Based on the column names, briefly describe what data is included in the data frame. + + *Answer:* + +7. Take a look at the columns that have the total number of fish in the tank and the number of sick fish per tank. Determine whether these two columns are numeric or categorical. + + *Answer*: + +### Plotting with base R + +8. Using *base R* (the code we learned in lesson 2.1), create a histogram of the number of sick fish in each tank. + +```{r} + +``` + +9. In 2-3 sentences, describe what the histogram tells you about the distribution of the number of sick fish. (2 points) + + *Answer*: + +10. Using *base R* (the code we learned in lesson 2.1), create a scatter plot. Put the total number of fish on the x-axis and the number of sick fish on the y-axis. + +```{r} + +``` + +11. Interpret the scatter plot. What is the plot telling you? Is there a positive or negative relationship between the two variables. What does that mean? (2 points) + +``` +*Answer*: +``` + +### Using `ggplot2` + +Now, let's use what we've learned about `ggplot2` to recreate the same scatter plot. We will do this in 2 steps. + +- In the first step, we will add the data, axes, and geom. +- In the second step, we will modify the plot to increase interpretability by renaming axes and adding a theme. + +12. Create the scatter plot using the proper `geom` function. + +```{r} + +``` + +13. Now, recreate the plot from Question 12 and add better axes labels and choose a theme to make it clearer to understand. + +```{r} + +``` + +14. For *each* fish species, calculate the average and the standard deviation for the number of sick fish. + + *Hint: think back to Module 1 and which function we can use to "split, apply, combine"* + +```{r} + +``` + +15. Based on the summary data you've calculated above, do you think the two clumps of data correspond to the two species? Which species seems to be the one that is causing the most problems? (2 points) + + *Answer*: + +16. Do some brainstorming. Based on the plots we've made and the calculations we've done so far, are we *sure* that the two clumps of data we see in the data visualization do, in fact, correlate to the two different species? How could we confirm? How might we include that information in the plot? (2 points) + + *Answer*: + +# Turning in Your Assignment + +1. Make sure your name is filled in at the top of the document. +2. Click the **Render** button at the top of this document. This will produce a PDF that opens in a new tab and also saves to the Files panel on the bottom-right of your screen. +3. To download the PDF from Posit Cloud, click the empty box to the left of the PDF file in the Files panel. +4. Click the blue gear at the top of the Files panel and choose Export. +5. Put your last name at the front of the file name when prompted, then click Download. The PDF is now in your Downloads folder. \ No newline at end of file diff --git a/modules/module_2/assignments/a2/m2a2.qmd b/modules/module_2/assignments/a2/m2a2.qmd new file mode 100644 index 0000000..c1fe57c --- /dev/null +++ b/modules/module_2/assignments/a2/m2a2.qmd @@ -0,0 +1,189 @@ +--- +title: "Module 2, Assignment 2: From Data to Plot" +author: "your name here" +date: today +format: pdf +--- + +```{r} +#| include: false +knitr::opts_chunk$set(echo = TRUE) +``` + +# Assignment Details + +### Purpose + +The goal of this assignment is to practice developing successful workflows to get from the starting data to a plot. + +### Task + +Write R code which produces the correct answers and reflect on workflow. + +### Criteria for Success + +- Code is within the provided code chunks +- Code is commented with brief descriptions of what the code does +- Code chunks run without errors +- Code produces the correct result + - Code that produces the correct answer will receive full credit + - Code attempts with logical direction will receive partial credit +- Written answers address the questions in sufficient detail + +# Assignment Questions + +Our goal for this assignment is to start with a data frame of data, summarize the data in constructive ways, and plot the data to answer some questions. To get from Point A to Point D requires some planning. + +In this assignment, we will first make a plan, execute how we would actually go about the process, and then evaluate how well our original plan matches with the path we actually used. + +## Data Summary + +The aquaculture scientists on Team Antarctica have been working on developing a new diet for tilapia (a type of fish) based on soy-protein, and they are interested in whether incorporating this into fish diets will result in faster growth rates. + +They are measuring the amount of growth based on the change in the weight of each fish after 30 days on the new diet. + +They've provided us with the data below to analyze. + +First, let's take a look at the data we will be using for the assignment. + +1. As always, we start by loading the `tidyverse`. (1 point) + +```{r} + +``` + +2. Next, we need to load in our tilapia growth dataset. Call the data frame `growth`. Then use both the `head` and `tail` functions to take a look at the data. (1 point) + +```{r} + +``` + +3. Before we can plan any strategy, we need to understand the data that we have. Answer the following questions about the data. (0.5 points each, 2 points total) + + a\. What does one row represent? (One tank? One temperature? One treatment? One fish?) + + b\. How many tanks of fish were sampled? + + c\. How many fish were sampled? + + d\. How many different soy protein levels (treatments) are there? + +## Our Tasks + +We have been asked by our aquaculture specialists to provide them with the following: + +a. a data frame with the average growth of fish per diet treatment (`perc_soy_protein`); growth is being measured by the change in weight of each fish after 30 days on the diet (`day_30_weight`). +b. a plot that shows the relationship (or lack thereof) between the amount of soy protein in the diet and how much the fish have grown +c. a data frame with the average growth for each combination of diet treatment *and* tank category (warm or cold) +d. a plot that shows the relationship (or lack thereof) between average tank temperature, the amount of growth, and the amount of soy in the diet. + +They've also asked that we provide all weights in kilograms instead of grams (the `day_30_weight` is currently in grams). + +## Prediction + +4. Spend some time thinking about each one of these steps. What steps will you need to take to produce the end result? What data frame will you use? What columns will you use? What functions will you use? How will you plot things? + + For each of the 4 tasks listed above in "Our Tasks," *describe* (do NOT code) how you will get from the starting point (a data frame) to the result (another data frame or a plot). + + This question will be grade ***only on completion***, not on whether or not your plan is *correct*. (2 points) + + *Task (a)*: + + *Task (b)*: + + *Task (c)*: + + *Task (d)*: + +## Execution + +Now let's actually go ahead and complete our tasks with code. + +**NOTE! We need to run the line of code below. This line of code tells R to treat the soy protein column as a category rather than a number, and to display the levels in order from lowest to highest.** + +```{r} +growth <- growth %>% + mutate(perc_soy_protein = factor(perc_soy_protein, levels = c(0.2, 0.4, 0.6, 0.8))) +``` + +Because the aquaculture team has asked for everything to use kilograms instead of grams, it makes sense for us to add a column with the fish weights in kilograms (kg) instead of grams (g) to our data frame before we tackle any of the specific tasks. + +5. Use the `mutate()` function to add a `day_30_weight_kg` column to the growth data frame with the weights in kilograms. (Hint: there are 1000 grams in 1 kilogram) + + Save the output as `growth_kg` (2 points) + + **NOTE: This is the data frame you will use for the remainder of the assignment.** + +```{r} + +``` + +### Task (a) + +**A data frame with the average growth of fish per diet treatment** + +6. Create a new data frame called `growth_by_treatment` with the average growth for each level of soy protein. Remember to use the `growth_kg` data frame as your starting point. (2 points) + +```{r} + +``` + +### Task (b) + +**A box plot that shows the relationship (or lack thereof) between the amount of soy protein in the diet and the weight at 30 days (growth)** + +Based on the values we calculated in task (a), it looks like there is probably a positive relationship between the percent of soy protein in tilapia diet and growth. Let's plot the data to confirm. + +7. Make a box plot to show this relationship. Change the axis labels to be more easily understood and add a theme. (2 point) + + (Hint: because we want to plot *all* of the values, not just the mean values, we need to use the original `growth_kg` data frame, not the data frame we created in task (a)) + +```{r} + +``` + +### Task (c) + +**A data frame with the average growth for each combination of diet treatment *and* tank category** + +8. Create a new data frame called `growth_by_temp_treatment`. It should have groups for each combination of the amount of soy protein and whether tanks are warm or cold. Remember, you can create groups with multiple columns! Calculate the average growth for each combination. (2 points) + +```{r} + +``` + +### Task (d) + +**A scatter plot that shows the relationship (or lack thereof) between average tank temperature and the weight at 30 days** + +Based on our results above, do we think the tank being warm or cold has much of an influence? Let's plot our data to confirm. + +9. Make a multiple scatter plot with the average water temperature in the tank on the x-axis (the actual number, not whether the tank is "cold" or "warm") and the amount of growth on the y-axis (vertical). Change the color of each point so that they represent the amount of soy protein in the diet. Change the axis labels to be more easily understood and add a theme. (2 point) + + (Hint: because we want to plot *all* of the values, not just the mean values, we need to use the original `growth_kg` data frame) + +```{r} + +``` + +As suspected, there doesn't seem to be much of a difference based on tank temperatures. + +## Reflection + +10. Imagine we had decided to treat `perc_soy_protein` as a continuous variable. What type of plot would we have used for task (b)? Would we have been able to complete task (d)? Why or why not? (2 points) + + *Answer*: + +11. Write 3-5 sentences about if and how your predictions and execution differed and what you learned through the process. (3 points) + + *Examples of questions to answer: How did your initial prediction of how you expected to accomplish the 4 tasks match up with how we actually went about doing it? Were they similar? Were there common mistakes that you made beforehand? Did you plan a different execution from what we did above that you think would also work?* + + *Answer*: + +# Turning in Your Assignment + +1. Make sure your name is filled in at the top of the document. +2. Click the **Render** button at the top of this document. This will produce a PDF that opens in a new tab and also saves to the Files panel on the bottom-right of your screen. +3. To download the PDF from Posit Cloud, click the empty box to the left of the PDF file in the Files panel. +4. Click the blue gear at the top of the Files panel and choose Export. +5. Put your last name at the front of the file name when prompted, then click Download. The PDF is now in your Downloads folder. \ No newline at end of file diff --git a/modules/module_2/assignments/a2/tilapia_growth.csv b/modules/module_2/assignments/a2/tilapia_growth.csv new file mode 100644 index 0000000..7b37fe0 --- /dev/null +++ b/modules/module_2/assignments/a2/tilapia_growth.csv @@ -0,0 +1,321 @@ +tank_id,fish_id,perc_soy_protein,day_30_weight,avg_tank_temp,tank_category +1,1,0.2,333.6106175690433,77.2,warm +1,2,0.2,197.6585923211649,77.2,warm +1,3,0.2,315.1644914861746,77.2,warm +1,4,0.2,316.45631741175214,77.2,warm +1,5,0.2,89.43900926659401,77.2,warm +1,6,0.2,74.74951079185695,77.2,warm +1,7,0.2,141.90766008256654,77.2,warm +1,8,0.2,20.776089750079095,77.2,warm +1,9,0.2,57.29804042480697,77.2,warm +1,10,0.2,158.51860875934585,77.2,warm +1,11,0.2,407.1603973959428,77.2,warm +1,12,0.2,228.84233033977597,77.2,warm +1,13,0.2,53.87345935081504,77.2,warm +1,14,0.2,149.76637073725774,77.2,warm +1,15,0.2,243.6900693979908,77.2,warm +1,16,0.2,180.4203386391337,77.2,warm 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a/modules/module_2/assignments/a3/fur_seals.csv b/modules/module_2/assignments/a3/fur_seals.csv new file mode 100644 index 0000000..4b2050f --- /dev/null +++ b/modules/module_2/assignments/a3/fur_seals.csv @@ -0,0 +1,3602 @@ +Date,Location,Sex,Weight_kg,Moult_score,Year,Month +2020-03-08,Tussock,F,11.8,3,2020,Mar +2020-03-08,Tussock,F,13.8,3,2020,Mar +2020-03-08,Tussock,M,12.8,3,2020,Mar +2020-03-08,Tussock,M,13.8,3,2020,Mar +2020-03-08,Tussock,M,14.2,3,2020,Mar +2020-03-08,Tussock,F,14.5,3,2020,Mar +2020-03-08,Tussock,F,11.4,3,2020,Mar +2020-03-08,Tussock,M,13.4,3,2020,Mar +2020-03-08,Tussock,M,14,3,2020,Mar +2020-03-08,Tussock,M,13.8,3,2020,Mar +2020-03-08,Tussock,F,12.8,3,2020,Mar +2020-03-08,Tussock,M,15,3,2020,Mar +2020-03-08,Tussock,M,16,3,2020,Mar +2020-03-08,Tussock,M,14.6,3,2020,Mar +2020-03-08,Tussock,M,16,3,2020,Mar +2020-03-08,Tussock,F,10,3,2020,Mar +2020-03-08,Tussock,M,14.8,3,2020,Mar +2020-03-08,Tussock,M,14.2,3,2020,Mar +2020-03-08,Tussock,F,12.3,3,2020,Mar 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+Gentoo penguin,1982,Johnson,NA,-13.1 +Gentoo penguin,1982,Mountain Cwm,NA,-13.1 +Gentoo penguin,1982,Natural Arch,NA,-13.1 +Gentoo penguin,1982,Square Pond,NA,-13.1 +Gentoo penguin,1983,Johnson,1880,-15.7 +Gentoo penguin,1983,Mountain Cwm,767,-15.7 +Gentoo penguin,1983,Natural Arch,829,-15.7 +Gentoo penguin,1983,Square Pond,282,-15.7 +Gentoo penguin,1984,Johnson,636,-12.8 +Gentoo penguin,1984,Mountain Cwm,NA,-12.8 +Gentoo penguin,1984,Natural Arch,NA,-12.8 +Gentoo penguin,1984,Square Pond,227,-12.8 +Gentoo penguin,1985,Johnson,636,-15.7 +Gentoo penguin,1985,Mountain Cwm,622,-15.7 +Gentoo penguin,1985,Natural Arch,925,-15.7 +Gentoo penguin,1985,Square Pond,235,-15.7 +Gentoo penguin,1986,Johnson,875,-14.3 +Gentoo penguin,1986,Mountain Cwm,871,-14.3 +Gentoo penguin,1986,Natural Arch,1109,-14.3 +Gentoo penguin,1986,Square Pond,NA,-14.3 +Gentoo penguin,1987,Johnson,962,-14 +Gentoo penguin,1987,Mountain Cwm,714,-14 +Gentoo penguin,1987,Natural Arch,1069,-14 +Gentoo penguin,1987,Square Pond,311,-14 +Gentoo penguin,1988,Johnson,963,NA +Gentoo penguin,1988,Mountain Cwm,654,NA +Gentoo penguin,1988,Natural Arch,864,NA +Gentoo penguin,1988,Square Pond,343,NA +Gentoo penguin,1989,Johnson,1164,NA +Gentoo penguin,1989,Mountain Cwm,1227,NA +Gentoo penguin,1989,Natural Arch,2032,NA +Gentoo penguin,1989,Square Pond,637,NA +Gentoo penguin,1990,Johnson,957,NA +Gentoo penguin,1990,Mountain Cwm,907,NA +Gentoo penguin,1990,Natural Arch,1249,NA +Gentoo penguin,1990,Square Pond,427,NA +Gentoo penguin,1991,Johnson,43,-11 +Gentoo penguin,1991,Mountain Cwm,0,-11 +Gentoo penguin,1991,Natural Arch,NA,-11 +Gentoo penguin,1991,Square Pond,1,-11 +Gentoo penguin,1992,Johnson,1108,NA +Gentoo penguin,1992,Mountain Cwm,1024,NA +Gentoo penguin,1992,Natural Arch,1815,NA +Gentoo penguin,1992,Square Pond,603,NA +Gentoo penguin,1993,Johnson,1530,NA +Gentoo penguin,1993,Mountain Cwm,1185,NA +Gentoo penguin,1993,Natural Arch,2067,NA +Gentoo penguin,1993,Square Pond,654,NA +Gentoo penguin,1994,Johnson,60,-11.8 +Gentoo penguin,1994,Mountain Cwm,46,-11.8 +Gentoo penguin,1994,Natural Arch,116,-11.8 +Gentoo penguin,1994,Square Pond,0,-11.8 +Gentoo penguin,1995,Johnson,538,-13.9 +Gentoo penguin,1995,Mountain Cwm,593,-13.9 +Gentoo penguin,1995,Natural Arch,1010,-13.9 +Gentoo penguin,1995,Square Pond,368,-13.9 +Gentoo penguin,1996,Johnson,965,NA +Gentoo penguin,1996,Mountain Cwm,867,NA +Gentoo penguin,1996,Natural Arch,1375,NA +Gentoo penguin,1996,Square Pond,587,NA +Gentoo penguin,1997,Johnson,754,-10.5 +Gentoo penguin,1997,Mountain Cwm,768,-10.5 +Gentoo penguin,1997,Natural Arch,944,-10.5 +Gentoo penguin,1997,Square Pond,347,-10.5 +Gentoo penguin,1998,Johnson,0,-14.5 +Gentoo penguin,1998,Mountain Cwm,0,-14.5 +Gentoo penguin,1998,Natural Arch,1,-14.5 +Gentoo penguin,1998,Square Pond,2,-14.5 +Gentoo penguin,1999,Johnson,1188,-14.3 +Gentoo penguin,1999,Mountain Cwm,1038,-14.3 +Gentoo penguin,1999,Natural Arch,1246,-14.3 +Gentoo penguin,1999,Square Pond,392,-14.3 +Gentoo 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+aus1987ana87com,1987-03-19,1987,3,day,0.357,0.13257984765973704 +aus1987ana88a,1987-03-20,1987,3,day,0.163,0.06557971472844842 +aus1987ana88b,1987-03-20,1987,3,day,NA,NA +aus1987ana88com,1987-03-20,1987,3,day,0.163,0.06557971472844842 +aus1987ana89,1987-03-20,1987,3,day,0,0 +aus1987ana90,1987-03-20,1987,3,night,33.777,1.5412921153423693 +aus1987ana91,1987-03-21,1987,3,day,1.013,0.3038437748886545 +aus1987ana92,1987-03-21,1987,3,night,0.607,0.20601587676334454 +aus1987ana93,1987-03-22,1987,3,night,0.183,0.07298474462793038 +aus1987ana94,1987-03-23,1987,3,day,0,0 +aus1987ana95a,1987-03-23,1987,3,day,0,0 +aus1987ana95b,1987-03-23,1987,3,day,NA,NA +aus1987ana96,1987-03-23,1987,3,night,8.331,0.969928189428116 +aus1992fis11,1992-01-26,1992,1,day,0,0 +aus1992fis16,1992-01-27,1992,1,day,0,0 +aus1992fis18,1992-01-28,1992,1,day,0,0 +aus1992fis22,1992-01-29,1992,1,day,0,0 +aus1992fis27,1992-01-30,1992,1,day,0,0 +aus1992fis28,1992-01-30,1992,1,day,0,0 +aus1992fis32,1992-01-31,1992,1,day,0,0 +aus1992fis32e,1992-01-31,1992,1,day,NA,NA +aus1992fis33,1992-01-31,1992,1,day,0,0 +aus1992fis33e,1992-01-31,1992,1,day,NA,NA +aus1992fis36,1992-02-01,1992,2,day,0,0 +aus1992fis36e,1992-02-01,1992,2,day,NA,NA +aus1992fis37,1992-02-01,1992,2,day,0,0 +aus1992fis37e,1992-02-01,1992,2,day,NA,NA +aus1992fis38,1992-02-02,1992,2,day,0,0 +aus1992fis39,1992-02-02,1992,2,day,0,0 +aus1992fis39e,1992-02-02,1992,2,night,NA,NA +aus1992fis43,1992-02-05,1992,2,day,0,0 +aus1992fis45,1992-02-05,1992,2,day,0,0 +aus1992fis45e,1992-02-05,1992,2,night,NA,NA +aus1992fis47,1992-02-06,1992,2,day,0,0 +aus1992fis47e,1992-02-06,1992,2,day,NA,NA +aus1992fis51,1992-02-08,1992,2,day,0,0 +aus1992fis51e,1992-02-08,1992,2,night,NA,NA +aus1992fis52,1992-02-08,1992,2,day,0,0 +aus1992fis56,1992-02-09,1992,2,day,0,0 +aus1992fis56e,1992-02-09,1992,2,day,NA,NA +aus1992fis58,1992-02-10,1992,2,day,0,0 +aus1992fis61,1992-02-10,1992,2,day,0,0 +aus1992fis61e,1992-02-10,1992,2,night,NA,NA +aus1992fis67,1992-02-11,1992,2,day,0,0 +aus1992fis9,1992-01-25,1992,1,day,0,0 +aus1999mer1,1999-08-04,1999,8,night,NA,NA +aus1999mer10,1999-08-11,1999,8,night,NA,NA +aus1999mer11,1999-08-11,1999,8,day,NA,NA +aus1999mer12,1999-08-18,1999,8,night,NA,NA +aus1999mer13,1999-08-18,1999,8,night,NA,NA +aus1999mer14,1999-08-18,1999,8,night,NA,NA +aus1999mer15,1999-08-20,1999,8,day,NA,NA +aus1999mer16,1999-08-20,1999,8,night,NA,NA +aus1999mer17,1999-08-20,1999,8,day,NA,NA +aus1999mer18,1999-08-30,1999,8,night,NA,NA +aus1999mer2,1999-08-04,1999,8,night,NA,NA +aus1999mer6,1999-08-07,1999,8,night,NA,NA +aus1999mer7,1999-08-07,1999,8,night,NA,NA +aus1999mer8,1999-08-08,1999,8,night,NA,NA +aus1999mer9,1999-08-07,1999,8,night,NA,NA +aus2001kac1,2001-01-14,2001,1,day,0.069,0.028977705208777998 +aus2001kac10,2001-01-16,2001,1,day,0.143,0.05804623039528174 +aus2001kac11,2001-01-16,2001,1,day,4.41,0.7331972651065695 +aus2001kac12,2001-01-16,2001,1,day,8.369,0.971693238949861 +aus2001kac13,2001-01-17,2001,1,day,14.615,1.1935419885662175 +aus2001kac14,2001-01-17,2001,1,day,1.841,0.45347123372293585 +aus2001kac15,2001-01-17,2001,1,day,2.674,0.5651391519697895 +aus2001kac16,2001-01-17,2001,1,day,10.1,1.0453229787866574 +aus2001kac17,2001-01-17,2001,1,day,0.059,0.024895960107484977 +aus2001kac18,2001-01-18,2001,1,day,0.046,0.01953168453125545 +aus2001kac19,2001-01-18,2001,1,day,1.182,0.33885474625232304 +aus2001kac2,2001-01-14,2001,1,night,0,0 +aus2001kac20,2001-01-18,2001,1,day,7.183,0.9129125511760969 +aus2001kac21,2001-01-18,2001,1,day,1.171,0.3366598234544201 +aus2001kac22,2001-01-18,2001,1,day,0.073,0.030599721965951062 +aus2001kac23,2001-01-18,2001,1,night,0.112,0.0461047872460387 +aus2001kac26,2001-01-19,2001,1,day,0,0 +aus2001kac27,2001-01-19,2001,1,day,0,0 +aus2001kac28,2001-01-19,2001,1,day,0.334,0.12515582958053018 +aus2001kac29,2001-01-19,2001,1,day,0,0 +aus2001kac3,2001-01-14,2001,1,day,7.656,0.9373172477624941 +aus2001kac30,2001-01-20,2001,1,day,0,0 +aus2001kac31,2001-01-20,2001,1,day,0,0 +aus2001kac32,2001-01-20,2001,1,day,6.689,0.8858698609039064 +aus2001kac34a,2001-01-21,2001,1,day,0.064,0.0269416279590294 +aus2001kac34b,2001-01-21,2001,1,day,0.096,0.039810554148350386 +aus2001kac34com,2001-01-21,2001,1,day,0.168,0.06744284277638066 +aus2001kac35,2001-01-21,2001,1,day,0.307,0.11627558758054428 +aus2001kac36,2001-01-21,2001,1,day,0.043,0.018284308426530838 +aus2001kac37,2001-01-21,2001,1,day,0.133,0.05422990986339725 +aus2001kac38,2001-01-21,2001,1,day,0.25,0.09691001300805642 +aus2001kac39,2001-01-21,2001,1,day,1.225,0.3473300153169504 +aus2001kac4,2001-01-15,2001,1,day,4.55,0.7442929831226762 +aus2001kac40,2001-01-21,2001,1,day,1.862,0.45666962942375755 +aus2001kac5,2001-01-15,2001,1,day,4.994,0.777716738609626 +aus2001kac6,2001-01-15,2001,1,day,1.275,0.3569814009931312 +aus2001kac7,2001-01-15,2001,1,day,2.288,0.5169318088680128 +aus2001kac8,2001-01-15,2001,1,day,1.41,0.3820170425748684 +aus2001kac9,2001-01-16,2001,1,day,0.253,0.09795107099415004 +aus2006bro10,2006-01-21,2006,1,day,0,0 +aus2006bro101,2006-02-19,2006,2,night,0.22,0.08635983067474821 +aus2006bro102,2006-02-20,2006,2,day,0.04,0.01703333929878037 +aus2006bro104,2006-02-20,2006,2,day,251.984,2.403093055043637 +aus2006bro105,2006-02-20,2006,2,day,0.043,0.018284308426530838 +aus2006bro11,2006-01-22,2006,1,day,2.45,0.5378190950732742 +aus2006bro110,2006-02-23,2006,2,day,0.031,0.01325866528351651 +aus2006bro112,2006-02-25,2006,2,day,0,0 +aus2006bro114,2006-02-26,2006,2,day,0.207,0.08170727009734924 +aus2006bro115,2006-02-26,2006,2,day,0,0 +aus2006bro116,2006-02-26,2006,2,night,1.473,0.3932241163612973 +aus2006bro117,2006-02-26,2006,2,night,3.052,0.6076694366882428 +aus2006bro119,2006-02-27,2006,2,day,182.634,2.2639530943234485 +aus2006bro120,2006-02-27,2006,2,day,0.811,0.25791845031405836 +aus2006bro122,2006-02-27,2006,2,day,2.338,0.523486332343228 +aus2006bro17,2006-01-23,2006,1,day,23.12,1.3823773034681137 +aus2006bro18,2006-01-23,2006,1,day,2.132,0.49582175338590584 +aus2006bro19,2006-01-23,2006,1,day,0.263,0.10140335055533072 +aus2006bro20,2006-01-23,2006,1,day,0.122,0.04999285692014256 +aus2006bro31,2006-01-27,2006,1,day,0,0 +aus2006bro34,2006-01-27,2006,1,night,0.733,0.238798562713917 +aus2006bro37,2006-01-28,2006,1,day,3.625,0.6651117370750514 +aus2006bro38,2006-01-29,2006,1,day,2.287,0.5167997040816243 +aus2006bro39,2006-01-29,2006,1,night,0.151,0.06107532362979181 +aus2006bro4,2006-01-19,2006,1,day,0,0 +aus2006bro42,2006-01-30,2006,1,day,4.089,0.7066324508732947 +aus2006bro43,2006-01-30,2006,1,day,0.187,0.07445071895459124 +aus2006bro44,2006-01-30,2006,1,night,0.014,0.006037954997317177 +aus2006bro5,2006-01-20,2006,1,day,0.092,0.038222638368718455 +aus2006bro50,2006-02-02,2006,2,night,1.387,0.37785241900675454 +aus2006bro51,2006-02-03,2006,2,day,0.044,0.01870049866624337 +aus2006bro52,2006-02-04,2006,2,day,0.18,0.07188200730612536 +aus2006bro53,2006-02-04,2006,2,night,0.11,0.04532297878665747 +aus2006bro54,2006-02-05,2006,2,day,0,0 +aus2006bro55,2006-02-05,2006,2,day,0.166,0.06669855042299526 +aus2006bro59,2006-02-05,2006,2,day,0,0 +aus2006bro61,2006-02-08,2006,2,day,0,0 +aus2006bro66,2006-02-08,2006,2,night,0.436,0.15715443990628153 +aus2006bro69,2006-02-09,2006,2,day,0.774,0.2489536154957076 +aus2006bro72,2006-02-10,2006,2,day,1.638,0.4212747912103465 +aus2006bro77,2006-02-10,2006,2,day,0.435,0.15685190107001115 +aus2006bro79,2006-02-10,2006,2,night,0.6,0.20411998265592482 +aus2006bro80,2006-02-11,2006,2,day,0.013,0.005609445360280386 +aus2006bro81,2006-02-11,2006,2,day,0.008,0.0034605321095064895 +aus2006bro87,2006-02-17,2006,2,day,0,0 +aus2006bro93,2006-02-17,2006,2,night,0.201,0.07954300740290607 +aus2006bro97,2006-02-18,2006,2,day,0.014,0.006037954997317177 +aus2006bro98,2006-02-19,2006,2,day,0.026,0.011147360775797477 +bas1982sgz108aa,1981-11-29,1981,11,day,0,0 +bas1982sgz108ab,1981-11-29,1981,11,day,0,0 +bas1982sgz108ba,1981-11-29,1981,11,day,NA,NA +bas1982sgz108bb,1981-11-29,1981,11,day,NA,NA +bas1982sgz118a,1981-11-30,1981,11,day,0.021,0.009025742086910206 +bas1982sgz118b,1981-11-30,1981,11,day,0,0 +bas1982sgz127a,1981-11-30,1981,11,day,0.258,0.09968064110925012 +bas1982sgz127b,1981-11-30,1981,11,day,1.358,0.37254380075907034 +bas1982sgz132a,1981-11-30,1981,11,night,0.037,0.01577875638904093 +bas1982sgz132b,1981-11-30,1981,11,night,0.268,0.10311925354571388 +bas1982sgz136,1981-12-01,1981,12,night,0.118,0.04844180355040444 +bas1982sgz141a,1981-12-01,1981,12,day,2.957,0.5973660502660276 +bas1982sgz141b,1981-12-01,1981,12,day,0,0 +bas1982sgz147aa,1981-12-01,1981,12,day,163.876,2.2171574426297203 +bas1982sgz147ab,1981-12-01,1981,12,day,56.603,1.7604451023384486 +bas1982sgz147ba,1981-12-01,1981,12,day,NA,NA +bas1982sgz147bb,1981-12-01,1981,12,day,NA,NA +bas1982sgz157aa,1981-12-02,1981,12,day,0.464,0.16554107672237303 +bas1982sgz157ab,1981-12-02,1981,12,day,0,0 +bas1982sgz157ba,1981-12-02,1981,12,day,NA,NA +bas1982sgz157bb,1981-12-02,1981,12,day,NA,NA +bas1982sgz159a,1981-12-02,1981,12,day,0.227,0.08884456272700426 +bas1982sgz159b,1981-12-02,1981,12,day,0.551,0.19061179781360496 +bas1982sgz164a,1981-12-03,1981,12,night,5.6,0.8195439355418687 +bas1982sgz164b,1981-12-03,1981,12,night,5.648,0.8226910107760546 +bas1982sgz169a,1981-12-03,1981,12,day,1.14,0.33041377334919075 +bas1982sgz169b,1981-12-03,1981,12,day,0.269,0.10346162209470482 +bas1982sgz174a,1981-12-03,1981,12,day,0,0 +bas1982sgz174b,1981-12-03,1981,12,day,0,0 +bas1982sgz179a,1981-12-03,1981,12,day,0.126,0.05153839051532738 +bas1982sgz179b,1981-12-03,1981,12,day,0,0 +bas1982sgz184aa,1981-12-04,1981,12,day,45.179,1.6644445240947097 +bas1982sgz184ab,1981-12-04,1981,12,day,3.687,0.6708949535202101 +bas1982sgz184ba,1981-12-04,1981,12,day,NA,NA +bas1982sgz184bb,1981-12-04,1981,12,day,NA,NA +bas1982sgz195aa,1981-12-05,1981,12,day,1.421,0.38399478944173293 +bas1982sgz195ab,1981-12-05,1981,12,day,1.762,0.4412236742426125 +bas1982sgz195ba,1981-12-05,1981,12,day,NA,NA +bas1982sgz195bb,1981-12-05,1981,12,day,NA,NA +bas1982sgz197a,1981-12-05,1981,12,day,0.021,0.009025742086910206 +bas1982sgz197b,1981-12-05,1981,12,day,0,0 +bas1982sgz203a,1981-12-06,1981,12,night,0.553,0.19117145572855848 +bas1982sgz203b,1981-12-06,1981,12,night,0,0 +bas1982sgz207a,1981-12-06,1981,12,day,4.868,0.7684901051712452 +bas1982sgz207b,1981-12-06,1981,12,day,7.587,0.9338414628987213 +bas1982sgz210a,1981-12-06,1981,12,day,166.184,2.2231947118338233 +bas1982sgz210b,1981-12-06,1981,12,day,42.067,1.634144620338793 +bas1982sgz215a,1981-12-06,1981,12,day,0,0 +bas1982sgz215b,1981-12-06,1981,12,day,0.943,0.28847280059978253 +bas1982sgz219a,1981-12-07,1981,12,night,2.053,0.4847268042986618 +bas1982sgz219b,1981-12-07,1981,12,night,3.728,0.6746774678731989 +bas1982sgz225aa,1981-12-07,1981,12,day,0.335,0.125481265700594 +bas1982sgz225ab,1981-12-07,1981,12,day,1.293,0.36040405472993886 +bas1982sgz225ba,1981-12-07,1981,12,day,NA,NA +bas1982sgz225bb,1981-12-07,1981,12,day,NA,NA 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+bas1982sgz252b,1981-12-10,1981,12,day,0,0 +bas1982sgz256a,1981-12-10,1981,12,day,0.426,0.15411952551584673 +bas1982sgz256b,1981-12-10,1981,12,day,0,0 +bas1982sgz262aa,1981-12-10,1981,12,day,3.193,0.6225248624035682 +bas1982sgz262ab,1981-12-10,1981,12,day,0,0 +bas1982sgz262ba,1981-12-10,1981,12,day,NA,NA +bas1982sgz262bb,1981-12-10,1981,12,day,NA,NA +bas1982sgz262ca,1981-12-10,1981,12,night,NA,NA +bas1982sgz262cb,1981-12-10,1981,12,night,NA,NA +bas1982sgz272aa,1981-12-11,1981,12,day,67.009,1.832566389054755 +bas1982sgz272ab,1981-12-11,1981,12,day,0,0 +bas1982sgz272ba,1981-12-11,1981,12,day,NA,NA +bas1982sgz272bb,1981-12-11,1981,12,day,NA,NA +bas1982sgz272ca,1981-12-11,1981,12,day,NA,NA +bas1982sgz272cb,1981-12-11,1981,12,day,NA,NA +bas1982sgz272da,1981-12-11,1981,12,day,NA,NA +bas1982sgz272db,1981-12-11,1981,12,day,NA,NA +bas1982sgz275a,1981-12-12,1981,12,day,0.25,0.09691001300805642 +bas1982sgz275b,1981-12-12,1981,12,day,0.987,0.29819786710981516 +bas1982sgz282a,1981-12-12,1981,12,night,2.719,0.5704261783589726 +bas1982sgz282b,1981-12-12,1981,12,night,0.969,0.2942457161381182 +bas1982sgz287a,1981-12-12,1981,12,day,100.572,2.006774003996861 +bas1982sgz287b,1981-12-12,1981,12,day,399.015,2.6020762770656782 +bas1982sgz293a,1981-12-12,1981,12,day,0.154,0.06220580881971259 +bas1982sgz293b,1981-12-12,1981,12,day,15.455,1.2162978866303924 +bas1982sgz300a,1981-12-13,1981,12,night,5.085,0.7842605825660838 +bas1982sgz300b,1981-12-13,1981,12,night,0.582,0.1992064791616577 +bas1982sgz305aa,1981-12-13,1981,12,day,0.221,0.0867156639448825 +bas1982sgz305ab,1981-12-13,1981,12,day,0,0 +bas1982sgz305ba,1981-12-13,1981,12,day,NA,NA +bas1982sgz305bb,1981-12-13,1981,12,day,NA,NA +bas1982sgz305ca,1981-12-13,1981,12,day,NA,NA +bas1982sgz305cb,1981-12-13,1981,12,day,NA,NA +bas1982sgz314aa,1981-12-14,1981,12,day,0,0 +bas1982sgz314ab,1981-12-14,1981,12,day,0,0 +bas1982sgz314ba,1981-12-13,1981,12,day,0,0 +bas1982sgz314bb,1981-12-13,1981,12,day,0,0 +bas1982sgz314ca,1981-12-13,1981,12,day,NA,NA +bas1982sgz314cb,1981-12-13,1981,12,day,NA,NA +bas1982sgz314da,1981-12-13,1981,12,night,NA,NA +bas1982sgz314db,1981-12-13,1981,12,night,NA,NA +bas1982sgz316a,1981-12-14,1981,12,day,0,0 +bas1982sgz316b,1981-12-14,1981,12,day,0,0 +bas1982sgz324,1981-12-14,1981,12,night,0.131,0.05346260492545529 +bas1982sgz329a,1981-12-15,1981,12,day,0.073,0.030599721965951062 +bas1982sgz329b,1981-12-15,1981,12,day,1.196,0.34163233577805424 +bas1982sgz335a,1981-12-15,1981,12,day,53.852,1.7391924673369554 +bas1982sgz335b,1981-12-15,1981,12,day,2250.873,3.352543893748365 +bas1982sgz340a,1981-12-16,1981,12,night,10.989,1.0787829601969634 +bas1982sgz340b,1981-12-16,1981,12,night,348.81,2.54383222047354 +bas1982sgz348aa,1981-12-16,1981,12,day,1401.963,3.147046217637256 +bas1982sgz348ab,1981-12-16,1981,12,day,1515.474,3.1808349687163644 +bas1982sgz348ba,1981-12-16,1981,12,day,NA,NA +bas1982sgz348bb,1981-12-16,1981,12,day,NA,NA +bas1982sgz348ca,1981-12-16,1981,12,day,NA,NA +bas1982sgz348cb,1981-12-16,1981,12,day,NA,NA +bas1982sgz348da,1981-12-16,1981,12,day,NA,NA +bas1982sgz348db,1981-12-16,1981,12,day,NA,NA +bas1982sgz34aa,1981-11-24,1981,11,night,201.966,2.3074232928438265 +bas1982sgz34ab,1981-11-24,1981,11,night,223.879,2.351948901367405 +bas1982sgz34ba,1981-11-24,1981,11,day,NA,NA +bas1982sgz34bb,1981-11-24,1981,11,day,NA,NA +bas1982sgz358aa,1981-12-17,1981,12,day,8445.385,3.9266708733906617 +bas1982sgz358ab,1981-12-17,1981,12,day,1286.406,3.1097155288420564 +bas1982sgz358ba,1981-12-17,1981,12,day,NA,NA +bas1982sgz358bb,1981-12-17,1981,12,day,NA,NA +bas1982sgz358ca,1981-12-17,1981,12,day,NA,NA +bas1982sgz358cb,1981-12-17,1981,12,day,NA,NA +bas1982sgz358da,1981-12-17,1981,12,night,NA,NA +bas1982sgz358db,1981-12-17,1981,12,night,NA,NA +bas1982sgz36,1981-11-25,1981,11,night,180.216,2.258196539946435 +bas1982sgz360a,1981-12-17,1981,12,day,0.131,0.05346260492545529 +bas1982sgz360b,1981-12-17,1981,12,day,0,0 +bas1982sgz366a,1981-12-17,1981,12,day,0.087,0.03622954408629452 +bas1982sgz366b,1981-12-17,1981,12,day,0,0 +bas1982sgz373a,1981-12-18,1981,12,day,0,0 +bas1982sgz373b,1981-12-18,1981,12,day,0,0 +bas1982sgz378a,1981-12-18,1981,12,day,0.125,0.05115252244738129 +bas1982sgz378b,1981-12-18,1981,12,day,0,0 +bas1982sgz384a,1981-12-18,1981,12,day,0.127,0.05192391604610654 +bas1982sgz384b,1981-12-18,1981,12,day,0,0 +bas1982sgz391aa,1981-12-19,1981,12,day,0.407,0.14829409743474573 +bas1982sgz391ab,1981-12-19,1981,12,day,0.846,0.26623169668989327 +bas1982sgz391ba,1981-12-19,1981,12,day,NA,NA +bas1982sgz391bb,1981-12-19,1981,12,day,NA,NA +bas1982sgz391ca,1981-12-19,1981,12,day,NA,NA +bas1982sgz391cb,1981-12-19,1981,12,day,NA,NA +bas1982sgz391da,1981-12-19,1981,12,day,NA,NA +bas1982sgz391db,1981-12-19,1981,12,day,NA,NA +bas1982sgz41a,1981-11-25,1981,11,day,12.151,1.1189587777664338 +bas1982sgz41b,1981-11-25,1981,11,day,0,0 +bas1982sgz46a,1981-11-25,1981,11,day,0.56,0.1931245983544616 +bas1982sgz46b,1981-11-25,1981,11,day,0,0 +bas1982sgz54a,1981-11-26,1981,11,night,17.356,1.2637780490226218 +bas1982sgz54b,1981-11-26,1981,11,night,15.659,1.221648928192229 +bas1982sgz58aa,1981-11-26,1981,11,day,2.909,0.5920656704322471 +bas1982sgz58ab,1981-11-26,1981,11,day,5.646,0.8225603369426923 +bas1982sgz58ba,1981-11-26,1981,11,day,NA,NA +bas1982sgz58bb,1981-11-26,1981,11,day,NA,NA +bas1982sgz68aa,1981-11-27,1981,11,day,0.128,0.05230909964732353 +bas1982sgz68ab,1981-11-27,1981,11,day,0.509,0.1786892397755898 +bas1982sgz68ba,1981-11-27,1981,11,night,NA,NA +bas1982sgz68bb,1981-11-27,1981,11,night,NA,NA +bas1982sgz70a,1981-11-27,1981,11,day,0,0 +bas1982sgz70b,1981-11-27,1981,11,day,0,0 +bas1982sgz76a,1981-11-27,1981,11,day,0.049,0.02077548819355783 +bas1982sgz76b,1981-11-27,1981,11,day,0,0 +bas1982sgz81a,1981-11-28,1981,11,night,219.846,2.34408953765074 +bas1982sgz81b,1981-11-28,1981,11,night,265.412,2.4255537828721727 +bas1982sgz86a,1981-11-28,1981,11,day,0,0 +bas1982sgz86b,1981-11-28,1981,11,day,0,0 +bas1982sgz92a,1981-11-28,1981,11,day,0.698,0.22993768590793384 +bas1982sgz92b,1981-11-28,1981,11,day,0.782,0.25090769970085597 +bas1982sgz97aa,1981-11-29,1981,11,night,57.819,1.7695176366590875 +bas1982sgz97ab,1981-11-29,1981,11,night,0.385,0.14144977340046735 +bas1982sgz97ba,1981-11-29,1981,11,day,NA,NA +bas1982sgz97bb,1981-11-29,1981,11,day,NA,NA +bas1985sib0a,1985-01-15,1985,1,night,0.04,0.01703333929878037 +bas1985sib0b,1985-01-15,1985,1,night,NA,NA +bas1985sib0com,1985-01-15,1985,1,night,0.04,0.01703333929878037 +bas1985sib10,1985-01-19,1985,1,day,24.837,1.412242085209914 +bas1985sib11a,1985-01-19,1985,1,day,11.834,1.1083620349551717 +bas1985sib11b,1985-01-19,1985,1,day,NA,NA +bas1985sib11com,1985-01-19,1985,1,day,11.898,1.1105223726013231 +bas1985sib12a,1985-01-20,1985,1,night,0.073,0.030599721965951062 +bas1985sib12b,1985-01-20,1985,1,night,NA,NA +bas1985sib12com,1985-01-20,1985,1,night,0.086,0.03582982525282818 +bas1985sib13,1985-01-20,1985,1,day,0.346,0.12904505988795806 +bas1985sib14,1985-01-20,1985,1,day,0,0 +bas1985sib15a,1985-01-21,1985,1,day,0.073,0.030599721965951062 +bas1985sib15b,1985-01-21,1985,1,day,NA,NA +bas1985sib15com,1985-01-21,1985,1,day,0.073,0.030599721965951062 +bas1985sib16a,1985-01-21,1985,1,night,0.82,0.26007138798507473 +bas1985sib16b,1985-01-21,1985,1,day,NA,NA +bas1985sib16com,1985-01-21,1985,1,night,2.57,0.5526682161121932 +bas1985sib17a,1985-01-21,1985,1,day,0.147,0.059563417901267686 +bas1985sib17b,1985-01-21,1985,1,day,NA,NA +bas1985sib17com,1985-01-21,1985,1,day,0.147,0.059563417901267686 +bas1985sib18a,1985-01-21,1985,1,day,0.308,0.11660774398824847 +bas1985sib18b,1985-01-21,1985,1,day,NA,NA +bas1985sib19a,1985-01-22,1985,1,night,0,0 +bas1985sib19b,1985-01-22,1985,1,night,NA,NA +bas1985sib19com,1985-01-22,1985,1,night,0.031,0.01325866528351651 +bas1985sib1a,1985-01-16,1985,1,day,139.912,2.148947978999141 +bas1985sib1b,1985-01-16,1985,1,day,NA,NA +bas1985sib1com,1985-01-16,1985,1,day,141.569,2.15402510340831 +bas1985sib20a,1985-01-22,1985,1,day,0.047,0.019946681678842303 +bas1985sib20b,1985-01-22,1985,1,day,NA,NA +bas1985sib20com,1985-01-22,1985,1,day,0.047,0.019946681678842303 +bas1985sib21,1985-01-22,1985,1,day,0,0 +bas1985sib22a,1985-01-22,1985,1,day,0.731,0.23829706787539381 +bas1985sib22b,1985-01-22,1985,1,day,NA,NA +bas1985sib22com,1985-01-22,1985,1,day,1.154,0.33324569896196277 +bas1985sib23a,1985-01-23,1985,1,night,1.348,0.37069809257557684 +bas1985sib23b,1985-01-23,1985,1,night,NA,NA +bas1985sib23com,1985-01-23,1985,1,night,1.441,0.38756777941718856 +bas1985sib24a,1985-01-23,1985,1,day,0.068,0.028571252692537637 +bas1985sib24b,1985-01-23,1985,1,day,NA,NA +bas1985sib24com,1985-01-23,1985,1,day,0.125,0.05115252244738129 +bas1985sib25,1985-01-23,1985,1,day,156.683,2.1977848740253925 +bas1985sib26a,1985-01-24,1985,1,night,0.095,0.03941411917613713 +bas1985sib26b,1985-01-24,1985,1,night,NA,NA +bas1985sib27,1985-01-24,1985,1,day,0.484,0.17143390094300825 +bas1985sib28,1985-01-24,1985,1,day,0.023,0.009875633712160119 +bas1985sib29,1985-01-24,1985,1,day,1.109,0.3240765797394864 +bas1985sib2a,1985-01-16,1985,1,day,16.385,1.2401746950192774 +bas1985sib2b,1985-01-16,1985,1,day,NA,NA +bas1985sib2com,1985-01-16,1985,1,day,16.916,1.2532410537726502 +bas1985sib30a,1985-01-25,1985,1,night,0.032,0.013679697291192559 +bas1985sib30b,1985-01-25,1985,1,night,NA,NA +bas1985sib30com,1985-01-25,1985,1,night,0.052,0.02201573981772028 +bas1985sib31a,1985-01-25,1985,1,day,0,0 +bas1985sib31b,1985-01-25,1985,1,day,NA,NA +bas1985sib32,1985-01-26,1985,1,day,8.579,0.9813201732591074 +bas1985sib33a,1985-01-26,1985,1,night,1.799,0.44700289846616237 +bas1985sib33b,1985-01-26,1985,1,day,NA,NA +bas1985sib33com,1985-01-26,1985,1,night,1.799,0.44700289846616237 +bas1985sib34a,1985-01-27,1985,1,day,19.781,1.3176664423565012 +bas1985sib34b,1985-01-27,1985,1,day,NA,NA +bas1985sib34com,1985-01-27,1985,1,day,19.807,1.3182094671713804 +bas1985sib35a,1985-01-27,1985,1,day,0.965,0.2933625547114455 +bas1985sib35b,1985-01-27,1985,1,day,NA,NA +bas1985sib35com,1985-01-27,1985,1,day,1.001,0.30124708863621136 +bas1985sib36a,1985-01-28,1985,1,day,0.14,0.056904851336472634 +bas1985sib36b,1985-01-28,1985,1,day,NA,NA +bas1985sib36com,1985-01-28,1985,1,day,0.14,0.056904851336472634 +bas1985sib37a,1985-01-28,1985,1,day,7.285,0.9182925127553555 +bas1985sib37b,1985-01-28,1985,1,day,NA,NA +bas1985sib37com,1985-01-28,1985,1,day,7.45,0.9268567089496923 +bas1985sib38a,1985-01-29,1985,1,day,60.582,1.7894537893878852 +bas1985sib38b,1985-01-29,1985,1,day,NA,NA +bas1985sib38com,1985-01-29,1985,1,day,60.612,1.789665306746111 +bas1985sib39a,1985-01-30,1985,1,day,139.726,2.148374343443015 +bas1985sib39b,1985-01-30,1985,1,day,NA,NA +bas1985sib39com,1985-01-30,1985,1,day,142.23,2.156033991923621 +bas1985sib3a,1985-01-17,1985,1,night,7.979,0.9532279715598538 +bas1985sib3b,1985-01-17,1985,1,night,NA,NA +bas1985sib3com,1985-01-17,1985,1,night,8.155,0.9616583486377153 +bas1985sib40a,1985-01-31,1985,1,night,0.456,0.16316137497701835 +bas1985sib40b,1985-01-31,1985,1,night,NA,NA +bas1985sib40com,1985-01-31,1985,1,night,0.85,0.2671717284030138 +bas1985sib41a,1985-01-31,1985,1,day,4.073,0.7052648623174043 +bas1985sib41b,1985-01-31,1985,1,day,NA,NA +bas1985sib41c,1985-01-31,1985,1,day,NA,NA +bas1985sib41com,1985-01-31,1985,1,day,4.992,0.7775718046914101 +bas1985sib41d,1985-01-31,1985,1,day,NA,NA +bas1985sib42a,1985-02-02,1985,2,day,0.035,0.014940349792936524 +bas1985sib42b,1985-02-02,1985,2,night,NA,NA +bas1985sib42c,1985-02-02,1985,2,day,NA,NA +bas1985sib42com,1985-02-02,1985,2,day,0.12,0.04921802267018165 +bas1985sib42d,1985-02-02,1985,2,day,NA,NA +bas1985sib43,1985-02-02,1985,2,night,0.029,0.012415374762432893 +bas1985sib44a,1985-02-02,1985,2,day,0.034,0.014520538757923713 +bas1985sib44b,1985-02-02,1985,2,day,NA,NA +bas1985sib44com,1985-02-02,1985,2,day,0.034,0.014520538757923713 +bas1985sib45,1985-02-03,1985,2,night,1.97,0.47275644931721233 +bas1985sib46a,1985-02-03,1985,2,day,25.402,1.4216368267207542 +bas1985sib46b,1985-02-03,1985,2,day,NA,NA +bas1985sib46com,1985-02-03,1985,2,day,25.449,1.4224092566096984 +bas1985sib47,1985-02-03,1985,2,day,0.624,0.21058602490515652 +bas1985sib48a,1985-02-04,1985,2,night,0,0 +bas1985sib48b,1985-02-04,1985,2,night,NA,NA +bas1985sib48com,1985-02-04,1985,2,night,0,0 +bas1985sib49a,1985-02-04,1985,2,day,0,0 +bas1985sib49b,1985-02-04,1985,2,day,NA,NA +bas1985sib49com,1985-02-04,1985,2,day,0.037,0.01577875638904093 +bas1985sib4a,1985-01-17,1985,1,day,0.762,0.24600590407602912 +bas1985sib4b,1985-01-17,1985,1,day,NA,NA +bas1985sib4com,1985-01-17,1985,1,day,5.231,0.7945577512547615 +bas1985sib5,1985-01-17,1985,1,day,0.499,0.1758016328482795 +bas1985sib50a,1985-02-05,1985,2,night,0.015,0.006466042249231681 +bas1985sib50b,1985-02-05,1985,2,night,NA,NA +bas1985sib50com,1985-02-05,1985,2,night,0.015,0.006466042249231681 +bas1985sib51a,1985-02-05,1985,2,day,0,0 +bas1985sib51b,1985-02-05,1985,2,day,NA,NA +bas1985sib51com,1985-02-05,1985,2,day,0,0 +bas1985sib52,1985-02-05,1985,2,day,0,0 +bas1985sib53a,1985-02-06,1985,2,day,0.55,0.1903316981702915 +bas1985sib53b,1985-02-06,1985,2,day,NA,NA +bas1985sib6a,1985-01-16,1985,1,night,5.184,0.7912694809102685 +bas1985sib6b,1985-01-16,1985,1,night,NA,NA +bas1985sib7,1985-01-18,1985,1,day,0.026,0.011147360775797477 +bas1985sib8a,1985-01-18,1985,1,day,21.186,1.3460790086529422 +bas1985sib8b,1985-01-18,1985,1,day,NA,NA +bas1985sib8com,1985-01-18,1985,1,day,21.216,1.3466658667422011 +bas1985sib9a,1985-01-19,1985,1,night,95.746,1.985633017992352 +bas1985sib9b,1985-01-19,1985,1,night,NA,NA +bas1996bon1,1996-01-04,1996,1,night,0,0 +bas1996bon10,1996-01-07,1996,1,night,15.298,1.2121343134680171 +bas1996bon11,1996-01-07,1996,1,day,0,0 +bas1996bon12,1996-01-07,1996,1,day,0,0 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+vsi1981pol203a,1981-02-07,1981,2,day,62.368,1.8018700002817691 +vsi1981pol203b,1981-02-07,1981,2,day,0,0 +vsi1981pol205,1981-02-08,1981,2,day,0,0 +vsi1981pol208,1981-02-08,1981,2,day,5.913,0.8396665568824334 +vsi1981pol209,1981-02-08,1981,2,day,1.892,0.46119828862249324 +vsi1981pol210,1981-02-08,1981,2,day,6.008,0.8455940931600243 +vsi1981pol211,1981-02-08,1981,2,night,0,0 +vsi1981pol213,1981-02-09,1981,2,day,1.867,0.4574276929464845 +vsi1981pol214,1981-02-09,1981,2,day,0,0 +vsi1981pol215,1981-02-09,1981,2,day,8.021,0.95525468282018 +vsi1981pol217,1981-02-09,1981,2,day,0,0 +vsi1981pol219,1981-02-11,1981,2,day,0,0 +vsi1981pol224,1981-02-12,1981,2,day,0,0 +vsi1981pol226,1981-02-12,1981,2,day,0,0 +vsi1981pol227,1981-02-12,1981,2,day,0,0 +vsi1981pol228,1981-02-12,1981,2,day,5.223,0.7939998009844705 +vsi1981pol229,1981-02-12,1981,2,day,0,0 +vsi1981pol230,1981-02-12,1981,2,day,3.07,0.6095944092252201 +vsi1981pol231,1981-02-13,1981,2,day,1.572,0.41027096425218446 +vsi1981pol232,1981-02-13,1981,2,day,2.256,0.5126843962171637 +vsi1981pol233,1981-02-13,1981,2,day,0,0 +vsi1981pol234,1981-02-13,1981,2,day,2.28,0.515873843711679 +vsi1981pol235,1981-02-13,1981,2,day,0,0 +vsi1981pol237,1981-02-13,1981,2,day,1.396,0.3794868137172738 +vsi1981pol282,1981-02-26,1981,2,day,0,0 +vsi1981pol89,1981-01-04,1981,1,day,1.988,0.4753805931433612 +vsi1981pol91,1981-01-04,1981,1,day,0,0 +vsi1981pol94,1981-01-04,1981,1,day,0,0 +vsi1981pol97,1981-01-04,1981,1,day,0,0 +vsi1981pol99,1981-01-05,1981,1,day,0,0 +vsi1981xxx107,1981-02-11,1981,2,day,14.33,1.1855421548543752 +vsi1981xxx11,1981-01-26,1981,1,day,0.364,0.13481437032046006 +vsi1981xxx116,1981-02-12,1981,2,day,0.749,0.24278980947867654 +vsi1981xxx123,1981-02-13,1981,2,day,0.205,0.08098704691088722 +vsi1981xxx125,1981-02-14,1981,2,night,0,0 +vsi1981xxx128,1981-02-14,1981,2,day,0.42,0.15228834438305647 +vsi1981xxx131,1981-02-15,1981,2,night,0.116,0.04766419460155998 +vsi1981xxx137,1981-02-15,1981,2,day,25.626,1.4253059276703188 +vsi1981xxx140,1981-02-16,1981,2,night,1.472,0.3930484664167782 +vsi1981xxx144,1981-02-16,1981,2,day,0.127,0.05192391604610654 +vsi1981xxx147,1981-02-17,1981,2,night,0.181,0.07224989761351482 +vsi1981xxx151,1981-02-17,1981,2,day,1.484,0.3951515915045426 +vsi1981xxx154,1981-02-18,1981,2,night,2.29,0.5171958979499743 +vsi1981xxx159,1981-02-18,1981,2,day,58.947,1.7777674540562844 +vsi1981xxx167,1981-02-19,1981,2,day,270.35,2.433529825915495 +vsi1981xxx169,1981-02-20,1981,2,night,0.017,0.0073209529227445565 +vsi1981xxx178,1981-02-21,1981,2,day,0.184,0.07335170238690095 +vsi1981xxx19,1981-01-30,1981,1,day,0.086,0.03582982525282818 +vsi1981xxx205,1981-02-27,1981,2,day,0.143,0.05804623039528174 +vsi1981xxx210,1981-02-28,1981,2,night,51.366,1.7190494013929223 +vsi1981xxx220,1981-03-11,1981,3,night,0,0 +vsi1981xxx221,1981-03-11,1981,3,day,0,0 +vsi1981xxx222,1981-03-11,1981,3,day,0,0 +vsi1981xxx226,1981-03-12,1981,3,night,0.069,0.028977705208777998 +vsi1981xxx227,1981-03-12,1981,3,day,49.852,1.7063080383184066 +vsi1981xxx228,1981-03-12,1981,3,day,0.35,0.13033376849500614 +vsi1981xxx229,1981-03-12,1981,3,day,0.21,0.08278537031645007 +vsi1981xxx230,1981-03-12,1981,3,day,211.425,2.327205626925103 +vsi1981xxx232,1981-03-12,1981,3,night,12.846,1.1413243272754174 +vsi1981xxx233,1981-03-13,1981,3,night,171.02,2.235578943330128 +vsi1981xxx234,1981-03-13,1981,3,day,8.835,0.9927743642553556 +vsi1981xxx236,1981-03-13,1981,3,day,0.151,0.06107532362979181 +vsi1981xxx238,1981-03-13,1981,3,day,186.707,2.2734804687038577 +vsi1981xxx239,1981-03-13,1981,3,day,0.744,0.2415464805965484 +vsi1981xxx240,1981-03-15,1981,3,day,0.25,0.09691001300805642 +vsi1981xxx241,1981-03-15,1981,3,day,0,0 +vsi1981xxx242,1981-03-15,1981,3,day,26.676,1.4421033219314563 +vsi1981xxx244,1981-03-15,1981,3,day,0.189,0.0751818546186916 +vsi1981xxx245,1981-03-15,1981,3,day,1.662,0.4252080511386563 +vsi1981xxx246,1981-03-16,1981,3,day,6.15,0.8543060418010806 +vsi1981xxx247,1981-03-16,1981,3,day,2.682,0.5660837841679959 +vsi1981xxx248,1981-03-16,1981,3,day,0.045,0.01911629044707278 +vsi1981xxx249,1981-03-17,1981,3,night,0.241,0.09377178149872986 +vsi1981xxx250,1981-03-17,1981,3,day,10.577,1.063596033291059 +vsi1981xxx251,1981-03-17,1981,3,day,7.103,0.9086458389071134 +vsi1981xxx252,1981-03-17,1981,3,day,0.242,0.09412159584056139 +vsi1981xxx253,1981-03-18,1981,3,night,15.207,1.2097026321203521 +vsi1981xxx254,1981-03-18,1981,3,day,83.58,1.9272676808108815 +vsi1981xxx255,1981-03-18,1981,3,day,0.573,0.19672872262328683 +vsi1981xxx257,1981-03-19,1981,3,day,48.134,1.6913821214972042 +vsi1981xxx258,1981-03-19,1981,3,day,0.018,0.007747778000739948 +vsi1981xxx259,1981-03-19,1981,3,day,0.141,0.05728564441821465 +vsi1981xxx260,1981-03-19,1981,3,day,1.167,0.33585891131981793 +vsi1981xxx27,1981-01-31,1981,1,day,108.251,2.0384254208597987 +vsi1981xxx34,1981-02-01,1981,2,day,0.015,0.006466042249231681 +vsi1981xxx38,1981-02-02,1981,2,night,0.163,0.06557971472844842 +vsi1981xxx42,1981-02-02,1981,2,day,41.965,1.6331148161284958 +vsi1981xxx47,1981-02-03,1981,2,night,19.218,1.3057381922083175 +vsi1981xxx51,1981-02-03,1981,2,day,0.53,0.1846914308175988 +vsi1981xxx52,1981-02-03,1981,2,day,0,0 +vsi1981xxx53,1981-02-03,1981,2,day,0,0 +vsi1981xxx58,1981-02-04,1981,2,day,0,0 +vsi1981xxx59,1981-02-04,1981,2,day,0,0 +vsi1981xxx61,1981-02-05,1981,2,night,0,0 +vsi1981xxx65,1981-02-05,1981,2,day,3.562,0.6591552809406297 +vsi1981xxx67,1981-02-05,1981,2,day,4.901,0.7709256146389991 +vsi1981xxx69,1981-02-05,1981,2,night,1.163,0.33505651943909154 +vsi1981xxx73,1981-02-06,1981,2,day,1.405,0.3811150807098506 +vsi1981xxx74,1981-02-06,1981,2,day,3.332,0.6366884479532827 +vsi1981xxx75,1981-02-06,1981,2,day,13.557,1.1630718820038193 +vsi1981xxx77,1981-02-07,1981,2,night,2.897,0.5907304057926903 +vsi1981xxx81,1981-02-07,1981,2,day,0.139,0.05652372407910037 +vsi1981xxx82,1981-02-07,1981,2,day,0.272,0.10448711131239508 +vsi1981xxx83,1981-02-08,1981,2,night,0.027,0.011570443597278159 +vsi1981xxx90,1981-02-08,1981,2,day,0,0 +vsi1981xxx91,1981-02-08,1981,2,day,0,0 +vsi1981xxx98,1981-02-10,1981,2,night,0.086,0.03582982525282818 +vsi1982jbi1010a,1982-02-10,1982,2,night,NA,NA +vsi1982jbi1010b,1982-02-10,1982,2,night,NA,NA +vsi1982jbi1010c,1982-02-10,1982,2,night,0.135,0.05499586152914153 +vsi1982jbi1010com,1982-02-10,1982,2,night,0.162,0.06520612805431189 +vsi1982jbi1020a,1982-02-10,1982,2,day,NA,NA +vsi1982jbi1020b,1982-02-10,1982,2,day,NA,NA +vsi1982jbi1020c,1982-02-10,1982,2,day,0.05,0.021189299069938092 +vsi1982jbi1020com,1982-02-10,1982,2,day,0.718,0.23502315949522348 +vsi1982jbi1028a,1982-02-10,1982,2,day,NA,NA +vsi1982jbi1028b,1982-02-10,1982,2,day,NA,NA +vsi1982jbi1028c,1982-02-10,1982,2,day,0.708,0.23248786635298624 +vsi1982jbi1028com,1982-02-10,1982,2,day,333.751,2.5247218830517335 +vsi1982jbi1047,1982-02-11,1982,2,day,NA,NA +vsi1982jbi1050a,1982-02-11,1982,2,day,NA,NA +vsi1982jbi1050b,1982-02-11,1982,2,day,0.755,0.24427712080184286 +vsi1982jbi1050c,1982-02-11,1982,2,day,34.071,1.5449481493514254 +vsi1982jbi1050com,1982-02-11,1982,2,day,39.748,1.6101062974863127 +vsi1982jbi1058a,1982-02-12,1982,2,night,NA,NA +vsi1982jbi1058b,1982-02-12,1982,2,night,NA,NA +vsi1982jbi1058c,1982-02-12,1982,2,night,4.994,0.777716738609626 +vsi1982jbi1058com,1982-02-12,1982,2,night,17.147,1.2588048392270133 +vsi1982jbi1065a,1982-02-12,1982,2,day,NA,NA +vsi1982jbi1065b,1982-02-12,1982,2,day,NA,NA +vsi1982jbi1065c,1982-02-12,1982,2,day,0.061,0.025715383901340642 +vsi1982jbi1065com,1982-02-12,1982,2,day,1.059,0.31365634661803143 +vsi1982jbi1071a,1982-02-12,1982,2,day,NA,NA +vsi1982jbi1071b,1982-02-12,1982,2,day,NA,NA +vsi1982jbi1071c,1982-02-12,1982,2,day,62.476,1.8026095514687366 +vsi1982jbi1071com,1982-02-12,1982,2,day,138.214,2.1436829121209073 +vsi1982jbi1073,1982-02-12,1982,2,day,NA,NA +vsi1982jbi1081a,1982-02-12,1982,2,day,NA,NA +vsi1982jbi1081b,1982-02-12,1982,2,day,NA,NA +vsi1982jbi1081c,1982-02-12,1982,2,day,0.081,0.03382569395331033 +vsi1982jbi1081com,1982-02-12,1982,2,day,0.128,0.05230909964732353 +vsi1982jbi1084a,1982-02-13,1982,2,day,NA,NA +vsi1982jbi1084b,1982-02-13,1982,2,day,NA,NA +vsi1982jbi1084c,1982-02-13,1982,2,day,0,0 +vsi1982jbi1084com,1982-02-13,1982,2,day,0.264,0.10174707394636621 +vsi1982jbi1091a,1982-02-13,1982,2,day,NA,NA +vsi1982jbi1091b,1982-02-13,1982,2,day,NA,NA +vsi1982jbi1091c,1982-02-13,1982,2,day,0.025,0.010723865391773066 +vsi1982jbi1091com,1982-02-13,1982,2,day,0.051,0.02160271602824219 +vsi1982jbi1097a,1982-02-14,1982,2,night,NA,NA +vsi1982jbi1097b,1982-02-14,1982,2,night,4.108,0.7082508885913776 +vsi1982jbi1097c,1982-02-14,1982,2,night,18.059,1.2801001100549243 +vsi1982jbi1097com,1982-02-14,1982,2,night,27.02,1.4474681309497557 +vsi1982jbi1103a,1982-02-14,1982,2,night,NA,NA +vsi1982jbi1103b,1982-02-14,1982,2,night,0.521,0.18212921405299837 +vsi1982jbi1103c,1982-02-14,1982,2,night,2.452,0.538070787043172 +vsi1982jbi1103com,1982-02-14,1982,2,night,3.576,0.6604860157849678 +vsi1982jbi1109a,1982-02-14,1982,2,day,NA,NA +vsi1982jbi1109b,1982-02-14,1982,2,day,NA,NA +vsi1982jbi1109c,1982-02-14,1982,2,day,14.839,1.199727758807056 +vsi1982jbi1109com,1982-02-14,1982,2,day,16.164,1.2346185058606343 +vsi1982jbi1115a,1982-02-14,1982,2,day,NA,NA +vsi1982jbi1115b,1982-02-14,1982,2,day,NA,NA +vsi1982jbi1115c,1982-02-14,1982,2,day,1785.755,3.252065006091168 +vsi1982jbi1115com,1982-02-14,1982,2,day,2022.531,3.306109862063791 +vsi1982jbi1121a,1982-02-14,1982,2,day,NA,NA +vsi1982jbi1121b,1982-02-14,1982,2,day,NA,NA +vsi1982jbi1121c,1982-02-14,1982,2,day,8.841,0.9930392318069095 +vsi1982jbi1121com,1982-02-14,1982,2,day,10.126,1.046339055604809 +vsi1982jbi1124a,1982-02-15,1982,2,night,NA,NA +vsi1982jbi1124b,1982-02-15,1982,2,night,NA,NA +vsi1982jbi1124c,1982-02-15,1982,2,night,470.387,2.673377601297947 +vsi1982jbi1124com,1982-02-15,1982,2,night,520.38,2.717154367729452 +vsi1982jbi1130a,1982-02-15,1982,2,day,NA,NA +vsi1982jbi1130b,1982-02-15,1982,2,day,NA,NA +vsi1982jbi1130c,1982-02-15,1982,2,day,1274.492,3.105677739020485 +vsi1982jbi1130com,1982-02-15,1982,2,day,1581.034,3.1992158128239288 +vsi1982jbi1132a,1982-02-15,1982,2,day,NA,NA +vsi1982jbi1132b,1982-02-15,1982,2,day,NA,NA +vsi1982jbi1132c,1982-02-15,1982,2,day,391.576,2.5939237456303537 +vsi1982jbi1132com,1982-02-15,1982,2,day,438.403,2.6428630177164854 +vsi1982jbi1144a,1982-02-15,1982,2,day,NA,NA +vsi1982jbi1144b,1982-02-15,1982,2,day,NA,NA +vsi1982jbi1144c,1982-02-15,1982,2,day,NA,NA +vsi1982jbi1144com,1982-02-15,1982,2,day,NA,NA +vsi1982jbi1149a,1982-02-16,1982,2,night,NA,NA +vsi1982jbi1149b,1982-02-16,1982,2,night,30.74,1.5016069224188293 +vsi1982jbi1149c,1982-02-16,1982,2,night,883.563,2.9467287694989985 +vsi1982jbi1149com,1982-02-16,1982,2,night,1066.894,3.0285281464193616 +vsi1982jbi1154a,1982-02-16,1982,2,day,NA,NA +vsi1982jbi1154b,1982-02-16,1982,2,day,8.168,0.9622746046233147 +vsi1982jbi1154c,1982-02-16,1982,2,day,498.426,2.698471147872365 +vsi1982jbi1154com,1982-02-16,1982,2,day,600.038,2.778901930685939 +vsi1982jbi1160a,1982-02-16,1982,2,day,NA,NA +vsi1982jbi1160b,1982-02-16,1982,2,day,NA,NA +vsi1982jbi1160c,1982-02-16,1982,2,day,NA,NA +vsi1982jbi1160com,1982-02-16,1982,2,day,NA,NA +vsi1982jbi1167a,1982-02-17,1982,2,night,NA,NA +vsi1982jbi1167b,1982-02-17,1982,2,night,NA,NA +vsi1982jbi1167c,1982-02-17,1982,2,night,0.102,0.04218159451576627 +vsi1982jbi1167com,1982-02-17,1982,2,night,0.349,0.13001194967190424 +vsi1982jbi1168a,1982-02-17,1982,2,night,NA,NA +vsi1982jbi1168b,1982-02-17,1982,2,night,NA,NA +vsi1982jbi1168c,1982-02-17,1982,2,night,NA,NA +vsi1982jbi1168com,1982-02-17,1982,2,night,NA,NA +vsi1982jbi1170a,1982-02-17,1982,2,day,NA,NA +vsi1982jbi1170b,1982-02-17,1982,2,day,NA,NA +vsi1982jbi1170c,1982-02-17,1982,2,day,0.226,0.08849047018239622 +vsi1982jbi1170com,1982-02-17,1982,2,day,0.583,0.19948091486235592 +vsi1982jbi1174a,1982-02-18,1982,2,day,NA,NA +vsi1982jbi1174b,1982-02-18,1982,2,day,NA,NA +vsi1982jbi1174c,1982-02-18,1982,2,day,3.113,0.6141587095091751 +vsi1982jbi1174com,1982-02-18,1982,2,day,6.282,0.862250674597925 +vsi1982jbi1183a,1982-02-18,1982,2,day,NA,NA +vsi1982jbi1183b,1982-02-18,1982,2,day,NA,NA +vsi1982jbi1183c,1982-02-18,1982,2,day,100.619,2.0069749168425433 +vsi1982jbi1183com,1982-02-18,1982,2,day,111.128,2.049714075815949 +vsi1982jbi1187a,1982-02-19,1982,2,night,NA,NA +vsi1982jbi1187b,1982-02-19,1982,2,night,NA,NA +vsi1982jbi1187c,1982-02-19,1982,2,night,6.067,0.8492350913147225 +vsi1982jbi1187com,1982-02-19,1982,2,night,35.928,1.5673557871396187 +vsi1982jbi1194a,1982-02-19,1982,2,day,NA,NA +vsi1982jbi1194b,1982-02-19,1982,2,day,NA,NA +vsi1982jbi1194c,1982-02-19,1982,2,day,45.169,1.6643504680277452 +vsi1982jbi1194com,1982-02-19,1982,2,day,64.557,1.8166190712978463 +vsi1982jbi1201a,1982-02-19,1982,2,day,NA,NA +vsi1982jbi1201b,1982-02-19,1982,2,day,NA,NA +vsi1982jbi1201c,1982-02-19,1982,2,day,3.035,0.6058435390580892 +vsi1982jbi1201com,1982-02-19,1982,2,day,3.351,0.6385890832927169 +vsi1982jbi1207a,1982-02-19,1982,2,day,NA,NA +vsi1982jbi1207b,1982-02-19,1982,2,day,NA,NA +vsi1982jbi1207c,1982-02-19,1982,2,day,23.029,1.3807356974156912 +vsi1982jbi1207com,1982-02-19,1982,2,day,80.004,1.9085064649902022 +vsi1982jbi1213a,1982-02-20,1982,2,night,NA,NA +vsi1982jbi1213b,1982-02-20,1982,2,night,NA,NA +vsi1982jbi1213c,1982-02-20,1982,2,night,0.845,0.2659963704950792 +vsi1982jbi1213com,1982-02-20,1982,2,night,3.245,0.6278776945799714 +vsi1982jbi1218a,1982-02-20,1982,2,night,NA,NA +vsi1982jbi1218b,1982-02-20,1982,2,night,NA,NA +vsi1982jbi1218com,1982-02-20,1982,2,night,NA,NA +vsi1982jbi1234a,1982-02-22,1982,2,day,NA,NA +vsi1982jbi1234b,1982-02-22,1982,2,day,NA,NA +vsi1982jbi1234c,1982-02-22,1982,2,day,1.538,0.40449161775868603 +vsi1982jbi1234com,1982-02-22,1982,2,day,2.427,0.5349141044298669 +vsi1982jbi1239a,1982-02-22,1982,2,day,NA,NA +vsi1982jbi1239b,1982-02-22,1982,2,day,NA,NA +vsi1982jbi1239c,1982-02-22,1982,2,day,1139.506,3.0570975743650015 +vsi1982jbi1239com,1982-02-22,1982,2,day,1160.698,3.0650932416686687 +vsi1982jbi1250a,1982-02-23,1982,2,night,NA,NA +vsi1982jbi1250b,1982-02-23,1982,2,night,NA,NA +vsi1982jbi1250c,1982-02-23,1982,2,night,32.732,1.5280420916550654 +vsi1982jbi1250com,1982-02-23,1982,2,night,183.724,2.2665233241919216 +vsi1982jbi1257a,1982-02-23,1982,2,day,NA,NA +vsi1982jbi1257b,1982-02-23,1982,2,day,3.177,0.6208644752651211 +vsi1982jbi1257c,1982-02-23,1982,2,day,118.738,2.07823199979081 +vsi1982jbi1257com,1982-02-23,1982,2,day,134.539,2.132064277112742 +vsi1982jbi838a,1982-02-02,1982,2,night,NA,NA +vsi1982jbi838b,1982-02-02,1982,2,night,NA,NA +vsi1982jbi838c,1982-02-02,1982,2,night,21.574,1.3536085207086392 +vsi1982jbi838com,1982-02-02,1982,2,night,26.687,1.4422759007065877 +vsi1982jbi848a,1982-02-02,1982,2,day,NA,NA +vsi1982jbi848b,1982-02-02,1982,2,day,NA,NA +vsi1982jbi848c,1982-02-02,1982,2,day,554.225,2.744469012773902 +vsi1982jbi848com,1982-02-02,1982,2,day,573.2,2.7590631881604875 +vsi1982jbi857a,1982-02-02,1982,2,day,NA,NA +vsi1982jbi857b,1982-02-02,1982,2,day,NA,NA +vsi1982jbi857c,1982-02-02,1982,2,day,1.857,0.455910240382743 +vsi1982jbi857com,1982-02-02,1982,2,day,55.623,1.7529928754305397 +vsi1982jbi865a,1982-02-03,1982,2,night,NA,NA +vsi1982jbi865b,1982-02-03,1982,2,night,NA,NA +vsi1982jbi865c,1982-02-03,1982,2,night,210.701,2.3257229094764558 +vsi1982jbi865com,1982-02-03,1982,2,night,462.547,2.666093774739016 +vsi1982jbi872a,1982-02-03,1982,2,day,NA,NA +vsi1982jbi872b,1982-02-03,1982,2,day,NA,NA +vsi1982jbi872c,1982-02-03,1982,2,day,0.804,0.25623653320592293 +vsi1982jbi872com,1982-02-03,1982,2,day,7.217,0.9147132869736238 +vsi1982jbi880a,1982-02-03,1982,2,day,NA,NA +vsi1982jbi880b,1982-02-03,1982,2,day,NA,NA +vsi1982jbi880c,1982-02-03,1982,2,day,0.725,0.23678909940929294 +vsi1982jbi880com,1982-02-03,1982,2,day,3.372,0.6406801532776651 +vsi1982jbi882a,1982-02-03,1982,2,day,NA,NA +vsi1982jbi882b,1982-02-03,1982,2,day,NA,NA +vsi1982jbi882c,1982-02-03,1982,2,day,375.797,2.576107436348461 +vsi1982jbi882com,1982-02-03,1982,2,day,414.418,2.618485310521927 +vsi1982jbi889a,1982-02-04,1982,2,night,NA,NA +vsi1982jbi889b,1982-02-04,1982,2,night,NA,NA +vsi1982jbi889c,1982-02-04,1982,2,night,489.527,2.6906629171762946 +vsi1982jbi889com,1982-02-04,1982,2,night,564.346,2.7523143237466887 +vsi1982jbi896a,1982-02-04,1982,2,day,NA,NA +vsi1982jbi896b,1982-02-04,1982,2,day,NA,NA +vsi1982jbi896c,1982-02-04,1982,2,day,85.286,1.9359403366656924 +vsi1982jbi896com,1982-02-04,1982,2,day,116.971,2.0717752607988125 +vsi1982jbi954a,1982-02-07,1982,2,day,NA,NA +vsi1982jbi954b,1982-02-07,1982,2,day,NA,NA +vsi1982jbi954c,1982-02-07,1982,2,day,0.026,0.011147360775797477 +vsi1982jbi954com,1982-02-07,1982,2,day,0.726,0.2370407913791908 +vsi1982jbi960a,1982-02-07,1982,2,day,NA,NA +vsi1982jbi960b,1982-02-07,1982,2,day,NA,NA +vsi1982jbi960c,1982-02-07,1982,2,day,0.6,0.20411998265592482 +vsi1982jbi960com,1982-02-07,1982,2,day,1804.959,3.2567078864670336 +vsi1982jbi961a,1982-02-07,1982,2,day,NA,NA +vsi1982jbi961b,1982-02-07,1982,2,day,NA,NA +vsi1982jbi961c,1982-02-07,1982,2,day,NA,NA +vsi1982jbi961com,1982-02-07,1982,2,day,NA,NA +vsi1982jbi966a,1982-02-08,1982,2,night,NA,NA +vsi1982jbi966b,1982-02-08,1982,2,night,NA,NA +vsi1982jbi966c,1982-02-08,1982,2,night,7.518,0.9303376357377301 +vsi1982jbi967com,1982-02-08,1982,2,night,10.589,1.0640459628644827 +vsi1982jbi967d,1982-02-08,1982,2,night,NA,NA +vsi1982jbi967e,1982-02-08,1982,2,night,NA,NA +vsi1982jbi967f,1982-02-08,1982,2,night,NA,NA +vsi1982jbi969a,1982-02-08,1982,2,day,NA,NA +vsi1982jbi969b,1982-02-08,1982,2,day,NA,NA +vsi1982jbi969c,1982-02-08,1982,2,day,1.646,0.42258983985148213 +vsi1982jbi969com,1982-02-08,1982,2,day,2.799,0.5796692935547203 +vsi1982jbi975a,1982-02-08,1982,2,day,NA,NA +vsi1982jbi975b,1982-02-08,1982,2,day,NA,NA +vsi1982jbi975c,1982-02-08,1982,2,day,0.509,0.1786892397755898 +vsi1982jbi975com,1982-02-08,1982,2,day,0.647,0.21669359916975434 +vsi1982jbi976a,1982-02-08,1982,2,day,NA,NA +vsi1982jbi976b,1982-02-08,1982,2,day,NA,NA +vsi1982jbi976c,1982-02-08,1982,2,day,NA,NA +vsi1982jbi976com,1982-02-08,1982,2,day,NA,NA +vsi1982jbi982a,1982-02-08,1982,2,day,NA,NA +vsi1982jbi982b,1982-02-08,1982,2,day,NA,NA +vsi1982jbi982c,1982-02-08,1982,2,day,0.034,0.014520538757923713 +vsi1982jbi982com,1982-02-08,1982,2,day,0.62,0.20951501454263097 +vsi1982jbi986a,1982-02-09,1982,2,night,NA,NA +vsi1982jbi986b,1982-02-09,1982,2,night,NA,NA +vsi1982jbi986c,1982-02-09,1982,2,night,0.163,0.06557971472844842 +vsi1982jbi986com,1982-02-09,1982,2,night,0.857,0.2688119037397804 +vsi1982jbi992a,1982-02-09,1982,2,day,NA,NA +vsi1982jbi992b,1982-02-09,1982,2,day,NA,NA +vsi1982jbi992c,1982-02-09,1982,2,day,0,0 +vsi1982jbi992com,1982-02-09,1982,2,day,0.326,0.12254352406875435 +vsi1982jbi997a,1982-02-09,1982,2,day,NA,NA +vsi1982jbi997b,1982-02-09,1982,2,day,NA,NA +vsi1982jbi997c,1982-02-09,1982,2,day,0.022,0.009450895798693935 +vsi1982jbi997com,1982-02-09,1982,2,day,6.5,0.8750612633917001 +vsi1984arg1,1984-01-27,1984,1,night,0.059,0.024895960107484977 +vsi1984arg10,1984-01-30,1984,1,day,0,0 +vsi1984arg100,1984-02-24,1984,2,day,0,0 +vsi1984arg101,1984-02-24,1984,2,day,34.474,1.549910161688267 +vsi1984arg102,1984-02-24,1984,2,night,0.442,0.15896526038341022 +vsi1984arg103,1984-02-25,1984,2,night,0.142,0.05766610390982921 +vsi1984arg104,1984-02-25,1984,2,day,4.798,0.7632782110189786 +vsi1984arg105,1984-02-25,1984,2,day,0,0 +vsi1984arg106,1984-02-26,1984,2,day,0,0 +vsi1984arg107,1984-02-26,1984,2,day,87.575,1.947311161005215 +vsi1984arg108,1984-02-26,1984,2,day,0,0 +vsi1984arg109,1984-02-26,1984,2,night,0,0 +vsi1984arg11,1984-01-31,1984,1,night,0.137,0.05576046468773478 +vsi1984arg110,1984-02-27,1984,2,night,0,0 +vsi1984arg113,1984-02-28,1984,2,day,0,0 +vsi1984arg115,1984-02-29,1984,2,day,0,0 +vsi1984arg116,1984-02-29,1984,2,day,0,0 +vsi1984arg117,1984-02-29,1984,2,day,0,0 +vsi1984arg118,1984-02-29,1984,2,day,0,0 +vsi1984arg119,1984-02-29,1984,2,day,0.609,0.20655604409902956 +vsi1984arg12,1984-01-31,1984,1,day,0,0 +vsi1984arg120,1984-03-01,1984,3,night,522.388,2.718823761113327 +vsi1984arg121,1984-03-01,1984,3,day,0,0 +vsi1984arg122,1984-03-01,1984,3,day,0,0 +vsi1984arg123,1984-03-02,1984,3,night,0,0 +vsi1984arg124,1984-03-02,1984,3,day,24.398,1.4047995188576539 +vsi1984arg125,1984-03-02,1984,3,day,58.929,1.777637030940181 +vsi1984arg126,1984-03-02,1984,3,day,13.149,1.1507257465861944 +vsi1984arg127,1984-03-02,1984,3,day,0,0 +vsi1984arg128,1984-03-03,1984,3,night,0.775,0.24919835739111287 +vsi1984arg129,1984-03-03,1984,3,day,20.122,1.3247350382860186 +vsi1984arg13,1984-01-31,1984,1,day,0,0 +vsi1984arg130,1984-03-03,1984,3,day,0,0 +vsi1984arg131,1984-03-04,1984,3,night,2.95,0.5965970956264602 +vsi1984arg132,1984-03-04,1984,3,night,1.313,0.3641756327706194 +vsi1984arg133,1984-03-04,1984,3,day,0,0 +vsi1984arg134,1984-03-04,1984,3,day,208.613,2.321418213679946 +vsi1984arg135,1984-03-04,1984,3,day,0,0 +vsi1984arg136,1984-03-05,1984,3,night,1.485,0.39532639306935097 +vsi1984arg137,1984-03-06,1984,3,day,37.302,1.5832214519395373 +vsi1984arg138,1984-03-06,1984,3,day,2.403,0.5318619490958094 +vsi1984arg139,1984-03-06,1984,3,night,10.921,1.0763126879768579 +vsi1984arg14,1984-01-31,1984,1,day,0,0 +vsi1984arg140,1984-03-07,1984,3,night,2.055,0.4850112145785731 +vsi1984arg141,1984-03-07,1984,3,day,3.75,0.6766936096248666 +vsi1984arg142,1984-03-07,1984,3,night,0,0 +vsi1984arg143,1984-03-09,1984,3,night,0,0 +vsi1984arg144,1984-03-09,1984,3,day,2425.991,3.385068165842613 +vsi1984arg146,1984-03-09,1984,3,day,124.96,2.1002326519645065 +vsi1984arg147,1984-03-10,1984,3,night,0,0 +vsi1984arg148,1984-03-10,1984,3,night,0.453,0.16226561429802155 +vsi1984arg149,1984-03-10,1984,3,day,1.568,0.40959501939681564 +vsi1984arg15,1984-01-31,1984,1,day,0.432,0.1559430179718367 +vsi1984arg151,1984-03-10,1984,3,night,116.708,2.07080598058163 +vsi1984arg152,1984-03-11,1984,3,night,0.707,0.23223352111473358 +vsi1984arg153,1984-03-11,1984,3,day,670.324,2.8269321735982227 +vsi1984arg154,1984-03-11,1984,3,day,277.314,2.444535053153375 +vsi1984arg155,1984-03-11,1984,3,day,0,0 +vsi1984arg156,1984-03-12,1984,3,night,2746.086,3.4388722556130666 +vsi1984arg157,1984-03-12,1984,3,night,2.849,0.585347911094591 +vsi1984arg158,1984-03-12,1984,3,day,0,0 +vsi1984arg159,1984-03-12,1984,3,day,0,0 +vsi1984arg16,1984-02-01,1984,2,night,1.162,0.3348556896172915 +vsi1984arg160,1984-03-12,1984,3,day,6.768,0.8903092168999485 +vsi1984arg161,1984-03-13,1984,3,night,6.546,0.8777168008649767 +vsi1984arg162,1984-03-13,1984,3,night,0.365,0.13513265137677483 +vsi1984arg163,1984-03-13,1984,3,day,0,0 +vsi1984arg164,1984-03-13,1984,3,day,0,0 +vsi1984arg165,1984-03-13,1984,3,day,0,0 +vsi1984arg166,1984-03-14,1984,3,night,0.743,0.24129738710999313 +vsi1984arg167,1984-03-14,1984,3,night,0.475,0.16879202031418183 +vsi1984arg168,1984-03-14,1984,3,day,0,0 +vsi1984arg169,1984-03-14,1984,3,day,0,0 +vsi1984arg170,1984-03-15,1984,3,night,0.483,0.17114115102838204 +vsi1984arg171,1984-03-15,1984,3,night,0,0 +vsi1984arg172,1984-03-15,1984,3,day,0.429,0.15503222879097023 +vsi1984arg174,1984-03-15,1984,3,day,1.71,0.4329692908744057 +vsi1984arg175,1984-03-16,1984,3,night,0.454,0.162564406523019 +vsi1984arg176,1984-03-16,1984,3,night,0,0 +vsi1984arg177,1984-03-16,1984,3,day,0,0 +vsi1984arg178,1984-04-03,1984,4,night,0.833,0.2631624649622166 +vsi1984arg179,1984-04-03,1984,4,night,2.77,0.5763413502057928 +vsi1984arg18,1984-02-01,1984,2,day,0,0 +vsi1984arg180,1984-04-03,1984,4,day,0,0 +vsi1984arg181,1984-04-03,1984,4,day,0,0 +vsi1984arg183,1984-04-04,1984,4,night,0.568,0.19534605834841964 +vsi1984arg184,1984-04-04,1984,4,night,2.834,0.5836521085420439 +vsi1984arg185,1984-04-04,1984,4,day,0,0 +vsi1984arg186,1984-04-04,1984,4,day,2.878,0.5886078047426866 +vsi1984arg187,1984-04-04,1984,4,night,0.411,0.14952701375434782 +vsi1984arg188,1984-04-05,1984,4,night,0.203,0.08026562733984477 +vsi1984arg189,1984-04-05,1984,4,day,6.539,0.8773137433122384 +vsi1984arg190,1984-04-05,1984,4,day,0,0 +vsi1984arg193,1984-04-06,1984,4,night,1.129,0.32817566143832255 +vsi1984arg195,1984-04-07,1984,4,day,0,0 +vsi1984arg196,1984-04-07,1984,4,day,1.44,0.3873898263387294 +vsi1984arg198,1984-04-08,1984,4,night,0,0 +vsi1984arg199,1984-04-08,1984,4,day,0,0 +vsi1984arg2,1984-01-28,1984,1,night,0,0 +vsi1984arg20,1984-02-01,1984,2,day,0.249,0.09656243837413554 +vsi1984arg200,1984-04-07,1984,4,day,0,0 +vsi1984arg201,1984-04-07,1984,4,night,13.094,1.1490342671612495 +vsi1984arg202,1984-04-07,1984,4,night,0,0 +vsi1984arg21,1984-02-02,1984,2,night,1.157,0.33385014510254507 +vsi1984arg22,1984-02-02,1984,2,day,0,0 +vsi1984arg23,1984-02-02,1984,2,day,0,0 +vsi1984arg24,1984-02-02,1984,2,day,0,0 +vsi1984arg26,1984-02-03,1984,2,night,0.112,0.0461047872460387 +vsi1984arg27,1984-02-03,1984,2,day,0,0 +vsi1984arg28,1984-02-03,1984,2,day,0,0 +vsi1984arg3,1984-01-28,1984,1,day,0,0 +vsi1984arg30,1984-02-04,1984,2,night,0.113,0.04649516433470831 +vsi1984arg32,1984-02-04,1984,2,day,0,0 +vsi1984arg34,1984-02-04,1984,2,day,0,0 +vsi1984arg35,1984-02-04,1984,2,night,0.283,0.10822665637492848 +vsi1984arg37,1984-02-05,1984,2,day,0,0 +vsi1984arg38,1984-02-05,1984,2,day,0,0 +vsi1984arg39,1984-02-05,1984,2,day,0,0 +vsi1984arg4,1984-01-28,1984,1,day,0,0 +vsi1984arg40,1984-02-06,1984,2,day,0,0 +vsi1984arg41,1984-02-06,1984,2,day,0,0 +vsi1984arg45,1984-02-07,1984,2,day,0,0 +vsi1984arg46,1984-02-07,1984,2,day,0,0 +vsi1984arg47,1984-02-08,1984,2,day,0,0 +vsi1984arg48,1984-02-08,1984,2,day,0,0 +vsi1984arg5,1984-01-28,1984,1,day,0.148,0.05994188806195468 +vsi1984arg50,1984-02-09,1984,2,day,0.187,0.07445071895459124 +vsi1984arg53,1984-02-10,1984,2,day,482.578,2.6844665347529704 +vsi1984arg55,1984-02-11,1984,2,day,42.127,1.6347492488076665 +vsi1984arg56,1984-02-11,1984,2,day,1.037,0.3089910290001641 +vsi1984arg57,1984-02-12,1984,2,night,0.923,0.2839792842384799 +vsi1984arg58,1984-02-12,1984,2,day,1816.897,3.259569272945985 +vsi1984arg59,1984-02-12,1984,2,day,2.88,0.5888317255942073 +vsi1984arg61,1984-02-13,1984,2,day,0,0 +vsi1984arg62,1984-02-13,1984,2,day,0,0 +vsi1984arg63,1984-02-13,1984,2,day,23.254,1.3847833732339923 +vsi1984arg64,1984-02-14,1984,2,day,0,0 +vsi1984arg65,1984-02-14,1984,2,day,0,0 +vsi1984arg66,1984-02-15,1984,2,night,0,0 +vsi1984arg67,1984-02-15,1984,2,day,0,0 +vsi1984arg68,1984-02-15,1984,2,day,0,0 +vsi1984arg7,1984-01-30,1984,1,night,0.469,0.16702179579025647 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+vsi2004lak1117,2004-04-26,2004,4,day,9692.214,3.9864678008930063 diff --git a/modules/module_2/assignments/a3/m2a3.qmd b/modules/module_2/assignments/a3/m2a3.qmd new file mode 100644 index 0000000..934af47 --- /dev/null +++ b/modules/module_2/assignments/a3/m2a3.qmd @@ -0,0 +1,224 @@ +--- +title: "Module 2, Assignment 3: Final Project Kickoff" +author: "your name here" +date: today +format: pdf +--- + +```{r} +#| include: false +knitr::opts_chunk$set(echo = TRUE) +``` + +# Assignment Description + +### Purpose + +The goal of this assignment is to get started working on the final project for the course. + +### Task + +Choose a dataset to work with for the final, write a research question, summarize and plot the data. + +### Criteria for Success + +- Code is within the provided code chunks +- Code chunks run without errors +- Code produces the correct result + - Code that produces the correct answer will receive full credit + - Code attempts with logical direction will receive partial credit +- Written answers address the questions in sufficient detail + +# Assignment Questions + +All questions are worth 1 point unless otherwise specified. + +## Explore Datasets + +Click on the links for each dataset and read a little bit about each one. + +- [KrillBase](https://www.bas.ac.uk/project/krillbase/#about) +- [Fur Seal Pups](https://ramadda.data.bas.ac.uk/repository/entry/show?entryid=bc6d802a-fce5-495d-b5e1-bb26f824847c) at Maiviken +- [Gentoo Penguins](https://ramadda.data.bas.ac.uk/repository/entry/show?entryid=1fd5bc8a-96b5-4f53-aa15-33e5330e7705) on Bird Island +- [Chinstrap Penguins](https://ramadda.data.bas.ac.uk/repository/entry/show?entryid=d784af69-c92b-444c-a12e-ee0361802cb1) on Signy Island + +Now that you have an idea of what each data set is about, let's explore the actual data. + +First, we need to load the `tidyverse` package. + +```{r} +# load the tidyverse + +``` + +Read all four datasets (.csv files) into RStudio using the `read_csv()` function (*not* `read.csv`). Remember to save each dataset as an object with a descriptive name. + +```{r} + +``` + +1. Use a function (e.g., `head()` or `str()`) to look at the data in each data frame. + +```{r} + +``` + +## Choose Your Dataset + +2. Now that you've explored the datasets, decide which one you would like to focus on for the final project. Below, tell us which one and why you find it interesting. + +*Answer*: + +### Modifications + +Find your dataset below. + +I've made a few modifications to each of the dataset to make them a bit more manageable to work with. Based on how some of these variables will be used in future assignments, you should treat certain variables in the way I've listed below (even if they could be considered either *numeric* or *categorical)*. + +#### Krill + +- You will want to use the `Krill_per_1m2_log` column as your dependent variable. This is a log-transformed version of the `Krill_per_1m2` column. You don't need to worry about *why* we transformed the data, but this column should be a bit easier to work with. +- The `Date`, `Year`, and `Month` columns should all be treated as *numeric* variables. +- While the `Station` column can *technically* be considered a categorical variable, please use the `Day_Night` column as your categorical variable for this assignment and for your research question. + +#### Fur Seals + +- If you choose to use the `Date` or `Year` column, treat them as *numeric* variables. +- On the other hand, if you use the `Month` column, treat it as a *categorical* variable. + +#### Gentoo Penguins + +- If you are using the `Year` column, treat it as a *numeric* variable. +- The dataset has a column for the previous year's December temperature. Because counts of chicks took place in January or February (and nests were counted in October/November), the number of chicks is most likely to be related to the temperatures directly after chicks hatched (December of the previous year). + +#### Chinstrap Penguins + +- I do not recommend using the `MONTH` or `DAY` column. +- If you use the `YEAR` column, treat it as a *numeric* variable. + +------------------------------------------------------------------------ + +## Writing a Research Question + +3. For each of the columns in your dataset, identify whether they contain categorical or numeric data. + + *NOTE! Some data, such as dates (month, year), can act as both types of data. See the section above for clarification about columns in your chosen dataset.* + + Type out the name of the column and then the descriptor. For example: + + - island_name: categorical + - island_size_km: numeric + +*Answer*: + +In order to write a successful research question, we need to identify our *dependent* variable and the *independent* variable that we think affects the dependent variable. + +4. First, determine which variable is the *dependent* variable in your dataset. Remember, it must be *numeric*. + +*Answer*: + +5. Next, choose 1 *independent* variable from your dataset (each dataset has more than one from which to choose). This should be a variable that you believe might affect the values of the dependent variable. It can be either categorical OR numeric. + +*Answer*: + +6. Now, let's put those 2 variables into a research question. + +*Answer*: + +## Summarize the Data + +Let's get to know our data a little better. + +7. Focus on your *dependent* variable. Calculate the minimum value (`min()`), maximum (`max()`) value, and average (`mean()`) value using the `tidyverse` functions (you might need `na.rm = TRUE`!). + +- If your research question has a *categorical* independent variable, use the `group_by` function to find the above values of your dependent variable for each category of the independent variable +- If your research question has a *numeric* independent variable, calculate the minimum, maximum, and mean values for the independent variable in addition to the dependent variable + +```{r} + + +``` + +## Plot the Data + +------------------------------------------------------------------------ + +### Important Instructions and Info! + +(a) You can use *any* variable from the dataset, not only the ones in your research question. In fact, you will *need* to use different variables to successfully create all of the plots. + +(b) For *all* of the plots below, be sure to add: + + - improved labels for the x-axis, y-axis, and the legend (if present) + - one of the following themes to your code: `theme_bw`, `theme_classic`, or `theme_light`. + +(c) For each question, ***you get to choose the variables you use for each plot!*** Pay attention to which variables are numeric vs. categorical and where they should go in the code to produce the correct type of plot. + +(d) Because I'm having you choose your own variables, there is no Answer Key for this assignment. + +(e) Each plot is worth 2 points. Your interpretation is worth 1 point. Some of your plots may be hard to interpret. That's ok! In that case, explain why the plot is challenging to interpret. + +------------------------------------------------------------------------ + +#### STOP! Did you read the "Important Instructions and Info" section above? + +8. Produce a histogram plot (just one, not multiple on the same plot). + + Write 1-2 sentences describing what information you can gather from plot. (2 points for plot, 1 for description) + +```{r} +#| warning: false + +``` + +*Answer:* + +9. Create a multiple histogram plot. Make sure we can see each histogram plot (make sure one isn't blocking another by modifying the transparency and position). + + Write 1-2 sentences describing what information you can gather from plot. (2 points for plot, 1 for description) + +```{r} +#| warning: false + +``` + +*Answer:* + +10. Create a box-and-whisker plot. Changing the color of the boxes is optional. Make sure to add points to the plot. + + Write 1-2 sentences describing what information you can gather from plot. (2 points for plot, 1 for description) + +```{r} +#| warning: false + +``` + +*Answer:* + +11. Create a scatter plot. + + Write 1-2 sentences describing what information you can gather from plot. (2 points for plot, 1 for description) + +```{r} +#| warning: false + +``` + +*Answer:* + +------------------------------------------------------------------------ + +12. Do any of the plots you made above match up with your research question? + +- If so, identify which plot and explain how you know it matches up correctly (based on numeric vs. categorical variables). +- If not, explain which plot type *would* match your research question and how you know (based on numeric vs. categorical variables). + +*Answer*: + +# Turning in Your Assignment + +1. Make sure your name is filled in at the top of the document. +2. Click the **Render** button at the top of this document. This will produce a PDF that opens in a new tab and also saves to the Files panel on the bottom-right of your screen. +3. To download the PDF from Posit Cloud, click the empty box to the left of the PDF file in the Files panel. +4. Click the blue gear at the top of the Files panel and choose Export. +5. Put your last name at the front of the file name when prompted, then click Download. The PDF is now in your Downloads folder. \ No newline at end of file diff --git a/modules/module_2/module2_1.qmd b/modules/module_2/module2_1.qmd index 68cafb9..4251d4c 100644 --- a/modules/module_2/module2_1.qmd +++ b/modules/module_2/module2_1.qmd @@ -1,107 +1,141 @@ --- -title: "2.1: Introduction to Descriptive Statistics and Data Visualization" +title: "2.1: Good Food Gone Bad" +authors: "Keaton Wilson, Ellen Bledsoe" +format: + html: + toc: true --- -## Learning Outcomes +```{r} +#| include: false +knitr::opts_chunk$set(echo = TRUE) +``` -- Students will be able to apply basic data science knowledge to find the cause of a real-world scenario--food poisoning! -- Students will be able to generate two types of plots using base R syntax to visualize a single continuous variable (histograms and distributions) and two continuous variables (scatter plots). -- Students will be able to use visual-thinking skills to create visualizations that allow them to explore patterns in data, draw inferences, and create solutions. +# Descriptive Statistics and Data Visualization + +## Learning Outcomes -## Introduction to The Problem +1. Students will be able to apply basic data science knowledge to find the cause of a real-world scenario: food poisoning! +2. Students will be able to generate two types of plots using base R syntax to visualize a single continuous variable (histograms and distributions) and two continuous variables (scatter plots). +3. Students will be able to use visual-thinking skills to create visualizations that allow them to explore patterns in data, draw inferences, and create solutions. -![](assets/aquaponics-system.png) +## Introduction to the problem We have a wave of people getting sick across the team. People are coming in complaining of stomach sickness. Doctors have ruled out a communicable viral infection like norovirus, so it seems likely to be a food contamination issue. -The two main sources of food that are grown on site and distributed to team members are [plants grown in hydroponic greenhouses](https://thespoon.tech/scientists-in-antarctica-grow-food-without-soil-or-sunlight-get-ready-mars/) (mostly Swiss chard, cucumbers, and radishes) and fish (tilapia --- a tolerant warm-water species --- and rainbow trout --- a cold-water species). The combination of aquaculture and hydroponics is called [**aquaponics**](https://docs.google.com/presentation/d/12Q1wIMO-b5ZfylHnA4dOsaLUBERtvVREzwQuO7Sc53A/edit?usp=sharing). +The two main sources of food that are grown on site and distributed to team members are [plants grown in hydroponic greenhouses](https://thespoon.tech/scientists-in-antarctica-grow-food-without-soil-or-sunlight-get-ready-mars/) (mostly Swiss chard, cucumbers and radishes) and fish (tilapia, a tolerant warm-water species, and rainbow trout, a cold-water species). The combination of aquaculture and hydroponics is called [**aquaponics**](https://docs.google.com/presentation/d/1vxVtKe9MaTXDrB1u9vGsbdYkJylWlPMm/edit?usp=sharing&ouid=103537286572390245832&rtpof=true&sd=true). + +![](assets/aquaponics-system.png){width="60%" fig-align="center"} Team members' diets vary in composition; people are allowed to choose how much of different food sources they eat. Fortunately, we have some data we can use to investigate! We have data on the following: -- Which team members are sick and how many times they've gone to the doctor -- Some information about each team member, such as: - - Sex, age, height, occupation - - How much fish and/or plant material they incorporate into their diets +- which team members are sick and how many times they've gone to the doctor +- some information about each team member, such as: + - sex, age, height, occupation + - how much fish and/or plant material they incorporate into their diets -### Group Discussion +## The Data -How might we figure out what is causing the problem? Try to focus on potential solutions that involve the data we already have (listed above). +First we're going to pull in the data and give it a quick inspection/exploration before we start. -Spend 5 minutes brainstorming in your groups how you might figure out whether plants or fish are the culprits? Be ready to report out. +As usual, we start by calling the `tidyverse`. -## Descriptive Statistics and Data Visualization +```{r} +#| message: false +library(tidyverse) +``` -In order to begin addressing the question of what might be causing illness in our crew (and lots of other questions!), we often want to start with *descriptive statistics* and *data visualization*. +To bring our data into R, we use a function called `read_csv()`. CSV (comma-separated values) are efficient ways to save 2-dimensional ("spreadsheet") data. -In this course, we will be working with two types of statistics: *descriptive* and *inferential*. +```{r} +sick <- read_csv("data/sick_data.csv") +head(sick) +``` -- **Descriptive** statistics --- also called **summary** statistics --- are ways of presenting, organizing, and summarizing data. Data visualization is often associated with descriptive statistics -- **Inferential** statistics help us draw reasonable conclusions about a population based on the data we observed in a sample. +Let's talk about the data we have: -In Module 2, we will be focusing exclusively on descriptive statistics and data visualization techniques. +- How many observations (rows) do we have? +- What type of information does a single row represent? +- How many variables (columns) do we have? -As a quick overview, descriptive statistics often include 3 elements: +Which variables are we particularly interested in? Are they continuous or categorical? Does it matter? -- ***Distribution*** of the data -- Measures of ***central tendency***: mean, median, and mode -- Measures of ***variation***: range and standard deviation +::: instructor-only +**Instructor Note:** Each row represents one team member. The character columns are `last`, `first`, `sex`, and `specialties`; the numeric columns are `age`, `height_cm`, `weight_kg`, `perc_fish`, `perc_plant`, and `doctor_trips`. -The slide deck with more information about descriptive statistics is linked [here](https://docs.google.com/presentation/d/1pAnGupJqgU5t7YucGwMsbAdusoplY4GcJMdOWCic4hs/edit?usp=sharing). +The key variables for this lesson are `perc_fish`, `perc_plant`, and `doctor_trips`. Point out that `perc_fish` and `perc_plant` are **proportions** (0 to 1), not percentages (0 to 100). Row 1 shows `perc_fish = 0.994` and `perc_plant = 0.006`, which sum to 1. Students may call them "percent" informally, which is fine, but make sure they understand the scale when interpreting plots. -For a nice overview of descriptive statistics, check out [this website](https://www.scribbr.com/statistics/descriptive-statistics/) I showed in class. It goes a bit further than we go in this class, but it is a nice place to review! +`doctor_trips` is a count (discrete) but is treated as continuous for the purposes of scatter plots here. This is worth a brief mention if students ask. +::: -## The Data +### Group Discussion -First we're going to pull in the data and give it a quick inspection/exploration before we start. +How might we figure out what is causing the problem? Try to focus on potential solutions that involve the data we already have. -As usual, we start by calling the `tidyverse`. +Spend 5 minutes brainstorming in your groups how you might figure out whether plants or fish are the culprits. Be ready to report out. -```{r, message=FALSE, warning=FALSE} -# Open up the library -library(tidyverse) -``` +Write a research question with a dependent variable and an independent variable. -To bring our data into R, we use a function called `read_csv()`. CSV (comma-separated values) are efficient ways to save 2-dimensional ("spreadsheet") data. +::: instructor-only +**Instructor Note:** Students should land on the idea of comparing doctor visits against fish consumption vs. plant consumption. Guide them toward thinking about the dependent variable (doctor visits / sickness) and independent variables (percent fish, percent plant). The goal of this discussion is to motivate the scatter plot they will build later in the lesson. +::: -```{r, message=FALSE, warning=FALSE} -# Put data in Environment -sick <- read_csv("data/sick_data.csv") +## Descriptive Statistics and Data Visualization -# View first few rows -head(sick) -``` +In order to begin addressing the question of what might be causing illness in our crew (and lots of other questions!), we want to start with *descriptive statistics* and *data visualization*. -How many observations (rows) do we have? How about variables (columns)? +In this course, we will be working with two types of statistics: *descriptive* and *inferential*. -Which variables are we particularly interested in? Are they continuous or categorical? Does it matter? +- **Descriptive** statistics, also called **summary** statistics, are ways of presenting, organizing, and summarizing data. +- **Inferential** statistics help us draw reasonable conclusions about a population based on the data we observed in a sample. + +In Module 2, we will be focusing exclusively on descriptive statistics and data visualization techniques. + +As a quick overview, descriptive statistics often include 3 elements: + +- *distribution* of the data +- measures of *central tendency*: mean, median, and mode +- measures of *variation*: range and standard deviation + +For a nice overview of descriptive statistics, check out [this website](https://www.scribbr.com/statistics/descriptive-statistics/). It goes a bit further than we cover here, but it is a great place to review! ### Let's Practice Now that we have a more formalized understanding of measures of central tendency and measures of variation, let's put them into use to learn a little bit more about our data. In small groups, calculate the mean (`mean()`) and standard deviation (`sd()`) for the percent fish in our sick crew's diets. -```{r, message=FALSE, warning=FALSE} -# Find mean and standard deviation of %fish in people's diets +```{r} +# Write your code here + +``` + +::: instructor-only +**Answer:** + +```{r} sick %>% - summarize(mean_fish = mean(perc_fish), - sd_fish = sd(perc_fish)) + summarize(mean_fish = mean(perc_fish, na.rm = TRUE), + sd_fish = sd(perc_fish, na.rm = TRUE)) ``` +**Instructor Note:** This is a good moment to ask students what `na.rm = TRUE` does and why it might be necessary. They saw this in module 1.3. +::: + ## Data Visualization in R Combining data visualization with descriptive statistics is a great way to understand our data! There are two main ways to make data visualizations in R: through base R, which is the syntax we learned in our first week of coding, and through `ggplot2`, which is a package in the `tidyverse`. -For the majority of the semester, we will be plotting in with `ggplot2`, which is a fun and powerful tool. However, to plot even a simple plot, `ggplot2` takes some explanation. We will talk about `ggplot2` in our next class but for today, let's first make some quick-and-dirty plots in base R. +For the majority of this course, we will be plotting with `ggplot2`, which is a fun and powerful tool. However, to plot even a simple plot, `ggplot2` takes some explanation. We will cover `ggplot2` in the next lesson. For now, let's make some quick plots in *base R*. ### Histograms We've calculated some descriptive statistics about the percents of fish and plants in our sick crew members' diets, but it didn't tell us too much. Let's try some data visualization to see if that gives us any additional information. -```{r, message=FALSE, warning=FALSE} -# Histogram in base R +```{r} +# histogram in base R hist(sick$perc_plant) ``` @@ -117,16 +151,24 @@ Discuss this histogram with your group members. Some questions to consider: Take about 5 minutes. Be ready to report out. +::: instructor-only +**Instructor Note:** Key takeaways: a histogram shows the distribution of a single continuous variable, in this case, what proportion of the crew eats various amounts of plants. The histogram alone can't tell us whether plants are causing illness, because it doesn't show any relationship with sickness. Use this to motivate the need for a two-variable plot (scatter plot), which comes next. +::: + ### Group Brainstorm -We've covered one type of visualization that just shows one variable...but what we're really interested in is figuring out if fish or plants are the culprit in food poisoning. Spend about 5 minutes in your groups sketching out a visualization that might give us insight into this. +We've covered one type of visualization that shows one variable at a time... but what we're really interested in is figuring out if fish or plants are the culprit in food poisoning. Spend about 5 minutes in your groups sketching out a visualization that might give us insight into this. + +::: instructor-only +**Instructor Note:** Students should land on something like a scatter plot or bar chart comparing food consumption against doctor visits. Accept any reasonable idea and use it to transition into the scatter plot section. +::: -### Scatter plots +## Scatter plots Scatter plots allow us to visualize the relationship between two continuous (or numeric) variables. For example, we can use a scatter plot to see if there is a relationship between how old a crew member is and how much fish is in their diet. -```{r, message=FALSE, warning=FALSE} -# Scatter plot in base R +```{r} +# scatter plot in base R plot(x = sick$age, y = sick$perc_fish) ``` @@ -134,11 +176,27 @@ This isn't super informative, because there isn't really a relationship between ### Building and Interpreting -In your group, create a scatter plot to determine whether there is a correlation between the percentage of fish eaten and the number of trips to the doctor in the past 6 months. +Create a scatter plot to determine whether there is a correlation between the percentage of fish eaten and the number of trips to the doctor in the past 6 months. + +```{r} +# Write your code here -```{r, message=FALSE, warning=FALSE} -# Another scatterplot in base R +``` + +::: instructor-only +**Answer:** + +```{r} plot(x = sick$perc_fish, y = sick$doctor_trips) ``` +::: + +How do we interpret this plot? What does the pattern tell us about the relationship between fish consumption and illness? + +::: instructor-only +**Instructor Note:** The plot shows a clear positive relationship. Team members with a low proportion of fish in their diet have low doctor visits. As fish proportion increases, doctor visits jump. + +Key discussion questions: - What would this plot look like if there were *no* relationship? (Points scattered randomly with no directional trend) - What would it look like if *plants* were the culprit instead? (The pattern would flip, high `perc_plant` values would pair with high doctor trips, but since `perc_fish` and `perc_plant` sum to 1, this plot would actually show the opposite pattern) - Does this plot prove fish is contaminated? (No, it shows correlation, not causation. We haven't done any statistical testing yet. This is a good preview of what Module 3 will cover) -How do we interpret this plot? +Close by connecting back to the research question students wrote at the start of the lesson. Did their data support or contradict what they predicted? +::: \ No newline at end of file diff --git a/modules/module_2/module2_2.qmd b/modules/module_2/module2_2.qmd index 3008a4e..3c2d3c8 100644 --- a/modules/module_2/module2_2.qmd +++ b/modules/module_2/module2_2.qmd @@ -1,164 +1,153 @@ --- -title: "2.2: Writing Functions" +title: "2.2: Plotting with `ggplot2`" +authors: "Ellen Bledsoe" +format: + html: + toc: true --- -## Learning Outcomes - -- Students will be able to apply fundamental components of the biology of recirculating aquaculture systems to hypothesize how these components could lead to unhealthy fish. -- Students will be able to write custom functions that perform simple tasks. -- Students will be able to describe the utility of iteration. - -## Aquaculture, Immunology, and Disease +```{r} +#| include: false +knitr::opts_chunk$set(echo = TRUE) +``` -What is aquaculture anyway, and how might it contribute to disease? Here's a link to the [presentation](https://docs.google.com/presentation/d/1CciKgqhu9WhS3x-YaTgEF15B0TefFhqevufThvmEfSk/edit?usp=sharing). +# Intro to `ggplot2` -### Data Exploration +## Learning Outcomes -Given the correlation we found earlier, it does seem like the fish are our likely culprit. +- Students will be able to describe the structure of a `ggplot2` plot. +- Students will be able to build a scatter plot using `ggplot2` by adding layers. +- Students will be able to label axes and apply a theme to improve plot readability. -Since we've narrowed down the issue, we should ask our aquaculture specialists to provide us with some data about the tanks. +So far, we've used the base R plotting syntax. While quick plots in base R can still be really useful ways to do preliminary data exploration and visualization, we often want plots that go beyond the basics without too much additional effort. This is where `ggplot2` comes in and really shines! -#### Group Brainstorm +## Example -Based on what we know about aquaculture systems, what types of data should we ask for to get to the bottom of this issue? Spend about 3 minutes brainstorming with your group and be ready to report back. +Before we get into the nitty-gritty of how `ggplot2` works, let's run an example using the data about our sick crew members from earlier. -### The Data We Have +First, we need to load in both the `tidyverse` package and our data. We can remind ourselves what the data look like using the `head()` function. -```{r, message=FALSE, warning=FALSE} -# Load the tidyverse +```{r} +#| message: false +# load package library(tidyverse) -# Read in the data -tank_data <- read_csv("data/fish_tank_data.csv") - -# Look at the data -glimpse(tank_data) +# load data +sick <- read_csv("data/sick_data.csv") +head(sick) ``` -### Discussion of the problem - -Trout are a cold-water species whereas tilapia are a warm-water species. After doing some reading, we've come up with some critical values for each species. - -Water temperatures below 59º F for trout and below 75º F for tilapia are critically low temperatures and can result in suppression of the immune system. - -Great, we now know what the critical temperature cutoffs are for both species --- but there's a problem. The cut-off temperatures that we have are in Fahrenheit but the temperature values in our data frame are in Celsius. - -Our goal with this data is to ascertain if any of the tanks are below the critical temperature. Before we can do this, though, we need to convert tank temperatures from Celsius to Fahrenheit. Luckily for us, we've already done this before! (Hint: remember the `mutate()` function?). - -Now, we are going to run through a slightly different way to accomplish this task. It still involves `mutate()`, but we need to take some additional steps first before we use it. - -## Custom Functions - -We've already used functions a lot in this class, and it turns out that we can write our own functions to perform specific tasks. - -This has lot of varied uses and can be very powerful. The key takeaway here, though, is that we can write a function that converts Celsius to Fahrenheit and apply it to our entire data set in a few lines of code. +Here is code to make a scatter plot of the relationship between proportion of fish in diets and how many trips to the doctor. -### General Syntax Example +```{r} +ggplot(sick, aes(x = perc_fish, y = doctor_trips)) + + geom_point() + + labs(x = "Proportion of Fish in Diet", + y = "Number of Trips to the Doctor") + + theme_light() +``` -Making a function involves creating local variables that act as a stand-in for the values you want to use later on. In the case below, our local variables are `x`, `y`, and `z`. You can see that they are local because they only circulate within the function and are not being pulled in from outside. However, once we are done defining our function we can assign values to the input variables (in this case, `x` and `y`) that the function will do its magic with. You can see this in the example chunk below, where `x = 2` and `y = 4`. All manipulations done with the input variables are contained between the curly brackets ( `{ }` ), and of course, we signify the start a function with `function()`. +Nice, right? In the next few lessons, we will really start to see the power of `ggplot2`. For now, though, let's focus on how this works. -Function syntax follows the structure in the code chunk below, which can be viewed as: +## `ggplot2` -`name_of_new_function <- function(input1, input2){` +The package `ggplot2` is part of the `tidyverse`. -`what do you want to do with your input variables? (add, subtract, etc.)` +Here are some resources you might find helpful now or in the future: -`output <- input1 + input2` +- [ggplot2 Book](https://ggplot2-book.org/getting-started.html) +- [UC Business Analytics ggplot2 intro](https://uc-r.github.io/ggplot_intro) +- [R for Data Science Data Visualization chapter](https://r4ds.had.co.nz/data-visualisation.html) -`return(output)` +The `gg` in `ggplot2` stands for "Grammar of Graphics." The "grammar" part is based on an idea that all statistical plots have the same fundamental features: data and mapping (and specific components of mapping). -`}` +The design is that you work iteratively, building up layer upon layer until you have your final plot. -And we can see it in action here: +1) Specify the data -```{r, message=FALSE, warning=FALSE} -# General syntax -new_sum <- function(x,y){ - z <- x + y - return(z) -} +```{r} +#| fig-width: 4.5 +#| fig-height: 3 +ggplot(data = sick) -# Examples when using the new function -new_sum(x = 2, y = 4) -new_sum(2, 4) -new_sum(7, 19) +# ggplot() always starts by drawing a blank coordinate system. +# Nothing will appear until you add at least one geometric layer (a geom function). ``` -### Building Our Custom Function - -In your groups, build a custom function called `c_to_f()` that converts a single value of Celsius to Fahrenheit. Remember, the equation is `Celsius = Fahrenheit * (9/5) + 32`. Instead of two arguments like we have above (`x`, `y`), this function will only require one input value (`c`). +Most plots display data relative to two axes: the x-axis (horizontal) and the y-axis (vertical). -Be prepared to show your code and run some test values. +You will definitely want to memorize which axis is which! -```{r, message=FALSE, warning=FALSE} -c_to_f <- function(c = NULL){ - f <- (c * (9/5)) + 32 - return(f) -} +2) Specify the x-axis (horizontal) and the y-axis (vertical) in the `aes()` function. -c_to_f(c = 40) +```{r} +#| fig-width: 4.5 +#| fig-height: 3 +ggplot(data = sick, mapping = aes(x = perc_fish, y = doctor_trips)) ``` -### Thinking about Iteration - -So, we have a great function that we can use to convert a Celsius value to Fahrenheit, but how do we apply that to *every* value in the temperature column, not just one? We've built the function for one value, not for a whole vector of values... - -This is where `mutate()` comes in! As we've seen in the past, `mutate()` applies whatever function or mathematical formula we've given to it to each value in the column. It essentially is going row by row: applying the function or formula to one row, returning the new value in a new column, then moving to the next row to do the same. +3) Add the type of plot we want using a `geom` function. For a scatter plot, we use `geom_point()`. -```{r, message=FALSE, warning=FALSE} -# Let's first demonstrate applying our new function to a vector -# Only show the first 10 rows as well -head(c_to_f(tank_data$avg_daily_temp)) - -# Mutate is basically doing the same thing -tank_data <- tank_data %>% - mutate(avg_daily_temp_F = c_to_f(avg_daily_temp)) - -# View mutate() results -tank_data +```{r} +#| fig-width: 4.5 +#| fig-height: 3 +ggplot(data = sick, mapping = aes(x = perc_fish, y = doctor_trips)) + + geom_point() ``` -## Why Functions? - -We can easily fit the equation for converting from Celsius to Fahrenheit into a mutate call. We certainly didn't need to write our own function to do it. So why did we learn how to do that? +4) Clean up the axis labels with the `labs()` function so they are more easily interpreted. -### Main Ways to Iterate - -There are many different approaches to iterating in R, especially because we are typically working with vectorized data (columns in data frames). We will talk about the other options down the road. Today, we used #3, the `mutate()` function from the `tidyverse`. - -1. `for` loops -2. `apply`/`map` functions -3. using `dplyr` (`tidyverse`) functions - -### Filtering Our Data +```{r} +#| fig-width: 4.5 +#| fig-height: 3 +ggplot(data = sick, mapping = aes(x = perc_fish, y = doctor_trips)) + + geom_point() + + labs(x = "Proportion of Fish in Diet", + y = "Number of Trips to the Doctor") +``` -Thankfully, we've solved our first problem! However, we haven't yet answered the original question. +5) Choose a `theme` function to make the plot more aesthetically pleasing. + +```{r} +#| fig-width: 4.5 +#| fig-height: 3 +# theme_bw(), theme_classic(), and theme_light() are my favorites +ggplot(sick, aes(x = perc_fish, y = doctor_trips)) + + geom_point() + + labs(x = "Proportion of Fish in Diet", + y = "Number of Trips to the Doctor") + + theme_light() +``` -*Are any tanks are below the temperature cutoffs for each species? If so, how many?* +In Summary: -Let's tackle that question: +- we always start with the `ggplot()` function +- we specify the dataset we want to use +- we specify the mappings (x- and y-axes and some other bits) with the `aes()` function +- we use a `+` to add layers +- we specify the type of plot, or `geom` using one of many possible geom functions +- we use the `labs()` function to clean up the labels +- we add a `theme` function to make it more visually readable -```{r, message=FALSE, warning=FALSE} -# count() is a new function for most of us -# It does what it sounds like -- count the number of results +## Let's Practice -# Count number of tanks below temperature cutoff for TILAPIA -tank_data %>% - filter(species == "tilapia" & avg_daily_temp_F < 75) %>% - count() +Using the `sick` data, build a `ggplot2` scatter plot that shows the relationship between the proportion of plants in a crew member's diet (`perc_plant`) and their number of doctor trips (`doctor_trips`). Make sure to label your axes clearly and apply a theme. -# for TROUT -tank_data %>% - filter(species == "trout" & avg_daily_temp_F < 59) %>% - count() +```{r} +# Write your code here -# Let's introduce some additional syntax: "&" and "|" +``` -# Now we can get counts for both fish species in one go! -tank_data %>% - filter(species == "tilapia" & avg_daily_temp_F < 75 | - species == "trout" & avg_daily_temp_F < 59) %>% - group_by(species) %>% - summarize(n = n()) # Another way to get the count is summarize() with n() +::: instructor-only +**Answer:** +```{r} +ggplot(sick, aes(x = perc_plant, y = doctor_trips)) + + geom_point() + + labs(x = "Proportion of Plants in Diet", + y = "Number of Trips to the Doctor") + + theme_light() ``` + +**Instructor Note:** The plant plot shows the inverse pattern from the fish plot, higher plant consumption pairs with fewer doctor visits. Since `perc_fish` and `perc_plant` sum to 1, this is expected. This is a good moment to point out that both plots tell the same story from opposite angles, and to ask students which variable they think is actually driving the illness. +::: \ No newline at end of file diff --git a/modules/module_2/module2_3.qmd b/modules/module_2/module2_3.qmd index 81bd911..bfa9f4e 100644 --- a/modules/module_2/module2_3.qmd +++ b/modules/module_2/module2_3.qmd @@ -1,108 +1,119 @@ --- -title: "2.3: Plotting with `ggplot2`" +title: "2.3: Data Visualization" +authors: "Ellen Bledsoe" +format: + html: + toc: true --- -## Get to Know `ggplot2` +```{r} +#| include: false +knitr::opts_chunk$set(echo = TRUE) +``` -So far, we've used the base R plotting syntax. While quick plots in base R can still be really useful ways to do preliminary data exploration and visualization, we often want plots that go beyond the basics without too much additional effort. This is where `ggplot2` comes in and really shines! +# A Visualization Primer -## Example +## Learning Outcomes -Before we get into the nitty-gritty of how `ggplot2` works, Let's run an example using the data about our sick crew members from earlier. +- Students will be able to explain why data visualization is important. +- Students will be able to identify different types of data visualizations and describe when each is appropriate. +- Students will be able to match a dataset's structure to an appropriate visualization type. +- Students will be able to critique a visualization. -First, we need to load in both the `tidyverse` package and our data. We can remind oursevles what the data look like using the `head()` function. +## Why Does Data Visualization Matter? -```{r, message=FALSE, warning=FALSE} -# Load package -library(tidyverse) +### Small Groups -# Load data -sick <- read_csv("data/sick_data.csv") +As a group, take 5 minutes to compare your notes and come to a group consensus on your top 3 reasons why data visualization matters. Be sure to choose someone to report out! -# View first few rows -head(sick) -``` +::: instructor-only +**Instructor Note:** Some strong answers include: patterns in data become visible that are invisible in a table; complex information can be communicated quickly; visualizations help identify outliers and anomalies; they are essential for communicating findings to non-technical audiences; and they support exploratory data analysis before formal testing. +::: -Here is code to make a scatter plot of the relationship between percent fish in diets and how many trips to the doctor. +## Types of Visualization -```{r, message=FALSE, warning=FALSE} -# Scatterplot of % fish diet and # of doctor visits -ggplot(sick, aes(x = perc_fish, y = doctor_trips)) + - geom_point() + - labs(x = "Percent Fish in Diet", - y = "Number of Trips to the Doctor") + - theme_light() -``` +### Visual cues for communicating data -Nice, right? In the next few classes, we will really start to see the power of `ggplot`. For now, though, let's focus on how this works. +[Here](https://rafalab.dfci.harvard.edu/dsbook-part-1/dataviz/dataviz-principles.html) is a decent overview of some of the core concepts of data visualization. -## `ggplot2` +This website is pretty great and goes into a lot of detail about good practices in data visualization. If this is something that really piques your interest, it is well worth exploring further! -The package `ggplot2` is part of the `tidyverse`. +In this course, our main take-away from this website is the use of visual cues to communicate data and which ones are better than others. -Here are some resources you might find helpful now or in the future: +![](assets/data_viz_cues.jpg){width="50%"} -- [ggplot2 Book](https://ggplot2-book.org/getting-started.html) -- [UC Business Analytics ggplot2 intro](https://uc-r.github.io/ggplot_intro) -- [R for Data Science Data Visualization chapter](https://r4ds.had.co.nz/data-visualisation.html) +### Small group activity -The `gg` in `ggplot2` stands for "Grammar of Graphics." The "grammar" part is based on an idea that all statistical plots have the same fundamental features: data and mapping (and specific components of mapping). +In groups, discuss as many types of visualizations as you can think of. It's okay if you don't know what they are called! Make a quick list or draw them out if you prefer. -The design is that you work iteratively, building up layer upon layer until you have your final plot. +Types of data visualizations: -The typical structure looks like this: +We will talk more about how to choose the right visualization for your data now and also in the rest of the module. -```{r} -# ggplot(data = , mapping = aes()) + -# () -``` +::: instructor-only +**Instructor Note:** Students commonly name: bar charts, pie charts, line graphs, scatter plots, histograms. Accept any reasonable answer and write them on the board (if you have one). +::: -A few things to note: +### Data matching activity -- We always start with the `ggplot()` function -- We specify the dataset we want to use -- We specify the mappings (x- and y-axes and some other bits) with the `aes()` function -- We use a `+` to add layers -- We specify the type of plot, or `geom` using one of many possible geom functions -- We use the `labs()` function to clean up the labels -- We add a `theme` function to make it more visually readable +Complete the data matching activity with your group. Your instructor will provide the worksheet. -Let's iteratively build up to the plot we have made above: +Spend a few minutes seeing if you can match the data descriptions to the types of data visualizations. -1) Specify the data +Each “dataset” is pulled from the same overall dataset: measurements from 344 individual penguins from different species and on different islands over 3 years. Some datasets created multiple plots. -```{r fig.width=4.5, fig.height=3} -ggplot(data = sick) -``` +#### Data descriptions -2) Specify the x-axis (horizontal) and the y-axis (vertical) in the `aes()` function. +A. Penguin body mass and flipper lengths +B. Penguin flipper lengths +C. Penguin species and flipper lengths +D. Penguins body mass, species, and flipper lengths -```{r fig.width=4.5, fig.height=3} -ggplot(data = sick, mapping = aes(x = perc_fish, y = doctor_trips)) -``` +::: instructor-only +**Answers:** -3) Add the type of plot we want using a `geom` function. +1. A +2. C +3. C +4. B +5. C +6. D +::: -```{r fig.width=4.5, fig.height=3} -ggplot(data = sick, mapping = aes(x = perc_fish, y = doctor_trips)) + - geom_point() -``` +## Figure Critique -4) Clean up the axis labels with the `lab()` function so they are more easily interpreted. +First, read through [this blog post](https://humansofdata.atlan.com/2019/02/dos-donts-data-visualization/) on the "Dos and Don'ts of Data Visualization" -```{r fig.width=4.5, fig.height=3} -ggplot(data = sick, mapping = aes(x = perc_fish, y = doctor_trips)) + - geom_point() + - labs(x = "Percent Fish in Diet", - y = "Number of Trips to the Doctor") -``` +Now that you have some insights, let's critique these figures below. Yes, these are actual figures in the wild! -5) Choose a `theme` function to make the plot more aesthetically pleasing. My favorites are `theme_bw()`, `theme_classic()`, and `theme_light()`. +For each one, consider: -```{r fig.width=4.5, fig.height=3} -ggplot(sick, aes(x = perc_fish, y = doctor_trips)) + - geom_point() + - labs(x = "Percent Fish in Diet", - y = "Number of Trips to the Doctor") + - theme_light() -``` +- What aspects don't work? +- What aspects do work? +- How would you present this data differently? + +**Figure 1:** + +![](assets/image1.png){width="50%"} + +**Figure 2:** + +![](assets/image2.jpg){width="50%"} + +**Figure 3:** + +![](assets/image3.jpg){width="50%"} + +**Figure 4:** + +![](assets/image4.png){width="50%"} + +::: instructor-only +**Instructor Note:** These figures share several problems that are worth talking about: + +- Truncated axes exaggerate differences by not starting the y-axis at zero. The GNH gender gap looks dramatic visually but is only 0.079 on a 0–1 scale. +- Pie charts make proportion comparison difficult because humans are poor at judging angles. A bar chart is almost always clearer. +- 3D effects are adding visual distortion without adding information. 3D bars and cylinders make it impossible to accurately read values off an axis. +- Showing too many groups in the same overlapping plot makes it impossible to find meaning from any of them. +- Bins of unequal length in a histogram. +::: \ No newline at end of file diff --git a/modules/module_2/module2_4.qmd b/modules/module_2/module2_4.qmd index 825c7c6..cc89780 100644 --- a/modules/module_2/module2_4.qmd +++ b/modules/module_2/module2_4.qmd @@ -1,88 +1,375 @@ --- -title: "2.4: A Visualization Primer" +title: "2.4: Exploring `geom` Functions" +author: "Ellen Bledsoe" +format: + html: + toc: true --- -## Why Does Data Visualization Matter? +```{r} +#| include: false +knitr::opts_chunk$set( + echo = TRUE, + fig.width = 5, + fig.height = 4, + fig.align = "center" +) +``` -### Small Groups +# Plotting in `ggplot2` -As a group, take 5 minutes to compare your notes and come to a group consensus on your top 3 reasons. Be sure to choose someone to report out! +## Learning Outcomes -## Types of Visualization +- Students will be able to build histograms, multiple histograms, scatter plots, and box plots using `ggplot2`. +- Students will be able to select an appropriate plot type based on the number and type of variables. +- Students will be able to layer multiple `geom` functions in a single plot. +- Students will be able to use `aes()` arguments correctly to map variables to visual properties such as color and fill. +- Students will be able to add labels and a theme to a `ggplot2` plot. -### Visual cues for communicating data +## Data Visualization Types and When to Use Them -[Here](http://paldhous.github.io/ucb/2016/dataviz/week2.html) is a decent overview of some of the core concepts of data visualization. +Let's practice making different kinds of plots with various `geom` functions to see how they work. -This website is pretty great and goes into a lot of detail about good practices in data visualization. If this is something that really piques your interest, I encourage you to check it out! +```{r} +#| message: false +library(tidyverse) +fish <- read_csv("data/fish_sick_data.csv") +``` -In this course, our main take-away from this website is the use of visual cues to communicate data and which ones are better than others. +### Plotting in `ggplot2` -![](assets/data_viz_cues.jpg) +First, let's remind ourselves of the general structure of how we make plots using the `ggplot2` syntax. -### Small group activity +```{r} +# ggplot(data = , mapping = aes(x = , y = )) + + # geom_function() + + # labs() + + # theme() +``` -In groups, discuss as many all types of visualization that come to mind. It's okay if you don't know what they are called! Make a quick list or draw them out if you prefer. +## Histograms -Types of data visualizations: +As we covered in the previous lesson, histograms are plots that let us look at *one numeric variable.* -[This website](https://www.data-to-viz.com/) is an amazing reference for data visualization methods and when to use what. It also has examples of each type plotted in `ggplot2`. +They help us get a feel for the distribution of that data. To make histograms in `ggplot2`, we use the `geom_histogram()` function. Let's look at the number of fish. -We will talk more about how to choose the right visualization for your data now and also in the rest of the module. +```{r} +ggplot(fish, aes(x = num_fish)) + + geom_histogram(bins = 20) -### Data matching activity +# we can change the number of bins (essentially the number of columns) by modifying the bins argument in the geom_histogram() function. +ggplot(fish, aes(x = num_fish)) + + geom_histogram(bins = 10) -Still in your groups, open the PDF called "data_viz_matching" +# we can also modify the colors! +ggplot(fish, aes(x = num_fish)) + + geom_histogram(bins = 20, fill = "lightblue", color = "black") +``` -Spend a few minutes seeing if you can match the data descriptions to the types of data visualizations. +### Let's Practice -Each "dataset" is pulled from the same overall dataset: measurements from 344 individual penguins from different species and on different islands over 3 years. Some datasets created multiple plots. +Make a histogram of the number of sick fish in the tanks. Create the histogram with 10 bins (10 groupings). -A. Penguin body mass and flipper lengths -B. Penguin flipper lengths -C. Penguin species and flipper lengths -D. Penguins body mass, species, and flipper lengths +```{r} +# Write your code here -### Matches +``` -1. +::: instructor-only +**Answer:** -2. +```{r} +ggplot(fish, aes(x = num_sick)) + + geom_histogram(bins = 10) +``` +::: -3. +## Multiple Histograms (with `geom_histogram()`) -4. +When we create a multiple histogram, we have to add one additional argument to `geom_histogram()`. Let's see what happens if we just specify `fill`. -5. +```{r} +ggplot(fish, aes(x = num_fish, fill = species)) + + geom_histogram(bins = 10) +``` -6. +What is happening in the column with both green and red? Perhaps the teal histogram is in front of the red histogram and is blocking us from seeing some red? -See the PowerPoint on D2L for full details! +Let's change the transparency using an argument called `alpha`, which allows us to make layers transparent. The scale for `alpha` goes from 0 (completely transparent) to 1 (not transparent at all). -## Figure Critique +We can set the transparency to 0.5 to see if there is any overlap. -First, read through [this blog post](https://humansofdata.atlan.com/2019/02/dos-donts-data-visualization/) on the "Dos and Don'ts of Data Visualization" +```{r} +ggplot(fish, aes(x = num_fish, fill = species)) + + geom_histogram(bins = 10, alpha = 0.5) +``` -Now that you have some insights, let's critique these figures below. Yes, these are actual figures in the wild... +Not too much changed. It still doesn't look like we can see any red points behind the teal. Perhaps the teal values and red values are stacked on top of one another? -- What aspects don't work? -- What aspects do work? -- How would you present the data? +Let's take a look at what happens when we add the argument `position = "identity"`. -**Figures:** +```{r} +ggplot(fish, aes(x = num_fish, fill = species)) + + geom_histogram(bins = 10, alpha = 0.5, position = "identity") +``` -1. +Aha! This is different from above. Instead of red being stacked vertically on top of teal, we can now see that the red values start at 0 on the y-axis and are overlapping with the teal. -![](assets/image1.png) +The `position = "identity"` argument tells `geom_histogram()` to plot the data for each group starting from 0 in the y-axis rather than stacking values from the same group, which is the default. -2. +Any time we create a multiple histogram, we need to add transparency and `position = "identity"`; if we don't, we risk missing overlap between groups! -![](assets/image2.jpg) +### Let's Practice! -3. +Make a multiple histogram of the number of sick fish per species. Make sure your plot has 10 bins, is partially transparent, and the data are *not* stacked. -![](assets/image3.jpg) +```{r} +# Write your code here -4. +``` -![](assets/image4.png) +::: instructor-only +**Answer:** + +```{r} +ggplot(fish, aes(x = num_sick, fill = species)) + + geom_histogram(bins = 10, alpha = 0.5, position = "identity") +``` +::: + +------------------------------------------------------------------------ + +### The powerful and pesky `aes()` function + +A quick note about the `aes()` function. It's one of the more confusing bits of `ggplot2`. + +When should you put `color` (or `size`, `linetype`, `fill`, etc.) inside the `aes()` function versus in the `geom` function outside of `aes()`? Looking back at the multiple histogram plots, why did `fill` go inside `aes()` but `alpha` went outside? + +Essentially, it boils down to this: + +- if you want something (color, size, etc.) on your plot to change based on a **variable** from a data frame, you will want to put the argument *within* the `aes()` function. + +- if you want something (color, size, etc.) on the plot to be **constant**, you will specify it *outside* of the function. + +For some additional examples and explanation, check out [this Stack Overflow page](https://stackoverflow.com/questions/41863049/when-does-the-argument-go-inside-or-outside-aes). + +------------------------------------------------------------------------ + +## Scatter Plot + +As a reminder, we use the `geom_point()` function to make a scatter plot of the relationship between *two numeric variables*. + +```{r} +ggplot(fish, aes(avg_daily_temp, num_fish)) + + geom_point() +``` + +### Let's Practice: Multiple Scatterplot + +Using what you've learned about making histograms, see if you can create a "multiple scatterplot," where the color of the points are determined by the fish species. + +*Hint: you'll want to use an argument called `color`*. + +```{r} +# Write your code here + +``` + +::: instructor-only +**Answer:** + +```{r} +ggplot(fish, aes(avg_daily_temp, num_fish, color = species)) + + geom_point() +``` +::: + +## Box-and-Whisker Plots + +Box-and whisker-plots (also known as box plots) are another great option for looking at one *numeric* variable and one or more *categorical* variables. They are particularly nice when you want to see measures of central tendency and variation in the same plot. + +Let's build one and then talk through what each component means. We use `geom_boxplot()` to make these types of plots. + +```{r} +ggplot(fish, aes(species, num_fish, color = species)) + + geom_boxplot() +``` + +So what does the box represent? And the whiskers? + +- the **box** represents the *middle 50% of the values* in the data set. +- the line that runs through the middle of the box represents the *median (**middle value**)* of the data +- the **whiskers** extend to 1.5 times the height of the box (the interquartile range) in each direction, giving a sense of the overall spread of the data +- values that fall outside of the whiskers can be considered outliers and are plotted individually + +### Layering + +One of the beautiful parts of working with `ggplot2` is that you can add multiple layers to each plot. + +One of the key things missing from box-and-whisker plots is any indication of how many data points we have. In the plot above, there could be 5 tanks per species or 500 tanks per species. + +How can we add an indication of how many points there are? We can layer each individual data point on top of the boxes! + +```{r} +ggplot(fish, aes(species, num_fish, color = species)) + + geom_boxplot() + + geom_point(alpha = 0.5) +``` + +This is nice, but there is still some overlap in points that makes it hard to see exactly how many points there are. + +The `geom_jitter()` function is a special version of `geom_point()`. It adds a little bit of randomness to the points (both horizontally and vertically) so that they don't overlap as much. + +We can control how much randomness we allow with the `width` and/or `height` arguments. A good starting point is to leave `height` at its default and set `width` to 0.1. + +```{r} +ggplot(fish, aes(species, num_fish, color = species)) + + geom_boxplot() + + geom_jitter(alpha = 0.5, width = 0.1) +``` + +That is looking really nice! We can keep improving it, though, with better labels for the axes and the legend as well as a nice `theme`. + +```{r} +ggplot(fish, aes(species, num_fish, color = species)) + + geom_boxplot() + + geom_jitter(alpha = 0.5, width = 0.1) + + labs(x = "Species", + y = "Number of Fish Per Tank", + color = "Species") + + theme_light() +``` + +------------------------------------------------------------------------ + +### `color` and `fill` + +We have used two different arguments in the `aes()` function to specify that we want the colors in our plots to change based on one of the columns in our dataset. + +#### `color` + +For the most part, the `color` argument refers to the color of the lines in a plot (e.g., in box plots, the colors of the lines change). + +The one exception is `geom_point()`, where `color` controls the color of the points themselves. + +#### `fill` + +When there is space that we want to fill in with color depending on the values in a column, we want to use the `fill` argument. + +For histograms, the `fill` argument changes the color inside the bins. If we use `color` in a histogram instead, only the outlines of the columns will change, but the columns will remain filled with gray. + +In boxplots, the inside area of the box will be filled with color, but the lines will stay black. + +### In Labels + +If we have specified either `color` or `fill` (or both) in the `aes()` function, `ggplot` will automatically create a legend for us. The key is determined by whichever argument we used. + +So, if you use the `color` argument in the `aes()` function, you would want to use the `color` argument in the `labs()` function to change the title of the legend. If you used the `fill` argument, you would then use the `fill` argument in the `labs()` function. + +If you have both `color` and `fill` in `aes()`, you will need to add both arguments to the `labs()` function. If you give the same label to each, it will create one key. + +------------------------------------------------------------------------ + +### Let's Practice! + +Make 2 different types of plots with the same data: the average daily temperature of the tanks and fish species. + +First, think about the variables we are plotting. How many are there? Are they categorical or numeric? + +Based on those answers, determine which plot types you can produce for those variable types. + +Now, make your two plots! To each, add labels and a theme. + +```{r} +# Write your code here + +``` + +::: instructor-only +**Answer:** + +```{r} +# boxplot +ggplot(fish, aes(species, avg_daily_temp, color = species)) + + geom_boxplot() + + geom_jitter(alpha = 0.5, width = 0.1) + + labs(x = "Species", + y = "Average Daily Temperature (°C)", + color = "Fish Species") + + theme_bw() + +# histogram +ggplot(fish, aes(avg_daily_temp, fill = species)) + + geom_histogram(bins = 10, alpha = 0.5, position = "identity") + + labs(x = "Average Daily Temperature (°C)", + y = "Frequency", + fill = "Fish Species") + + theme_bw() +``` + +**Instructor Note:** Categorical variable (species) goes on the x-axis and the numeric variable goes on the y-axis. +::: + +Finished? Let's add another variable. Now, we want to plot average daily temperatures, the number of sick fish, and the fish species. Work through the same steps as above — how many variables are there, what types are they, and which plot type makes sense? + +```{r} +# Write your code here + +``` + +::: instructor-only +**Answer:** + +```{r} +ggplot(fish, aes(avg_daily_temp, num_sick, color = species)) + + geom_point(alpha = 0.5) + + labs(x = "Average Daily Temperature (°C)", + y = "Number of Sick Fish per Tank", + color = "Fish Species") + + theme_light() +``` + +**Instructor Note:** Three variables: two numeric (avg_daily_temp, num_sick) and one categorical (species). A scatter plot is the right choice, two numeric variables on the axes, categorical variable mapped to color. +::: + +# Summary + +Let's summarize some of what we've learned in this lesson + +## Data Visualization Types and When to Use Them + +### Histogram + +Good for looking at the distribution of one numeric variable + +- one numeric variable (x-axis) + +### Multiple Histogram + +Good for looking at differences in the distributions of one numeric variable based on a categorical variable + +- one numeric variable (x-axis) +- one categorical variable via the `fill` or `color` argument in the `aes()` function +- we always want to add transparency (`alpha`) and, for histograms, `position = "identity"` + +### Scatter Plot + +Good for looking for the relationship between two numeric variables + +- two numeric variables (x-axis and y-axis) +- can add in a categorical variable via `aes()`, but the main relationship is between the two numeric variables + +### Box Plot + +Good for looking at measures of central tendency and variation for a numeric variable and the differences between those measures between categories + +- one numeric variable (y-axis) +- at least one categorical (x-axis and additional via `aes()`) + +## Layering + +We can add multiple layers to ggplots, which is part of what makes them so useful! + +- we can add multiple `geom` functions to a single plot +- we use the `labs()` function to rename axes labels and legends +- we use a `theme` function to make the plot more aesthetically pleasing and easier to understand \ No newline at end of file diff --git a/modules/module_2/module2_5.qmd b/modules/module_2/module2_5.qmd index 225232f..3f4eda3 100644 --- a/modules/module_2/module2_5.qmd +++ b/modules/module_2/module2_5.qmd @@ -1,260 +1,201 @@ --- -title: "2.5: Sick Fish" +title: "2.5: Module 2 Wrap-Up" +author: "Ellen Bledsoe" +format: + html: + toc: true --- -## Scenario - -Here is our current scenario. - -**What we know**: We found a correlation between eating fish and people getting sick, but that isn't really the root of the problem. We have also found that a number of tanks are below the average temperature that might cause issues with fish immune systems. +```{r} +#| include: false +knitr::opts_chunk$set(echo = TRUE) +``` -**What we don't know**: We don't actually know if rates of disease are present above average levels in the tanks, and we definitely don't know what kinds of factors are contributing to this problem (if there is one!). +# What is causing the food poisoning? -Our first challenge is that we can't sample the disease rate in all tanks. It's too expensive and takes too long. Instead of sampling all 1000 tanks, we've tasked our aquaculture scientists to take a sub-sample (50 tanks). Our aquaculture scientists have shared this data with us. +## Learning Outcomes -Let's scope it out: +- Students will be able to apply descriptive statistics and data visualization skills to investigate a problem. +- Students will be able to create a new variable using `mutate()`. +- Students will be able to use `group_by()` and `summarize()` to compare groups. +- Students will be able to select and interpret appropriate plot types to identify patterns across environmental variables. -```{r, message=FALSE, warning=FALSE} -# Load tidyverse -library(tidyverse) +At the beginning of Module 2, we set out to discover what was causing food poisoning among our colleagues at our Antarctic base. Let's put everything we've learned about descriptive statistics and data visualization to use to try to hunt down what the problem is. -# Load data -sick_fish <- read_csv("data/fish_sick_data.csv") +## Set-up -# View first few rows -head(sick_fish) -``` +Let's load the package and data we will need. -Oh no, we might need to add a Fahrenheit column... let's practice. +### Packages ```{r} -# Make temperature conversion function -c_to_f <- function(c = NULL){ - f <- (c * (9/5)) + 32 - return(f) -} - -# Convert temperatures and put converted value in a new column -sick_fish <- sick_fish %>% - mutate(avg_daily_tempF = c_to_f(avg_daily_temp)) +#| message: false +library(tidyverse) ``` -## Data Exploration - -One of the best ways to get an idea of what our data look like and are telling us is by calculating some summary statistics. - -### Group Challenge +### Data -Let's use the `tidyverse` to calculate some summary statistics for the data we have been given. - -Write some code that produces the following values *per species*. - -- Mean (average) number of sick fish -- Mean (average) percentage of sick fish per tank -- How many tanks +First, we need our dataset! ```{r} -sick_fish %>% - group_by(species) %>% - summarize(mean_sick = mean(num_sick), # mean number of fish - mean_perc = mean(num_sick/num_fish), # mean percent of fish - n = n()) # counts +#| message: false +sick_fish <- read_csv("data/fish_sick_data.csv") ``` -Summary statistics (such as means) are helpful for giving us some ideas about our data, but they don't tell us the full story. Plotting data can give us some additional insights. - -Before we plot, let's create two different data frames: one for tilapia and one for trout. +Let's check out our data and remind ourselves what we are working with. ```{r} -# New data frame for just tilapia -sick_tilapia <- sick_fish %>% - filter(species == "tilapia") - -# New data frame for just trout -sick_trout <- sick_fish %>% - filter(species == "trout") +head(sick_fish) ``` -Now, let's plot our data to get an idea of the distribution (spread) of the data. What might the distribution of the data tell us that an average can't? - -We can make histograms to see if there are some tanks that have a lot of sick fish and are increasing this average or if most of the tanks seem to have about the same number of sick fish. +## Which Fish? -What would these two different scenarios tell us? +In the previous lesson, we plotted the number of sick fish. Let's remind ourselves what that looked like. Make a plot that compares the numbers of sick fish per species. We actually have a few options! ```{r} -# Sick tilapia histogram -hist(sick_tilapia$num_sick) +# Write your code here -# Sick trout histogram -hist(sick_trout$num_sick) ``` -Let's compare values from tanks which are below the temperature cutoffs to those which are above the cutoffs to see if there are major difference or we can figure out some answers. +::: instructor-only +**Answer:** -## Using the `if_else()` function +```{r} +ggplot(sick_fish, aes(num_sick, fill = species)) + + geom_histogram(alpha = 0.5, position = "identity", bins = 10) + + labs(x = "Number of Sick Fish in Tanks", + y = "Frequency", + fill = "Species") + + theme_classic() +``` +::: -Before we start calculating means and plotting, let's create a new column in our data frame to indicate whether the tank temperature is above or below the cutoff temperature. We will use our fish-specific data frames to do this. +### Density -A useful function that we can use when we want to create a new column based on values in another column is the `if_else()` function. It operates the following way: +Wait a second! Take a look back at the data. There is a "number of fish" column, indicating the total number of fish in the tank, and it looks like those numbers can differ pretty widely. -1. IF a condition is true, do \[something\]. +We should probably take into account how many fish there are in the tank to begin with. 12 sick fish out of 50 is probably a bigger deal than 12 sick fish out of 100! -2. IF a condition is false, do \[something ELSE\]. +What we need to do is calculate a density: the number of sick fish divided by the total number of fish in the tank. ```{r} -# Start with tilapia dataframe -sick_tilapia %>% - mutate(temp_cutoff = if_else(condition = avg_daily_tempF >= 75, - true = "above", - false = "below")) +# take into account the number of fish in the tank: density of sick fish +sick_fish <- sick_fish %>% + mutate(density = num_sick/num_fish) ``` -### Individual Challenge +#### Small Groups -Practice using the `if_else()` function as we did above. This time, use the sick_trout dataframe. Remember to change the bits of the code that you need to! +Let's make sure our conclusions about trout being the true culprits still hold when we account for the total number of fish in the tank. -```{r} -# Modify the code below to do the same operation for the trout -sick_tilapia %>% - mutate(temp_cutoff = if_else(condition = avg_daily_tempF >= 75, - true = "above", - false = "below")) -``` +Work in small groups to do the following: + +- find the average number and standard deviation of sick fish for both species +- make a plot that compares the distributions of sick fish numbers for both species (you have multiple options here!) -## Another Type of Iteration: `for loop` +```{r} +# Write your code here -Another way we could write something like this is by using the `if_else()` function in something we call a `for loop`. +``` -Before we do that, though, let's talk through the general structure of a `for loop`. It essentially says for each value in a list, do a certain task. The "loop" is because we are "looping" through a list of values, performing the task for one value then looping back to the beginning to perform the task for the next value. We type the "task" within curly brackets, similar to a function that we write. +::: instructor-only +**Answer:** ```{r} -# for loop structure: - -# for ([value] in [list]){ - # Do the things I've written between the curly brackets -# } - -# for loop example with years -for (year in 2020:2022){ - print(paste("The year is", year)) -} - -# What is happening in this loop? - -# We start with year = 2020, -# So the for loop will print "The year is 2020" -# We then go back to the beginning and do this again, -# this time year = 2021 -# So now the for loop will print "The year is 2021" -# The last value in our loop is year = 2022 -# And as you would expect, that would give "The year is 2022" +sick_fish %>% + group_by(species) %>% + summarize(mean_sick_fish = mean(density), + sd_sick_fish = sd(density)) ``` -Now that we know the general structure of a `for loop`, we can combine it with the `if_else()` function to create a new column. - ```{r} -# Create an empty column in sick_tilapia -sick_tilapia$temp_cutoff <- NA +# boxplot option +ggplot(sick_fish, aes(species, density, color = species)) + + geom_boxplot() + + geom_jitter(alpha = 0.5, width = 0.1) + + labs(x = "Species", + y = "Density of Sick Fish in Tanks", + color = "Species") + + theme_light() +``` -# What do we want to do? +```{r} +# histogram option +ggplot(sick_fish, aes(density, fill = species)) + + geom_histogram(alpha = 0.5, bins = 15) +``` -# for each value (i) in a list going from 1 to the number of rows in sick_tilapia, -# put either "above" or "below" in the same place as (i) in the dataframe, but this time in the new column +**Instructor Note:** Trout have a mean sick fish density of 0.193, roughly 5.7× higher than tilapia (0.034). The boxplot makes this immediately visible. +::: -# In this case, i is equivalent to the row +Uh oh... the trout densities look even worse than just the number of sick fish. -# So this loop will repeat however many rows are present in sick_tilapia -for (i in 1:nrow(sick_tilapia)){ - - sick_tilapia$temp_cutoff[i] <- - if_else(condition = sick_tilapia$avg_daily_tempF[i] >= 75, - true = "above", - false = "below") - -} -``` +We should create a data frame that only contains trout to work with for the rest of our analyses. Take a few minutes to work on that; call it `sick_trout`. -*Note: I will never ask you to write a for loop completely from scratch. I might have you copy and paste one or change some values in one, but you won't have to write one out yourself.* +```{r} +# Write your code here -### Group Challenge +``` -Try your hand at using the `for loop` we wrote above to create a new temperature cutoff column in the `sick_trout` data frame. Remember, the cutoff for trout was 59°F. +::: instructor-only +**Answer:** ```{r} -# New column -sick_trout$temp_cutoff <- NA - -# Same operation done on trout as done on tilapia above -for (i in 1:nrow(sick_trout)){ - - sick_trout$temp_cutoff[i] <- - if_else(condition = sick_trout$avg_daily_tempF[i] >= 59, - true = "above", - false = "below") - -} +sick_trout <- sick_fish %>% + filter(species == "trout") +sick_trout ``` +::: -### Why `for loops`? +## What Environmental Factor? -Like with our last lesson about functions, I've asked you to perform a task in a new and complicated way than you need to for that task. Why? +Take a look back at the data frame. Which columns are environmental variables that could be driving the issues? -You'll find some examples [here](https://github.com/bleds22e/PP_shifts/blob/master/scripts/functions.R) in code written for my Ph.D. dissertation. +Are those columns numeric or categorical? What plot type have we talked about that might help us find a relationship between density and each of these variables (one at a time...)? -## Back to Data Exploration +::: instructor-only +**Instructor Note:** The environmental columns in the trout data are `avg_daily_temp`, `num_fish`, `day_length`, and `tank_volume`. -We now have 2 data frames, one with tilapia data and one with trout data. Each data frame also has a new column called `temp_cutoff`. On your own or with a partner, start exploring the data to figure out if there are differences between warm and cold tilapia and warm and cold trout. +All are numeric, so scatter plots with `density` on the y-axis are the right choice. +::: -Can you pinpoint an issue? Let's start by comparing means. +In small groups, make plots using the `density` column in the `sick_trout` data to try to figure out which environmental factor is causing problems in the trout. ```{r} -# Mean number of sick tilapia per temperature cutoff -sick_tilapia %>% - group_by(temp_cutoff) %>% - summarise(mean_sick = mean(num_sick)) - -# Mean number of sick tilapia per temperature cutoff -sick_trout %>% - group_by(temp_cutoff) %>% - summarise(mean_sick = mean(num_sick)) - -# Alternative: +# Write your code here -# Put tilapia and trout data back together -sick_fish <- bind_rows(sick_tilapia, sick_trout) - -# Find mean number of sick fish for each species, for each temperature cutoff -sick_fish %>% - group_by(species, temp_cutoff) %>% - summarise(mean_sick = mean(num_sick)) ``` -Not much popping out in the means. Next thing to check would be histograms of the number of sick fish for both species, above and below the cutoffs. +What do we think is the environmental driver causing issues with the trout? -For now, I would recommend making 4 different data frames (this isn't "best practice" but it is really helpful while you are learning). +::: instructor-only +**Answer:** ```{r} -# Separate tilapia below temperature cutoff -cold_tilapia <- sick_tilapia %>% - filter(temp_cutoff == "below") - -# Separate tilapia above temperature cutoff -warm_tilapia <- sick_tilapia %>% - filter(temp_cutoff == "above") +ggplot(sick_trout, aes(x = num_fish, y = density)) + + geom_smooth(method = "lm", se = FALSE) + + geom_point() + + labs(x = "Number of Fish in Tank", y = "Density of Sick Fish") + + theme_light() + +ggplot(sick_trout, aes(x = avg_daily_temp, y = density)) + + geom_smooth(method = "lm", se = FALSE) + + geom_point() + + labs(x = "Average Daily Temperature (°C)", y = "Density of Sick Fish") + + theme_light() + +ggplot(sick_trout, aes(x = day_length, y = density)) + + geom_smooth(method = "lm", se = FALSE) + + geom_point() + + labs(x = "Day Length", y = "Density of Sick Fish") + + theme_light() +``` -# Separate trout below temperature cutoff -cold_trout <- sick_trout %>% - filter(temp_cutoff == "below") +**Instructor Note:** The clearest signal is in `avg_daily_temp`, there is a positive relationship between temperature and sick fish density. As temperature increases, density tends to increase. This makes biological sense: rainbow trout are cold-water fish and even modest temperature increases toward the upper end of their tolerance range stress their immune function. -# Separate trout above temperature cutoff -warm_trout <- sick_trout %>% - filter(temp_cutoff == "above") +`day_length` shows essentially no relationship -# Tilapia histograms -hist(cold_tilapia$num_sick) -hist(warm_tilapia$num_sick) +`num_fish` shows a slight negative trend, as the number of fish in a tank increases, density of sick fish decreases slightly. This is likely a dilution effect in the density calculation (more total fish in the denominator) rather than a real biological pattern, and students should note that the scatter is wide. -# Trout histograms -hist(cold_trout$num_sick) -hist(warm_trout$num_sick) -``` +Temperature is looking like the primary driver. Close by asking: what would you recommend to the Antarctic base team? This sets up the transition into Module 3. +::: \ No newline at end of file diff --git a/modules/module_2/module2_6.qmd b/modules/module_2/module2_6.qmd deleted file mode 100644 index a9758ad..0000000 --- a/modules/module_2/module2_6.qmd +++ /dev/null @@ -1,302 +0,0 @@ ---- -title: "2.6: Exploring `geom` Functions" ---- - -## Plotting in `ggplot2` - -### Data Visualization Types and When to Use Them - -#### Scavenger Hunt - -Head over to [data-to-viz.com](https://www.data-to-viz.com/) and do some exploration! In your groups, choose one of the following types of plots. Hunt down as many locations in the flow chart where your plot type is found as you can find. - -- histogram: `geom_histogram()` -- scatter plot: `geom_point()` -- box-and-whisker: `geom_boxplot()` + `geom_jitter()` - -If you've finished, click on your plot type and read more about it. Check out the examples that were made in R, including many using `ggplot2`. Take note of the following: - -- which `geom` function is being used to create the plot -- you'll see a number of other things in the `ggplot` code, some which will be new. What are they? Any idea what they are doing? - -### Using `geom` Functions to Make Plots - -Let's practice making different kinds of plots with various `geom` functions to see how they work. - -```{r, message=FALSE, warning=FALSE} -library(tidyverse) -fish <- read_csv("data/fish_sick_data.csv") -``` - -#### Plotting in `ggplot2` - -First, let's remind ourselves of the general structure of how we make plots using the `ggplot2` syntax. - -```{r} -# ggplot(data = , mapping = aes(x = , y = % - mutate(density = num_sick/num_fish) -``` - -#### Small Groups - -Let's make sure our conclusions about trout being the true culprits still hold when we account for the total number of fish in the tank. - -Work in small groups to do the following: - -- Find the average number and standard deviation of sick fish for both species -- Make a plot that compares the distributions of sick fish numbers for both species (you have multiple options here!) - -```{r} -# Mean and standard deviation of density of sick fish for each species -sick_fish %>% - group_by(species) %>% - summarize(mean_sick_fish = mean(density), - sd_sick_fish = sd(density)) - -# Plot density sick fish for each species -ggplot(sick_fish, aes(species, density, color = species)) + - geom_boxplot() + - geom_jitter(alpha = 0.5, width = 0.1) + - labs(x = "Species", - y = "Density of Sick Fish in Tanks", - color = "Species") + - theme_light() - -# And a histogram -ggplot(sick_fish, aes(density, fill = species)) + - geom_histogram(alpha = 0.5, bins = 15) - -``` - -Uh oh...the trout densities look even worse than just the number of sick fish. We need to take a closer look at what is going on in the trout tanks! - -We should create a data frame that only contains trout to work with for the rest of our analyses. Take a few minutes to work on that; call it `sick_trout`. - -```{r} -# Only trout -sick_trout <- sick_fish %>% - filter(species == "trout") -``` - -### What Environmental Factor? - -Take a look back at the data frame. Which columns are environmental variables that could be driving the issues? - -Are those columns continuous or categorical? What plot type have we talked about that might help us find a relationship between density and each of these variables (one at a time...)? - -In small groups, make plots using `density` column in the `sick_trout` data to try to figure out which environmental factor is causing problems in the trout. Treat your variables as continuous. - -```{r} -# Is it the number of fish? -ggplot(sick_trout, aes(x = density, y = num_fish)) + - #geom_smooth(method = 'lm', se = FALSE) + - geom_point() - -# Is it the average daily temperature? -ggplot(sick_trout, aes(x = density, y = avg_daily_temp)) + - #geom_smooth(method = 'lm', se = FALSE) + - geom_point() - -# Is it the day length? -ggplot(sick_trout, aes(density, day_length)) + - #geom_smooth(method = 'lm', se = FALSE) + - geom_point() -``` - -What do we think is the environmental driver causing issues with the trout? diff --git a/modules/module_2/module2_home.qmd b/modules/module_2/module2_home.qmd new file mode 100644 index 0000000..c2cf8b0 --- /dev/null +++ b/modules/module_2/module2_home.qmd @@ -0,0 +1,49 @@ +--- +title: "Module 2: Good Food Gone Bad!" +format: + html: + toc: false +--- + +## Overview + +A wave of food poisoning spreads through the Antarctic base, and the team needs to figure out why. Students investigate a potential food contamination event using descriptive statistics and data visualization to track down the culprit. Along the way, they are introduced to histograms, scatter plots, and box plots in both base R and `ggplot2`, and they develop an eye for what makes a visualization effective or misleading. By the end of the module, students have solved the problem and begun exploring a dataset of their own for the course's final project. + +## Learning Objectives + +By the end of this module, students will be able to: + +- distinguish between descriptive and inferential statistics and explain when each is appropriate +- calculate and interpret measures of central tendency and variation, including mean, median, and standard deviation +- create histograms and scatter plots using base R syntax +- build plots iteratively in `ggplot2` using `ggplot()`, `aes()`, geom functions, `labs()`, and `theme()` functions +- select an appropriate plot type based on the number and types of variables being visualized +- create histograms, multiple histograms, scatter plots, and box-and-whisker plots in `ggplot2` +- evaluate the effectiveness of a data visualization and identify common pitfalls +- write a research question with a clearly defined dependent and independent variable + +## Lessons & Assignments + +### Lessons + +Each lesson page displays content in **student view** by default. Use the toggle button in the top right corner of the page to switch to **instructor view**, which reveals embedded answer keys and instructor notes. The QMD file, PDF, and any associated data can be downloaded from each lesson's page in either view. + +- [2.1: Good Food Gone Bad](module2_1.qmd) +- [2.2: Plotting with `ggplot2`](module2_2.qmd) +- [2.3: Data Visualization](module2_3.qmd) +- [2.4: Exploring `geom` Functions](module2_4.qmd) +- [2.5: Module 2 Wrap-Up](module2_5.qmd) + +### Assignments + +Assignment pages are publicly available in student view only. The QMD file, PDF, and any associated data can be downloaded from each assignment's page. Instructor versions with answer keys are only available to educators. To request access, visit the [Instructors page](../../instructors.qmd). + +- Assignment 1: Scatter Plots +- Assignment 2: From Data to Plot +- Assignment 3: Final Project Kickoff + +## GitHub + +To clone the entire course or download multiple files at once, visit the [course GitHub repository](). + +**Links are not yet live.** \ No newline at end of file diff --git a/modules/module_3/assets/coefficient_correlation.jpg b/modules/module_3/assets/coefficient_correlation.jpg new file mode 100644 index 0000000..d720b3e Binary files /dev/null and b/modules/module_3/assets/coefficient_correlation.jpg differ diff --git a/modules/module_3/assets/coffee_interaction.jpg b/modules/module_3/assets/coffee_interaction.jpg new file mode 100644 index 0000000..0f4590d Binary files /dev/null and b/modules/module_3/assets/coffee_interaction.jpg differ diff --git a/modules/module_3/assets/correlation.jpg b/modules/module_3/assets/correlation.jpg new file mode 100644 index 0000000..046c373 Binary files /dev/null and b/modules/module_3/assets/correlation.jpg differ diff --git a/modules/module_3/assets/gentoo-penguin-cornell-lab2.jpg b/modules/module_3/assets/gentoo-penguin-cornell-lab2.jpg new file mode 100644 index 0000000..ded3826 Binary files /dev/null and b/modules/module_3/assets/gentoo-penguin-cornell-lab2.jpg differ diff --git a/modules/module_3/assets/lines.png b/modules/module_3/assets/lines.png new file mode 100644 index 0000000..3542839 Binary files /dev/null and b/modules/module_3/assets/lines.png differ diff --git a/modules/module_3/assets/residuals.jpg b/modules/module_3/assets/residuals.jpg new file mode 100644 index 0000000..aade903 Binary files /dev/null and b/modules/module_3/assets/residuals.jpg differ diff --git a/modules/module_3/assets/steepness.jpeg b/modules/module_3/assets/steepness.jpeg new file mode 100644 index 0000000..b454c1d Binary files /dev/null and b/modules/module_3/assets/steepness.jpeg differ diff --git a/modules/module_3/assignments/a1/m3a1.qmd b/modules/module_3/assignments/a1/m3a1.qmd new file mode 100644 index 0000000..d08349f --- /dev/null +++ b/modules/module_3/assignments/a1/m3a1.qmd @@ -0,0 +1,134 @@ +--- +title: "Module 3, Assignment 1: Comparing Two Means" +author: "your name here" +date: today +format: pdf +--- + +```{r} +#| include: false +knitr::opts_chunk$set(echo = TRUE) +``` + +# Assignment Details + +### Purpose + +The goal of this assignment is to assess your ability to compare means numerically, visually, and statistically + +### Task + +Write R code which produces the correct answers and correctly interpret the results of visualizations and statistical tests. + +### Criteria for Success + +- Code is within the provided code chunks +- Code chunks run without errors +- Code produces the correct result + - Code that produces the correct answer will receive full credit + - Code attempts with logical direction will receive partial credit +- Written answers address the questions in sufficient detail + +# Assignment Questions + +In this assignment, we're going to explore another data set on wind turbines that generate a significant portion of the energy for us down here in Antarctica. + +### Set-Up + +Let's load the `tidyverse` and read in the data set. Call the data `turbines`. + +```{r} +#| message: false + +``` + +1. Explore the data set, either through the environment or through code. Answer the following questions (2 point): + + a. How many turbine companies are represented in the data? + b. What do the data in each row of data represent? + +```{r} +# optional; only if you want space for coding +``` + +### Numeric + +2. Generate a summary of the data set that calculates the average required [wind speed]{.underline} and mean [power output]{.underline} for each wind turbine company. Save this as a data frame called `turbine_summary`. (2 point) + +```{r} + +``` + +### Visual + +3. Create a multiple histogram plot for the [power output]{.underline} variable. (3 points) + + - be sure to have a histogram for each turbine producer; the color and/or the fill should be determined by the maker of the turbine. They should also be transparent and not stacked vertically. + - set the number of bins to 10 + - add in vertical lines for the mean values in the same color as the turbine makers (remember to reference the correct data frame!) + - make sure the x-axis, y-axis, and legend labels are capitalized and easier to understand + - use the `theme_classic()` function + +```{r} + +``` + +4. Generate a box-and-whisker plot that compares the required [wind speed]{.underline} between different turbine makers (3 points). + + The plot should: + + - have capitalized and more descriptive axis labels (hint: wind speed is measured in kilometers per hour---km/hr) + - show raw data points in addition to the boxes. The points should be jittered. + - use the `theme_classic()` function + +```{r} + +``` + +### Statistic + +5. Write a null hypothesis and an alternative hypothesis for each question we are asking. (2 points) + +Is there a significant difference in the [power output]{.underline} from turbines from the different companies? + +- **Null Hypothesis** (H~0~):\ +- **Alternative Hypothesis** (H~A~): + +Is there a significant difference in the required [wind speeds]{.underline} for turbines from different companies? + +- **Null Hypothesis** (H~0~):\ +- **Alternative Hypothesis** (H~A~): + +6. Based on the mean values in the `turbine_summary` data frame and the plots you've created above, [predict the outcome]{.underline} of each t-test that we will run: (1) comparing wind speeds between turbine companies and (2) comparing power outputs between companies. (This question graded for completion, not accuracy; 2 points) + + Explain your reasoning (1-2 sentences for each t-test is fine). + + *Answer:* + +7. Perform a t-test to determine if there is a significant difference in the [power output]{.underline} between turbine makers. (1 point) + +```{r} + +``` + +8. In 2-3 sentences, interpret the output from Question 7. Focus on what the p-value is in reference to the cutoff of 0.05, what that means, and whether that means we reject or fail to reject the null hypothesis. (2 points) + + *Answer:* + +9. Perform another t-test, this time to determine whether the required [wind speed]{.underline} differs significantly between manufacturers. (1 point) + +```{r} + +``` + +10. In 2-3 sentences, interpret the output from Question 9; focus on the same ideas as in Question 8. (2 points) + + *Answer:* + +# Turning in Your Assignment + +1. Make sure your name is filled in at the top of the document. +2. Click the **Render** button at the top of this document. This will produce a PDF that opens in a new tab and also saves to the Files panel on the bottom-right of your screen. +3. To download the PDF from Posit Cloud, click the empty box to the left of the PDF file in the Files panel. +4. Click the blue gear at the top of the Files panel and choose Export. +5. Put your last name at the front of the file name when prompted, then click Download. The PDF is now in your Downloads folder. \ No newline at end of file diff --git a/modules/module_3/assignments/a1/wind_turbines.csv b/modules/module_3/assignments/a1/wind_turbines.csv new file mode 100644 index 0000000..7a11313 --- /dev/null +++ b/modules/module_3/assignments/a1/wind_turbines.csv @@ -0,0 +1,68 @@ +turbine_id,manufacturer,wind_speed,power_output +1,Windmill Inc,14.81747430500711,65.4083097219102 +2,Windmill Inc,9.07655056972168,3.835687265885688 +3,Windmill Inc,6.5106937879683215,32.04613384367114 +4,Windmill Inc,13.9147143662196,37.74656329973049 +5,Windmill Inc,17.087264003405085,49.927018467915225 +6,Windmill Inc,15.031395105422918,46.58415894124093 +7,Windmill Inc,8.971803082008826,48.45431724191048 +8,Windmill Inc,7.792977146891361,2.9730384303115067 +9,Windmill Inc,3.4901058013210235,1.9442849141272192 +10,Windmill Inc,9.88815623914844,65.32332098722654 +11,Windmill Inc,9.55566494381578,21.955901643711695 +12,Windmill Inc,9.34570007721524,64.01020284733737 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Inc,9.57631649096204,45.2577745252406 +32,Windmill Inc,16.981753245612698,78.01484727750237 +33,Windmill Inc,15.89948617652854,45.73620679187866 +34,Windmill Inc,8.512151058623427,40.30754696837628 +35,Windmill Inc,15.325182131483729,40.8558686970162 +36,Windmill Inc,1.6621016780010829,18.007024675698332 +37,Windmill Inc,3.1235647643251188,23.469772531824283 +38,Windmill Inc,10.217576247443688,54.63057298051538 +39,Windmill Inc,9.283823051026554,12.3988428002898 +40,Windmill Inc,8.658130814500087,33.25343613805042 +41,Windmill Inc,11.806866640889606,30.574920088667252 +42,Windmill Inc,3.6727543337893738,23.88614679060617 +43,Windmill Inc,15.142102755487132,88.13716273637307 +44,Windmill Inc,20.61459814627487,73.67977578012639 +45,Windmill Inc,6.790689841472066,2.1253052889281427 +46,Windmill Inc,10.388304110640572,13.057030350069624 +47,Windmill Inc,12.706902232135258,42.36806740923551 +48,Turbo Turbines,13.44429892396645,8.655438453898249 +49,Turbo Turbines,6.626352962262523,2.799682790561296 +50,Turbo Turbines,14.98540571824407,12.837892598761172 +51,Turbo Turbines,1.7767233813392664,2.3141193471542856 +52,Turbo Turbines,13.74186272127992,21.53179551605007 +53,Turbo Turbines,13.397573123835716,17.72034791696825 +54,Turbo Turbines,10.11642115933438,23.56009366027324 +55,Turbo Turbines,10.87339026096168,16.15599536157921 +56,Turbo Turbines,20.40834270002923,30.38382260864207 +57,Turbo Turbines,6.44994541576237,6.41278671111802 +58,Turbo Turbines,9.9892865170067,9.249487765963542 +59,Turbo Turbines,10.04694455495925,29.306298637968336 +60,Turbo Turbines,6.759082785601903,21.7835470991122 +61,Turbo Turbines,6.787268177366852,2.624183777838983 +62,Turbo Turbines,5.975386695123835,21.67223184309381 +63,Turbo Turbines,16.457159462031953,20.12890738662136 +64,Turbo Turbines,8.192975518607803,26.82633623042415 +65,Turbo Turbines,5.313520954171691,1.2921315768278374 +66,Turbo Turbines,20.89208050756859,38.2288272063999 +67,Turbo 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Assignment Details + +### Purpose + +The goal of this assignment is to assess your ability to compare *multiple* means numerically, visually, and statistically and interpret the results. + +### Task + +Write R code which produces the correct answers and correctly interpret the results of visualizations and statistical tests. + +### Criteria for Success + +- Code is within the provided code chunks +- Code is commented with brief descriptions of what the code does +- Code chunks run without errors +- Code produces the correct result + - Code that produces the correct answer will receive full credit + - Code attempts with logical direction will receive partial credit +- Written answers address the questions in sufficient detail + +# Assignment Questions + +In this assignment, we're going to explore data from four bays down in Antarctica: Emperor Bay, Hope Bay, Iceberg Bay, and Sulzberger Bay. + +We've assessed our fleet and feel like we have enough fishing boats to fish from *two of the four* nearby bays. How do we decide which two bays to fish? + +First, we need to assess how many fish are in each bay. Then we will assess how many leopard seals hang around each bay. Based on these two aspects, we will make a determination for which two bays we can most safely fish and still get enough fish for the station. + +## Set-Up + +1. As always, our first order of business is to load the `tidyverse` and our data sets. For this assignment, we have two different data sets: one for our survey of fish amounts and one for seal observations. Read both of them into the workspace and name them `fish` and `seals`, respectively. + +```{r} + +``` + +## Fish + +The first question we've been asked to tackle is if the four bays have different amounts of fish. Let's find out. + +Explore the data set by using your favorite function to look at the data frame (e.g., `head()`, `str()`). + +```{r} + +``` + +Early last year, we had our fishers head out into each of the four bays every day for a month to sample fish. They sampled using 5 nets in both the morning and the afternoon. They recorded how many kilograms of fish they caught in each net. The two variables that we will be using to help us make our evaluation are `bay` and `fish_kg`. + +### Conceptual + +2. Write out our two hypotheses for these data. + + **Null Hypothesis** $H_{0}$:\ + **Alternative Hypothesis** $H_{A}$: + +### Numeric + +3. Let's first find out what the mean (average) and standard deviation (spread) of `fish_kg` is in each bay. Save this data in a new data frame called `fish_summary`. + +```{r} + +``` + +Take a look at the values. Do you think the bays have different amounts of fish based on these values? Let's keep exploring. + +### Visual + +4. Plot the fish data using a box-and-whisker plot. It doesn't need to be fancy (no need to fix axis labels and such) but be sure it has the following: Make sure your plot has the following: + + - data points overlaying the boxes + - the points should be partially transparent and jittered + +```{r} + +``` + +### Statistics + +5. In our data set, which variable is the independent variable? Is it categorical or numeric? Which is the dependent variable, and is it categorical or numeric? + + **Independent:** + + **Dependent:** + +6. Run an ANOVA to determine if there is an overall difference in means in the four bays. Save the model as an object called `fish_model`, then display the results of the model using the `summary()` function. Remember, the syntax for the model is: `dependent ~ independent` + +```{r} + +``` + +7. Interpret the results of the model and answer the following questions (2 points): + + - What is the value of the test statistic? + + - What is our p-value? + + - Is our p-value higher or lower than our cut-off value of 0.05? + + - Write 2-3 sentences explaining that this result means. How do we interpret this value? What does it mean for our hypotheses? + + *Answers:* + +8. Run some code to compute pairwise comparisons. + +```{r} + +``` + +9. Write 2-3 sentences interpreting the pairwise comparisons. Which pairs of bays are significantly different from each other, if any? + + *Answer:* + +## Seals + +Let's do the same for our seal data. The `seals` data frame has data on how many seals were observed each day in each survey area of the bay. The columns we will be focusing on are `bay` and `num_seals`. + +### Conceptual + +10. Write out our two hypotheses for the seal data. + + **Null Hypothesis** $H_{0}$:\ + **Alternative Hypothesis** $H_{A}$: + +### Numeric + +11. Calculate the mean and standard deviation for the number of seals in each bay. Save this to a new data frame called `seal_summary`. + +```{r} + +``` + +Take a look at the values. Do you think the bays have different numbers of seals based on these values? Let's keep exploring. + +### Visual + +12. Plot the seal data using a box-and-whisker plot. It doesn't need to be fancy (no need to fix axis labels and such) but be sure it has the following: Make sure your plot has the following: + - data points overlaying the boxes + - the points should be partially transparent and jittered + +```{r} + +``` + +### Statistics + +13. Run an ANOVA to determine if there is an overall difference in means in the four bays. + + Save the model as an object called `seal_model`, then display the results of the model using the `summary()` function. + + Remember, the syntax for the model is: `dependent ~ independent` + +```{r} + +``` + +14. Interpret the results of the model and answer the following questions (2 points): + + - What is the value of the test statistic? + - What is our p-value? + - Is our p-value higher or lower than our cut-off value of 0.05? + - Write 2-3 sentences explaining that this result means. How do we interpret this value? What does it mean for our hypotheses? + + *Answers:* + +15. Run a line of code to compute pairwise comparisons. + +```{r} + +``` + +16. Write 2-3 sentences interpreting the pairwise comparisons. Which pairs of bays are significantly different from each other, if any? + + *Answer:* + +## Decision-Making + +Think through our goals in doing this analysis. + +We want to choose two out of four bays to fish in. We want bays that have enough fish to feed our station but the least number of leopard seals to keep our fishing crews as safe as possible. + +17. Based on *all* our results, which two bays do you think we should fish? Explain your rationale (2 points) + + *Answer:* + +# Turning in Your Assignment + +1. Make sure your name is filled in at the top of the document. +2. Click the **Render** button at the top of this document. This will produce a PDF that opens in a new tab and also saves to the Files panel on the bottom-right of your screen. +3. To download the PDF from Posit Cloud, click the empty box to the left of the PDF file in the Files panel. +4. Click the blue gear at the top of the Files panel and choose Export. +5. Put your last name at the front of the file name when prompted, then click Download. The PDF is now in your Downloads folder. \ No newline at end of file diff --git a/modules/module_3/assignments/a2/seals.csv b/modules/module_3/assignments/a2/seals.csv new file mode 100644 index 0000000..1bf24f4 --- /dev/null +++ b/modules/module_3/assignments/a2/seals.csv @@ -0,0 +1,801 @@ +date,survey_area,bay,num_seals +2021-03-01,1,Emperor,9 +2021-03-01,2,Emperor,9 +2021-03-01,3,Emperor,9 +2021-03-01,4,Emperor,11 +2021-03-01,5,Emperor,9 +2021-03-01,1,Emperor,11 +2021-03-01,2,Emperor,11 +2021-03-01,3,Emperor,11 +2021-03-01,4,Emperor,11 +2021-03-01,5,Emperor,10 +2021-03-01,1,Sulzberger,2 +2021-03-01,2,Sulzberger,3 +2021-03-01,3,Sulzberger,1 +2021-03-01,4,Sulzberger,1 +2021-03-01,5,Sulzberger,3 +2021-03-01,1,Sulzberger,2 +2021-03-01,2,Sulzberger,2 +2021-03-01,3,Sulzberger,4 +2021-03-01,4,Sulzberger,2 +2021-03-01,5,Sulzberger,0 +2021-03-01,1,Iceberg,5 +2021-03-01,2,Iceberg,8 +2021-03-01,3,Iceberg,9 +2021-03-01,4,Iceberg,3 +2021-03-01,5,Iceberg,6 +2021-03-02,1,Iceberg,5 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scatter plots using `ggplot2`. +- Students will be able to add a vertical line to a `ggplot2` plot using `geom_vline()` with a secondary data frame. +- Students will be able to describe the trade-off between signal distance and battery life in wildlife tracking collars. + +## The Challenge Given the issues with our farmed fish, we will need to supplement our diets with some fish that are wild-caught for a while. These fish are caught by members of Team Antarctica, but there is quite a bit of risk involved. -![](assets/seal2.jpeg) +![](assets/seal2.jpeg){width="50%"} -One of the main hazards to these fishing teams are [leopard seals](https://en.wikipedia.org/wiki/Leopard_seal). They're apex predators in this ecosystem and are quite large, averaging 2.4--3.5 m (7.9--11.5 ft) in length and 200-600 kilograms (440-1,320 lb) in weight. Due to their large size and predatory nature, they can cause serious injury, especially when large schools of fish are involved ([a researcher was killed by a leopard seal in Antarctica in 2003](https://www.theguardian.com/uk/2003/jul/24/science.highereducation)). +One of the main hazards to these fishing teams is [leopard seals](https://en.wikipedia.org/wiki/Leopard_seal). They're apex predators in this ecosystem and are quite large, averaging 2.4--3.5 m (7.9--11.5 ft) in length and 200-600 kilograms (440-1,320 lb) in weight. Due to their large size and predatory nature, they can cause serious injury, especially when large schools of fish are involved ([a researcher was killed by a leopard seal in Antarctica in 2003](https://www.theguardian.com/uk/2003/jul/24/science.highereducation)). -![](assets/seal3.jpeg) +![](assets/seal3.jpeg){width="50%"} One way we're working to remove some of this danger is by working with data from large mammal researchers. They have been tracking leopard seals using radio collars, one of many ways to track wildlife. -[Wildlife Tracking Powerpoint](https://docs.google.com/presentation/d/1n-rPHVoB9tydIj_yEQ1TxGTHXn6VWaliRbOszRnbCoc/edit#slide=id.g16730a957e3_0_20) - They have radio collared on a number of seals that live in areas that could be fished. Fishing boats are equipped with radios that can detect the presence of seals in the area and avoid high-risk sites. In recent months, a problem has arisen. Some of the collars are failing, leading to some very close calls! While attempting to untangle a net, one team member was pulled into the water when a seal lunged at some fish trapped in the net. @@ -26,19 +40,17 @@ The large mammal team replaces collars frequently based on the two manufacturers We've been tasked with determining why the units are failing and if we can tie it to a particular manufacturer. -### The Data +## The Data -Our data on collars is in a file called "collar_data.csv." Read in this data and our tidyverse. +Our data on collars is in a file called "collar_data.csv." We are calling it `collars`. -```{r message=FALSE, warning=FALSE} -# Load library +```{r} +#| message: false library(tidyverse) - -# Load data collars <- read_csv("data/collar_data.csv") ``` -## Explore the Data +### Explore the Data 1. Two manufacturers 2. Battery life: the average number of days a particular collar lasts (this is recorded in the unit and stored when the battery dies) @@ -49,39 +61,54 @@ collars <- read_csv("data/collar_data.csv") Let's practice. Write some code to do the following: -- Calculate the mean and standard deviation for: +- calculate the mean and sd for: - battery life - signal distance -- Do this for both manufacturers +- do this for both manufacturers +- save the result as an object called `bat_life_and_signal` (we will use it later!) -```{r summarize} -bat_life_and_signal <- collars %>% - group_by(maker) %>% # Group by manufacturer - summarize(bat_life_mean = mean(battery_life), # Mean (battery) - bat_life_sd = sd(battery_life), # SD (battery) - signal_mean = mean(signal_distance), # Mean (signal) - signal_sd = min(signal_distance)) # SD (signal) +```{r} +# Write your code here + +``` -# View results +::: instructor-only +**Answer:** + +```{r} +bat_life_and_signal <- collars %>% + group_by(maker) %>% + summarize(bat_life_mean = mean(battery_life), + bat_life_sd = sd(battery_life), + signal_mean = mean(signal_distance), + signal_sd = sd(signal_distance)) bat_life_and_signal ``` +::: We also might want to count up how many collar failures are attributed to each maker. ```{r} -# Number of failed collars per maker +# Write your code here -# Option 1: summarize + sum +``` + +::: instructor-only +**Answer:** + +```{r} collars %>% group_by(maker) %>% summarize(fail_count = sum(fail)) -# Option 2: count collars %>% group_by(maker) %>% count(fail) ``` +**Instructor Note:** Budget Collars LLC has 16 failures compared to just 4 for Collarium Inc. Budget Collars LLC is clearly the problem maker. +::: + Looks like one of these makers is definitely the one having some problems! ## Visualizing the Data @@ -90,16 +117,14 @@ After summarizing our data, our next step in our data exploration is usually dat ### One Continuous Variable at a Time -What types of plots can we use to explore one continuous variable (and one categorical variable --- in this case, maker)? +What types of plots can we use to explore one continuous variable (and one categorical variable, in this case, maker)? -- Multiple histogram -- Multiple density plot -- Box-and-whisker plot +- multiple histogram +- box-and-whisker plot We can start with a histogram of the battery life of the collars. ```{r} -# Histogram ggplot(collars, aes(battery_life)) + geom_histogram() ``` @@ -107,7 +132,6 @@ ggplot(collars, aes(battery_life)) + We probably want to add in the collar maker to see some differences there. ```{r} -# Histogram by maker ggplot(collars, aes(battery_life, fill = maker)) + geom_histogram(alpha = 0.5, position = "identity") ``` @@ -120,26 +144,24 @@ We will use the `geom_vline()` function to add a vertical line onto our plot at Let's take a look at the help file for `geom_vline()` to see what arguments it takes. Scroll down to the "Aesthetics" section. -```{r, eval=FALSE} -# What is geom_vline? -? geom_vline +```{r} +#| eval: false +?geom_vline ``` It looks like we will need to specify the data and the x-intercept, the place on the x-axis that matches the mean value. ```{r} -# Histogram by maker, with mean line ggplot(collars, aes(battery_life, fill = maker)) + geom_histogram(alpha = 0.5, position = "identity") + geom_vline(data = bat_life_and_signal, aes(xintercept = bat_life_mean)) ``` -Nice! We have name the data argument in the `geom_vline()` function because otherwise the function assumes we still want to use the data from the `ggplot()` function and gets confused. We are essentially overwriting that data and telling `geom_vline()` that we need to use a different data frame. +Nice! We have to name the data argument in the `geom_vline()` function because otherwise the function assumes we still want to use the data from the `ggplot()` function and gets confused. We are essentially overwriting that data and telling `geom_vline()` that we need to use a different data frame. Let's wrap this up and make it extra nice by adding color, labels, and a theme. ```{r} -# Histogram by maker, with mean line and labels ggplot(collars, aes(battery_life, fill = maker)) + geom_histogram(alpha = 0.5, position = "identity") + geom_vline(data = bat_life_and_signal, aes(xintercept = bat_life_mean, color = maker)) + @@ -152,10 +174,17 @@ ggplot(collars, aes(battery_life, fill = maker)) + #### Group Challenge! -Make the same plot that we made above expect for the signal distance. +Make the same plot that we made above except for the signal distance. + +```{r} +# Write your code here + +``` + +::: instructor-only +**Answer:** ```{r} -# Same as above, but for signal distance ggplot(collars, aes(signal_distance, fill = maker)) + geom_histogram(alpha = 0.5, position = "identity") + geom_vline(data = bat_life_and_signal, aes(xintercept = signal_mean, color = maker)) + @@ -165,13 +194,13 @@ ggplot(collars, aes(signal_distance, fill = maker)) + fill = "Maker") + theme_light() ``` +::: ### Two Continuous Variables at a Time -We've explored both battery life and signal distance individually. Now let's bring them together into one plot to see what the relationship between them is like. What type of plot will be use for that? +We've explored both battery life and signal distance individually. Now let's bring them together into one plot to see what the relationship between them is like. What type of plot will we use for that? ```{r} -# Scatterplot ggplot(collars, aes(x = signal_distance, y = battery_life, color = maker)) + geom_point() ``` @@ -179,3 +208,11 @@ ggplot(collars, aes(x = signal_distance, y = battery_life, color = maker)) + How do we interpret this plot? What is it telling us about the relationship between signal distance and battery life? What is it telling us about that relationship between the two collar makers? As it turns out, this trade-off between signal distance and battery length is very real when it comes to wildlife tracking! Why do you think that is? + +::: instructor-only +**Instructor Note:** The plot shows two distinct clusters with almost no overlap. Collarium Inc. (teal) has higher battery life and lower signal distance. Budget Collars LLC (pink) has lower battery life and higher signal distance. + +Budget Collars LLC appears to have designed their collars for longer signal range at the cost of battery life. The reason students should suspect is that transmitting a signal over a longer distance requires more power, which drains the battery faster. + +This also sets up a key question for the next lesson. Is the difference in battery life between the two makers statistically meaningful, or could it be due to chance? +::: \ No newline at end of file diff --git a/modules/module_3/module3_2.qmd b/modules/module_3/module3_2.qmd index 3100fc5..47dcd58 100644 --- a/modules/module_3/module3_2.qmd +++ b/modules/module_3/module3_2.qmd @@ -1,8 +1,24 @@ --- title: "3.2: T-Tests" +author: "Ellen Bledsoe" +format: + html: + toc: true --- -## Comparing Two Means +```{r} +#| include: false +knitr::opts_chunk$set(echo = TRUE) +``` + +# Comparing Two Means + +## Learning Outcomes + +- Students will be able to identify appropriate independent and dependent variables for a t-test. +- Students will be able to write null and alternative hypotheses. +- Students will be able to run a t-test in R using `t.test()`. +- Students will be able to interpret t-test output including the t-statistic, p-value, and confidence interval. When we are comparing data from two groups, we often want to compare the mean values of the different groups to see if there are differences. We can do this in a number of ways: @@ -12,17 +28,25 @@ When we are comparing data from two groups, we often want to compare the mean va In this course so far, we have done the first 2: by calculating the mean values of groups and by plotting histograms, density plots, and box-plots. -Today, we will be exploring the statistical side, using inferential statistics. Once again, we will be using our collars data, focusing on the battery life and the signal distance. +In this lesson, we will be exploring the statistical side using inferential statistics. Once again, we will be using our collars data, focusing on the battery life and the signal distance. Let's get set-up by loading the tidyverse and reading in our data. -```{r, message=FALSE, warning=FALSE} -# Load library -library(tidyverse) +```{r} +#| message: false +#| warning: false +# Write your code here -# Load data +``` + +::: instructor-only +**Answer:** + +```{r} +library(tidyverse) collars <- read_csv("data/collar_data.csv") ``` +::: Let's take a quick look at the data structure to remind ourselves what data we are using. @@ -35,7 +59,7 @@ Before we dive in, if you need a refresher on inferential statistics, check out ## T-Tests -When we have a categorical variable with 2 categories, the statistical test that we use to determine if the two categories are *statistically significantly different* from each other is called a **t-test**. +When we have a categorical variable with 2 categories, the statistical tests we use to determine if the two categories are *statistically significantly different* from each other are called **t-tests**. ### When to Use a t-test @@ -57,7 +81,7 @@ Want more info on independent vs. dependent variables? Check out [this link](htt The first step in running any statistical test (t-test or otherwise) is *hypothesis testing*. -We build the our hypotheses around our independent and dependent variables. +We build our hypotheses around our independent and dependent variables. In this case, we want to know if there is a *meaningful* (read: statistical) difference between each collar manufacturer in their average values for battery life. To start, let's identify our independent and dependent variables: @@ -66,30 +90,29 @@ In this case, we want to know if there is a *meaningful* (read: statistical) dif Based on our question, we can now set up two different statistical hypotheses: the null hypothesis and the alternative hypothesis. -The null hypothesis always states that there is no difference or no relationship. We can think of the null hypothesis as our starting place---this is our default assumption. The alternative hypothesis is, well, the alternative to the null hypothesis. For example: +The null hypothesis always states that there is no difference or no relationship. We can think of the null hypothesis as our starting place or our default assumption. The alternative hypothesis is, well, the alternative to the null hypothesis. For example: - **Null Hypothesis** ($H_{0}$): There is *no* difference in the means of battery life between the two collar makers -- **Alternative Hypothesis** ($H_{A}$): There *is* no difference in the means of battery life between the two collar makers +- **Alternative Hypothesis** ($H_{A}$): There *is* a difference in the mean battery life between the two collar makers How can we determine whether we should *not reject* ("accept") or *reject* the null hypothesis? That's where statistics come in. -*(Note: For reasons I won't go into, we never accept the alternative hypothesis, we only reject the null hypothesis.)* +*(Note: For statistical reasons beyond the scope of this course, we never say we "accept" the alternative hypothesis, we only say we "reject" or "fail to reject" the null hypothesis.)* ### Running a t-test -There is a set of statistical tools that can help us whether or not there is a difference between 2 means. This group of tools are called t-tests. +There is a set of statistical tools that can help us determine whether or not there is a difference between 2 means. These tools are called t-tests. Let's briefly remind ourselves of the logic here. 1. Our data are a *sample* of a larger *population* (think of the population as all of the collars ever produced by both companies). - - Remember how we sampled our fish tank data for sick fish instead of getting data for every single tank? Same idea. -2. We're interested in the the difference in the means between the two groups. +2. We're interested in the difference in the means between the two groups. - If they're exactly the same, the difference in means would be 0. - If they're different, the difference between the means will be something either larger or smaller than 0. 3. However, because we only have data from a random *sample* of collars, there will be some variation in our numbers due to sampling error. 4. We want to know if the difference in means is due to sampling error alone or due to an actual difference between manufacturers. -The t-test allows us to determine if the means are different due to the random variation or if it represents an actual difference. +The t-test helps us determine whether the observed difference in means is larger than what we would expect from random sampling variation alone. Let's run some code to perform our first t-test! @@ -111,10 +134,10 @@ Let's talk through it: - `t`: this is what we call the t-value, or t-statistic. - Here, it is a metric of how different the difference of the two means is from 0. - - Note that it doesn't correspond *directly* to the difference --- it is taking into account the actual difference as well as the variation in the data sets. - - Take home: big values (can be positive or negative) indicate a big difference from 0 while small values are mean the difference is close to 0. + - Note that it doesn't correspond *directly* to the difference, it is taking into account the actual difference as well as the variation in the data sets. + - Take home: big values (can be positive or negative) indicate a big difference from 0 while small values mean the difference is close to 0. - `df`: stands for *degrees of freedom* - - It's a measure of your sample size and some other stuff --- honestly, this is not something we're really going to focus on here. + - It's a measure of your sample size and some other stuff, honestly, this is not something we're really going to focus on here. - `p-value`: a measure of certainty of the difference outlined in the `t-statistic` above - For the test above, our p-value is *very* small: 0.00000000000000022 - Wait, how did I get from `2.2e-16` to 0.00000000000000022? @@ -124,7 +147,7 @@ Let's talk through it: - There are a lot of benchmarks in different fields for what this value should be below to consider the difference *significant*; typically a p-value below 0.05 is considered significant. - `95 percent confidence interval`: this is the range that we can expect the test statistic (difference in means) to fall in 95% of the time given the data. - Our test statistic is the difference in means of Budget Collars and Collarium, or 86.8 - 121.5 = -34.7 - - If we randomly sample a group of collars from the "population", the difference in means will fall between -30.35 and -38.98 about 95% of the time + - If we randomly sample a group of collars from the "population", the difference in means will fall between -38.98 and -30.35 about 95% of the time Let's quickly remind ourselves how p-values work: @@ -143,24 +166,42 @@ We want to know if there is a significant difference in the average signal dista 1. Identify your independent and dependent variables. -- **Independent:** maker, categorical -- **Dependent:** signal_distance, continuous - 2. Write out your null and alternative hypotheses. -- **Null Hypothesis** ($H_{0}$): there is *no* difference in average signal distance between collar makers -- **Alternative Hypothesis** ($H_{A}$): there *is* a difference in average signal distance between collar makers +3. Run the t-test. -3. Run the t-test +```{r} +# Write your code here + +``` + +4. Interpret the t-test: + +- Is the p-value below our cut-off for significance (0.05)? +- Is our result statistically significant? +- Does that mean we should or should not reject the null hypothesis? +- So... is there a "real" difference in the means between the two companies or not? + +::: instructor-only +**Answers:** + +1. **Independent:** maker (categorical) \| **Dependent:** signal_distance (numeric) + +2. **Null Hypothesis** ($H_{0}$): There is *no* difference in average signal distance between collar makers\ + **Alternative Hypothesis** ($H_{A}$): There *is* a difference in average signal distance between collar makers + +3. ```{r} -# A t-test for signal distance t.test(signal_distance ~ maker, data = collars) ``` -4. Interpret the t-test +4. + +- p-value below 0.05? **Yes** +- Statistically significant? **Yes** +- Reject or fail to reject null? **Reject** +- Real difference between companies? **Yes** -- Is the p-value below our cut-off for significance (0.05)? ***Yes, p \< 0.05*** -- Is our result statistically significant? ***Yes!*** -- Does that mean we should or should not reject the null hypothesis? ***REJECT*** -- So... is there a "real" difference in the means between the two companies or not? ***Yes, there is a real difference*** +**Instructor Note:** Students should note that signal distance IS significantly different between makers — Budget Collars LLC transmits farther on average (\~4302) vs Collarium Inc. (\~4195). Combined with the battery life result, this confirms the engineering trade-off seen visually in 3.1: Budget Collars LLC trades battery life for signal range. +::: \ No newline at end of file diff --git a/modules/module_3/module3_3.qmd b/modules/module_3/module3_3.qmd index 4179bfa..224bf33 100644 --- a/modules/module_3/module3_3.qmd +++ b/modules/module_3/module3_3.qmd @@ -1,7 +1,25 @@ --- title: "3.3: Comparing (Multiple) Means" +author: "Ellen Bledsoe" +format: + html: + toc: true --- +```{r} +#| include: false +knitr::opts_chunk$set(echo = TRUE) +``` + +# Comparing (Multiple) Means + +## Learning Outcomes + +- Students will be able to explain when to use an ANOVA versus a t-test. +- Students will be able to write null and alternative hypotheses for an ANOVA. +- Students will be able to run an ANOVA using `aov()` and interpret the output. +- Students will be able to run a Tukey HSD post hoc test and interpret pairwise comparisons. + So far in this module, we have discussed comparing the means of two groups in multiple ways: numerically, visually, and statistically. Specifically, we learned about running t-tests to statistically compare the means of two groups. What if we have more than 2 groups, though? Often, we have 3, 4, 12...any number of groups that we might want to compare against each other. How do we do that? @@ -12,14 +30,14 @@ What is an ANOVA? It stands for **AN**alysis **O**f **VA**riance. Why is it called that? Well, ANOVAs compare the amount of variability in the data *between* and *within* groups. In plainer terms, it is looking at how different the data in each group are from each other (within) and also how different the groups are from the other groups (between). -The group of statistical tests called ANOVAs are extensions of the t-test, using the same concepts but allowing us to compare the means of more than two groups at a time. There are lots of different types of ANOVAs, but we are going to stick with the most simple version. +The group of statistical tests called ANOVAs are extensions of the t-test, using the same concepts but allowing us to compare the means of more than two groups at a time. There are lots of different types of ANOVAs, but we are going to stick with the simplest version. ### When to use an ANOVA To run an ANOVA, the following things need to be true: -- The variable that we use to create our groups (independent variable) is categorical. -- The variable that we want to compare between groups (dependent or response variable) is numerical. +- The variable that we use to create our groups (independent variable) is qualitative (categorical). +- The variable that we want to compare between groups (dependent or response variable) is quantitative (numerical). These two aspects above might sound familiar, because they also need to be true for t-tests! @@ -30,28 +48,42 @@ These two aspects above might sound familiar, because they also need to be true Like t-tests, ANOVAs are another example of statistical hypothesis testing. We always want to formulate a null hypothesis and an alternative hypothesis. The generic version of these for any ANOVA are: -**Null Hypothesis** ($H_{0}$): The means of the populations we sampled from are *all equal*.\ -**Alternative Hypothesis** ($H_{A}$): The means of the populations we sampled from *differ from each other*. +**Null Hypothesis** ($H_{0}$): The means of the populations we sampled from are all equal.\ +**Alternative Hypothesis** ($H_{A}$): The means of the populations we sampled from differ from each other. ## Let's Run an Example -Last week, we ran t-tests on the battery life and signal distance variables in order to determine if there was a statistically significant difference between two groups (the collar makers). +In the previous lesson, we ran t-tests on the battery life and signal distance variables in order to determine if there was a statistically significant difference between two groups (the collar makers). What if our large mammal team had deployed collars from *three* different companies rather than just two? How would we compare the means numerically, visually, and statistically? Let's find out. -First up, in small groups, work through the set-up, numeric, and visual sections. We'll spend 15-20 minutes on this. +In small groups, work through the set-up, numeric, and visual sections. + +::: instructor-only +**Instructor Note:** Plan for 15–20 minutes on the set-up, numeric, and visual sections before bringing the class back together for the ANOVA section. +::: ### Set-Up First, as always, we need to load the `tidyverse` and the read in our collars data. This time, use the file `more_collars.csv`. -```{r, message=FALSE, warning=FALSE} -# Load library -library(tidyverse) +```{r} +#| message: false +#| warning: false +# Write your code here + +``` + +::: instructor-only +**Answer:** -# Load data +```{r} +#| message: false +#| warning: false +library(tidyverse) collars <- read_csv("data/more_collars.csv") ``` +::: ### Conceptual @@ -63,13 +95,13 @@ Let's write out our hypotheses. First, for battery life: -- **Null hypothesis**: There is no difference in the average battery life between the three collar makers. -- **Alternative hypothesis**: There is a difference in the average battery life the three collar makers. +**Null hypothesis**: There is no difference in the average battery life between the three collar makers.\ +**Alternative hypothesis**: There is a difference in the average battery life between the three collar makers. Next, for signal distance: -- **Null hypothesis**: There is no difference in the average signal distance between the three collar makers. -- **Alternative hypothesis**: There is a difference in the average signal distance between the three collar makers. +**Null hypothesis**: There is no difference in the average signal distance between the three collar makers.\ +**Alternative hypothesis**: There is a difference in the average signal distance between the three collar makers. ### Numeric @@ -77,16 +109,25 @@ Let's calculate some summary values for our data to get some preliminary informa Calculate the means and the standard deviations (`sd()`) for the battery life and the signal distance for *each* collar maker. +```{r} +# Write your code here + +``` + +::: instructor-only +**Answer:** + ```{r} summary_stats <- collars %>% - group_by(maker) %>% # Group by maker - summarise(mean_battery = mean(battery_life), # Mean (battery) - sd_battery = sd(battery_life), # SD (battery) - mean_signal = mean(signal_distance), # Mean (signal) - sd_signal = sd(signal_distance)) # SD (signal) + group_by(maker) %>% + summarise(mean_battery = mean(battery_life), + sd_battery = sd(battery_life), + mean_signal = mean(signal_distance), + sd_signal = sd(signal_distance)) summary_stats ``` +::: Let's examine the data. Do you think the collar companies are all different from each other? Are there pairs of companies that look more similar? @@ -94,41 +135,65 @@ Let's examine the data. Do you think the collar companies are all different from As always, we love (\<3) visualizing our data, especially as a form of data exploration and comparing means. -First, explore the distribution of battery life by maker using a multiple density plot (no need to add a line for the mean, but you can if you really want to!). +First, explore the distribution of battery life by maker using a multiple histogram (no need to add a line for the mean, but you can if you really want to!). + +```{r} +# Write your code here + +``` + +::: instructor-only +**Answer:** ```{r} -# Battery life - density ggplot(collars, aes(battery_life, fill = maker)) + - geom_density(alpha = 0.5) + geom_histogram(alpha = 0.5, position = "identity") + + labs(x = "Battery Life (days)", + y = "Frequency", + fill = "Collar Maker") + + theme_bw() ``` +::: -Let's do a different type of visualization for signal distance. What type of data visualization have we covered that does a good job of showing both central tendency (median, in this case) and variation (middle 50% and 95% confidence intervals) in one continuous variable? +Now let's do a different type of visualization for signal distance. What type of data visualization have we covered that does a good job of showing both central tendency (median, in this case) and the spread of the data (the middle 50% and the overall range) in one continuous variable? + +```{r} +# Write your code here + +``` + +::: instructor-only +**Answer:** ```{r} -# Signal distance - boxplot ggplot(collars, aes(maker, signal_distance)) + geom_boxplot() + - geom_jitter(width = 0.1, alpha = 0.5) + geom_jitter(width = 0.1, alpha = 0.5) + + labs(x = "Collar Maker", + y = "Signal Distance") + + theme_classic() ``` +::: Based on the numbers and your visualizations, what is your prediction? Are the 3 groups different *enough*, whatever that means? +::: instructor-only +**Instructor Note:** Accept any reasonable prediction here. The goal is to get students thinking about statistical vs. practical significance before running the test. Revisit their predictions after the ANOVA results are in. +::: + ### Statistic Now that we have explored the data numerically and visually, let's interrogate the data statistically. To run an ANOVA, we use the `aov()` function. Some helpful tips about the `aov()` function: -- Unlike the `t.test()` function, the initial output for the `aov()` function isn't particularly helpful. We will want to save it to an object and then look at it using the `summary()` function. -- Like `t.test()`, the syntax for `aov()` is `dependent ~ independent`. +- unlike the `t.test()` function, the initial output for the `aov()` function isn't particularly helpful. We will want to save it to an object and then look at it using the `summary()` function +- like `t.test()`, the syntax for `aov()` is `dependent ~ independent`. First, let's run an ANOVA on the battery life variable. ```{r} -# ANOVA on battery life battery_model <- aov(data = collars, battery_life ~ maker) - -# Summary of model summary(battery_model) ``` @@ -136,26 +201,34 @@ For us, our main focus here in the ANOVA summary is on the `maker` row. We can i We want to pay attention to the following: -- `F-value`: this is our test statistic. It determines our `p-value` (you don't need to know how). +- `F-value`: this is our test statistic. It determines our `p-value` (you don't need to know how) - `Pr(>F)`: this is our `p-value`, which has roughly the same meaning as with a t-test. - We want to know if this value is larger or smaller than our cut-off value. We will stick with 0.05. - - The notation here, `Pr(>F)`, is saying "What is the probability of us getting an F-value larger than the one we have by change alone?" If that probability is less that 0.05 (or 5%), then we reject the null hypothesis that the means are the same. + - The notation here, `Pr(>F)`, is saying "What is the probability of us getting an F-value larger than the one we have by chance alone?" If that probability is less than 0.05 (or 5%), then we reject the null hypothesis that the means are the same. - `***`: the asterisks are reiterating what the p-value tells us, indicating just how small the p-value is. What is our conclusion? Are these means different? #### Practice -How about for signal life? What is your interpretation of these results? +How about for signal distance? What is your interpretation of these results? ```{r} -# ANOVA for signal distance -signal_model <- aov(data = collars, signal_distance ~ maker) +# Write your code here + +``` -# Summary of model +::: instructor-only +**Answer:** + +```{r} +signal_model <- aov(data = collars, signal_distance ~ maker) summary(signal_model) ``` +**Instructor Note:** The result should also be significant. Ask students to state a conclusion in plain language before moving to pairwise comparisons. +::: + ### Pairwise Comparisons ANOVAs are incredibly useful to tell you if there is a difference in the means of *any* of the groups. However, they do not tell you *which* means differ from another. @@ -165,8 +238,6 @@ To figure that out, you need to use a class of tests called "post hoc tests," me The most common post hoc test for these pairwise comparisons is `TukeyHSD()`, but there are others depending on the specifics of your data set. You don't need to worry about understanding the nuances of Tukey's test, but you should know how to run the code and interpret it. ```{r} -# Pairwise comparisons for battery life -# We take the results from the ANOVA and put it in TukeyHSD TukeyHSD(battery_model) ``` @@ -179,21 +250,43 @@ What do these different columns represent? How should we interpret these results? -- Are Collarium and Budget significantly different in battery life? **Yes (p \< 0.05)** -- Are Darn Tuff and Budget significantly different in battery life? **Yes (p \< 0.05)** -- Are Darn Tuff and Collarium significantly different in battery life? **No (p \> 0.05)** +- Are Collarium and Budget significantly different in battery life? +- Are Darn Tuff and Budget significantly different in battery life? +- Are Darn Tuff and Collarium significantly different in battery life? + +::: instructor-only +**Answers:** + +- Collarium vs. Budget: **Yes (p \< 0.05)** +- Darn Tuff vs. Budget: **Yes (p \< 0.05)** +- Darn Tuff vs. Collarium: **No (p \> 0.05)** +::: #### Practice In your groups, run the Tukey's HSD test for signal distance and interpret the results. ```{r} -# Pairwise comparisons for signal distance -TukeyHSD(signal_model) +# Write your code here + ``` How should we interpret these results? -- Are Collarium and Budget significantly different in signal distance? **Yes (p \< 0.05)** -- Are Darn Tuff and Budget significantly different in signal distance? **Yes (p \< 0.05)** -- Are Darn Tuff and Collarium significantly different in signal distance? **Yes (p \< 0.05)** +- Are Collarium and Budget significantly different in signal distance? +- Are Darn Tuff and Budget significantly different in signal distance? +- Are Darn Tuff and Collarium significantly different in signal distance? + +::: instructor-only +**Answers:** + +```{r} +TukeyHSD(signal_model) +``` + +- Collarium vs. Budget: **Yes (p \< 0.05)** +- Darn Tuff vs. Budget: **Yes (p \< 0.05)** +- Darn Tuff vs. Collarium: **Yes (p \< 0.05)** + +**Instructor Note:** Unlike battery life, all three makers differ significantly in signal distance. This means every pairwise combination is statistically different — no two makers are comparable in terms of signal range. +::: \ No newline at end of file diff --git a/modules/module_3/module3_4.qmd b/modules/module_3/module3_4.qmd deleted file mode 100644 index 6ab2b5a..0000000 --- a/modules/module_3/module3_4.qmd +++ /dev/null @@ -1,143 +0,0 @@ ---- -title: "3.4: Combining Data (Joins and Binds)" ---- - -## The Context - -After the series of incidents where a number of the collars made by Budget Collars LLC seem to be failing, our team decided to try and replace as many of them as possible. Besides, their battery life is far inferior. - -We're placing as many collars on as many seals as we can, and we are starting to run short on collars. - -One of our intrepid data science team members found an old box of collars and some data on all of the collars (it was a real challenge getting this data off of an old floppy drive, but she managed). - -### Our Tasks - -We're going to spend the next lessons tackling two tasks: - -**1) First, we'll work to join data sets together.** - -Our main goal is to create a single data set that includes the data we have previously looked at for collars, the data on the new collars, as well as the additional data on the old collars. - -This is a little tricky, as the collar IDs need to be matched up with their counterparts across datasets, and new collars need be added. Unfortunately, the new collars have IDs and some additional data, but we don't know the maker of the new collars. - -**2) Second, we will try to identify the maker of mystery collars.** - -In order to do this, we will skim the surface of machine learning. We can use a common classification algorithm, K-Nearnest Neighbors (KNN), to predict which maker made which of our unidentified collars. Don't worry, we won't go into *too* much detail here, but I want to you to at least have a general idea of how it works. - -## Combining Data (Joins and Binds) - -Often times, we have a lot of data for one project that are related but storing all of the data in one file would add unnecessary redundancy (e.g., data in certain rows would need to be repeated too often). Other times, data has been collected separately and needs to be combined before analysis. - -Being able to join together data from related tables is a key skill in data science, and for working with larger data structures (databases with their own languages, like SQL). - -### The Data - -Let's load in the `tidyverse` and the data we're working. - -```{r message=FALSE} -# Load the tidyverse -library(tidyverse) - -# Loading in the data -collars <- read_csv("data/collar_data.csv") -new_collars <- read_csv("data/new_collars.csv") -old_collars_new_data <- read_csv("data/old_collars_new_data.csv") - -# Tell me about these data, how are we going to join them? -``` - -First, let's explore our data. We want to focus on 2 things here: - -(1) The columns: Which ones match columns in other datasets? -(2) Collar identity: Which datasets have matching collars or new collars? - -```{r} -# View first few rows of each dataset -head(collars) -head(new_collars) -head(old_collars_new_data) -``` - -### Diagramming - -In small groups, talk through the process of combining these three datasets. Think about the following: - -- Which columns match and which ones don't? -- Which rows match and which ones don't? -- Does the order in which we combine datasets matter? - -Draw out a diagram that represents how this process might go. - -## Joins vs. Binds - -Now that we've decided on a process for how to combine our data, let's figure out which functions we are going to use to accomplish this task. - -We have 2 main methods of combining data sets, and they work in different ways. - -### Joins - -Joins are arguably the more complicated of the two types of ways to combine data, but they are, therefore, the more flexible and useful. - -The magic of comes comes because they match up columns of data based on unique identifiers in each row of data. - -In the following diagram, the two example data frames have the column `x1` in common, and each of the values in `x1` are unique (no repeats in the same data frame). When combining the data sets, all of the columns are added, and their rows are matched up to their respective values in the `x1` column. - -This can happen a couple ways, depending on which data frame is the reference and how much data you want to retain. - -![](assets/joins.png) - -### Binds - -The other way we can combine data sets in through binds. Binds act similarly to gluing datasets together. - -They don't match up data based on unique identifiers; instead they match up data by column name (`bind_rows`) or row position (`bind_cols`) - -![](assets/binds.png) - -How should we go about combining our three data sets? Come up with a plan that you think will work. - -## Task 1: Combine Our Data - -### Step 1 - -Our first step in to merge the old collar data with the new data about those old collars. - -```{r} -# Use a left join - -# Full join would accomplish the same thing in this case because we don't have any missing rows - -old_collars_combined <- collars %>% - left_join(old_collars_new_data, by = c("collar_id", "maker")) - -``` - -If we take a look our new data frame, we should hopefully see that the values for `antenna_length` and `weight` have been matched up with their respective collar id. - -Could we have used another tactic to combine these two datasets? What would the pros and cons be? - -### Step 2 - -Now we need to add the new collars to our dataset. What is our best method for combining? - -```{r} -# Add new collars -full <- bind_rows(old_collars_combined, new_collars) -``` - -Let's take a look at our new data frame! Have we correctly accomplished our first task? - -### Saving our New Data - -Now that we've accomplished our first task, we are going to want to use this combined dataset to accomplish our next task, which is using a classification algorithm to help us predict which maker made the mystery collars. - -To save our data as a .csv file that we can use in another analysis, we are going to use a function that exports the dataset (`write_csv`) instead of importing it (`read_csv`). - -The `write_csv` function requires the name of the dataframe to export as the first argument and the name of the file we want to create as the second argument. - -```{r} -# Save our new data -write_csv(full, "data/all_collar_data.csv") -``` - -If we look over in our Files tab, you should see your new .csv file! diff --git a/modules/module_3/module3_5.qmd b/modules/module_3/module3_5.qmd deleted file mode 100644 index cb8d76c..0000000 --- a/modules/module_3/module3_5.qmd +++ /dev/null @@ -1,208 +0,0 @@ ---- -title: "3.5: K-Nearest Neighbor" ---- - -## Machine Learning - -Now, we're going to work through an example of machine learning, which is used in a variety of ways in data science, across industries and disciplines. - -Machine learning is a sub-field of artificial intelligence (AI). Machine learning uses a data-driven approach; a model is typically trained on data with known outcomes, then the model uses that previous knowledge to predict the outcomes of new data. - -Remember, we have 50 unlabeled collars, and we want to be able to predict who made them so we can increase the safety of our fishers. We need to throw out any collars that we think were made by Budget Collars LLC, and only incorporate new collars from our unlabeled batch that we think were made by Collarium Inc. - -Given the data we have from the collars we know were created by Budget Collars LLC and Collarium Inc, our goal is to train a model on collars with known makers to then apply to our unknown collars. - -## KNN in R - -K-nearest neighbors (KNN) is a classification algorithm (e.g., it attempts to predict labels or "classes"). It uses the classes of the nearest neighbors to a new data point (the number of neighbors = k) to predict the class of the new data point. - -![](assets/nearest_neighbor.png) - -You don't need to know the inner-workings of the model or even the code below; all you need to know is the overall concept of how K-nearest neighbors works and what the results mean. - -### How does KNN work? - -Let's start with watch [a video](https://www.youtube.com/watch?v=MDniRwXizWo&ab_channel=AugmentedStartups) that does a nice job explaining the basics of KNN. - -What are your takeaways? - -### Visualizing - -Creating plots that visualize KNN is pretty complicated, so we won't be doing that as a class. However, you can find a nice interactive data visualization [here](http://vision.stanford.edu/teaching/cs231n-demos/knn/). - -Play around with the data visualization. Can you figure out what it is telling you? - -## Classifying Collars - -Now that we have an idea of how KNN works, let's get started with our dataset. - -Here's our overall trajectory: - -1. Load our collars data. - -2. Split the data into collars where we know the maker and collars where we don't. - -3. Split the collars with known makers into 2 data frames: one for training our model and one for testing the model out on data where we already know the answers. - -4. Apply the best model to our collars with unknown makers to get predictions for which maker made the collar. - -First, we need our data! - -### Data Cleaning and Prepping - -```{r message=FALSE, warning=FALSE} -# Load library -library(tidyverse) - -# Load data -full_collars <- read_csv("data/all_collar_data.csv") -``` - -Next, we need to scale our data. - -What does this mean? It means we are transforms the data so that they are all in the same scale. Because KNN uses distances between points to determine neighbors, we need to have our data measured on the same scale. - -Before scaling, battery life (\~100) and signal distance (\~4000) were working in very different ranges, with signal distance being much bigger. Once we scale them, they will both have means around 0 and similar standard deviations. - -```{r} -# Standardize and remove unnecessary data - -# Start with the full data set -knn_data <- full_collars %>% - # Mutate the battery and signal columns to be scaled - mutate(battery_scaled = scale(battery_life), - signal_scaled = scale(signal_distance)) %>% - # Remove columns we aren't using anymore - dplyr::select(-battery_life, -signal_distance, -fail:-weight) %>% - # Make the maker column a factor (categorical) - mutate(maker = as.factor(maker)) - -``` - -Let's summarize and plot the scaled data to see what it looks like. Let's focus on battery life. - -```{r} -# Mean and standard deviation of battery life -knn_data %>% - summarise(mean_bat = mean(battery_scaled), - sd_bat = sd(battery_scaled)) - -# Histogram -ggplot(knn_data, aes(battery_scaled, fill = maker)) + - geom_histogram() -``` - -Right now, we have 3 collar categories because we haven't separated the unknown collars. Let's do that. - -### Known and Unknown Labels - -Before we continue, we need to make separate data frames to work with, one with collars with known makers and one with collars with unknown labels - -```{r} -# Filter collars with unknown maker -collars_to_label <- knn_data %>% - filter(is.na(maker)) - -# We need to save the collar ids before removing them -unknown_collar_ids <- collars_to_label %>% - dplyr::select(collar_id) - -# Remove maker and collar_id columns -collars_to_label <- collars_to_label %>% - dplyr::select(-maker, -collar_id) - -# Back to original dataset: filter collars with a known maker, and remove collar_id -labeled_collars <- knn_data %>% - filter(!is.na(maker)) %>% - select(-collar_id) - -``` - -### Training and Testing Data - -First, we need to train and test our model. We will do that with the data with known collars makers. - -Note: This is where the code starts getting a bit complicated. It's ok if you aren't entirely clear on what everything is doing. - -```{r} -# Randomly choose 30 out of the 100 collars to be our test data - -# We will train the model with the other 70 collars, then test how well that model does using the 30 collars we held back - -# Because we KNOW the actual makers of those 30 collars, we will know if our model made any mistakes - -# Since we are randomly choosing values, we will use set.seed() to make sure everyone in class is getting the same random values -set.seed(411) - -# Randomly select 30 row positions (70%) to pull out -rows_to_pull <- sample(1:100, 30) - -# View random selections -rows_to_pull - -# Remove test data from labeled collars -training <- labeled_collars[-rows_to_pull, ] - -# Pull out the 30 rows for testing -testing <- labeled_collars[rows_to_pull, ] - -``` - -### Training and Testing KNN - -Now that we have training and testing data, we can perform the first phase of KNN. - -We want to know how many nearest neighbors we should use and how well our model works on the testing data. We will use the `caret` package to run these analyses. - -```{r} -# Loading package to do KNN -library(caret) - -# Set seed again -set.seed(411) - -# Training the model and finding the best k value -knn_training_model <- train(maker ~ ., data = training, method = "knn") - -# View results and find that the best k value is 5 -knn_training_model -``` - -Ok, we have determined that our best k value is 5. Now we can use our training model on the testing data to see if it makes any mistakes. We use the `predict` function from `caret` to do this. - -```{r} -# Making predictions with the test data -knn_predict_test <- predict(knn_training_model, testing) - -# This will show us that there are no mistakes! -confusionMatrix(knn_predict_test, testing$maker) -``` - -Great, our model didn't make any mistakes! It is probably ready to apply to our collars of unknown origin. - -## Predicting the Unknown Collar Makers - -We will apply the same model but now to the new data. - -```{r} -# Making predictions for the collars without makers -knn_predict <- predict(knn_training_model, collars_to_label) - -# View results -knn_predict - -# As a table -table(knn_predict) -``` - -We have predictions! Our last step is to recombine our data so that the collars now have their new labels. - -```{r} -# Let's bind the columns together -new_labels <- bind_cols(unknown_collar_ids, knn_predict) - -# View collars now with known makers! -new_labels -``` - -Typically, you would want to replace the columns in the entire dataframe, but we will end here for today :) Our goal of labeling our unlabeled collars is complete! We will deploy any that are now labeled as Collarium LLC. diff --git a/modules/module_3/module3_home.qmd b/modules/module_3/module3_home.qmd new file mode 100644 index 0000000..f4dd19b --- /dev/null +++ b/modules/module_3/module3_home.qmd @@ -0,0 +1,45 @@ +--- +title: "Module 3: Follow That Seal" +format: + html: + toc: false +--- + +## Overview + +With the aquaponics system compromised, the team must turn to wild-caught fish to supplement their food supply, but fishing in Antarctic waters comes with risks. Leopard seals are apex predators in the area, and the radio collars used to track them have been failing unexpectedly. Students are tasked with figuring out which collar manufacturer is to blame by comparing means numerically, visually, and statistically, first using t-tests to compare two groups, then extending to ANOVA and post-hoc comparisons when more than two groups are involved. By the end of the module, students can determine whether differences between groups are statistically meaningful and apply these tools to new ecological contexts. + +## Learning Objectives + +By the end of this module, students will be able to: + +- explain the logic of hypothesis testing, including null and alternative hypotheses +- distinguish between independent and dependent variables and identify each in a research question +- determine when a t-test versus an ANOVA is the appropriate statistical test +- run a t-test using the `t.test()` function and interpret the output, including t-value, p-value, and confidence interval +- run a one-way ANOVA using the `aov()` and `summary()` functions and interpret the F-value and p-value +- run a Tukey's HSD post hoc test using `TukeyHSD()` and interpret pairwise comparisons +- add a vertical reference line to a `ggplot2` plot using `geom_vline()` + +## Lessons & Assignments + +### Lessons + +Each lesson page displays content in **student view** by default. Use the toggle button in the top right corner of the page to switch to **instructor view**, which reveals embedded answer keys and instructor notes. The QMD file, PDF, and any associated data can be downloaded from each lesson's page in either view. + +- [3.1: Leopard Seals](module3_1.qmd) +- [3.2: T-Tests](module3_2.qmd) +- [3.3: Comparing (Multiple) Means](module3_3.qmd) + +### Assignments + +Assignment pages are publicly available in student view only. The QMD file, PDF, and any associated data can be downloaded from each assignment's page. Instructor versions with answer keys are only available to educators. To request access, visit the [Instructors page](../../instructors.qmd). + +- Assignment 1: Comparing Two Means +- Assignment 2: Comparing Multiple Means + +## GitHub + +To clone the entire course or download multiple files at once, visit the [course GitHub repository](). + +**Links are not yet live.** \ No newline at end of file diff --git a/modules/module_4/assets/binds.png b/modules/module_4/assets/binds.png new file mode 100644 index 0000000..aea2c2d Binary files /dev/null and b/modules/module_4/assets/binds.png differ diff --git a/modules/module_4/assets/joins.png b/modules/module_4/assets/joins.png new file mode 100644 index 0000000..11c8357 Binary files /dev/null and b/modules/module_4/assets/joins.png differ diff --git a/modules/module_3/assets/nearest_neighbor.png b/modules/module_4/assets/nearest_neighbor.png similarity index 100% rename from modules/module_3/assets/nearest_neighbor.png rename to modules/module_4/assets/nearest_neighbor.png diff --git a/modules/module_4/assets/r-function-syntax.png b/modules/module_4/assets/r-function-syntax.png deleted file mode 100644 index ddeb462..0000000 Binary files a/modules/module_4/assets/r-function-syntax.png and /dev/null differ diff --git a/modules/module_4/data/all_collar_data.csv b/modules/module_4/data/all_collar_data.csv new file mode 100644 index 0000000..30ceb07 --- /dev/null +++ b/modules/module_4/data/all_collar_data.csv @@ -0,0 +1,151 @@ +collar_id,maker,battery_life,signal_distance,fail,antenna_length,weight +1,Collarium Inc.,141.05317479220514,4170.846997991083,0,7.441049683137828,21.89808786308 +2,Collarium Inc.,121.0921670618851,4134.00476195513,0,5.386726294327846,21.75072596096861 +3,Collarium Inc.,126.02642597016708,4277.101582564608,1,4.815551113154395,24.792463667918703 +4,Collarium Inc.,126.71447667102986,4197.7790340318425,0,5.273131943436047,18.1951866073506 +5,Collarium Inc.,141.010259627129,4172.9933032964045,1,7.651056213392951,20.838808845414633 +6,Collarium 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b/modules/module_4/data/collar_data.csv new file mode 100644 index 0000000..4c0a03c --- /dev/null +++ b/modules/module_4/data/collar_data.csv @@ -0,0 +1,101 @@ +collar_id,maker,battery_life,signal_distance,fail +1,Collarium Inc.,141.05317479220514,4170.846997991083,0 +2,Collarium Inc.,121.0921670618851,4134.00476195513,0 +3,Collarium Inc.,126.02642597016707,4277.101582564608,1 +4,Collarium Inc.,126.71447667102986,4197.7790340318425,0 +5,Collarium Inc.,141.010259627129,4172.9933032964045,1 +6,Collarium Inc.,104.81810818488059,4174.955506348206,0 +7,Collarium Inc.,110.36767499322767,4214.844899700962,0 +8,Collarium Inc.,108.44976782802068,4232.043773903803,0 +9,Collarium Inc.,128.65375430026796,4250.968481375221,0 +10,Collarium Inc.,123.78974933579651,4227.509088844665,0 +11,Collarium Inc.,130.69636669144532,4140.801672423008,0 +12,Collarium Inc.,122.45971577499229,4202.96937709263,0 +13,Collarium Inc.,139.95367944438198,4228.707065452046,0 +14,Collarium Inc.,109.00448727134875,4240.017723780288,0 +15,Collarium Inc.,128.9792302123998,4258.390131896045,0 +16,Collarium Inc.,109.9860974176209,4140.470264987905,0 +17,Collarium Inc.,128.58048438855693,4172.080009759122,0 +18,Collarium Inc.,114.52464399869699,4159.468625046546,0 +19,Collarium Inc.,119.33775283599896,4137.360050012676,0 +20,Collarium Inc.,124.79141115476969,4199.802636172046,0 +21,Collarium Inc.,95.20226817713876,4229.178740403667,0 +22,Collarium Inc.,104.42222920058751,4220.389992240861,0 +23,Collarium Inc.,118.96204742122009,4206.399635518712,0 +24,Collarium Inc.,119.56779844761525,4237.807141353698,0 +25,Collarium Inc.,114.87052341293767,4219.2030188193685,0 +26,Collarium Inc.,126.07594734922974,4199.211503043213,0 +27,Collarium Inc.,125.62089717163886,4210.671295273121,0 +28,Collarium Inc.,147.39737024065985,4126.979677155231,0 +29,Collarium Inc.,116.42275571231707,4216.83393590613,0 +30,Collarium Inc.,124.49584187476987,4151.225921304575,0 +31,Collarium Inc.,115.47468886179242,4193.844406615272,0 +32,Collarium Inc.,124.6727259273278,4205.0526460226465,1 +33,Collarium Inc.,131.65415290623406,4180.446114964672,0 +34,Collarium Inc.,106.98221926931882,4159.781856153344,0 +35,Collarium Inc.,132.04243353128928,4249.888815821739,0 +36,Collarium Inc.,120.11392036899142,4195.741537744812,0 +37,Collarium Inc.,144.6224697070443,4150.462177704308,0 +38,Collarium Inc.,111.95498336803226,4201.781828046767,0 +39,Collarium Inc.,132.60974165238346,4189.8112737515685,0 +40,Collarium Inc.,128.12578696356852,4151.7847345263135,0 +41,Collarium Inc.,113.36202130208383,4224.662765133372,0 +42,Collarium Inc.,130.93150724549724,4194.210430743653,0 +43,Collarium Inc.,108.46940067407634,4179.310274441157,1 +44,Collarium Inc.,106.41164675886061,4176.103739002826,0 +45,Collarium Inc.,127.59877983174124,4193.254285098876,0 +46,Collarium Inc.,119.73677318908366,4159.696866154117,0 +47,Collarium Inc.,100.62009131848474,4199.552892842718,0 +48,Budget Collars LLC,103.02566145988098,4292.92149928009,0 +49,Budget Collars LLC,86.5117514218598,4288.661226431094,1 +50,Budget Collars LLC,83.75870373964665,4278.135511493455,1 +51,Budget Collars LLC,75.18377412300528,4325.516886866866,0 +52,Budget Collars LLC,92.81594590823696,4333.074789469461,0 +53,Budget Collars LLC,80.4062628325247,4304.032780790162,0 +54,Budget Collars LLC,72.16057701939845,4343.6935872960785,1 +55,Budget Collars LLC,86.449269068065135,4313.810427732391,0 +56,Budget Collars LLC,71.89172296333899,4350.152981017353,0 +57,Budget Collars LLC,90.68056762057921,4308.885451400782,0 +58,Budget Collars LLC,86.64065900131779,4304.026759902032,0 +59,Budget Collars LLC,79.40412564203356,4327.625126854336,0 +60,Budget Collars LLC,83.54322730784064,4298.963019750038,0 +61,Budget Collars LLC,106.84249478411188,4325.222575244703,1 +62,Budget Collars LLC,89.3850465404335,4334.211291641946,0 +63,Budget Collars LLC,85.73852327201914,4336.823410833073,1 +64,Budget Collars LLC,87.64608124903887,4296.6334298831,0 +65,Budget Collars LLC,88.10888605902736,4266.44193949338,0 +66,Budget Collars LLC,96.4206873626402,4328.296460694577,1 +67,Budget Collars LLC,80.69368616272281,4305.752154969915,1 +68,Budget Collars LLC,80.19307576304843,4340.987598928302,0 +69,Budget Collars LLC,83.91188187224613,4255.21537359425,0 +70,Budget Collars LLC,86.71256722026718,4299.1313772474205,1 +71,Budget Collars LLC,85.3474701687105,4352.658364582041,0 +72,Budget Collars LLC,68.36565042982119,4264.015545939184,1 +73,Budget Collars LLC,85.98008662335538,4295.460884251199,0 +74,Budget Collars LLC,89.83937438236075,4294.695532445913,0 +75,Budget Collars LLC,71.17865485578197,4248.747427403623,0 +76,Budget Collars LLC,83.18859506315673,4281.441731586385,0 +77,Budget Collars LLC,74.7324857321348,4307.677296441754,1 +78,Budget Collars LLC,97.8565983282057,4287.670570052417,1 +79,Budget Collars LLC,81.64410158237254,4235.5566694542495,0 +80,Budget Collars LLC,99.78494899319482,4365.242029017674,0 +81,Budget Collars LLC,79.55736285757837,4264.637292159998,0 +82,Budget Collars LLC,88.82807427537256,4316.956332005402,0 +83,Budget Collars LLC,81.13444505634033,4316.196693293947,0 +84,Budget Collars LLC,99.29284572912312,4342.978431736432,0 +85,Budget Collars LLC,86.7001317499563,4303.28535956497,0 +86,Budget Collars LLC,84.83794094213154,4313.5167655391,1 +87,Budget Collars LLC,108.87755222533275,4325.603960880115,0 +88,Budget Collars LLC,94.25816547781824,4277.691594586945,0 +89,Budget Collars LLC,83.01234245457377,4314.058654979694,0 +90,Budget Collars LLC,80.99905784796532,4281.206669886821,0 +91,Budget Collars LLC,109.34105329196491,4338.475902354651,0 +92,Budget Collars LLC,101.584529296889,4222.357312062577,1 +93,Budget Collars LLC,86.131139070522,4259.150620808934,0 +94,Budget Collars LLC,84.4907884738419,4276.417819420144,0 +95,Budget Collars LLC,88.2813367405862,4333.622945684419,0 +96,Budget Collars LLC,99.76516134925295,4276.849424426591,0 +97,Budget Collars LLC,92.05999931466647,4291.690614857469,1 +98,Budget Collars LLC,71.19486012386865,4295.824541669095,1 +99,Budget Collars LLC,89.0856015041131,4257.73968226882,1 +100,Budget Collars LLC,74.63253679999961,4310.253605282017,0 diff --git a/modules/module_4/data/hairgrass_data.csv b/modules/module_4/data/hairgrass_data.csv index 3e32355..1b65745 100644 --- a/modules/module_4/data/hairgrass_data.csv +++ b/modules/module_4/data/hairgrass_data.csv @@ -1,481 +1,241 @@ -location_ID,soil_pH,p_content,percent_soil_rock,max_windspeed_knots,avg_uv_index,avg_summer_temp,n_content,hairgrass_density_m2,penguin_density_5m2 -1,4.9,5.49,44.5,14.91,1,15.3,10.8,7.6,6.3 -2,6.94,8.53,50.5,10.97,3,16.2,10,8.9,6.5 -3,4.36,0.0801,88.5,26.46,1,15.4,8.8,7.7,4.9 -4,5.41,1.98,61,23.6,2,14.1,10,7.5,5.6 -5,5.32,6.6,67.1,27.35,2,14.7,11,8.7,6.9 -6,6.49,4.09,42.8,22.65,2,15.7,9.4,7.9,5.7 -7,5.83,3.05,82.7,2.895,3,14.5,11.1,7.5,6.9 -8,4.91,5.83,78.5,17.93,2,13.3,10.5,6.7,5.8 -9,5.73,4.35,48.5,20.7,1,13.2,7.5,5.1,3 -10,5.61,5.54,54.4,7.491,3,16.6,8.8,7.3,5.3 -11,3.34,7.25,38.4,10.27,3,15.1,8.9,7.3,5.1 -12,5.91,6.21,44.5,9.61,3,16,10.1,8.2,6 -13,7.09,3.38,82.4,13.5,2,14.5,10.2,8.6,6.2 -14,6.59,3.01,66.9,25.42,1,12.7,9.8,6.8,5 -15,2.9,1.72,30.1,3.783,1,15.4,10.4,7.9,6.4 -16,4.26,4.86,63.2,30.16,1,14.6,8.7,7.4,4.9 -17,6.53,11,58.5,19.69,2,15.1,11.2,9.6,7.4 -18,5.53,3.96,102,12.6,2,15.7,9.3,7.7,5.7 -19,3.09,1.22,40.3,13.1,0,16.2,11.4,9.4,7.6 -20,3.71,4.46,60.3,20.43,2,16,9,7.8,5.3 -21,5.8,6.17,47.5,28.86,2,16.3,10.8,9.3,6.9 -22,6.07,2.46,37.8,8.441,2,15,10,8,6 -23,4.18,6.37,64.6,28.69,2,15.4,9.8,7.4,6 -24,5.96,3.24,78.9,11.24,1,15.8,9.6,8,5.8 -25,6.66,2.57,96.4,25.07,3,17,10.7,9.7,7.5 -26,6.23,2.32,67.4,15.39,1,15,8.4,7,4.7 -27,4.53,3.79,112,33.58,1,14.6,8.4,7.2,4.7 -28,5.4,3.75,14.1,29.25,3,16.9,10.4,10.2,7 -29,5.84,4.56,63.3,12.7,2,13.8,11.9,8.5,7.3 -30,3.78,0.396,20.7,5.763,1,13.6,8.1,6.2,3.7 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-199,liverwort,20.64737154316816,1.9846588891621335 -200,liverwort,11.436926999462491,1.9931879917184547 diff --git a/modules/module_4/data/old_collars_new_data.csv b/modules/module_4/data/old_collars_new_data.csv new file mode 100644 index 0000000..330a978 --- /dev/null +++ b/modules/module_4/data/old_collars_new_data.csv @@ -0,0 +1,101 @@ +collar_id,maker,antenna_length,weight +30,Collarium Inc.,6.742607307174054,20.209665864861975 +51,Budget Collars LLC,5.986372083827138,25.06154908496379 +60,Budget Collars LLC,5.5596056127022555,18.429954245505428 +19,Collarium Inc.,4.939141745086154,23.091259151679964 +53,Budget Collars LLC,4.9476738217357745,18.60089645107492 +25,Collarium Inc.,5.169740870729678,24.405500588228318 +99,Budget Collars LLC,7.737515588211606,23.006505369537372 +73,Budget Collars LLC,6.924735799719371,17.919857603344852 +100,Budget Collars LLC,4.459305727445795,19.80199584640248 +48,Budget Collars LLC,4.340386369770719,18.68520592027847 +88,Budget Collars LLC,6.718065687354541,20.355225840517665 +12,Collarium Inc.,6.173193837954627,21.245182956929376 +44,Collarium Inc.,7.65431330295257,23.064130805245266 +7,Collarium Inc.,5.312841213309257,23.9933914484654 +55,Budget Collars LLC,5.456129797077943,19.25057200592865 +86,Budget Collars LLC,7.393470866405712,21.96861890005199 +42,Collarium Inc.,4.541337621116111,22.94827375564323 +93,Budget Collars LLC,7.449498533594548,16.122155427947742 +71,Budget Collars LLC,5.337242587214258,21.39605575551023 +83,Budget Collars LLC,4.218443109696537,20.252525450180382 +45,Collarium Inc.,7.265109159494871,21.10619766170342 +62,Budget Collars LLC,5.9210382328222355,22.92876146707251 +5,Collarium Inc.,7.651056213392951,20.838808845414633 +63,Budget Collars LLC,7.629841622638676,19.964316163879115 +16,Collarium Inc.,6.323247400076654,24.391722265923935 +24,Collarium Inc.,6.076902930692613,22.38205167639776 +2,Collarium Inc.,5.386726294327846,21.75072596096861 +96,Budget Collars LLC,5.735171811588259,21.309526784906314 +14,Collarium Inc.,5.52784777791954,26.03631966529095 +69,Budget Collars LLC,6.770968372946241,18.944688906282497 +68,Budget Collars LLC,4.76498028053568,23.381879339541577 +35,Collarium Inc.,4.630844472828251,21.755858319831077 +32,Collarium Inc.,6.31676285483352,22.309453828569943 +52,Budget Collars LLC,5.952748693618911,22.121085439430125 +20,Collarium Inc.,5.574026608149863,21.316803150335737 +22,Collarium Inc.,5.363242155541145,20.436595284549483 +72,Budget Collars LLC,6.801319578032414,20.796573484296044 +81,Budget Collars LLC,6.832484704941644,15.832537197831645 +8,Collarium Inc.,7.26723112189867,21.2539791548867 +26,Collarium Inc.,5.9344569903815225,20.978210952798772 +70,Budget Collars LLC,5.300325329934724,19.51442629460936 +92,Budget Collars LLC,7.781368846966561,21.249803483058923 +1,Collarium Inc.,7.441049683137828,21.89808786308 +11,Collarium Inc.,5.347334445824152,22.934506640117785 +23,Collarium 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LLC,5.882695618548157,17.434700261962636 +9,Collarium Inc.,6.058328892133725,21.90424198164509 +97,Budget Collars LLC,6.3443182976503385,21.459201186068103 +37,Collarium Inc.,6.683962782908566,23.05431298113524 +54,Budget Collars LLC,5.731554339975772,23.611372999495202 +94,Budget Collars LLC,6.673110778945453,19.41338193372408 +77,Budget Collars LLC,5.678548578346787,20.902299161756712 +66,Budget Collars LLC,6.257211116168513,18.052444486902434 +15,Collarium Inc.,8.958491784604764,21.26236134320608 +10,Collarium Inc.,6.221260002342018,21.379847341874523 +50,Budget Collars LLC,4.968090749930007,23.00313571567724 +80,Budget Collars LLC,6.713665596319393,21.54100197890702 +21,Collarium Inc.,3.9983270063097147,23.17617561803206 +87,Budget Collars LLC,7.311557691345843,22.510500037147438 +89,Budget Collars LLC,5.777584986559515,21.21630926454194 +18,Collarium Inc.,6.02365470898383,22.675308963695485 +40,Collarium Inc.,4.13884719280234,21.46014771416562 +36,Collarium 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LLC,6.059668331482157,21.47655326206518 +31,Collarium Inc.,4.515043890776944,21.989829729868426 +6,Collarium Inc.,4.946670393629738,22.950883366536996 +75,Budget Collars LLC,5.764448756138593,21.116179487177426 +39,Collarium Inc.,6.688635417331819,22.225473409770625 diff --git a/modules/module_4/data/penguin_chicks.csv b/modules/module_4/data/penguin_chicks.csv deleted file mode 100644 index 14f7884..0000000 --- a/modules/module_4/data/penguin_chicks.csv +++ /dev/null @@ -1,3201 +0,0 @@ -chick_ID,site,avg_tussocks,dist_open_water -1,Cape Royds,7.528183309964453,8.801327286942312 -15,Cape Royds,6.672933856928177,9.953285417412474 -17,Cape Royds,6.135715012187574,12.528954272742657 -21,Cape Royds,6.495235447899651,9.64433604911505 -54,Cape Royds,6.627822613825244,9.192124090675213 -80,Cape Royds,6.8117103739605,9.362385707119296 -100,Cape Royds,5.987593950313221,10.632144607274277 -148,Cape Royds,7.015462815274699,9.440532756203464 -168,Cape Royds,6.264628447053283,10.43003495339251 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-718,Cape Royds,7.047622449099153,10.42752885006587 -764,Cape Royds,7.0058559148610495,9.802460039682499 -766,Cape Royds,6.8322782573586505,8.000291886076603 -776,Cape Royds,7.128655829758957,9.533302942823932 -792,Cape Royds,7.2164541461876555,9.17693009044364 -811,Cape Royds,6.6848325471123085,10.657730940691303 -818,Cape Royds,7.081640340583959,8.12830694048028 -819,Cape Royds,6.3663827134023245,9.868839788831734 -836,Cape Royds,7.931933071292137,10.099565589656306 -863,Cape Royds,6.326021465505368,8.739297892213267 -868,Cape Royds,6.288111665609682,8.431025797338744 -882,Cape Royds,6.5158302259542635,10.317282687805712 -907,Cape Royds,6.978468528998798,11.011028257199197 -910,Cape Royds,6.811586317354853,10.527994672458934 -948,Cape Royds,7.434040451112921,11.144088144950173 -990,Cape Royds,6.621458799348122,8.7387441074033 -998,Cape Royds,6.83047085774,10.388024534367286 -1000,Cape Royds,7.462674208612307,10.53806494194164 -1010,Cape Royds,7.004275215142728,10.110758752498601 -1018,Cape Royds,7.583183282755166,8.587521055567594 -1029,Cape Royds,5.859091662653274,10.171706299489372 -1073,Cape Royds,6.931878140839179,9.668694277631877 -1075,Cape Royds,7.347365226257341,11.119102276975852 -1076,Cape Royds,7.790514150058813,10.166759498457512 -1122,Cape Royds,6.873236556677849,10.029254204751862 -1156,Cape Royds,6.757351602332542,8.340494105131599 -1166,Cape Royds,6.485449871833113,11.367205748547148 -1176,Cape Royds,6.720713605606256,8.808360683671918 -1197,Cape Royds,6.7033441104427975,9.598271148133115 -1202,Cape Royds,6.57240405418623,12.081324211396202 -1209,Cape Royds,6.700601533085667,10.094885410617318 -1211,Cape Royds,6.93256932131316,11.492262632050121 -1255,Cape Royds,6.588009801026634,10.776220795297498 -1264,Cape Royds,6.708326054320156,10.087404529900823 -1274,Cape Royds,6.568423153781544,9.329597636139388 -1297,Cape Royds,7.61885456093182,11.341787867870142 -1307,Cape Royds,6.592622379970288,9.48946932063425 -1330,Cape Royds,7.903614693608093,9.542652944554579 -1334,Cape Royds,6.75922256979835,9.197714868507264 -1373,Cape Royds,6.745466962572941,8.862181034540235 -1381,Cape Royds,6.169210242489391,12.17662814719383 -1387,Cape Royds,7.137769110467919,10.543433638469843 -1390,Cape Royds,7.25569163370499,8.193483495294506 -1419,Cape Royds,7.457894473610027,9.438518993291318 -1443,Cape Royds,8.393895651539228,10.157650498575729 -1462,Cape Royds,7.971333756272795,8.831238745440336 -1487,Cape Royds,7.140374148950352,10.277079914560229 -1501,Cape Royds,7.765705520140788,10.178577116876063 -1508,Cape Royds,6.8826263124007845,12.684535986280919 -1518,Cape Royds,6.614877340947386,11.445331859924801 -1549,Cape Royds,6.5626109407560325,9.660388120103477 -1558,Cape Royds,6.979551096245094,8.837939387093328 -1561,Cape Royds,7.339071651343957,11.26339964395041 -1566,Cape Royds,7.5660875765268525,11.015047179546613 -1572,Cape Royds,7.3136643977421185,8.284153284987884 -1584,Cape Royds,6.226575364118487,9.203843587412138 -1604,Cape Royds,7.038838581972785,10.594781112304338 -1629,Cape Royds,7.199205178033439,10.238695666749502 -1650,Cape Royds,7.1394752096996354,10.238229655673027 -1696,Cape Royds,6.832659335570484,10.338207428098112 -1722,Cape Royds,6.557865601426477,9.89119126392013 -1803,Cape Royds,7.524385594616161,10.434029553719428 -1807,Cape Royds,6.381255190740468,11.21448017710776 -1828,Cape Royds,7.142053124966069,9.738240845458703 -1834,Cape Royds,6.795007831136133,10.967263367030935 -1848,Cape Royds,7.89390486561091,10.614748491795321 -1896,Cape Royds,7.358514141675822,10.013365608778596 -1897,Cape Royds,7.582667901876103,9.680554569873813 -1899,Cape Royds,6.991804164298511,9.046423655308569 -1929,Cape Royds,7.415949574625275,9.444207724762064 -1937,Cape Royds,6.396962416272157,9.686174011821642 -1956,Cape Royds,6.761632269488296,9.92940370511613 -1959,Cape Royds,6.764385990029491,9.453486453227457 -1965,Cape Royds,6.604236743147431,9.727007325155745 -1970,Cape Royds,6.879140523003032,10.959010238095676 -1983,Cape Royds,7.116008276332155,11.362595811235009 -1993,Cape Royds,7.172506866061642,11.203343280083823 -2014,Cape Royds,7.8900729221908925,9.807713929774659 -2026,Cape Royds,6.838332488858153,9.923027920126723 -2032,Cape Royds,7.1015461814642125,11.476407605559704 -2118,Cape Royds,7.844980009458521,10.776767171620536 -2138,Cape Royds,6.617867828514785,9.918512726136417 -2169,Cape Royds,7.585072953665795,10.682168563989912 -2204,Cape Royds,7.215119671979378,10.100771037484389 -2222,Cape Royds,7.655935628334414,10.470720280472424 -2226,Cape Royds,6.747971609383898,12.076476751835285 -2236,Cape Royds,8.062170820691454,10.748065479624975 -2239,Cape Royds,6.957249989362469,10.711459269803031 -2245,Cape Royds,7.04408718494805,9.445025494785538 -2246,Cape Royds,7.206079228551967,9.570132282746554 -2269,Cape Royds,7.726932918794869,8.157614020679748 -2316,Cape Royds,7.201211562209898,11.284009758353898 -2405,Cape Royds,6.843154054091472,9.2920092522456 -2419,Cape Royds,7.416745898647457,9.127866470375682 -2431,Cape Royds,7.145537537217949,8.088753852588564 -2433,Cape Royds,7.237150501197752,10.681913493542794 -2436,Cape Royds,6.481822014752619,10.491930677970307 -2438,Cape Royds,6.673858707871638,9.545730456743128 -2450,Cape Royds,7.47644305139194,9.44609549639675 -2466,Cape Royds,7.25483049169763,10.554307475451814 -2481,Cape Royds,6.433605669386555,9.616650280973307 -2487,Cape Royds,6.758485408251219,9.950261203686933 -2505,Cape Royds,6.953060454741143,10.267141993465252 -2518,Cape Royds,6.606935323371131,10.1725135811192 -2520,Cape Royds,6.578257752193123,8.453581871117228 -2547,Cape Royds,7.780763111778169,9.467831994678463 -2623,Cape Royds,7.847118089019108,9.199128936412295 -2679,Cape Royds,6.175422083764284,9.96925339555254 -2688,Cape Royds,6.332154585378116,9.863902561218772 -2696,Cape Royds,6.99594788989924,10.075251405178188 -2708,Cape Royds,5.94520162409035,9.419404455907747 -2716,Cape Royds,6.509190693053881,9.591515192997111 -2728,Cape Royds,7.096808581744363,8.442257766511412 -2743,Cape Royds,7.533112767765518,10.507681307861139 -2744,Cape Royds,6.4195513451994914,9.979961176630935 -2766,Cape Royds,7.127174790523827,8.13312244778022 -2775,Cape Royds,6.155058438157229,10.547263643094773 -2789,Cape Royds,7.103261169649135,9.642678601129376 -2892,Cape Royds,6.750139169196238,9.549670313010063 -2914,Cape Royds,6.745081427474876,9.570565519089975 -2948,Cape Royds,6.674578963289004,10.800998962734317 -2976,Cape Royds,7.056354154969351,11.047765373139448 -3003,Cape Royds,7.261190820746342,11.32634175001834 -3006,Cape Royds,7.706349643054045,10.584773130772561 -3026,Cape Royds,7.1981865442981885,11.336435040468695 -3065,Cape Royds,7.434461543651769,11.52071901809387 -3085,Cape Royds,7.31823173301531,9.37386955588322 -3086,Cape Royds,7.283129205155767,9.716629553871767 -3094,Cape Royds,6.785688975250588,11.551226837740892 -3107,Cape Royds,6.997824911566265,10.506492737937903 -3112,Cape Royds,7.407788476964519,9.47939302965775 -3142,Cape Royds,6.994509952258451,8.538232900820347 -3152,Cape Royds,6.716123993346787,9.958879717885246 -3169,Cape Royds,6.834610613656938,8.866574258811367 -11,Erebus East,10.23389849657238,126.04304933298228 -12,Erebus East,10.584885096191991,124.49487776121983 -16,Erebus East,10.22368663674451,124.05217330890838 -47,Erebus East,9.296440387983507,124.12339079275513 -81,Erebus East,10.519762184553109,125.77956711825733 -120,Erebus East,9.998642903351579,123.65879551414939 -126,Erebus East,10.087105106858022,124.35059722358956 -162,Erebus East,10.136252928265936,125.69350057799896 -193,Erebus East,10.354124698285876,124.09359215122987 -219,Erebus East,9.668739506079806,124.75750492948966 -224,Erebus East,10.309021073734897,124.94066643023707 -229,Erebus East,10.476072371370662,124.62728568762256 -253,Erebus East,10.594365836584613,125.10291547840477 -268,Erebus East,10.113600182043989,125.94014468312558 -293,Erebus East,10.12131326542496,125.48303355333958 -304,Erebus East,10.457728035740315,124.09509537316129 -319,Erebus East,10.619867493385536,124.53878193900923 -327,Erebus East,9.692102671757269,123.65605046862392 -328,Erebus East,10.279199504299422,124.84486946908387 -334,Erebus East,10.575111653594169,125.62299929693695 -340,Erebus East,10.110596370355061,125.39291553923988 -343,Erebus East,9.601092239899982,125.62248914219434 -360,Erebus East,9.574577047656055,123.97037499838892 -425,Erebus East,9.490607477234215,124.66549685077302 -434,Erebus East,10.54525481888406,124.02702751088604 -438,Erebus East,9.999779138650036,125.84131766520218 -450,Erebus East,10.269837049073864,125.16683553132432 -475,Erebus East,9.97300998428061,126.01354996825427 -489,Erebus East,10.874540867559826,127.04075062245455 -492,Erebus East,9.578980039164222,123.5928026603111 -493,Erebus East,10.003243599011125,125.3904891325636 -519,Erebus East,9.033608236902317,125.6762091648958 -532,Erebus East,9.705800145440884,124.27998243070246 -544,Erebus East,10.749099990093569,125.16593747019617 -548,Erebus East,9.762502058939925,124.85880508690056 -554,Erebus East,10.693043436188947,125.50576541232236 -593,Erebus East,9.152643331012897,125.48121233233599 -633,Erebus East,10.218275012040106,125.8168447653825 -688,Erebus East,9.45115313208589,123.35895012241902 -690,Erebus East,9.93080456430363,124.37490558252748 -691,Erebus East,9.3500364490058,123.83750346069684 -694,Erebus East,9.860206435986099,124.62999407749157 -702,Erebus East,9.19801211855711,125.69687841625006 -790,Erebus East,10.610232633692391,125.15295818343093 -806,Erebus East,11.021119793984155,125.01086663941167 -810,Erebus East,10.163311696566796,125.77783086235728 -812,Erebus East,10.211253146307762,123.21797356467829 -852,Erebus East,9.348281469272546,125.20203953191513 -884,Erebus East,10.930399949558293,124.97891186294724 -891,Erebus East,9.721506324860869,125.08358941764179 -897,Erebus East,10.010801288979758,125.77412865593983 -911,Erebus East,9.585792887820872,125.8233435824402 -949,Erebus East,9.432801730429432,124.38121487242323 -953,Erebus East,9.448405438146178,124.0841139061952 -1021,Erebus East,10.421201789518465,124.70271706476576 -1041,Erebus East,11.16725101372581,123.73651827097346 -1072,Erebus East,10.040632711941102,124.24701709022395 -1079,Erebus East,9.38133406841968,126.41881008900248 -1096,Erebus East,10.4325069932786,126.60710417652565 -1103,Erebus East,10.108479930465009,126.05698452849558 -1109,Erebus East,10.67749203479796,126.23621915873343 -1160,Erebus East,9.298505958860584,126.68054988825419 -1187,Erebus East,9.957940137655227,123.7576883107561 -1204,Erebus East,10.426339188510056,125.01355180327843 -1238,Erebus East,10.19520132972084,126.18341966895602 -1240,Erebus East,9.555277152898213,126.96186565111194 -1261,Erebus East,9.635614379105244,126.00741077427645 -1345,Erebus East,10.301452195625775,126.46484753983414 -1380,Erebus East,10.001773989266612,124.26594551299404 -1401,Erebus East,9.644008268375156,125.17879293696394 -1422,Erebus East,10.11806955787118,125.2929510496451 -1467,Erebus East,9.174985430016346,126.89895824464406 -1468,Erebus East,10.429787426491007,125.5456514789607 -1492,Erebus East,9.163631672073437,124.0297255129207 -1529,Erebus East,9.97728379952465,126.01856513313112 -1542,Erebus East,10.197526201172115,125.41070589449552 -1579,Erebus East,9.724311117084396,125.57323493025612 -1594,Erebus East,9.68729020864311,124.80058819203657 -1603,Erebus East,9.82577536409478,123.89547771118423 -1653,Erebus East,9.816085241864299,124.4120634889857 -1660,Erebus East,10.005015782800859,125.11509870694934 -1718,Erebus East,9.667854519584473,124.6923214680856 -1744,Erebus East,10.430882425330045,127.3673848224422 -1822,Erebus East,10.435735106876448,124.50128149949175 -1845,Erebus East,10.283701589329445,127.27694851834634 -1847,Erebus East,9.895306478733561,124.99370990397333 -1859,Erebus East,10.53005264453448,124.5142313774766 -1861,Erebus East,9.372157625061467,126.23811339595092 -1862,Erebus East,9.38193884934104,126.27304122477369 -1866,Erebus East,10.381932666246744,125.19712632483935 -1920,Erebus East,10.575085086492766,125.90767233913778 -1963,Erebus East,10.062715140549452,125.9288400236715 -1967,Erebus East,9.73025261275833,124.05004204798726 -2006,Erebus East,9.574185454272875,124.77725356184473 -2018,Erebus East,9.880375170561962,125.51790894686637 -2036,Erebus East,9.704190703734952,123.74285601491405 -2060,Erebus East,10.103727389825092,124.102627158266 -2069,Erebus East,10.136624902722073,127.27889636060691 -2078,Erebus East,9.321556137283006,125.23869613049555 -2081,Erebus East,9.813013824261148,125.38337341432562 -2083,Erebus East,9.31406741164365,125.07498404067238 -2105,Erebus East,9.43977049431053,123.95234112341336 -2116,Erebus East,10.524623382924341,126.83352390339613 -2125,Erebus East,9.663025457983409,126.02099976589204 -2128,Erebus East,9.809528115059038,122.75603702394775 -2136,Erebus East,9.8123269688917,124.02258878490409 -2162,Erebus East,9.72959707809072,125.08440278700594 -2200,Erebus East,9.889389800473054,124.77959655781831 -2238,Erebus East,9.3561142860912,123.90138594891721 -2243,Erebus East,9.881222927590748,124.8785988341324 -2255,Erebus East,10.154127218454919,123.58749936754776 -2261,Erebus East,9.19888777114833,124.5774854928435 -2264,Erebus East,10.483009013181178,126.10308649964753 -2327,Erebus East,10.254197454397746,125.21252375689309 -2328,Erebus East,8.971225801276777,125.84209510103133 -2334,Erebus East,10.993063313980768,124.27621290755368 -2349,Erebus East,10.319157524139776,125.91109325624652 -2360,Erebus East,9.89569215566773,125.10317522511889 -2365,Erebus East,8.819655894172937,126.67352678779142 -2411,Erebus East,10.143558231644318,123.92243118588517 -2427,Erebus East,10.83194950856962,125.22017902780944 -2434,Erebus East,10.684238117017491,125.20281704214794 -2441,Erebus East,10.017250076699563,123.11272146323235 -2444,Erebus East,10.425132379789092,124.63867872158312 -2446,Erebus East,9.560192215566756,125.82805406431855 -2482,Erebus East,9.641181728374269,125.51651629027218 -2495,Erebus East,10.000102632432698,125.42638077799718 -2496,Erebus East,9.937117364473158,125.3676411744449 -2499,Erebus East,9.853698456836506,124.78623447770893 -2514,Erebus East,9.914814194857392,123.93391269439226 -2527,Erebus East,10.863396805116766,124.30818609476016 -2576,Erebus East,9.963819201184322,123.46800489839406 -2596,Erebus East,10.857630888974414,125.51494279611404 -2599,Erebus East,10.085756464556017,125.95392335507587 -2651,Erebus East,9.418667233161212,125.28509909911934 -2699,Erebus East,10.785973971144417,126.7844184703812 -2714,Erebus East,9.378221629738297,124.50935718899146 -2719,Erebus East,9.647559856109206,122.60289545643516 -2748,Erebus East,10.337871979517368,124.49069885453783 -2753,Erebus East,9.941826425045745,126.65834701369147 -2767,Erebus East,9.939079201580848,125.62994260003848 -2793,Erebus East,9.394566029851301,123.60223929672438 -2813,Erebus East,10.367998175915863,125.7329369080202 -2851,Erebus East,9.306355397004022,125.16603985268878 -2868,Erebus East,10.326206985746962,124.98377995858537 -2879,Erebus East,9.222122817747486,122.94250253882701 -2920,Erebus East,9.470262803004847,124.21936003397389 -2959,Erebus East,9.416861618006939,125.27408952468117 -2997,Erebus East,9.066061306093015,125.90471424597212 -3014,Erebus East,10.528685473626807,123.93743994621671 -3021,Erebus East,9.616453779855151,123.30143688646803 -3035,Erebus East,10.566724970035855,126.7064691976699 -3049,Erebus East,9.378043317572661,123.8074056935549 -3052,Erebus East,9.773378936879284,126.57338030275864 -3053,Erebus East,9.684014491176423,124.99592060058504 -3062,Erebus East,10.693066132754002,125.07990973194644 -3072,Erebus East,9.301124207077159,123.88144090526377 -3078,Erebus East,9.947010302955103,126.57368140980297 -3096,Erebus East,10.902513019719628,126.19169615821127 -3125,Erebus East,10.750259706190159,125.36139982365431 -3143,Erebus East,10.21413849482648,125.64761773947586 -3172,Erebus East,9.724921707261535,125.89903841806793 -3188,Erebus East,9.501005858281177,125.14811361984516 -3200,Erebus East,9.483615276500982,122.81531652900935 -14,Erebus West,2.791886084311185,122.01422213784947 -37,Erebus West,3.35278981246149,122.62659075305675 -70,Erebus West,3.8456944042411334,121.16357808081638 -122,Erebus West,3.085311122294891,123.51719874803692 -131,Erebus West,3.3649164765745865,122.12384586914202 -145,Erebus West,3.1481324574319896,120.6192202840838 -174,Erebus West,3.033968081058939,121.27115689254522 -184,Erebus West,3.477240681480802,121.85857660260174 -227,Erebus West,3.2699576445814045,123.07880830641824 -302,Erebus West,3.1383996486836696,122.41311939128002 -316,Erebus West,3.367523577972519,120.87100791580335 -324,Erebus West,3.1762571227029204,123.39239090928662 -329,Erebus West,1.7822974104854599,120.82379672160961 -337,Erebus West,3.2929448814514957,121.36959190193951 -364,Erebus West,3.4359878607666063,121.53395689580677 -384,Erebus West,3.6161491674808866,123.8989508562072 -417,Erebus West,3.0607351417577586,123.70913968021709 -451,Erebus West,2.394224090249925,122.04491025319604 -470,Erebus West,2.8802904142364327,121.25428385077679 -491,Erebus West,2.101876072527596,122.50572716700137 -497,Erebus West,2.5855639180196066,123.69717471941759 -524,Erebus West,1.6837196194354849,121.40895316581955 -561,Erebus West,4.00056870354022,122.27820999115026 -612,Erebus West,3.0232935916323163,120.52524199710562 -650,Erebus West,2.6253982564444436,124.00056846390889 -652,Erebus West,2.9761733450266354,121.57635650056494 -665,Erebus West,3.1728320973413315,122.44061427048007 -674,Erebus West,2.2738278783447017,123.1025388032614 -701,Erebus West,3.118180189207548,122.37188459210905 -743,Erebus West,2.694036682286419,122.6149848470797 -761,Erebus West,3.013535544183363,121.31239737001792 -775,Erebus West,2.7151513242133603,123.31510203695011 -845,Erebus West,3.350831364285388,120.62137642636732 -848,Erebus West,3.0390609283608234,122.54562826609677 -850,Erebus West,2.3275316279954232,122.37078172855017 -886,Erebus West,3.534008710513783,123.2448572697441 -898,Erebus West,2.2198472015698947,122.14287314826771 -904,Erebus West,2.8370443179097187,121.85240940373505 -983,Erebus West,2.5120557886058683,123.53202634582989 -997,Erebus West,2.9571948634846805,122.33263231230093 -1016,Erebus West,2.3896882048672867,121.78494630381209 -1017,Erebus West,3.881224514209189,121.70110234352897 -1055,Erebus West,3.182989104900215,120.99211015391543 -1060,Erebus West,3.185327839894387,122.44953276233814 -1065,Erebus West,2.6364666071815894,122.3031992193665 -1090,Erebus West,3.18430700010796,123.13999391071027 -1131,Erebus West,1.8652203985072733,122.19598392900365 -1134,Erebus West,2.3618925842558975,123.7132102008175 -1148,Erebus West,2.448213460726467,120.25146817091708 -1159,Erebus West,2.990595731192633,122.54145713803679 -1212,Erebus West,3.159321136297043,121.22264295297157 -1252,Erebus West,2.423459986208144,122.19381397818704 -1279,Erebus West,3.1400053556722396,122.33736378122234 -1293,Erebus West,2.9096340942348364,122.67222100471014 -1322,Erebus West,2.797881465948927,123.36328518353795 -1352,Erebus West,2.1276093350559124,122.0251030526336 -1415,Erebus West,2.7659903875979115,122.21487489707361 -1426,Erebus West,3.1769906157775534,122.70698437901063 -1437,Erebus West,2.7044462723889438,122.68578479777906 -1511,Erebus West,3.3417498477801835,122.1286239173828 -1524,Erebus West,3.140334493326124,121.63116509526928 -1587,Erebus West,2.6876792599440282,122.706269385616 -1620,Erebus West,3.078890498255062,122.24258118891233 -1625,Erebus West,2.805877904778662,121.78042150635495 -1670,Erebus West,2.7100816252718096,121.50294678136027 -1697,Erebus West,2.8224083383334047,120.04916473890482 -1703,Erebus West,2.515471189361611,121.43305631817775 -1738,Erebus West,2.906779518292176,121.78389445286288 -1740,Erebus West,3.2219335016796316,121.64862820218663 -1748,Erebus West,2.306265364527735,120.52322865277756 -1769,Erebus West,3.484393057104375,122.20910354222947 -1787,Erebus West,2.85192021867807,121.35614886109379 -1870,Erebus West,3.2011771629420704,122.82764916196605 -1881,Erebus West,2.692109963326327,122.40713713737242 -1893,Erebus West,3.2553556879912686,122.52542407994547 -1902,Erebus West,2.7299721171755618,122.66516026723252 -1933,Erebus West,3.1289573395907473,121.52090483472227 -1944,Erebus West,2.8589330006071183,120.51433665791173 -1971,Erebus West,3.6638094882322925,124.09356886462548 -1975,Erebus West,3.6378895983319133,122.76558770841737 -1979,Erebus West,3.4097735787470587,123.0579636509247 -2017,Erebus West,3.1719420143230113,123.51381537918498 -2023,Erebus West,4.542797138597764,120.83945130395993 -2031,Erebus West,3.2398958813639527,120.96700637211308 -2057,Erebus West,3.4927896929703,122.15172628837637 -2082,Erebus West,3.136627167261658,122.22591395151147 -2094,Erebus West,3.476097387596143,121.92535843500826 -2104,Erebus West,3.5829461251423345,122.66564211333089 -2106,Erebus West,3.1548271658803166,120.09298884044311 -2122,Erebus West,2.7876903846865777,122.02190590771255 -2184,Erebus West,3.6201808722214217,121.17083741328499 -2215,Erebus West,2.413141982745894,122.78895878296721 -2242,Erebus West,3.5355762905698462,119.90275348840528 -2249,Erebus West,1.8008343896970378,122.39358037665961 -2281,Erebus West,3.1416183321583993,121.985133548654 -2304,Erebus West,2.5591009029107483,120.5485160222113 -2317,Erebus West,3.1555705020710048,121.38959381146793 -2348,Erebus West,2.6659105344236074,125.15551454798393 -2373,Erebus West,3.3691816282364626,122.05789876129555 -2403,Erebus West,3.2106134219925755,122.28339566958782 -2406,Erebus West,3.260030976018405,121.4959935305763 -2429,Erebus West,2.767517447812065,123.8005239211499 -2458,Erebus West,2.0876936064033575,121.03167618255145 -2488,Erebus West,3.344396548589378,122.83570737850961 -2515,Erebus West,3.0632786767677453,122.50860531210417 -2521,Erebus West,2.3720571254502505,121.38031121013894 -2543,Erebus West,2.7963297162699665,121.97076097309183 -2571,Erebus West,3.295100130830627,121.43761215827752 -2574,Erebus West,3.1222829532702225,122.9430931701234 -2633,Erebus West,2.460983461826496,122.55013390724764 -2671,Erebus West,2.740106755344381,122.00874157607547 -2681,Erebus West,2.6060848515902704,120.49846497807312 -2745,Erebus West,2.9710963983348364,123.57028052834991 -2791,Erebus West,2.7626689247625924,122.79008962296805 -2800,Erebus West,2.961352936880136,121.29311436642425 -2834,Erebus West,3.464658515144986,122.26531783346917 -2837,Erebus West,3.283812003443526,120.68816789957836 -2838,Erebus West,3.6978669818240775,122.40500139914894 -2843,Erebus West,2.486160302901148,120.94601349927215 -2849,Erebus West,3.2944537600103176,121.68218392167566 -2852,Erebus West,3.241528321227311,122.68559808495355 -2873,Erebus West,3.491350591978647,121.97452350015938 -2900,Erebus West,2.4467001968032376,121.83576072081755 -2907,Erebus West,2.4059097633471183,123.33510378920218 -2910,Erebus West,2.8509767958231427,121.89616063651044 -2932,Erebus West,3.32553806639395,122.17008202298099 -2943,Erebus West,2.9125048291121445,122.80030969651595 -2956,Erebus West,2.4671803626018374,122.6143386201423 -2964,Erebus West,1.8782484933184858,119.94175534842755 -3041,Erebus West,2.1626237187054804,122.69934362098817 -3050,Erebus West,2.6034523468495414,122.42583875634541 -3051,Erebus West,3.0820837555925786,122.3758373661018 -3146,Erebus West,3.449608842081732,123.59760499259413 -3147,Erebus West,3.751801399300742,121.19321581880595 -3166,Erebus West,2.8433159645189456,123.23929792008283 -3168,Erebus West,3.5607673275052587,122.18596807107313 -3178,Erebus West,2.900287827561054,120.29372540900299 -55,Ferrar Coast,1.0422728206173288,501.13209852771814 -74,Ferrar Coast,0.9928890540780417,501.45241968992747 -75,Ferrar Coast,1.4076089318004106,499.88227047405326 -83,Ferrar Coast,1.0160590811453971,497.64742528998113 -84,Ferrar Coast,1.2037520617141029,499.77241687988544 -87,Ferrar Coast,0.6287312129757253,501.0081857557976 -103,Ferrar Coast,1.2266302030466352,500.73142685404395 -104,Ferrar Coast,1.6943717696950948,499.93268110743827 -110,Ferrar Coast,1.247459444132037,500.15155044439604 -114,Ferrar Coast,0.3235483966830107,498.81795383848095 -156,Ferrar Coast,1.4814918647191244,499.5607067698778 -183,Ferrar Coast,0.9116064749112464,500.0733924904601 -199,Ferrar Coast,0.06786222674030695,501.85644189495395 -211,Ferrar Coast,0.6722897179885143,500.38312336037734 -237,Ferrar Coast,0.3518881914648945,501.77076237818653 -309,Ferrar Coast,1.5788918312165625,497.85005688846996 -311,Ferrar Coast,1.1205145422769553,500.6440314594254 -315,Ferrar Coast,1.3744650180827216,499.059829851871 -361,Ferrar Coast,1.1473520184641,501.42319460873534 -365,Ferrar Coast,0.0992548318652392,499.38630184665857 -378,Ferrar Coast,1.494438969359542,501.28087190847276 -379,Ferrar Coast,1.3641447365760961,499.979094788753 -383,Ferrar Coast,1.2412367011550665,500.4276995679981 -418,Ferrar Coast,0.8895750742800397,499.94784514133545 -422,Ferrar Coast,1.378211505827991,500.5433257930153 -423,Ferrar Coast,1.5343400366693822,500.9820627221953 -452,Ferrar Coast,0.6190325778787495,499.8219887590785 -467,Ferrar Coast,1.713007627596763,501.31742590839883 -535,Ferrar Coast,0.7384882005662825,500.28114820862845 -564,Ferrar Coast,1.2194451806025635,499.39785305875256 -574,Ferrar Coast,0.8050281107926656,499.9701231593379 -608,Ferrar Coast,0.4906816109814003,500.58231551044923 -624,Ferrar Coast,1.0724728159304946,498.98230029966214 -626,Ferrar Coast,0.34553934892285176,500.24901806572785 -639,Ferrar Coast,0.32277176782206907,499.8716256691769 -657,Ferrar Coast,1.0096577015603232,499.2412487137757 -668,Ferrar Coast,1.3027670318166358,499.64660216615204 -672,Ferrar Coast,0.534302280602746,499.75498507374937 -703,Ferrar Coast,1.5041086402720354,501.3642128054605 -705,Ferrar Coast,1.4790128166104206,500.5085516809103 -724,Ferrar Coast,1.1775549412278528,499.68366168854465 -735,Ferrar Coast,1.351907800538178,498.415504659104 -755,Ferrar Coast,1.0004454711783317,499.79524081178596 -785,Ferrar Coast,0.15339484847528972,500.5801102887325 -788,Ferrar Coast,0.20020441041499448,500.92816477508967 -902,Ferrar Coast,1.3091715614894408,499.9428655455582 -937,Ferrar Coast,1.2096834084074815,500.44692449514173 -946,Ferrar Coast,1.3168902946843375,501.02561515553174 -947,Ferrar Coast,-0.24054719599516128,499.7855325060422 -966,Ferrar Coast,0.06163708064206164,500.2536541674183 -971,Ferrar Coast,0.5267935724435191,498.9783351723196 -980,Ferrar Coast,0.8926041616488463,498.8846164311311 -1015,Ferrar Coast,1.1912831441900023,500.41662343535603 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Coast,1.3682962727946442,499.23911930495234 -1372,Ferrar Coast,1.0060004531641087,501.8503276364506 -1375,Ferrar Coast,0.5879584036264787,501.2829904270297 -1391,Ferrar Coast,1.1373952971928456,500.67949109698026 -1394,Ferrar Coast,0.7915417028154518,499.75845325480606 -1404,Ferrar Coast,0.8612740113668869,500.1732554902466 -1412,Ferrar Coast,1.9685417336808935,499.98390556051385 -1416,Ferrar Coast,2.10754658849867,499.11143533652626 -1421,Ferrar Coast,1.3202362979704687,497.989310889257 -1460,Ferrar Coast,0.6159880745731472,500.7054615454927 -1495,Ferrar Coast,2.0680480659336267,501.52180510155347 -1506,Ferrar Coast,0.4573709282655334,498.8830650131564 -1531,Ferrar Coast,1.271824025390157,500.7076239341287 -1541,Ferrar Coast,1.4192413938088708,501.0618314592565 -1552,Ferrar Coast,0.9629476911693828,498.4820623711974 -1556,Ferrar Coast,0.4361165143039223,500.60401818888636 -1557,Ferrar Coast,1.5318176983943932,499.57406134977884 -1563,Ferrar Coast,0.6981090272256081,498.56028299717735 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Coast,0.98261099932462,500.4794207135047 -1911,Ferrar Coast,0.08952202034629753,498.0250852033529 -1952,Ferrar Coast,1.774973822476447,498.90122154973693 -1955,Ferrar Coast,0.8754050027978059,500.27897150260475 -1992,Ferrar Coast,0.8905358133485444,500.1599848975643 -1995,Ferrar Coast,-0.18693913852375577,499.3307576757241 -2008,Ferrar Coast,0.7360082635714145,501.22609662932905 -2012,Ferrar Coast,0.3996337593810373,500.53719608029957 -2048,Ferrar Coast,0.8635404481150661,499.8035474332388 -2090,Ferrar Coast,1.7326257443641402,498.85004666625724 -2102,Ferrar Coast,0.6534748883486099,500.13600169064256 -2110,Ferrar Coast,0.98784126987587,500.83497960364076 -2129,Ferrar Coast,0.9738469957953179,500.1593457064032 -2147,Ferrar Coast,0.9691864402290953,499.4561289324346 -2225,Ferrar Coast,0.9489871136626146,499.3988634332083 -2251,Ferrar Coast,0.22718377698762648,499.9142944560121 -2305,Ferrar Coast,0.7574305160193084,499.75868280167634 -2339,Ferrar Coast,1.6738891364234223,500.6306205219573 -2344,Ferrar Coast,1.1960713368681064,500.9917603561558 -2374,Ferrar Coast,0.7336931764768717,501.40398877058175 -2421,Ferrar Coast,0.14522396022063144,501.1172651105244 -2477,Ferrar Coast,0.9214682268802775,500.2585351000339 -2489,Ferrar Coast,0.12205357089167335,499.3759880611321 -2512,Ferrar Coast,1.015775768774036,501.7094071017023 -2524,Ferrar Coast,1.5664462714121103,502.0547241438842 -2530,Ferrar Coast,-0.17957423756120083,500.0150264225741 -2630,Ferrar Coast,0.9773672886042574,501.2850232770624 -2648,Ferrar Coast,1.1511748829196184,501.0780404315379 -2656,Ferrar Coast,1.3325945322096926,500.6661739242027 -2662,Ferrar Coast,0.6897151973764896,502.30192028390775 -2707,Ferrar Coast,1.678158165365835,499.36746975812827 -2710,Ferrar Coast,1.1129742350658582,500.9604803063291 -2718,Ferrar Coast,1.5735132728758603,500.14239495432935 -2721,Ferrar Coast,1.0987089545373177,498.7217687708512 -2733,Ferrar Coast,0.8237292178007118,499.2288780719232 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Coast,1.1394898572625858,499.411423542161 -3024,Ferrar Coast,0.11026169315821566,499.76393617472405 -3033,Ferrar Coast,0.9512673606907152,499.4366707069173 -3038,Ferrar Coast,0.5063869147724742,498.6486335645757 -3067,Ferrar Coast,-0.001367738498169846,499.4163357678383 -3070,Ferrar Coast,0.37611542167827583,500.9120835585381 -3083,Ferrar Coast,1.0098420589392012,500.2267474266771 -3098,Ferrar Coast,0.49617389398360845,498.01915260214656 -3121,Ferrar Coast,0.6136752306319468,500.10662370440525 -3162,Ferrar Coast,1.2664573897440263,499.73766070589267 -3193,Ferrar Coast,1.136594128908374,502.38593143473753 -3195,Ferrar Coast,1.2119116177421898,499.8890119636166 -4,Marble Point East,0.5240891756055814,197.8269688692435 -22,Marble Point East,0.8669325629896838,198.8572281843874 -27,Marble Point East,2.3611251190477116,198.7171852107139 -32,Marble Point East,0.7306880069249143,200.08420021332591 -43,Marble Point East,1.158090421979016,200.65386924961774 -62,Marble Point East,1.531793590244626,200.6658429511258 -129,Marble Point East,0.4182375265245418,199.25910397890365 -134,Marble Point East,0.7794714180895503,201.3688399296874 -166,Marble Point East,1.0169363189430956,199.34285997289496 -170,Marble Point East,0.7703302785410808,199.18831831035175 -171,Marble Point East,1.4790379665974598,198.9462581074434 -179,Marble Point East,1.4372389450970715,199.9256626869605 -204,Marble Point East,1.2050564495953713,200.01688184126772 -239,Marble Point East,1.2855797969953515,200.0547086532528 -244,Marble Point East,1.0498812347414432,200.50266898460978 -248,Marble Point East,0.7126262686874842,201.01130998440138 -284,Marble Point East,1.1931088839569755,199.65345274977804 -313,Marble Point East,0.5827690746175752,200.61335307022821 -325,Marble Point East,1.4844120441189446,200.32329300427602 -342,Marble Point East,1.2997653380582466,201.3480475856025 -358,Marble Point East,1.1629255584935914,199.9994139977785 -367,Marble Point East,1.3629552770074775,198.49823085838122 -372,Marble Point East,1.3233742740650745,200.34122317629632 -374,Marble Point East,1.7124680730741912,200.56548485710462 -390,Marble Point East,0.5672590974473555,199.95297096176756 -521,Marble Point East,0.3896069156426414,200.01495742718288 -526,Marble Point East,0.3652811537172128,200.29355805231077 -543,Marble Point East,1.4096063832509795,199.9101974265249 -568,Marble Point East,1.1790414243471146,200.56352443790567 -577,Marble Point East,1.5974937554647164,198.87856476369697 -590,Marble Point East,0.3605486914749779,200.65186636521096 -641,Marble Point East,0.8371071017924279,201.444376383742 -712,Marble Point East,0.6832252846786303,200.95184667029667 -716,Marble Point East,0.7768408037793009,199.06920827130523 -721,Marble Point East,0.3149193719176929,199.93534783628456 -752,Marble Point East,1.3280760944855066,200.91846442509458 -758,Marble Point East,1.9317375773364742,200.026086247043 -782,Marble Point East,1.7817238478342565,199.30440974176486 -783,Marble Point East,1.5713044369187492,198.90641645383826 -786,Marble Point East,2.088488058662551,199.89191128361534 -883,Marble Point East,1.4515710452633996,201.77177527283686 -912,Marble Point East,0.576284237818018,200.28773411832944 -919,Marble Point East,0.5053627640262364,201.86620408256928 -1002,Marble Point East,0.2911051421261458,201.0435645304807 -1037,Marble Point East,0.8551930208497898,199.6294003314503 -1083,Marble Point East,0.9165545051588397,200.0933671511395 -1097,Marble Point East,1.2944333100660455,199.92987350126626 -1126,Marble Point East,1.7325043843237653,199.5815220152651 -1164,Marble Point East,1.3414827295358276,199.88630050277325 -1170,Marble Point East,0.506899609324989,199.84829615489997 -1186,Marble Point East,0.2897147539690096,200.0911785552586 -1190,Marble Point East,1.612842992488757,200.10538113255578 -1192,Marble Point East,0.7184013130785842,199.77967793058136 -1222,Marble Point East,1.604799389611658,200.91707425280066 -1224,Marble Point East,0.6960075514044508,200.57096132508605 -1272,Marble Point East,1.8862431370996229,199.73944777354944 -1276,Marble Point East,1.501712323845296,198.73496738384685 -1300,Marble Point East,0.9731482026118963,200.16893405964453 -1303,Marble Point East,0.5300361530513056,199.32896689748318 -1320,Marble Point East,0.5712333534129925,202.0412939883625 -1343,Marble Point East,0.5932942511257027,199.9203309476122 -1349,Marble Point East,0.7872565215167503,200.00863769243128 -1424,Marble Point East,1.3112585174973697,200.25435792805465 -1442,Marble Point East,1.3124106457169693,200.29545864023518 -1453,Marble Point East,1.583799466155372,199.31603712328715 -1482,Marble Point East,0.43755345432671044,199.95650432558395 -1494,Marble Point East,1.041796868439215,200.11790433368316 -1537,Marble Point East,0.4939711652551829,199.85869804173026 -1538,Marble Point East,0.9280232041982357,199.1463463029777 -1540,Marble Point East,1.7572652879662343,200.7238595349765 -1574,Marble Point East,0.7402197735684362,200.28484647785933 -1683,Marble Point East,0.8105375243630186,201.5812438258174 -1687,Marble Point East,0.4920143581981009,198.6598186783591 -1705,Marble Point East,0.2820641809008586,201.9532016835177 -1717,Marble Point East,1.6655102362730227,198.54775096882676 -1734,Marble Point East,1.3990202560636658,201.39042263571952 -1746,Marble Point East,0.5727739157475953,200.29013631980354 -1753,Marble Point East,1.3058467061089858,197.8135935092857 -1766,Marble Point East,1.4232347925532405,200.67774292782624 -1780,Marble Point East,1.1484359965056143,200.71652934679355 -1825,Marble Point East,0.16284729094249573,199.996282745089 -1830,Marble Point East,1.9043942737537278,199.87028394849236 -1838,Marble Point East,0.887343206021316,199.3927629822564 -1868,Marble Point East,1.1367043619461978,200.56772199475063 -1885,Marble Point East,0.8279094999632672,201.39731676635017 -1912,Marble Point East,0.8992228247204486,198.6942776298589 -1918,Marble Point East,1.284521719331686,198.23213740768674 -1939,Marble Point East,1.4707937395435156,199.96618882895763 -1973,Marble Point East,0.9153414916789017,199.87513004235558 -1978,Marble Point East,1.3160962809209478,199.85672256436817 -1984,Marble Point East,0.3069562598673702,198.94600594480994 -2005,Marble Point East,0.7665698195776659,200.94969456279804 -2025,Marble Point East,1.2632332626207379,200.05257316813535 -2046,Marble Point East,1.5139910364541964,199.11711633244113 -2054,Marble Point East,1.5709665636222585,199.17521589771772 -2064,Marble Point East,1.3522058497352691,200.02868007856242 -2067,Marble Point East,-0.29739592447695484,198.7714555948955 -2140,Marble Point East,0.42934189394705524,200.15636710156994 -2153,Marble Point East,1.11902609165493,199.30843785612953 -2168,Marble Point East,1.697058656533322,200.92830194492083 -2194,Marble Point East,0.3144320701037965,200.36646102842107 -2201,Marble Point East,0.35406245614976795,199.964444347659 -2205,Marble Point East,1.315248558031826,199.35338283511825 -2213,Marble Point East,0.3996019511338378,198.6894578907596 -2263,Marble Point East,0.8961434407247209,198.60897732279747 -2285,Marble Point East,1.077393823557544,198.9699219466498 -2307,Marble Point East,0.8356316561662381,200.23200283020856 -2333,Marble Point East,0.7068159589159455,198.79916355703028 -2359,Marble Point East,0.4468243211283094,199.40544888822035 -2401,Marble Point East,1.2099135504906542,199.9924676436458 -2415,Marble Point East,1.4634562422744857,198.88444535490538 -2416,Marble Point East,0.7428323938972193,200.89417862792544 -2454,Marble Point East,0.9231738268021707,199.97085236321556 -2461,Marble Point East,0.919287504089208,197.92879653369667 -2471,Marble Point East,0.9566130451038177,200.09701495031376 -2476,Marble Point East,0.7698345351665941,201.39927771532257 -2490,Marble Point East,1.4154114955074326,198.38211973649933 -2504,Marble Point East,0.8421993383800882,200.5753954714409 -2506,Marble Point East,0.3645417183828876,198.84249106748032 -2522,Marble Point East,1.1576567794847312,200.69000314967454 -2563,Marble Point East,1.5482854737027392,199.65873157561802 -2570,Marble Point East,1.2805539254622542,200.28325570271585 -2581,Marble Point East,1.4785271630580996,203.384602418269 -2597,Marble Point East,1.022075470461412,198.2242685245789 -2608,Marble Point East,1.0199810130272087,199.44825972988392 -2616,Marble Point East,1.3188602658597297,200.50582267918867 -2629,Marble Point East,0.619961225034587,200.60168844664736 -2647,Marble Point East,0.5508922318830597,202.21624314637958 -2686,Marble Point East,0.44140504958876303,198.4136744253023 -2693,Marble Point East,1.2077911016814624,199.25596858871415 -2705,Marble Point East,1.11671390839298,198.50708157026057 -2785,Marble Point East,1.2452772003384414,200.43768175692765 -2792,Marble Point East,1.5509719577453187,200.0087126787085 -2795,Marble Point East,0.4862004883434893,201.13604385991164 -2808,Marble Point East,0.5184995498087694,199.2126397538903 -2829,Marble Point East,0.6140998460999951,201.16005600751987 -2832,Marble Point East,0.5236947553797928,199.944833461917 -2886,Marble Point East,0.610715805253653,200.1765543705568 -2897,Marble Point East,1.0068059113456758,199.36380210646226 -2905,Marble Point East,1.7237760125315305,199.8691969055692 -2912,Marble Point East,-0.06350608705722616,199.88261798566094 -2935,Marble Point East,1.4268600655812973,198.90442690013754 -2953,Marble Point East,1.6621250476259866,200.3792468481041 -2990,Marble Point East,1.2023281095866434,200.01473595120675 -2998,Marble Point East,1.0294317167970943,199.40855438213 -2999,Marble Point East,0.981750508734213,199.6202704849409 -3008,Marble Point East,1.5770828599579307,199.19126540550104 -3018,Marble Point East,0.9029005322897115,201.0174181593794 -3040,Marble Point East,2.194488832259725,197.40934240670745 -3048,Marble Point East,1.1028207365820675,199.96718531893535 -3109,Marble Point East,1.113567522638811,200.14867653241973 -3129,Marble Point East,0.5655640833203054,197.60909726571956 -3135,Marble Point East,1.0508749407480924,199.4646845678718 -3148,Marble Point East,1.211889257668174,200.10717364752438 -3149,Marble Point East,1.0454230197971317,199.309682351995 -3171,Marble Point East,1.3970388027601632,199.14404307235472 -46,Marble Point North,8.769790392747929,204.85119602214516 -60,Marble Point North,7.3131189031118256,204.60412986649723 -108,Marble Point North,7.791825969302171,204.517734465599 -132,Marble Point North,8.085317906647187,206.94420469746723 -149,Marble Point North,7.320055647771565,204.60884664793895 -202,Marble Point North,8.166864735860882,205.54473481852386 -236,Marble Point North,8.011060362750193,203.4002173051954 -256,Marble Point North,8.97750273245893,206.46473044590033 -275,Marble Point North,7.920150411006336,202.96708034267488 -276,Marble Point North,7.929696558955792,205.19719546613808 -279,Marble Point North,8.360092160378812,204.44728416046814 -303,Marble Point North,8.24806347854784,205.23987766717474 -308,Marble Point North,7.503687822699244,203.21071303051002 -359,Marble Point North,6.487951854899895,205.62174783743956 -385,Marble Point North,8.11212656851109,205.72081522889619 -406,Marble Point North,8.308291321688076,203.713493812034 -436,Marble Point North,7.897029004929156,203.8436531731 -556,Marble Point North,7.600995792218746,204.05520399484448 -566,Marble Point North,8.253437372978375,204.18288637029673 -572,Marble Point North,8.238816818383405,205.75195884122724 -596,Marble Point North,7.579386205145565,206.27366287423635 -611,Marble Point North,7.8647560279479265,205.03070071939243 -617,Marble Point North,8.126664325023588,205.61826787393164 -622,Marble Point North,7.135568845665465,206.21945470493264 -623,Marble Point North,7.843972701838564,205.92203544226194 -656,Marble Point North,7.92663042049504,204.62358950388779 -666,Marble Point North,8.699135562536103,206.10560429043002 -683,Marble Point North,8.008953476555007,207.7047888496691 -693,Marble Point North,8.387655498071195,205.28502934474778 -729,Marble Point North,7.683186816806204,204.76258530208784 -730,Marble Point North,8.670476256490952,206.80180434085952 -733,Marble Point North,7.241395581085477,204.55119913479916 -778,Marble Point North,7.553472504208609,205.85682070395703 -822,Marble Point North,8.14411019484918,203.83156980118656 -823,Marble Point North,8.541791913571194,205.59537659970636 -832,Marble Point North,8.357910011695846,205.2150077070127 -843,Marble Point North,7.74363453557344,204.6483106812908 -870,Marble Point North,7.799894512966132,204.73879320887397 -875,Marble Point North,7.588638719048995,205.46520968697445 -876,Marble Point North,7.693116925121418,204.7790511151904 -878,Marble Point North,6.818040012678101,205.16756261392675 -889,Marble Point North,8.282972872856723,206.64627345341773 -892,Marble Point North,7.95353499215553,205.97214960098214 -895,Marble Point North,8.246205687494738,203.77978480313237 -896,Marble Point North,8.156613985669269,204.03626587695948 -906,Marble Point North,8.080525607798375,204.6159710833774 -918,Marble Point North,8.414138686782552,205.8642204890526 -924,Marble Point North,6.982434034650908,203.5304314916186 -935,Marble Point North,8.239633708376683,204.88596361193177 -939,Marble Point North,8.300569311210356,204.52151136158602 -959,Marble Point North,7.096805317748176,204.9819185824344 -981,Marble Point North,8.343298572773667,205.92287480162528 -984,Marble Point North,7.689546287075652,205.67605459451974 -1038,Marble Point North,8.10415963134243,204.36732992462132 -1098,Marble Point North,8.347219895834115,205.6931782327483 -1104,Marble Point North,7.758036012509996,204.16486404246686 -1117,Marble Point North,7.368374045473673,203.84971435502655 -1128,Marble Point North,8.329330471810318,206.19316290912013 -1135,Marble Point North,8.180021178615805,203.81267307442107 -1153,Marble Point North,7.549822052521107,205.25972473309076 -1203,Marble Point North,8.266091059242797,205.95839367982575 -1205,Marble Point North,8.58426701526576,205.1380431806858 -1213,Marble Point North,8.338043812417641,204.25258053561663 -1233,Marble Point North,8.115353888064961,206.61245016760307 -1260,Marble Point North,7.872839155813572,206.285031709819 -1262,Marble Point North,7.792526273823432,205.73964205990035 -1291,Marble Point North,8.08862474405549,205.86928907953595 -1294,Marble Point North,8.249088974892283,205.99459634623045 -1332,Marble Point North,8.519506910840924,205.65528590080237 -1350,Marble Point North,7.708801877858414,206.2134631212528 -1362,Marble Point North,7.885420713490435,206.10590918648987 -1367,Marble Point North,7.187197225159914,204.92892440023527 -1393,Marble Point North,8.40965301994453,204.74348814988892 -1402,Marble Point North,6.663566515606062,204.37307699230072 -1440,Marble Point North,8.284305278719415,203.6047561314755 -1446,Marble Point North,7.26641843438085,204.13682426254846 -1472,Marble Point North,8.106738657684925,204.470936960315 -1484,Marble Point North,7.348535839508558,205.53093252439217 -1491,Marble Point North,7.6316030089026015,205.64111483769412 -1509,Marble Point North,8.343935524875596,205.45893794010777 -1521,Marble Point North,8.107326364081231,204.34368573547374 -1525,Marble Point North,8.075949207446355,204.64567274911408 -1536,Marble Point North,8.897264268331888,206.3097332446814 -1562,Marble Point North,7.583205966438562,205.1427144143074 -1582,Marble Point North,7.7434747043453855,204.3754680848213 -1586,Marble Point North,7.868599003161548,203.6909058712275 -1611,Marble Point North,8.712724664894846,204.7913322768146 -1638,Marble Point North,7.907886584431623,204.15822188078226 -1642,Marble Point North,8.040726526157455,205.9269421994895 -1689,Marble Point North,6.954713009373865,205.98855403461945 -1692,Marble Point North,8.302360743189315,204.35622670077692 -1759,Marble Point North,8.165385180320584,204.57449542407528 -1774,Marble Point North,7.97335826682256,203.64330474624123 -1814,Marble Point North,8.896109172870043,205.6475644163655 -1849,Marble Point North,8.380526276292985,204.78525898725252 -1884,Marble Point North,8.182136306007584,205.05791861810442 -1921,Marble Point North,8.853128045542043,204.8730777785521 -1925,Marble Point North,7.5880706176807795,205.0937254623631 -1945,Marble Point North,7.723245918851616,203.99307071232894 -1974,Marble Point North,8.792311269674776,206.076202796779 -1997,Marble Point North,7.6503372037054636,203.37154624223533 -2019,Marble Point North,8.112448403459146,204.81296473100917 -2038,Marble Point North,8.164255798766359,204.94912844375474 -2047,Marble Point North,6.882973327923474,206.28862813084208 -2066,Marble Point North,7.724952773960782,204.85644662976682 -2077,Marble Point North,8.217355756703068,205.9001937801563 -2088,Marble Point North,8.069013023098762,206.04105236619844 -2155,Marble Point North,8.157641296148324,206.14218118193781 -2179,Marble Point North,8.206785845796519,206.07406092458396 -2190,Marble Point North,7.427319423893844,205.87526920463222 -2195,Marble Point North,8.707507428682645,205.3595499908155 -2199,Marble Point North,8.443094153613979,203.41309954345303 -2209,Marble Point North,8.852118237995976,204.23916815062887 -2241,Marble Point North,7.516782209346789,205.40535543993332 -2247,Marble Point North,7.973742151235048,204.3342450951571 -2252,Marble Point North,8.340976633149532,206.87885999567584 -2253,Marble Point North,7.67488229288902,203.73970333731796 -2270,Marble Point North,8.591844455577581,204.8729075564607 -2271,Marble Point North,7.056824236102335,204.27747764137837 -2283,Marble Point North,7.670294543113417,205.2250773386518 -2292,Marble Point North,8.198596672133633,204.7025558609247 -2314,Marble Point North,7.575057138977192,206.2342385599042 -2324,Marble Point North,7.972527715402937,205.81857480229246 -2325,Marble Point North,7.5209848107849675,205.38133839636785 -2347,Marble Point North,8.267335423132433,204.61161359061452 -2361,Marble Point North,7.030148549143967,203.57075456830555 -2363,Marble Point North,8.250880336031159,204.6882014949577 -2369,Marble Point North,8.146917942347411,204.72955773037563 -2507,Marble Point North,7.999947253290948,205.0063159908657 -2511,Marble Point North,8.166220732408846,205.32250453696193 -2533,Marble Point North,7.104617296995112,206.25760484412942 -2541,Marble Point North,8.68327316841746,206.7721965145948 -2549,Marble Point North,8.132916512093523,205.17174069997432 -2560,Marble Point North,8.102539833816875,204.6630534139761 -2564,Marble Point North,8.195224107137813,205.23921195828765 -2617,Marble Point North,8.756706277298184,204.44936849613254 -2674,Marble Point North,7.910742080295721,203.58274271093006 -2691,Marble Point North,8.848858619007231,204.92389667219143 -2709,Marble Point North,7.566927468895568,204.63093422104066 -2720,Marble Point North,8.162230145525092,204.71677539261614 -2725,Marble Point North,8.16338837034439,206.35109913857852 -2759,Marble Point North,7.739631667629651,204.9635544837962 -2771,Marble Point North,7.381988140359775,203.85710849939656 -2783,Marble Point North,8.36688314003694,206.10167361185432 -2819,Marble Point North,8.248913826466525,205.13970587165997 -2850,Marble Point North,8.171439424717198,205.31151186302517 -2904,Marble Point North,8.499291093453728,206.87803409232737 -2906,Marble Point North,8.429379277885216,203.35632877565791 -2939,Marble Point North,8.097252457516797,204.7817117237938 -2982,Marble Point North,8.024881077121039,204.21427434712876 -3030,Marble Point North,8.590719486615326,205.86335819913623 -3060,Marble Point North,7.9385735463350855,204.12294719919913 -3064,Marble Point North,8.443790970030161,204.1902388081761 -3099,Marble Point North,8.010864841534824,204.91807552706695 -3106,Marble Point North,7.86047096224994,207.17110978890076 -3118,Marble Point North,8.048903539907856,201.8525609664573 -3151,Marble Point North,7.407429975941742,205.25192199934128 -3185,Marble Point North,7.253817502975468,204.7654601116239 -3194,Marble Point North,7.902059887965607,205.1536410790244 -3,Marble Point South,20.03953607086445,9.272772178658919 -6,Marble Point South,21.15924364365875,9.447840579832803 -28,Marble Point South,21.776395772837304,7.406229075799576 -42,Marble Point South,20.993503403235756,7.796386100356472 -97,Marble Point South,20.646532667072478,8.661819288643516 -101,Marble Point South,20.948048410118574,6.723163453801593 -136,Marble Point South,21.132149668613124,7.972915874491299 -146,Marble Point South,21.193239782277093,9.625295230981614 -159,Marble Point South,20.386874416942177,8.209440020905024 -160,Marble Point South,21.338725037270134,7.633084660397337 -173,Marble Point South,20.65217426058582,7.41528141348472 -212,Marble Point South,20.74240832483779,6.221975368514423 -215,Marble Point South,20.75917189205142,6.109851265853205 -222,Marble Point South,21.51905026128764,8.413316484535201 -247,Marble Point South,21.38165033905432,7.583429560330588 -249,Marble Point South,21.944272344240172,8.258244378315645 -251,Marble Point South,21.405414125027214,9.986734143482442 -255,Marble Point South,20.697910933403715,4.82706806319379 -262,Marble Point South,21.41797729889165,8.578355811473521 -289,Marble Point South,19.99028334767637,8.993305052917611 -330,Marble Point South,20.58971934404147,7.40486508182183 -396,Marble Point South,21.390769731164934,8.724316530012098 -399,Marble Point South,20.909907383943892,9.186903950968187 -430,Marble Point South,21.165344311818046,8.196813390936102 -440,Marble Point South,21.24796898116226,8.524752186912115 -456,Marble Point South,20.129459795851602,8.404803363492505 -553,Marble Point South,20.777337491499487,7.7648833501040135 -575,Marble Point South,20.91820187708419,6.994317021360546 -576,Marble Point South,20.639941859071772,7.185676104976567 -581,Marble Point South,21.360708214629014,8.573447300119923 -584,Marble Point South,21.720430227026142,7.672566046323459 -604,Marble Point South,21.634813663798628,7.240267178561746 -607,Marble Point South,21.608726872264757,7.529648842414145 -613,Marble Point South,21.185507680652886,10.204265754838604 -642,Marble Point South,21.073394546022943,7.567831516537749 -660,Marble Point South,20.532896679835787,5.621472949511544 -669,Marble Point South,20.773757294632095,7.9668579608476415 -687,Marble Point South,21.28758021101639,8.692779339789944 -689,Marble Point South,20.439388462041812,6.267355599711283 -698,Marble Point South,20.376910353773372,7.990801719937142 -722,Marble Point South,21.15751401297351,8.809944684065549 -851,Marble Point South,20.852460133425737,8.113092232151196 -858,Marble Point South,20.832178208724507,6.9798434493071095 -864,Marble Point South,20.472781162484303,6.881427346635808 -866,Marble Point South,20.67228053890665,8.805551595471927 -877,Marble Point South,20.882334833790708,7.686384738172411 -885,Marble Point South,20.667911383156735,8.295532908781903 -923,Marble Point South,20.92795437768776,8.222401991801771 -956,Marble Point South,20.81919334089494,8.35006780260509 -962,Marble Point South,21.31936174858551,9.085347743303593 -968,Marble Point South,19.952179094921206,11.094787347602797 -979,Marble Point South,20.045476242990308,7.763027571114788 -995,Marble Point South,21.325108793502178,9.127924357299143 -996,Marble Point South,20.27731849172848,8.19834114573895 -1020,Marble Point South,20.814180668952556,8.376091742365364 -1063,Marble Point South,21.405963097007156,7.808037532721541 -1074,Marble Point South,21.16068914951782,8.103933285615971 -1100,Marble Point South,21.218163291479694,9.34020075177598 -1136,Marble Point South,22.055227436081807,8.25114041757708 -1143,Marble Point South,21.009821816318283,9.03434318387826 -1169,Marble Point South,20.586845945806417,7.062810284368043 -1179,Marble Point South,21.03790348695638,7.977969685416529 -1183,Marble Point South,19.72278390935612,8.626118372220962 -1191,Marble Point South,20.973490453686985,7.57106366999683 -1195,Marble Point South,20.439325590012086,8.552114017740498 -1220,Marble Point South,20.795425241685695,8.992033627315145 -1223,Marble Point South,21.743088918748715,6.201015170465984 -1236,Marble Point South,21.661274886811686,6.183558961338356 -1242,Marble Point South,21.49076828384657,7.104432286162945 -1263,Marble Point South,20.77688770440803,8.417383782270761 -1277,Marble Point South,20.751658046446167,8.82439907115383 -1282,Marble Point South,20.589824698573818,9.692800288903731 -1284,Marble Point South,21.13173174577564,7.755886135253716 -1308,Marble Point South,21.639423501393104,9.642596649536914 -1309,Marble Point South,20.992815446096337,6.9983866792083695 -1312,Marble Point South,22.22108090805477,7.650789006964384 -1314,Marble Point South,21.41833180369356,7.92684513715253 -1338,Marble Point South,20.79384737620467,8.122013789800373 -1353,Marble Point South,21.490122525167276,8.058394179238148 -1354,Marble Point South,20.703606279539652,7.160620021087975 -1385,Marble Point South,20.601406935235552,8.13081266788023 -1417,Marble Point South,20.364745575775746,8.981850379636702 -1430,Marble Point South,20.9664399175355,8.906689482168886 -1435,Marble Point South,21.765435168460204,9.406741294179977 -1438,Marble Point South,20.175298701877235,8.571290042257555 -1448,Marble Point South,21.400197352796756,7.218771835688612 -1478,Marble Point South,21.302649281742596,8.22805290408068 -1480,Marble Point South,21.492302769066224,7.1312091938553 -1523,Marble Point South,20.86357290421486,7.9515412593309 -1551,Marble Point South,20.72545465406398,7.813077493799694 -1578,Marble Point South,20.835914868288324,7.155797706040663 -1583,Marble Point South,21.632676579622498,8.048799909472974 -1605,Marble Point South,21.532376885917074,6.852848985994162 -1609,Marble Point South,21.168930699188365,9.151182631357996 -1623,Marble Point South,21.095820030306317,5.718038072900278 -1640,Marble Point South,21.021901393000505,7.136543383124217 -1658,Marble Point South,20.962570766185955,8.814013067563883 -1668,Marble Point South,20.870268664491125,7.945500217159368 -1676,Marble Point South,21.02900409692821,8.63857039718002 -1709,Marble Point South,21.270418067304977,8.280276343373963 -1710,Marble Point South,20.538525736886925,8.880047000038509 -1720,Marble Point South,20.631292840082573,6.97967107986156 -1735,Marble Point South,20.61921953335108,8.126411886401089 -1736,Marble Point South,20.493563914869462,7.78442920850996 -1737,Marble Point South,21.031468650492375,9.287406049245138 -1750,Marble Point South,21.404678054954527,7.08591634974962 -1778,Marble Point South,21.339302202148748,7.7729778542825265 -1783,Marble Point South,21.258278778027,7.456208598964241 -1790,Marble Point South,21.716044271103303,7.599235912168881 -1811,Marble Point South,20.961945501425557,5.830634598015149 -1818,Marble Point South,21.062929676554894,7.504121040119805 -1820,Marble Point South,21.06936097639108,8.152714511545115 -1835,Marble Point South,20.813328373462294,7.6914666298546495 -1844,Marble Point South,21.891463240695664,7.5335440487657674 -1852,Marble Point South,21.295689456998108,8.285226784705793 -1875,Marble Point South,20.394386554752593,7.28970431008418 -1882,Marble Point South,20.79229304501846,9.921449867837115 -1886,Marble Point South,20.334390909925883,7.320679558198679 -1905,Marble Point South,20.952091806936217,8.304776662649978 -1907,Marble Point South,20.81129278577239,7.042316551679125 -1919,Marble Point South,21.892472722438438,8.237158339643182 -1927,Marble Point South,21.337323650271514,8.033116729704677 -1930,Marble Point South,20.69442702398602,6.756300784874565 -1940,Marble Point South,20.267956784610455,7.1484851405175025 -1957,Marble Point South,20.674352974031763,7.4427634769388344 -1969,Marble Point South,20.44255181303624,7.423155482665227 -2007,Marble Point South,21.028263187813682,7.425804573131485 -2037,Marble Point South,21.36442644894658,9.341291147728422 -2041,Marble Point South,21.353403469503263,8.363261094638913 -2044,Marble Point South,20.423604848260258,6.007201632596521 -2065,Marble Point South,20.42469707535744,8.096397933080175 -2074,Marble Point South,21.55101432045783,7.561287230667382 -2095,Marble Point South,20.45901057092808,10.252640895094839 -2124,Marble Point South,21.507639718415973,7.032066346091441 -2143,Marble Point South,20.12164462098077,7.234386115827524 -2165,Marble Point South,20.81191588084136,7.946282652862503 -2193,Marble Point South,20.625545739270592,8.580303605269519 -2208,Marble Point South,21.068267242962836,7.369175317566787 -2227,Marble Point South,20.974620124136784,7.068063946896753 -2250,Marble Point South,21.89014392265594,9.013591365467608 -2288,Marble Point South,20.45027788052846,6.930046822251209 -2302,Marble Point South,21.314147288567007,7.11996129438821 -2309,Marble Point South,21.29702347425259,7.552090622580899 -2330,Marble Point South,21.7667797503357,9.30792401724063 -2336,Marble Point South,19.926987258890325,6.725602124137646 -2352,Marble Point South,20.8574072170744,7.9567038639102305 -2376,Marble Point South,21.24514914981411,8.13601721459954 -2377,Marble Point South,21.10196699368569,8.190257435916186 -2387,Marble Point South,20.74161962317987,7.782259704797393 -2394,Marble Point South,21.202937890140056,9.10223370193519 -2423,Marble Point South,21.158594644058752,8.22846405138318 -2437,Marble Point South,21.37675977206142,8.17729623505209 -2443,Marble Point South,20.8683275087036,8.344343828459099 -2447,Marble Point South,20.751569172447514,9.882361690047807 -2464,Marble Point South,21.48640925907913,6.769623750387693 -2474,Marble Point South,21.481692814547102,8.019723294258398 -2492,Marble Point South,20.99334297124037,9.359807389100224 -2502,Marble Point South,20.9265543558244,10.146269035074862 -2528,Marble Point South,21.929021858967342,8.071366511042994 -2567,Marble Point South,22.024553004132773,8.14229089605774 -2582,Marble Point South,21.16306789495805,6.601676532180795 -2591,Marble Point South,21.33667038945095,10.432722248908991 -2640,Marble Point South,20.7472763142371,8.566078674259051 -2665,Marble Point South,21.512178166163434,9.308781337020845 -2666,Marble Point South,20.538928557380935,5.842995813834845 -2673,Marble Point South,21.342141792228798,8.687413024734141 -2678,Marble Point South,20.899000476438335,7.897671857357674 -2777,Marble Point South,21.06859293003224,7.928254169706678 -2780,Marble Point South,20.745453964819742,7.9235058881721985 -2782,Marble Point South,21.095053421813887,9.413769614292878 -2786,Marble Point South,21.974687540229713,7.753327204420981 -2815,Marble Point South,20.218199493094986,7.689543056648086 -2853,Marble Point South,21.017745959078002,8.94871223829601 -2854,Marble Point South,21.829936324917565,8.650136167360989 -2899,Marble Point South,21.25666948235094,10.744658451947835 -2903,Marble Point South,21.537284711639266,7.142341405121065 -2909,Marble Point South,20.989649163698815,9.753013978710625 -2945,Marble Point South,21.05628834927798,7.409267076841885 -2949,Marble Point South,20.540038963453476,6.444859735889135 -3005,Marble Point South,21.04286898558207,7.461899366601929 -3019,Marble Point South,21.407037286992345,7.735831257773134 -3047,Marble Point South,20.058057780557725,8.039393586393444 -3089,Marble Point South,20.89979642689249,7.746413847589308 -3117,Marble Point South,20.883949387626433,7.149805085933101 -3127,Marble Point South,21.23855154730581,6.79440410717819 -3139,Marble Point South,20.090422155185436,8.733505927511812 -5,Marble Point West,8.778175297562335,44.53444480916007 -13,Marble Point West,9.4240390157789,44.81715415371291 -34,Marble Point West,7.5590458693609515,42.990623705967295 -154,Marble Point West,9.019232893406654,44.17130337695391 -187,Marble Point West,9.58628905435095,45.30441379914872 -218,Marble Point West,9.075431004838634,44.632151472207056 -245,Marble Point West,9.803542509222172,45.05309016653908 -290,Marble Point West,9.137271908029806,45.390519523886404 -292,Marble Point West,9.095970158927605,43.643046274988954 -341,Marble Point West,9.101021828557537,43.351094991174996 -402,Marble Point West,9.081759316070979,42.93764829316863 -432,Marble Point West,8.489919241727717,44.69117246699706 -435,Marble Point West,9.483028449141857,42.21037355883543 -457,Marble Point West,9.079278932632585,42.852417789790344 -487,Marble Point West,8.860347324509766,44.02416532174416 -502,Marble Point West,9.399977306781395,44.4331263686854 -508,Marble Point West,8.998285115417987,44.99327080947563 -517,Marble Point West,8.951985778406542,42.99127360972958 -537,Marble Point West,9.288562933838469,43.07764501614907 -540,Marble Point West,9.537429537530388,42.86058246207449 -545,Marble Point West,8.921704545849595,43.76882206130068 -547,Marble Point West,8.455846041306849,46.84594266288306 -571,Marble Point West,8.771081579859388,43.28497540739901 -630,Marble Point West,8.722169168266804,43.329315054158 -646,Marble Point West,9.407486088872805,42.29038461279997 -655,Marble Point West,8.942984628878303,44.52623337086756 -678,Marble Point West,8.895236638747413,43.06425492074065 -699,Marble Point West,9.02257712222668,41.76917201602961 -713,Marble Point West,8.789216247933933,43.48381684459518 -719,Marble Point West,8.997866045551916,41.97200138513297 -726,Marble Point West,9.089462678961407,44.06510475041537 -740,Marble Point West,9.218402193164442,43.29579293480212 -753,Marble Point West,9.029689589769758,43.24906599780696 -759,Marble Point West,9.28327151777844,44.97035904104501 -772,Marble Point West,8.902708874595067,45.161325389866136 -774,Marble Point West,8.847367495636068,44.196378345758205 -791,Marble Point West,9.399937719609898,42.994466651951065 -796,Marble Point West,8.912277031646212,43.98339601718201 -807,Marble Point West,9.25880104179167,44.48239936233959 -821,Marble Point West,9.117255767106574,42.59394721238255 -842,Marble Point West,8.938335184440938,43.882214754323535 -853,Marble Point West,10.235558960889223,43.857919305721616 -855,Marble Point West,8.39988847848051,43.84042839634386 -893,Marble Point West,8.846530998837192,43.04501371426621 -938,Marble Point West,9.460397776718583,43.37547717142772 -952,Marble Point West,9.816298912833625,45.37189731100014 -987,Marble Point West,9.11976210827588,44.38149419595365 -1042,Marble Point West,9.741265957447487,43.734062402517694 -1058,Marble Point West,10.062536509944303,43.16094733655146 -1080,Marble Point West,9.466243742068416,44.15876844919212 -1091,Marble Point West,8.343781296429034,45.54900831338912 -1158,Marble Point West,8.340976460013959,44.978240929811186 -1162,Marble Point West,8.412691854541244,47.002037738586864 -1167,Marble Point West,8.80242146548534,42.253072942870155 -1171,Marble Point West,8.58942493521669,43.58569448102533 -1189,Marble Point West,8.37875801558986,42.979071061057645 -1198,Marble Point West,9.137003737703884,44.075427808220546 -1201,Marble Point West,8.141147764699914,43.88927772551564 -1215,Marble Point West,9.292314160639771,45.95774622962137 -1218,Marble Point West,9.041170103450414,44.71986945464599 -1230,Marble Point West,9.273747187947814,45.88291178204342 -1237,Marble Point West,8.996326806581333,42.1201633486227 -1243,Marble Point West,8.801364470537811,44.36510307719564 -1267,Marble Point West,9.109987209205409,43.98490982002004 -1283,Marble Point West,9.216832415230135,44.73753004657755 -1299,Marble Point West,9.69882409663098,44.466252340826586 -1311,Marble Point West,8.779823443009374,42.473603311330955 -1328,Marble Point West,9.20483076896536,47.13339683575653 -1365,Marble Point West,8.573266450279323,44.10675637672525 -1397,Marble Point West,8.86227273575895,43.442241375570646 -1441,Marble Point West,9.154310216029574,42.622231353559755 -1444,Marble Point West,8.887057064685798,44.60424563428399 -1461,Marble Point West,9.548309863676607,46.55406447120217 -1469,Marble Point West,9.116365415528835,44.52879247827779 -1489,Marble Point West,8.401161306861761,43.10765559226577 -1499,Marble Point West,9.061448497355958,44.5165607692901 -1517,Marble Point West,9.290411472594027,43.9527123308326 -1519,Marble Point West,10.283569834019616,43.88093142884412 -1527,Marble Point West,8.82243001202578,44.16085875478653 -1528,Marble Point West,9.151150406129219,44.62023462895318 -1555,Marble Point West,9.306157914801913,43.519273277052854 -1559,Marble Point West,8.44739804863826,44.00801697476442 -1560,Marble Point West,8.090780937684146,44.152194923614054 -1679,Marble Point West,8.369825051489233,44.38966074583098 -1680,Marble Point West,9.929537040078108,43.554000305082816 -1704,Marble Point West,8.453915424523279,45.463820085516964 -1711,Marble Point West,8.681041021738535,44.443399292178704 -1712,Marble Point West,9.275131295682842,44.51645893497764 -1779,Marble Point West,8.755300183988393,44.75199770168471 -1842,Marble Point West,8.679561276478795,44.47750473042488 -1851,Marble Point West,8.58199381027963,44.096357078737284 -1874,Marble Point West,9.119452530472586,43.8086370269266 -1889,Marble Point West,8.45209564357886,44.546568005592604 -1915,Marble Point West,9.141095871037914,44.076698295982474 -1926,Marble Point West,8.799734941552623,43.88433012343487 -1932,Marble Point West,9.290358385101703,44.32530336948128 -1934,Marble Point West,9.359472161365478,43.74780675509436 -1942,Marble Point West,9.260071652657167,43.90435808234407 -1947,Marble Point West,8.65848337324187,45.07142275990385 -1949,Marble Point West,9.43850049324803,43.89347603859564 -1972,Marble Point West,8.0156157028403765,43.47639340062462 -1976,Marble Point West,9.49583143721879,43.65393836419089 -1996,Marble Point West,9.171603666653947,44.03831519209502 -2001,Marble Point West,8.992120463231815,44.19456728218298 -2045,Marble Point West,9.481159506543042,44.05929231573226 -2062,Marble Point West,8.587342308433227,43.40368280749146 -2071,Marble Point West,9.412033704110863,43.097861494341785 -2079,Marble Point West,9.736155889430384,44.640496050695425 -2087,Marble Point West,9.680090141603593,45.951183879053794 -2120,Marble Point West,8.708099061255943,45.015860680282266 -2161,Marble Point West,8.749836941137243,44.48614746845899 -2173,Marble Point West,9.930329254221506,45.04098128351159 -2181,Marble Point West,9.226996295543065,44.01867741159928 -2219,Marble Point West,9.90756304802745,42.39587704678199 -2237,Marble Point West,10.110357558255405,42.18356569495742 -2259,Marble Point West,8.791286708452112,43.636389263669535 -2323,Marble Point West,8.617882622729066,44.26510342047847 -2343,Marble Point West,8.645958245922438,43.65452621230512 -2366,Marble Point West,8.377380945822342,42.954221301506394 -2409,Marble Point West,8.852209932225637,44.236246072589374 -2445,Marble Point West,9.270776895979722,42.542228152415476 -2519,Marble Point West,8.695934082601786,43.52632213905475 -2525,Marble Point West,8.7643100306459,43.499249156968276 -2572,Marble Point West,8.795010027766505,44.040720862805905 -2590,Marble Point West,8.578152783578254,44.42212591063763 -2595,Marble Point West,9.208564036912406,46.47471213374108 -2598,Marble Point West,9.414517252723325,42.85672789365364 -2612,Marble Point West,8.40517824203503,42.33295254442958 -2613,Marble Point West,8.396215862435675,45.5448007118959 -2620,Marble Point West,9.57753967662513,45.37463849579967 -2621,Marble Point West,8.659367646517723,45.05628480450562 -2625,Marble Point West,8.984558264284736,44.06559534548365 -2652,Marble Point West,9.670252805959912,43.66034913355214 -2685,Marble Point West,8.796607784912469,43.82812655610248 -2694,Marble Point West,9.18996508462049,45.08386807034851 -2731,Marble Point West,9.159188226971404,45.71875231327777 -2755,Marble Point West,9.30446751935239,45.24490402042728 -2776,Marble Point West,8.464629169653836,44.76807391146796 -2794,Marble Point West,9.034725373724358,44.26010637602623 -2823,Marble Point West,9.18131331240942,45.890900675148856 -2828,Marble Point West,9.358428994403479,45.355620652522276 -2846,Marble Point West,8.426666614483814,44.8111256962831 -2865,Marble Point West,9.415286089151023,44.23345847099088 -2882,Marble Point West,8.492462225292318,43.88443169612681 -2884,Marble Point West,9.477638957773612,44.393270012856405 -2922,Marble Point West,7.80109419753318,44.16441754406655 -2925,Marble Point West,9.070710135854139,43.893650845209294 -2957,Marble Point West,8.611416059846157,43.37037713801618 -2966,Marble Point West,9.053844627201288,43.222129375964535 -2977,Marble Point West,9.087149495676192,45.05985399207115 -2981,Marble Point West,8.255427989423621,43.13663265440747 -3016,Marble Point West,8.62097826697957,44.243844994411106 -3095,Marble Point West,8.99690528824558,43.81119092493864 -3097,Marble Point West,8.558439531462083,44.792724873073276 -3116,Marble Point West,8.753792531814222,44.907461548096414 -3119,Marble Point West,8.788734787023534,42.68190912900741 -3126,Marble Point West,7.821147532496004,44.96155351182435 -3154,Marble Point West,8.89210937867937,43.52569261913873 -3158,Marble Point West,8.618098180793213,41.83845999198786 -3159,Marble Point West,9.426494011744401,44.462175202281195 -3174,Marble Point West,9.370636761796876,44.45173055689875 -3189,Marble Point West,9.070574436923586,41.56345103574336 -9,McMurdo East,17.835328943175913,37.97386086717183 -26,McMurdo East,17.988034923301257,35.20703515885692 -36,McMurdo East,18.303944425898955,37.882686868058265 -92,McMurdo East,18.076694533113294,36.44599436400491 -99,McMurdo East,17.5660318133285,35.65066949849996 -128,McMurdo East,16.490776395195137,38.21627033210683 -137,McMurdo East,17.220420893626265,36.491847016786195 -139,McMurdo East,18.96675295049203,36.156359755549836 -140,McMurdo East,17.36880147953721,35.139908977503815 -195,McMurdo East,18.190260994673036,36.44266768875352 -201,McMurdo East,18.279344294744913,36.03197519946215 -231,McMurdo East,18.006139125850446,37.50816959762749 -233,McMurdo East,17.453785103040502,36.95951160465535 -270,McMurdo East,18.082693963972172,37.8400738092704 -278,McMurdo East,17.393596759811928,38.372352508896604 -312,McMurdo East,17.597438310841614,35.87208870492008 -332,McMurdo East,18.041177694712324,35.44769653766253 -368,McMurdo East,16.991356027077593,37.077337292307504 -460,McMurdo East,17.6441401163794,37.37737368999807 -462,McMurdo East,18.032160183064356,39.05552130202341 -472,McMurdo East,18.17771034879505,36.3804070973581 -476,McMurdo East,17.98177505284898,37.08834006986892 -486,McMurdo East,18.742765521867437,38.11355595733359 -579,McMurdo East,18.187345056415484,37.6295255365551 -580,McMurdo East,18.151008327681534,36.702809134810295 -589,McMurdo East,18.17352057341741,37.60561187960967 -595,McMurdo East,17.673489145530556,39.25453798940532 -653,McMurdo East,18.99116403493821,38.5013700046012 -659,McMurdo East,16.821788000851612,37.135715623464286 -662,McMurdo East,18.236436507610094,36.242910488594596 -667,McMurdo East,16.88527635645036,37.21003180278172 -676,McMurdo East,18.338804250654874,36.27977811927688 -734,McMurdo East,17.787868982638468,36.902266720777206 -736,McMurdo East,17.203858035241275,36.579047952332864 -817,McMurdo East,17.395266795414337,35.74882869474317 -830,McMurdo East,19.339803085778357,37.88395357466945 -869,McMurdo East,17.82866724191551,35.18043944577198 -874,McMurdo East,18.34780636522426,36.08461702791085 -913,McMurdo East,16.75621475392895,35.46161090250448 -917,McMurdo East,18.128864981574,36.52197556782032 -926,McMurdo East,18.42684055420362,34.74370009195054 -933,McMurdo East,17.85592034155351,36.91446832544735 -943,McMurdo East,17.779306522594492,36.42672154462047 -944,McMurdo East,18.157413793703824,38.222954640018145 -978,McMurdo East,18.886945541633146,37.00689325048251 -988,McMurdo East,17.29687236952784,37.25260382733272 -993,McMurdo East,18.341544235639027,35.321325359854455 -1032,McMurdo East,18.34692323495297,35.97766176082327 -1040,McMurdo East,17.87114294569292,37.864081336272996 -1061,McMurdo East,18.995299472666566,38.578576588911616 -1071,McMurdo East,16.974032098967985,38.01215853415162 -1168,McMurdo East,17.577657925003347,37.3562701320288 -1178,McMurdo East,17.424354746252938,36.81439873634131 -1181,McMurdo East,17.485368917588232,38.18059997750643 -1194,McMurdo East,17.727452574142767,36.364801289446795 -1206,McMurdo East,17.665001795654565,38.07239280578426 -1210,McMurdo East,17.47536266119311,35.93868843449469 -1253,McMurdo East,18.72921509402539,37.607745515446595 -1257,McMurdo East,17.71244768682317,37.51921021519628 -1273,McMurdo East,18.264632390627153,37.82927317737501 -1287,McMurdo East,17.00321651027211,37.452429882439 -1318,McMurdo East,17.394469156732995,34.617120304202935 -1368,McMurdo East,17.49029000674645,36.552001177633166 -1389,McMurdo East,18.858734019516415,35.50374743607133 -1420,McMurdo East,18.35639960363935,37.67993319560467 -1431,McMurdo East,17.490362515054986,35.73433197221471 -1436,McMurdo East,17.543793829090312,36.711540539254614 -1447,McMurdo East,18.561041783918654,36.808221452510004 -1452,McMurdo East,18.17276998267929,38.14308079577196 -1456,McMurdo East,18.625406839708223,37.122703267298405 -1473,McMurdo East,18.127287075492347,36.454991468392656 -1475,McMurdo East,18.298862199679917,35.655828532500855 -1485,McMurdo East,18.744241186906567,37.274122968064006 -1486,McMurdo East,17.23326479061026,36.334608519706606 -1515,McMurdo East,17.759287585924923,37.33104164512944 -1526,McMurdo East,17.628538576188955,35.33202520195901 -1532,McMurdo East,17.407356808976758,37.15030352437817 -1554,McMurdo East,18.197250076618616,36.00152815027334 -1588,McMurdo East,17.839980517733608,37.13593601634557 -1613,McMurdo East,19.01268611387329,37.385035367786074 -1621,McMurdo East,17.926263604836905,35.9623310732824 -1664,McMurdo East,18.02284096578907,36.73345556844177 -1702,McMurdo East,18.888401139094167,37.28558112562487 -1706,McMurdo East,18.29337366480837,38.35056883647744 -1730,McMurdo East,17.34624716250731,34.36738456989632 -1758,McMurdo East,18.16919053614073,39.354752695485345 -1788,McMurdo East,17.71033496057433,36.9849588272957 -1792,McMurdo East,18.379484056128234,37.74007848337136 -1801,McMurdo East,18.393067737334743,38.0179709988178 -1829,McMurdo East,18.989423224313576,37.03214216390175 -1836,McMurdo East,16.012296655410044,37.330233931205726 -1855,McMurdo East,18.025116461803925,37.6161941740345 -1890,McMurdo East,18.38937656486248,36.44809088721111 -1909,McMurdo East,17.9405912358057,37.512188992982885 -1917,McMurdo East,17.592361308993166,36.902504591631505 -1928,McMurdo East,17.65992245657217,36.890723095139656 -1977,McMurdo East,17.923078412547945,36.64805108469088 -1981,McMurdo East,17.390535269041408,35.49033164752212 -1986,McMurdo East,18.58883615168855,38.06560749086066 -2003,McMurdo East,18.585026843513905,36.7152320495275 -2016,McMurdo East,18.400613919388768,35.75178447914179 -2108,McMurdo East,19.294079588371794,35.538792000384404 -2112,McMurdo East,19.174855432850404,36.71359392189536 -2171,McMurdo East,18.110662325275218,35.8607280372548 -2211,McMurdo East,17.909728294784912,36.21958786391879 -2212,McMurdo East,17.213129295762634,36.31631158233832 -2220,McMurdo East,17.307777592429414,37.154870765537716 -2229,McMurdo East,17.759569965510597,37.7102458950805 -2234,McMurdo East,18.063420741670427,36.05099627834863 -2286,McMurdo East,18.440713231464006,38.143890289574166 -2300,McMurdo East,17.962172327948462,35.342923742782176 -2301,McMurdo East,17.311539568011334,35.28613275164642 -2313,McMurdo East,18.279452453001145,36.01150458526878 -2326,McMurdo East,18.186960390362177,35.832300194532166 -2331,McMurdo East,18.397238822531207,39.53014606125739 -2341,McMurdo East,18.611216322188845,37.02855043342867 -2381,McMurdo East,18.268366106173165,35.611355688672674 -2386,McMurdo East,17.615829922512695,36.793235452558946 -2451,McMurdo East,18.49083205724831,39.967140740194054 -2465,McMurdo East,17.374186677897963,35.78718322280995 -2483,McMurdo East,17.647324825212994,38.127976882933574 -2484,McMurdo East,18.478673842326113,36.11014573415126 -2491,McMurdo East,17.836059245736855,39.10702644282986 -2516,McMurdo East,18.18526123850084,37.803703683222636 -2537,McMurdo East,18.318771192738417,37.68887776753593 -2544,McMurdo East,18.042842923069166,35.92555362503266 -2554,McMurdo East,16.9354216131478,35.80670458300778 -2562,McMurdo East,17.815359756613837,36.757149521777286 -2575,McMurdo East,16.669309117142447,36.624834006426255 -2580,McMurdo East,18.36878240122466,36.45119896397478 -2588,McMurdo East,17.34628258254911,37.37371044315253 -2642,McMurdo East,17.935836552847505,35.1971261108265 -2676,McMurdo East,17.72147001249342,38.531198787363905 -2692,McMurdo East,17.76476796555849,35.22377825603 -2751,McMurdo East,19.01471097106042,36.28675979867821 -2810,McMurdo East,17.659318479934708,36.16620681937341 -2827,McMurdo East,17.315856044368388,37.58768685834158 -2835,McMurdo East,17.87749317511205,35.752561765604284 -2881,McMurdo East,18.310014465215936,37.08304239922826 -2887,McMurdo East,17.471479317999915,39.219019607997765 -2934,McMurdo East,18.377551016629866,35.891567496430696 -2950,McMurdo East,18.496259673028337,37.23869308787789 -2969,McMurdo East,17.88569666024302,38.29412188589511 -2984,McMurdo East,18.730700598245516,36.861777297015834 -2985,McMurdo East,18.17324245469625,37.719187623108745 -3044,McMurdo East,18.338882737274528,38.4509079768239 -3045,McMurdo East,17.81182118725492,38.179975724361945 -3061,McMurdo East,18.112557610465963,38.43365746025069 -3101,McMurdo East,18.755893366705504,37.754215529718955 -3138,McMurdo East,18.079318181053186,36.542015834555066 -3141,McMurdo East,17.701267380671833,34.665268825353806 -3182,McMurdo East,17.637477721608104,37.68254638364595 -3187,McMurdo East,17.67860034653763,38.13932126914431 -24,McMurdo North,9.663878000962754,201.2836807816876 -63,McMurdo North,9.825463247433428,199.5057708460451 -64,McMurdo North,9.527963093022151,201.09313997320749 -66,McMurdo North,9.872318192135662,198.90958140260364 -76,McMurdo North,10.257185696925605,202.17019537053446 -96,McMurdo North,10.146685592280908,200.42653569328502 -109,McMurdo North,10.257792556377053,198.55378747587977 -118,McMurdo North,10.2045889610543,201.51576077568794 -143,McMurdo North,9.741385174988288,199.8947080095396 -144,McMurdo North,10.180614629397262,198.73853749181447 -153,McMurdo North,9.414507758863184,200.1734094086397 -163,McMurdo North,10.06192982928503,200.16421412459385 -175,McMurdo North,9.742531170836232,199.89259983113965 -196,McMurdo North,10.121321370968092,201.74226442782654 -257,McMurdo North,10.35149554107914,198.51622364053586 -259,McMurdo North,8.668220218019195,200.78987726299727 -269,McMurdo North,9.930806914571777,198.2015856683975 -283,McMurdo North,9.648732657810466,200.33680629508603 -294,McMurdo North,9.706053671541103,200.67891899117984 -371,McMurdo North,8.960122435712375,200.04125194515439 -389,McMurdo North,9.36437329122072,200.69101510304716 -393,McMurdo North,10.616865613080323,200.76406524143587 -394,McMurdo North,9.049110803614703,201.47110674656415 -411,McMurdo North,9.704069385441937,197.66823519611333 -433,McMurdo North,10.29179773091168,199.11854126799506 -445,McMurdo North,9.856380208569927,200.18721437889187 -454,McMurdo North,8.989130210778725,199.82561426679504 -488,McMurdo North,10.05307194765475,199.11257155629286 -533,McMurdo North,10.920279402546086,199.57604104468246 -555,McMurdo North,10.14284484121184,198.76070921229382 -557,McMurdo North,9.368857874508565,200.32102360782824 -597,McMurdo North,9.824772799354761,201.24714320322454 -680,McMurdo North,9.549454082120317,201.04389489808 -681,McMurdo North,9.711359763208755,200.51471391261393 -696,McMurdo North,10.058959152637723,198.2015874989925 -708,McMurdo North,10.925756116286093,199.39541456383697 -727,McMurdo North,9.029029613924031,199.0397009696676 -738,McMurdo North,10.008578629999805,199.31209496841697 -744,McMurdo North,9.494787126471316,199.17646487835702 -757,McMurdo North,9.92221163427247,201.34123540855444 -768,McMurdo North,10.023478574871124,200.13365770813834 -771,McMurdo North,9.86716268970881,199.82829788249694 -784,McMurdo North,9.266937966713042,199.06444979915247 -794,McMurdo North,10.118045514549738,199.56149246947587 -795,McMurdo North,9.501992554178774,200.04783004092425 -797,McMurdo North,10.100716235499597,200.71236770606185 -831,McMurdo North,9.619371813841319,200.98238654000343 -839,McMurdo North,9.970322397384175,202.85612594701635 -894,McMurdo North,9.488056425840924,200.24383162274572 -915,McMurdo North,10.02541534751083,200.42481831918684 -920,McMurdo North,9.220184962680182,199.35654990755395 -921,McMurdo North,9.456557509276466,201.79425489403616 -955,McMurdo North,9.387060431587475,200.11840019510547 -976,McMurdo North,10.124186077688913,199.99873227240008 -982,McMurdo North,9.858890924895674,201.7019254576967 -985,McMurdo North,9.969783947049992,200.078378159557 -1007,McMurdo North,9.953159924202522,200.3324445041234 -1035,McMurdo North,10.13192041722476,200.83704261302918 -1051,McMurdo North,9.780174349951823,199.13157590626048 -1054,McMurdo North,10.23406347349497,201.2625906197594 -1078,McMurdo North,10.648593722230181,199.83263578271902 -1094,McMurdo North,10.305832429652854,198.73372279686583 -1105,McMurdo North,9.796236021998604,199.7253482858043 -1111,McMurdo North,9.68261127181099,199.73327770174552 -1116,McMurdo North,10.377904304681469,199.9026937762515 -1123,McMurdo North,10.858502113707708,200.18402102047025 -1144,McMurdo North,10.008371072662369,200.28568189211305 -1228,McMurdo North,9.414080380225466,200.01365884975982 -1241,McMurdo North,9.731076251025913,200.33760537422393 -1244,McMurdo North,10.614306784900469,198.55115740290145 -1247,McMurdo North,9.279685371204373,199.1346898401749 -1265,McMurdo North,9.820016140926073,200.53819178085766 -1278,McMurdo North,9.75833603044667,200.21632594229152 -1285,McMurdo North,10.164912059023202,199.434520044781 -1302,McMurdo North,9.97893703841961,200.46984698980094 -1321,McMurdo North,10.196124509473371,199.66901752666422 -1335,McMurdo North,10.386999481138753,200.40646581338677 -1409,McMurdo North,10.450507314544412,200.1045018036386 -1423,McMurdo North,9.810986811627108,199.66466577909617 -1433,McMurdo North,9.917854118380712,199.49666373521188 -1477,McMurdo North,10.165059155356346,198.38365772306122 -1619,McMurdo North,10.52772519106785,201.466549666166 -1666,McMurdo North,9.561019425935735,202.01526959602103 -1672,McMurdo North,9.65499046867747,200.18644718386892 -1707,McMurdo North,9.819612344764533,198.18121388022797 -1731,McMurdo North,9.891699360059546,199.5015485132859 -1757,McMurdo North,10.17064807432659,199.36636907918358 -1761,McMurdo North,10.685717417023737,200.530951193792 -1775,McMurdo North,9.464641907313316,200.06881317044122 -1789,McMurdo North,9.827582605748542,200.10149201768832 -1808,McMurdo North,9.351664376910302,200.98634801813384 -1826,McMurdo North,9.380844271925891,200.82795760772848 -1831,McMurdo North,9.31576107212527,199.5798406502291 -1873,McMurdo North,10.053480969999153,199.7849673570785 -1894,McMurdo North,9.920852301266962,198.42528968837823 -1914,McMurdo North,10.681597547607012,199.55573948261713 -1943,McMurdo North,9.635655078674022,199.10254332153536 -1982,McMurdo North,9.365647492377137,198.82639861748785 -2002,McMurdo North,9.759100170875804,201.85981225773284 -2027,McMurdo North,10.677773301060807,200.7432471992581 -2055,McMurdo North,10.4780799830855,200.4182011524153 -2059,McMurdo North,8.52841914802926,198.9553727299996 -2099,McMurdo North,10.974855785662383,200.0525531139084 -2139,McMurdo North,10.185449893578651,199.4866219374388 -2144,McMurdo North,9.852422200898788,201.9299446651735 -2164,McMurdo North,10.287016575778555,198.1978997473642 -2180,McMurdo North,10.043283223438978,198.72430724448535 -2192,McMurdo North,10.154277706991884,201.07141923315265 -2232,McMurdo North,10.079239423715933,199.5741705261624 -2254,McMurdo North,11.08990766724387,199.35144839658378 -2282,McMurdo North,10.24113024784923,200.6278007745046 -2287,McMurdo North,10.389446550286447,197.67871488658213 -2321,McMurdo North,9.78699217172899,200.22940637972005 -2329,McMurdo North,9.8707216719371,199.46684127524472 -2332,McMurdo North,10.404707972973073,198.84411273497284 -2354,McMurdo North,9.627426864682802,200.7971617133237 -2400,McMurdo North,9.671643766047797,199.50131558572343 -2402,McMurdo North,10.13676646481172,199.948756658657 -2414,McMurdo North,9.29334182808631,199.33446151433083 -2418,McMurdo North,9.8000313113138,199.42723406945598 -2424,McMurdo North,10.77478631335087,200.53660451555868 -2460,McMurdo North,10.812795864320544,201.50838866197668 -2469,McMurdo North,10.383855601893242,198.53028026235543 -2472,McMurdo North,10.008911493810942,200.070311221283 -2485,McMurdo North,9.602400160783784,200.60424608478147 -2494,McMurdo North,9.923358647639104,199.65297741368232 -2548,McMurdo North,10.621097780929478,200.40449218557345 -2550,McMurdo North,10.414218952433048,198.61695441123808 -2551,McMurdo North,10.870120996543635,199.9456050633691 -2552,McMurdo North,9.164133864327571,199.2352414043029 -2602,McMurdo North,10.453821398404221,198.55296639966386 -2615,McMurdo North,10.643771960225203,200.28243143009854 -2631,McMurdo North,9.781460681616773,200.4411494080353 -2646,McMurdo North,10.24875894515449,200.63510384308958 -2654,McMurdo North,9.635096412747885,200.29438559627278 -2661,McMurdo North,10.901062127800204,199.7851226892215 -2689,McMurdo North,9.844162433050794,201.082318427166 -2701,McMurdo North,9.8044221002197,201.25538533597816 -2768,McMurdo North,10.642819908107537,201.5091609228714 -2811,McMurdo North,10.082478011112824,200.18743856920347 -2820,McMurdo North,9.695523822896854,200.86297673429277 -2821,McMurdo North,9.737187457301472,200.59093345029183 -2841,McMurdo North,10.255092092301998,200.1003477451062 -2864,McMurdo North,10.627663304272499,198.95011209710032 -2867,McMurdo North,10.054688868078363,201.08936760896276 -2916,McMurdo North,9.58184479683377,200.24467092535255 -2924,McMurdo North,10.557565112738448,198.70936980018857 -2930,McMurdo North,10.535379725215789,200.93724922808337 -2951,McMurdo North,10.07412855183619,200.5992678847268 -2958,McMurdo North,10.014517897175889,199.62452819565956 -2963,McMurdo North,9.969539245830278,199.35311467579209 -3000,McMurdo North,9.779763660123441,200.8486731183761 -3011,McMurdo North,9.904201466291628,199.71653730936572 -3013,McMurdo North,10.089513070874748,199.9827367873905 -3023,McMurdo North,11.273457982010672,201.0538889333322 -3028,McMurdo North,9.61596382595912,201.00811694265033 -3069,McMurdo North,9.705747466988628,199.7667768693383 -3114,McMurdo North,9.997940775598531,200.84533848504927 -3122,McMurdo North,10.618013501560794,200.12124463221264 -3167,McMurdo North,10.06836108344116,200.73378608982324 -3180,McMurdo North,9.097938326758474,199.696013782572 -3191,McMurdo North,10.099369267958087,199.65750522623014 -3192,McMurdo North,9.492188858326669,201.76293047826243 -39,McMurdo South,11.35284021274652,11.213936491581734 -48,McMurdo South,10.175618417709998,11.823136163709117 -51,McMurdo South,10.552039891567208,11.326375943549408 -61,McMurdo South,11.181848519742555,9.490420927073979 -90,McMurdo South,11.837200442614293,11.939495097100908 -93,McMurdo South,10.456298546813157,10.150530557896568 -95,McMurdo South,11.026583088511584,11.506632688605793 -113,McMurdo South,10.784554365389935,11.707241097745875 -127,McMurdo South,10.875332434423425,11.618322935657888 -182,McMurdo South,10.809806765299525,10.102549334219812 -192,McMurdo South,10.585713337033637,7.692279296269789 -208,McMurdo South,11.236481046103684,9.499297310134061 -223,McMurdo South,11.48275666901387,9.302460710066477 -225,McMurdo South,11.499411368570723,12.726324810346906 -252,McMurdo South,11.044582557796618,10.222430302984653 -274,McMurdo South,10.614979283823443,11.461758177427717 -281,McMurdo South,10.961895233207771,10.854409413903438 -338,McMurdo South,11.356701272115183,10.567943044708727 -351,McMurdo South,11.351916844733763,10.040479884877783 -355,McMurdo South,10.646304680354035,10.032101095761487 -370,McMurdo South,11.752949483320211,11.1137098040627 -380,McMurdo South,11.965820763362627,11.322018728760519 -409,McMurdo South,11.81869333979016,10.881427940152852 -448,McMurdo South,10.95188058253548,12.372495821954768 -468,McMurdo South,11.017525039491165,11.877471508553779 -480,McMurdo South,10.417986846620229,10.353926933296098 -481,McMurdo South,11.395720175102683,11.511312486904867 -500,McMurdo South,11.376946235506189,10.095520972546296 -518,McMurdo South,10.937459876103755,10.559041255254709 -539,McMurdo South,10.995983067811867,13.16021313495364 -569,McMurdo South,10.531818227284441,10.461036013398278 -599,McMurdo South,11.532552593679377,10.740114523039917 -635,McMurdo South,11.882491577029594,13.225225174093172 -637,McMurdo South,11.53464307927003,11.504205096698275 -661,McMurdo South,10.91982799276161,10.167583639065867 -717,McMurdo South,10.847874414436957,11.2805322158687 -763,McMurdo South,10.429622700761955,11.398348623213769 -780,McMurdo South,10.967912529357209,10.743778704913634 -787,McMurdo South,11.383737162200367,12.006426017831862 -799,McMurdo South,11.635302797458454,10.860324797796862 -827,McMurdo South,11.36744386653905,10.442570296239666 -837,McMurdo South,10.64368041535464,9.890047936139979 -849,McMurdo South,10.50909610965418,12.844945522982378 -859,McMurdo South,11.612317890511756,9.050158602980211 -908,McMurdo South,11.618988343243213,11.917664990875616 -930,McMurdo South,10.76228310202238,9.741187695261576 -991,McMurdo South,12.051526086972512,11.859324525130198 -992,McMurdo South,11.601555270510627,11.395533093290592 -994,McMurdo South,11.33207297603534,11.29293752087164 -1009,McMurdo South,10.550737696518294,10.472401029315945 -1027,McMurdo South,11.002910663482693,10.350100277412096 -1034,McMurdo South,11.055695508259744,11.216739142807635 -1185,McMurdo South,10.97697054409453,10.380254964813185 -1217,McMurdo South,10.353296881642507,10.229004265044194 -1221,McMurdo South,10.79987548556349,10.611321027514885 -1225,McMurdo South,11.093712740099265,10.736168004120461 -1266,McMurdo South,11.361940802809238,10.957461701427306 -1268,McMurdo South,10.937519701446694,11.038737640968582 -1271,McMurdo South,11.440958455014485,12.106316200623622 -1323,McMurdo South,11.081334794283602,10.197472828200127 -1324,McMurdo South,10.960630468840375,10.869484555239822 -1396,McMurdo South,10.804327216329161,10.273524669609202 -1466,McMurdo South,10.69925468898181,10.79063762782001 -1543,McMurdo South,11.804004229976186,10.438967325179783 -1575,McMurdo South,11.110032869359989,12.199306357079468 -1596,McMurdo South,11.22613768233283,12.038822171615479 -1655,McMurdo South,10.911334258662437,12.293696525999446 -1665,McMurdo South,11.363231354166821,10.940909525918235 -1681,McMurdo South,10.661371824386503,11.499647188389154 -1701,McMurdo South,10.642021143363646,10.54511873048426 -1721,McMurdo South,11.238875531721513,11.4672257042707 -1754,McMurdo South,10.565904854998386,10.14545704332827 -1762,McMurdo South,11.3984723777443,12.209433219236345 -1763,McMurdo South,10.515610609808865,11.52720679592998 -1798,McMurdo South,11.017048917794336,11.747033482385332 -1799,McMurdo South,11.810504832282572,11.034770778697773 -1813,McMurdo South,10.741158481443634,10.94034059052067 -1837,McMurdo South,11.007512233545453,9.833412794445234 -1887,McMurdo South,11.171072472788078,10.334439688194573 -1906,McMurdo South,10.681757997157593,11.147804851879693 -1938,McMurdo South,10.491019781023553,10.59866323264727 -1966,McMurdo South,10.541508463207284,12.31584972383483 -2013,McMurdo South,10.348241609392831,12.298797529300128 -2039,McMurdo South,11.237377258390323,10.802904545056434 -2053,McMurdo South,11.032230425277756,10.696671641475573 -2092,McMurdo South,11.105486005664774,10.181856764911178 -2111,McMurdo South,10.218869432409967,13.490098999338576 -2132,McMurdo South,10.985094483279328,9.594173061956187 -2149,McMurdo South,10.868597762921572,11.466188821016596 -2188,McMurdo South,10.887281222527296,11.260650743845462 -2198,McMurdo South,10.8588149250283,11.50369563823308 -2223,McMurdo South,12.003348228315472,10.770788050723953 -2265,McMurdo South,10.77800129455457,10.55904983937322 -2266,McMurdo South,10.409300551409682,10.662707617003973 -2273,McMurdo South,10.93381279640143,9.66498062389643 -2275,McMurdo South,10.68782983919523,10.272045896328873 -2279,McMurdo South,10.365053227031446,10.814310427020834 -2290,McMurdo South,11.139175262831012,11.36929847287088 -2311,McMurdo South,11.365586952188153,10.19763157341496 -2320,McMurdo South,10.768610848888557,9.9209029960545 -2337,McMurdo South,11.204465024452494,12.200428734084017 -2375,McMurdo South,10.363818896436033,11.689722416844496 -2384,McMurdo South,10.706216583195957,12.001713976813692 -2420,McMurdo South,10.211764303191087,10.237780955631779 -2430,McMurdo South,10.734097041163636,11.293179019145695 -2439,McMurdo South,10.21518864631226,12.345952636140256 -2440,McMurdo South,10.737237704740297,11.59450861351026 -2442,McMurdo South,10.279841101245342,12.23589635108878 -2449,McMurdo South,11.03648363375126,11.427203488285468 -2455,McMurdo South,10.742925967715077,11.651193850853453 -2468,McMurdo South,11.35954464000873,10.86766606453692 -2486,McMurdo South,11.057736408934398,11.52858520567737 -2526,McMurdo South,11.648132866593812,11.8775531032539 -2577,McMurdo South,10.657697259477327,9.965968074173 -2587,McMurdo South,10.601257493661477,11.608317733367867 -2589,McMurdo South,10.445686205075484,10.910205429422948 -2607,McMurdo South,11.183949176406239,11.242596323530229 -2657,McMurdo South,10.678552076478278,10.615689559950754 -2658,McMurdo South,10.75764078049913,9.852406953663623 -2677,McMurdo South,10.994795851175745,10.452541300769386 -2683,McMurdo South,11.616858155144048,12.387208232699196 -2706,McMurdo South,11.000956854920915,11.246358140242787 -2763,McMurdo South,11.292280544312058,11.822551586240357 -2774,McMurdo South,10.900967188458068,11.010308582632302 -2798,McMurdo South,10.955699280933933,11.994557145976133 -2831,McMurdo South,11.14193680464846,9.566485552402463 -2856,McMurdo South,10.511981641895712,11.413437738399741 -2875,McMurdo South,10.315627961169186,11.118432249928386 -2962,McMurdo South,10.420017001306853,11.543449500842412 -3004,McMurdo South,11.268853010721598,11.695236230695816 -3027,McMurdo South,10.760292080646556,11.334388554879357 -3032,McMurdo South,11.299952914011905,11.01601766767982 -3091,McMurdo South,10.525072183898079,10.959466621327987 -3111,McMurdo South,10.982239649004296,11.162734230542691 -3134,McMurdo South,11.34431614812413,10.801020988567686 -3150,McMurdo South,10.712272268278046,9.472956389643386 -3184,McMurdo South,11.562721735414812,8.353100553764053 -7,McMurdo West,11.066718532899243,88.69757857099329 -18,McMurdo West,11.004435788170051,87.55280671051447 -31,McMurdo West,10.097917095555978,89.39207071019156 -44,McMurdo West,10.917299940188547,89.26656078430022 -49,McMurdo West,10.729560268505349,89.04916094898992 -59,McMurdo West,10.363126881654505,90.09312715268692 -78,McMurdo West,11.108576107911519,90.55889594410645 -106,McMurdo West,9.320394264829805,88.75630134832767 -121,McMurdo West,10.74771997291032,90.16400488496839 -125,McMurdo West,10.572683369239481,90.7098288688767 -130,McMurdo West,10.633451374377021,89.55618448953449 -157,McMurdo West,10.466025834061702,89.2971981892039 -186,McMurdo West,11.535464620930325,88.88744398258581 -209,McMurdo West,10.593052063525445,90.24461611827192 -221,McMurdo West,10.485554857309895,89.37275622941101 -238,McMurdo West,12.253757864989778,88.66118362538306 -282,McMurdo West,11.019224684406963,90.04811635698437 -295,McMurdo West,11.66954214150941,90.28861568986758 -323,McMurdo West,9.465979590402382,90.79702281517687 -345,McMurdo West,12.023055275726485,88.6168213077741 -373,McMurdo West,11.39155570167814,90.48015926492837 -416,McMurdo West,11.073212845633538,89.93338884695692 -439,McMurdo West,10.682703313407867,91.9093314617788 -443,McMurdo West,11.357263806020027,90.34251962189282 -459,McMurdo West,11.06295005220835,88.83866330263771 -466,McMurdo West,10.421261287401101,88.61260470326475 -482,McMurdo West,10.499461426154182,89.77377506192765 -490,McMurdo West,10.501169430806637,88.37203229161352 -499,McMurdo West,10.967842136554587,89.51381683558715 -501,McMurdo West,11.231382613876564,90.49498983004253 -510,McMurdo West,11.368109716215837,89.35630318949173 -528,McMurdo West,11.431634271667887,90.4632114670661 -546,McMurdo West,10.29946140798693,89.16075557801999 -585,McMurdo West,10.408028471955237,88.7549728042507 -598,McMurdo West,11.627264001493703,89.24911230168286 -631,McMurdo West,11.32156843048696,89.006156443829 -638,McMurdo West,10.828046952495553,90.20850731494303 -651,McMurdo West,11.309782936280632,90.40809279709104 -695,McMurdo West,10.141405833341816,89.35536237827054 -706,McMurdo West,11.15500728786834,89.08629886862859 -720,McMurdo West,10.786441068180581,87.21482321514078 -731,McMurdo West,11.487504513028679,89.38187814186475 -739,McMurdo West,11.47944914251809,89.65910088484875 -770,McMurdo West,10.877701507871198,90.49293844365 -773,McMurdo West,11.652121715355978,91.10118877290732 -777,McMurdo West,11.461693472022011,89.66542525530313 -779,McMurdo West,11.007336740325337,90.07363880308468 -801,McMurdo West,11.904551792743355,88.23139785395392 -804,McMurdo West,10.745435474653226,91.42438582854744 -805,McMurdo West,11.440481313734459,90.99157541221327 -813,McMurdo West,10.484393016290273,90.2343955142128 -841,McMurdo West,11.136755475923065,90.58279411043839 -861,McMurdo West,11.249294223842845,89.14981391042596 -940,McMurdo West,11.38494240284141,87.84346167967614 -954,McMurdo West,10.804077244190813,89.89828036314617 -1023,McMurdo West,10.788002871641202,89.14949611860072 -1026,McMurdo West,10.982507004886383,89.39797771261105 -1044,McMurdo West,11.98835252120379,87.48547048530692 -1045,McMurdo West,11.518352672584642,91.73306837846873 -1049,McMurdo West,11.2928170058284,88.00984991905524 -1095,McMurdo West,10.868296667591519,89.54562659871705 -1101,McMurdo West,10.269261176867024,89.71080172602258 -1118,McMurdo West,10.619064142854546,90.00997535255073 -1142,McMurdo West,11.673324694466585,89.43374227913526 -1146,McMurdo West,10.414599605893173,88.97549589690853 -1154,McMurdo West,10.775278318252216,88.9946563557479 -1163,McMurdo West,11.325271890288645,90.61312741514656 -1172,McMurdo West,10.926137820582912,90.22622324822343 -1175,McMurdo West,11.36701756759098,89.31246028778337 -1196,McMurdo West,11.327445135399897,87.77178485372308 -1249,McMurdo West,10.847506522340751,90.06797935386787 -1254,McMurdo West,10.785500135680488,91.14272953615662 -1356,McMurdo West,10.711704966416992,89.95095415587012 -1384,McMurdo West,11.542521194396134,91.68033505959643 -1411,McMurdo West,10.892643877099777,90.54521696035991 -1445,McMurdo West,11.714126792932738,90.1684257269488 -1450,McMurdo West,10.194622040666669,89.51659271474534 -1479,McMurdo West,11.100515956953222,89.18031509886278 -1503,McMurdo West,11.01976691850967,88.88397334965767 -1504,McMurdo West,11.377551846936996,90.43713238370619 -1507,McMurdo West,11.90913155502475,90.50121926044316 -1510,McMurdo West,11.69192414095576,89.35769608343854 -1513,McMurdo West,10.908965972803374,88.9309423656514 -1553,McMurdo West,10.884681960849338,91.23552537421979 -1612,McMurdo West,11.315583399078054,89.06542520047753 -1656,McMurdo West,11.29351833116838,90.03169004876818 -1677,McMurdo West,11.27143051239069,90.43998143863847 -1723,McMurdo West,10.517880294859031,87.87755300182361 -1741,McMurdo West,11.093527799093179,91.52223725772939 -1752,McMurdo West,11.88605821920393,89.60933501053137 -1791,McMurdo West,11.453713514690845,89.63051275697327 -1800,McMurdo West,10.993106491065658,89.97675644064701 -1804,McMurdo West,11.417600595541147,89.82721899451542 -1821,McMurdo West,11.384097426697892,91.8217678498502 -1860,McMurdo West,10.820217646811301,87.84610036446136 -1910,McMurdo West,10.535113106523863,92.2685909676054 -1936,McMurdo West,11.734075467704207,90.12065483861348 -1953,McMurdo West,11.083469133731741,89.72325318112422 -1968,McMurdo West,11.104487058671426,90.51010124630263 -2022,McMurdo West,10.84676927290619,90.59032792436645 -2051,McMurdo West,10.223200925724111,89.30308795096883 -2061,McMurdo West,10.906496472254888,89.86213353466566 -2068,McMurdo West,10.59479585513298,89.13018971883541 -2100,McMurdo West,12.126228215313827,89.14926712481574 -2131,McMurdo West,11.007492423101702,90.0485198987588 -2166,McMurdo West,11.34780819968871,91.80515418502628 -2186,McMurdo West,12.012884763140011,89.85171716411394 -2203,McMurdo West,10.221465056170949,89.24280524959416 -2267,McMurdo West,10.172015888225786,90.81020744614071 -2278,McMurdo West,11.557724785047865,88.60484157166756 -2293,McMurdo West,11.328095494352358,90.16389457500966 -2299,McMurdo West,10.92227147278776,90.25912178190507 -2303,McMurdo West,11.134807068820683,92.113942172342675 -2338,McMurdo West,10.374909091643742,87.90439666259604 -2351,McMurdo West,10.874944512219079,88.38179821579055 -2356,McMurdo West,10.72733135225417,90.38647259387962 -2358,McMurdo West,10.751954178492444,90.48781990423 -2395,McMurdo West,10.959761508066988,90.32671274664582 -2422,McMurdo West,10.84520030723878,88.85371490141898 -2435,McMurdo West,11.838672547207082,90.7235996202667 -2457,McMurdo West,11.27329592264629,88.05325539154587 -2459,McMurdo West,10.979672324448703,89.52382341706033 -2470,McMurdo West,11.33184320475739,89.51022158459553 -2475,McMurdo West,11.67115725702465,90.39214802557619 -2508,McMurdo West,10.799840598765607,90.11667160494818 -2529,McMurdo West,11.550955231338312,91.51932981674962 -2556,McMurdo West,10.930778168570178,90.41347543210594 -2565,McMurdo West,11.244758604025975,88.44773127755958 -2585,McMurdo West,10.316904538929847,89.09951498478678 -2622,McMurdo West,11.371910295148352,88.3560938129877 -2626,McMurdo West,11.176992479405593,91.1906408891231 -2634,McMurdo West,10.886480332264641,88.01387857032626 -2638,McMurdo West,10.72960569147016,90.25783109674406 -2695,McMurdo West,10.888030564548982,89.60316874334481 -2722,McMurdo West,11.40148101452057,89.2343796312984 -2778,McMurdo West,10.345388930153687,88.7050662523191 -2809,McMurdo West,10.575445306432108,88.58251970396661 -2824,McMurdo West,10.008428837832776,90.32437994164061 -2871,McMurdo West,10.153611225952492,90.33476120470579 -2894,McMurdo West,10.66658488602757,90.19083115182093 -2929,McMurdo West,10.717536065766081,90.43547209370314 -2946,McMurdo West,11.743448749595931,90.65128852089752 -2971,McMurdo West,10.254675188825026,90.63903176562654 -3029,McMurdo West,11.224517833718872,90.09890833940968 -3037,McMurdo West,10.179881374455697,89.9776343670842 -3054,McMurdo West,10.136354801005927,90.13895181017058 -3160,McMurdo West,11.539922009731445,88.49624918621193 -3170,McMurdo West,11.536732871391562,89.3520359871822 -3197,McMurdo West,11.13458610885204,90.59369271310138 -19,Ross Island North,15.635509516317244,87.3098332371029 -20,Ross Island North,16.13893668321215,87.58789670586262 -25,Ross Island North,15.864561881930875,89.23771718167374 -45,Ross Island North,16.366056065896107,86.66553826312365 -52,Ross Island North,16.355613291998225,88.6300641165889 -65,Ross Island North,16.00566261743446,86.78637383664265 -82,Ross Island North,17.401911363864436,88.49478858502982 -85,Ross Island North,15.914940589859725,87.73901431607577 -116,Ross Island North,16.85345262826262,88.24175910636059 -119,Ross Island North,15.624097249903722,88.12832747567782 -135,Ross Island North,15.665210090722548,89.50467782693318 -190,Ross Island North,15.9947498009107,86.89666104179958 -200,Ross Island North,16.001970715507827,88.1075646779469 -216,Ross Island North,15.642043475874267,86.50106425402676 -317,Ross Island North,15.721681819406337,88.6238239652212 -326,Ross Island North,15.782550626684188,86.21912913237269 -346,Ross Island North,16.09851047557888,89.10328473953354 -381,Ross Island North,16.233905317184536,90.28255356076379 -391,Ross Island North,16.124614836067828,87.92276050275616 -400,Ross Island North,15.858021464315106,86.65601015032664 -421,Ross Island North,16.684172514522935,87.99446782072403 -447,Ross Island North,16.108814660378357,88.85588835808794 -455,Ross Island North,15.350133445541315,87.83866902905531 -465,Ross Island North,16.291408619355213,88.50980394142546 -529,Ross Island North,16.311194916511813,87.8718894710439 -558,Ross Island North,15.567533409701754,87.57357619806076 -562,Ross Island North,15.893233715498877,88.3634168841296 -565,Ross Island North,15.729768739112407,88.41229384991675 -570,Ross Island North,16.957084439143685,89.49858824342714 -634,Ross Island North,15.229732381220412,88.86354652480554 -658,Ross Island North,14.91920619167334,88.45841460889031 -663,Ross Island North,15.202158308919387,88.32311877095532 -679,Ross Island North,15.107856433967873,87.77520664962204 -714,Ross Island North,15.598736763913351,87.75999144051883 -725,Ross Island North,15.710435616578588,87.08080751836926 -737,Ross Island North,16.061669385528564,85.92124900281641 -745,Ross Island North,16.143446133495633,88.17187816823498 -760,Ross Island North,15.451104116695758,88.48759524687799 -765,Ross Island North,15.988956991127603,88.78421329496386 -803,Ross Island North,15.996460976370035,87.35581344669922 -838,Ross Island North,17.038895854966253,88.96320600645717 -873,Ross Island North,15.409058767088478,88.52174723893864 -879,Ross Island North,16.135000188439587,88.94640751799112 -928,Ross Island North,16.939705007585097,88.43338764538463 -942,Ross Island North,15.562352130094125,89.03348321050491 -965,Ross Island North,15.662247340119082,87.92044127623623 -972,Ross Island North,15.775041432334405,87.69604016421077 -1059,Ross Island North,15.74074315281153,88.46426327896091 -1066,Ross Island North,16.523803694642748,88.1368488964946 -1069,Ross Island North,15.670031143652533,87.49172525132965 -1112,Ross Island North,15.725527328591847,90.53345937916764 -1113,Ross Island North,15.638826690779467,89.21288754053906 -1119,Ross Island North,16.309506618180095,88.02594954858819 -1132,Ross Island North,16.371908997166894,88.97132802636472 -1174,Ross Island North,16.441868423629955,87.43629303592513 -1199,Ross Island North,16.05196002107544,89.17699989772281 -1214,Ross Island North,15.535352963608926,88.03887767151564 -1219,Ross Island North,16.088538320643618,90.14520274690798 -1246,Ross Island North,16.684901305708944,87.00065815745221 -1256,Ross Island North,15.544839146952112,88.60470432307791 -1290,Ross Island North,16.344656290173827,88.94067399727652 -1301,Ross Island North,15.660949805468025,87.29381899373527 -1357,Ross Island North,15.171564948794195,87.77787185929252 -1358,Ross Island North,14.947217985536831,87.09279756673862 -1366,Ross Island North,15.308832922835158,88.14376669072152 -1374,Ross Island North,16.038242725301373,86.51657698882161 -1382,Ross Island North,16.79637977854615,88.726109015464 -1500,Ross Island North,14.814512332083,87.63244587980111 -1602,Ross Island North,16.376815664033856,88.30764168610212 -1659,Ross Island North,15.98616250472489,87.98270391430489 -1671,Ross Island North,15.616989235134241,87.99521606410374 -1698,Ross Island North,16.97361973457475,86.03040591946115 -1700,Ross Island North,16.502038153372705,88.01672595326656 -1708,Ross Island North,16.149808166264283,88.17459262359161 -1719,Ross Island North,16.000362340737702,87.91396273423416 -1724,Ross Island North,16.30382547447071,87.41617741987511 -1765,Ross Island North,16.387386341754443,87.57627523300134 -1784,Ross Island North,16.334140854650077,87.7744456233427 -1785,Ross Island North,17.06714578555601,87.31112468881558 -1805,Ross Island North,16.528663394404933,86.634109271109 -1823,Ross Island North,16.86008661517746,88.183517740229 -1833,Ross Island North,14.639694347762024,86.81785399255875 -1867,Ross Island North,15.023965927485259,88.1797393999879 -1877,Ross Island North,15.957468145754413,88.6139446572131 -1898,Ross Island North,16.31915565096318,88.3413117547719 -1901,Ross Island North,15.971510499625118,88.03211018538931 -1950,Ross Island North,16.44960516431863,89.63289944252523 -1960,Ross Island North,15.45120087231783,88.48304895111895 -1988,Ross Island North,16.397246749564886,86.86220817072225 -2010,Ross Island North,16.426055529150105,89.35284093088434 -2043,Ross Island North,15.601600926731926,91.21210204404038 -2050,Ross Island North,16.225403944049212,89.08138264764891 -2070,Ross Island North,16.28702036351384,90.1512315211325 -2103,Ross Island North,16.385465460346385,88.12918849217093 -2157,Ross Island North,16.17972549753576,88.7891662382611 -2191,Ross Island North,15.510278130637866,86.81391285012161 -2221,Ross Island North,16.44121647547136,87.37176701354716 -2248,Ross Island North,15.80491264371482,87.89081497459588 -2276,Ross Island North,15.681847526829761,87.38840713157356 -2297,Ross Island North,16.316340061085402,86.72069462469146 -2396,Ross Island North,15.85263236253664,88.10045982299864 -2408,Ross Island North,16.292463418044097,88.1854847607574 -2410,Ross Island North,16.067994986864583,88.35416745496542 -2412,Ross Island North,16.401182785655532,87.24813564008421 -2428,Ross Island North,15.209526027983344,87.48773771849933 -2498,Ross Island North,15.830375223681763,87.59362538314343 -2532,Ross Island North,15.806036626577164,88.99790838670894 -2553,Ross Island North,15.197431764917864,89.20325333082657 -2559,Ross Island North,16.541679651053048,87.97744758908263 -2561,Ross Island North,16.51513375847017,85.57952062060231 -2569,Ross Island North,16.280050421572813,87.38721567812435 -2624,Ross Island North,16.47418975552875,86.52055902662379 -2655,Ross Island North,15.533048583398605,86.55399000144045 -2664,Ross Island North,16.6250769025292,88.41679034463108 -2675,Ross Island North,16.725782260334796,89.12937836050428 -2702,Ross Island North,16.162364701817538,87.0529512859292 -2703,Ross Island North,15.299923497686535,87.52266783700874 -2730,Ross Island North,16.67057128075102,88.89121213169756 -2740,Ross Island North,16.93316604280617,87.45659311473229 -2750,Ross Island North,15.881006108680792,87.40409262366775 -2756,Ross Island North,16.348014826865093,90.06421274952795 -2773,Ross Island North,17.147771383739503,87.02580497153124 -2788,Ross Island North,15.281852390518637,88.71395924945377 -2830,Ross Island North,15.644629331125884,88.8378597276883 -2847,Ross Island North,15.895304149350167,87.69631359599394 -2859,Ross Island North,16.667250307107658,87.76708359278035 -2888,Ross Island North,15.435062530608247,88.30593958441935 -2891,Ross Island North,16.307535822720716,87.48910666384009 -2902,Ross Island North,15.867331915726192,86.9452715629146 -2941,Ross Island North,16.95986225652999,88.43716786587818 -2952,Ross Island North,16.032143629991285,87.32132210941457 -2995,Ross Island North,15.889568923012021,88.50395477661715 -3001,Ross Island North,15.753461388593301,89.03381188553152 -3031,Ross Island North,16.43423904152708,88.91691702504696 -3042,Ross Island North,16.371420390381356,88.46664104081148 -3046,Ross Island North,15.63515652004614,88.02322817723636 -3055,Ross Island North,14.98765800047861,88.30207711630048 -3059,Ross Island North,15.230465251270612,88.86625964163741 -3063,Ross Island North,16.13453762363845,87.37054124058949 -3066,Ross Island North,15.593374426449738,88.53125637058157 -3071,Ross Island North,15.213656701372896,88.20211754733732 -3088,Ross Island North,15.97638260831423,88.12000684963274 -3155,Ross Island North,15.820776148901501,88.66215116603372 -3157,Ross Island North,16.105904622703687,88.18269749973726 -3183,Ross Island North,15.966282555742639,88.04891343554254 -29,Ross Island Tip,5.687023483228593,31.545356226655258 -58,Ross Island Tip,5.862984122675296,31.333795874630624 -69,Ross Island Tip,5.70290463031166,31.045675124100402 -79,Ross Island Tip,5.277384726520552,32.2237931422526 -88,Ross Island Tip,6.510269179385348,31.16997672432614 -107,Ross Island Tip,5.529221853327604,30.21075459059585 -138,Ross Island Tip,6.155502116330799,29.903621567963967 -150,Ross Island Tip,4.945736679430279,30.631539921985926 -158,Ross Island Tip,5.90152166823657,30.585109380887328 -240,Ross Island Tip,5.741694797241192,31.8679402072589 -265,Ross Island Tip,6.444992382765476,30.850993689788584 -297,Ross Island Tip,6.70560125494405,30.702252984277187 -298,Ross Island Tip,5.3850130170573305,31.978802259395263 -321,Ross Island Tip,7.032945678932143,30.202966191695776 -336,Ross Island Tip,5.064165563099313,30.953241112470867 -339,Ross Island Tip,6.748986423308038,31.28356807451617 -386,Ross Island Tip,6.313052805023739,29.891217441238595 -407,Ross Island Tip,7.5115155925247565,30.010792755688804 -408,Ross Island Tip,5.974200746882363,30.621018080176167 -414,Ross Island Tip,5.828956428417395,31.102756259540175 -427,Ross Island Tip,5.971934774222709,31.927527582179223 -464,Ross Island Tip,5.989822818061939,32.09382565359598 -477,Ross Island Tip,4.9503186371631696,31.005713975572636 -527,Ross Island Tip,5.78822613735364,30.98685547161319 -592,Ross Island Tip,6.077102716448001,31.450850721199004 -601,Ross Island Tip,5.430067663968735,29.957235987887135 -602,Ross Island Tip,6.030229350897135,29.91706637892879 -619,Ross Island Tip,5.243160942606162,30.753640103246294 -640,Ross Island Tip,6.181662856642345,31.797200879761384 -644,Ross Island Tip,6.283973577828448,30.937536868515995 -671,Ross Island Tip,5.508137372471509,31.94785677161544 -682,Ross Island Tip,5.57009540946377,30.12762249706705 -781,Ross Island Tip,5.9346632951698455,31.174276619024834 -808,Ross Island Tip,5.794239106306178,31.169588303048016 -816,Ross Island Tip,7.411402627495068,30.51433439662601 -826,Ross Island Tip,5.132853806414911,31.33268217477135 -833,Ross Island Tip,5.944387196818315,31.349515775184855 -835,Ross Island Tip,6.116354098497008,29.04941735378043 -844,Ross Island Tip,5.805395768968747,30.780239935651498 -847,Ross Island Tip,6.787387135334603,30.833944311920366 -857,Ross Island Tip,6.347865334476751,30.51983308207722 -872,Ross Island Tip,6.296944880770277,30.53623119268643 -899,Ross Island Tip,5.595895946868438,32.08180579867804 -927,Ross Island Tip,5.575645235319582,31.601798556901027 -961,Ross Island Tip,5.289650834369891,31.975342521375577 -977,Ross Island Tip,5.386845797071023,30.55899860267985 -989,Ross Island Tip,6.000648353727075,32.099198183369296 -999,Ross Island Tip,4.645519691323925,31.6160716726202 -1011,Ross Island Tip,6.416746322571437,30.928584955532582 -1047,Ross Island Tip,6.107971303477661,30.559973727414842 -1064,Ross Island Tip,6.142248122970909,30.48736779126076 -1081,Ross Island Tip,6.650712754237426,31.413922332181077 -1085,Ross Island Tip,6.33986560670537,30.322398561346002 -1102,Ross Island Tip,5.7494341498214805,30.792567369124438 -1130,Ross Island Tip,6.4758490538564955,31.90574444165073 -1140,Ross Island Tip,6.166475219933929,31.248271457777438 -1149,Ross Island Tip,6.112138387198821,32.058617455942645 -1157,Ross Island Tip,6.01551292926314,31.871234035734883 -1161,Ross Island Tip,7.128159129464961,30.974424868175266 -1188,Ross Island Tip,5.656390257797517,29.70735882514016 -1193,Ross Island Tip,5.5651326048154806,28.7986239950995 -1229,Ross Island Tip,6.122045580249645,30.495464647054906 -1245,Ross Island Tip,6.180277699875656,30.28208937026288 -1248,Ross Island Tip,5.95909340591284,32.80918305919305 -1250,Ross Island Tip,6.890984758439742,32.070808993735746 -1251,Ross Island Tip,6.233870334958353,30.87017683440342 -1275,Ross Island Tip,6.02583634902344,30.350647349977677 -1280,Ross Island Tip,6.158188670863139,33.91536134338779 -1361,Ross Island Tip,6.485395518372443,31.606817338936008 -1363,Ross Island Tip,5.765978601627858,30.30184015649623 -1369,Ross Island Tip,5.561524597645996,33.52325534567089 -1378,Ross Island Tip,5.863834736483791,30.89302814935823 -1388,Ross Island Tip,6.938576690918346,31.733980698228788 -1399,Ross Island Tip,5.230974010484769,32.79880747615145 -1406,Ross Island Tip,6.080765651712606,31.866970609919214 -1413,Ross Island Tip,5.7163827154739275,32.094308554504444 -1414,Ross Island Tip,5.771249716153131,30.304468015094034 -1429,Ross Island Tip,6.067216412922514,29.873200987393897 -1451,Ross Island Tip,6.215242436325771,32.52829829566834 -1464,Ross Island Tip,5.962873931926039,31.063284590847058 -1465,Ross Island Tip,6.193356589425161,30.435296546261796 -1490,Ross Island Tip,6.38568955678471,30.12359680735051 -1520,Ross Island Tip,6.02799815180241,30.33399832199599 -1522,Ross Island Tip,5.040140509336749,30.9643315404189 -1545,Ross Island Tip,5.846232973136377,30.48225959601466 -1580,Ross Island Tip,7.623465077509072,30.500707446046015 -1589,Ross Island Tip,6.795260048794892,30.415264758665675 -1598,Ross Island Tip,5.592874289049479,29.92556248345371 -1600,Ross Island Tip,6.7444180200907065,30.346847152460395 -1606,Ross Island Tip,6.10903668294911,32.0309699550227 -1608,Ross Island Tip,5.947096340436098,31.269991419423004 -1631,Ross Island Tip,6.787541262642113,31.495160643416995 -1661,Ross Island Tip,5.177848089090705,30.21212538489693 -1699,Ross Island Tip,5.69872924217671,32.520244729624906 -1715,Ross Island Tip,6.274251803445432,30.49146861361335 -1725,Ross Island Tip,4.284070979508554,29.74289499008027 -1781,Ross Island Tip,6.7984692895044905,30.44593712622159 -1793,Ross Island Tip,5.943499247163199,29.221895644424027 -1794,Ross Island Tip,6.3490390379647375,31.966934503427087 -1802,Ross Island Tip,6.513874065824168,31.755680080815356 -1809,Ross Island Tip,5.692903253512549,31.059439642533924 -1810,Ross Island Tip,6.278939146077068,31.38702566300348 -1846,Ross Island Tip,5.724328840088687,31.464179161844925 -1878,Ross Island Tip,6.4401504115531845,31.542796205365562 -1880,Ross Island Tip,5.954669118255057,33.26125447773259 -1948,Ross Island Tip,6.317505509166656,30.73454675405069 -2024,Ross Island Tip,6.299609337244458,31.56172880952112 -2040,Ross Island Tip,6.264143765989229,31.057473169666867 -2072,Ross Island Tip,6.123186271269107,29.43809821392928 -2076,Ross Island Tip,5.728209195900801,30.954566810333134 -2080,Ross Island Tip,6.991449796454237,32.31780725905335 -2107,Ross Island Tip,6.366518264105241,32.693860993238815 -2115,Ross Island Tip,6.178737717355051,31.663620902552758 -2121,Ross Island Tip,5.791540097335729,32.41755714655812 -2135,Ross Island Tip,6.466975025138368,30.221024869643166 -2152,Ross Island Tip,5.805004494279341,31.119443520852766 -2158,Ross Island Tip,6.068130608071248,32.446588934887004 -2196,Ross Island Tip,5.669436805987276,30.709239357246773 -2216,Ross Island Tip,6.761755157739579,31.059419088115753 -2217,Ross Island Tip,5.836935667672955,30.736914964985196 -2256,Ross Island Tip,5.360561203433365,31.96304496440004 -2258,Ross Island Tip,5.661434998064829,30.008786302583214 -2262,Ross Island Tip,5.653630672146226,31.663701875853654 -2268,Ross Island Tip,6.03547621447056,31.262558601518418 -2298,Ross Island Tip,6.382369438008954,29.564768751531382 -2318,Ross Island Tip,5.3453234860720045,30.794070830310375 -2378,Ross Island Tip,5.677707430181069,31.44162225195977 -2382,Ross Island Tip,6.054172103574948,31.708086391953934 -2425,Ross Island Tip,5.848944630972332,32.30466850638325 -2448,Ross Island Tip,6.042802743277122,30.773509037507523 -2500,Ross Island Tip,6.618442567837143,30.96196677001697 -2586,Ross Island Tip,6.435058086368983,29.15083536696831 -2600,Ross Island Tip,5.938157689219602,33.53027426809251 -2618,Ross Island Tip,5.453662248533869,30.272609227766683 -2628,Ross Island Tip,6.3310931016042655,31.962743282908757 -2645,Ross Island Tip,5.754201064579533,29.746463270392475 -2649,Ross Island Tip,6.1677031862927105,31.61978819324409 -2704,Ross Island Tip,5.514782281602256,31.283827736882063 -2712,Ross Island Tip,6.595170704357665,29.38144598810981 -2717,Ross Island Tip,6.488269089288653,32.465606143462516 -2727,Ross Island Tip,6.622529370258358,30.223709873123855 -2729,Ross Island Tip,6.9328743675840485,30.684104547339768 -2737,Ross Island Tip,5.82822854659675,31.200652011106666 -2760,Ross Island Tip,5.518503324507047,30.22080459503583 -2765,Ross Island Tip,6.707768252339722,31.600423931562702 -2787,Ross Island Tip,5.918047623960851,31.452175892994312 -2806,Ross Island Tip,6.06712749250833,30.2657626992288 -2814,Ross Island Tip,5.247468089674345,30.450806788247426 -2817,Ross Island Tip,6.323384663016905,30.950821667694957 -2825,Ross Island Tip,6.551092583243527,29.578880551136933 -2844,Ross Island Tip,5.789330658994332,30.894616324986167 -2857,Ross Island Tip,6.576310907902778,29.9468721142839 -2860,Ross Island Tip,5.45341423139747,31.243693276398922 -2885,Ross Island Tip,6.1056539809911206,32.12767814324809 -2901,Ross Island Tip,5.950864840215756,31.91760252804918 -2931,Ross Island Tip,5.739616273967636,29.80246211638882 -2960,Ross Island Tip,6.285889762747387,32.74879529077045 -2970,Ross Island Tip,6.113531842527211,31.97638621111397 -2994,Ross Island Tip,6.429236095783208,31.50032287809616 -3007,Ross Island Tip,5.211526106858914,30.0711093985927 -3025,Ross Island Tip,5.761904816378633,32.24959090515478 -3043,Ross Island Tip,5.9356962838095795,33.22474186756739 -3102,Ross Island Tip,6.6778678478543405,30.091766835500444 -3103,Ross Island Tip,5.580625306805749,30.99710167433975 -3105,Ross Island Tip,5.832964598495324,30.280293503392013 -3161,Ross Island Tip,6.150253192216242,31.393382000146993 -3175,Ross Island Tip,6.24915958221552,31.80428731138749 -3181,Ross Island Tip,6.091947525365538,30.62192573146653 -3196,Ross Island Tip,6.175478858144309,30.528282985245163 -3198,Ross Island Tip,5.513178222130365,30.91435623837981 -8,Scott Base East,4.584840011430615,15.157936273314823 -10,Scott Base East,4.844213864084183,16.695830558324324 -33,Scott Base East,4.8587407933460405,18.57397583035022 -53,Scott Base East,4.389196194300241,15.717925034753819 -71,Scott Base East,5.0620759908380695,17.59617033646658 -98,Scott Base East,4.573005514416499,17.625014398332144 -112,Scott Base East,4.604375117728059,16.74549834602499 -142,Scott Base East,5.234395591983425,17.80138930116304 -152,Scott Base East,4.603229044119861,16.974424588684727 -176,Scott Base East,4.879046735571445,17.301168518534126 -228,Scott Base East,5.5714110284015526,17.555797425008816 -250,Scott Base East,4.548801478396151,16.354077237059936 -286,Scott Base East,5.2503180573319,15.573904104974538 -296,Scott Base East,5.44692292497945,16.582755543391773 -300,Scott Base East,4.970655106065244,17.067947182017885 -347,Scott Base East,4.627228540747093,17.614811651928385 -349,Scott Base East,5.2113753044195565,15.353953593765162 -357,Scott Base East,3.15088475470061,17.83755620252819 -363,Scott Base East,5.311546645306854,17.586228566367122 -428,Scott Base East,5.012825776386394,15.940239792914715 -473,Scott Base East,5.819556733643453,16.284685974925853 -479,Scott Base East,5.026216021039046,16.92962427787513 -506,Scott Base East,5.296349539354266,16.199996363548006 -509,Scott Base East,4.8889734889409135,18.85136579355006 -512,Scott Base East,4.75431323126687,17.325339502039196 -513,Scott Base East,4.763496736635584,18.69840047515986 -522,Scott Base East,4.3841840589510666,15.600509568849056 -578,Scott Base East,5.205590633712945,15.435324167252592 -606,Scott Base East,5.145666171973051,15.87755594385283 -632,Scott Base East,5.206255074131067,17.73907922826221 -636,Scott Base East,5.132763914415602,17.919490269714874 -654,Scott Base East,4.856808950900288,17.349554128927743 -700,Scott Base East,5.183649375881895,16.76933954733256 -707,Scott Base East,4.731994885412161,19.0133611169052 -723,Scott Base East,5.369987584686323,17.248251732782055 -793,Scott Base East,4.976586533444995,17.89716559787446 -809,Scott Base East,4.3852601721066895,18.68271256759322 -815,Scott Base East,5.154419772762566,16.426587295035734 -834,Scott Base East,5.030866930515474,14.703865703933339 -856,Scott Base East,4.881849068545917,16.528649076953805 -887,Scott Base East,4.7404338606417715,17.013816877346557 -890,Scott Base East,4.984774356649463,16.07720401443899 -905,Scott Base East,5.334946559165719,17.668519993782905 -916,Scott Base East,5.363254289438436,17.526850790665833 -932,Scott Base East,4.7779648757308495,15.250481661455431 -960,Scott Base East,5.259474669032596,17.323376182763727 -1030,Scott Base East,5.0543831438135545,17.913437850740934 -1046,Scott Base East,6.014420484836128,17.000712624287754 -1050,Scott Base East,5.318324341437559,17.877913338275253 -1082,Scott Base East,4.874104643751194,16.84018795979223 -1087,Scott Base East,4.8256661388160795,16.88049804936382 -1099,Scott Base East,4.238646478141822,17.08376147087407 -1127,Scott Base East,5.044859763415155,15.73720813591093 -1150,Scott Base East,4.761501356182941,17.884085535349048 -1155,Scott Base East,4.631761961518358,18.244749625885618 -1165,Scott Base East,5.384022843534424,17.095990969533972 -1173,Scott Base East,6.417658472637973,17.93198815273421 -1200,Scott Base East,5.742478136563733,15.148347174369334 -1207,Scott Base East,4.359408739121982,16.763453968066624 -1232,Scott Base East,5.0056204423771,16.291791566075098 -1270,Scott Base East,4.305729490905799,17.619152531535637 -1286,Scott Base East,4.891933970272781,17.303722294870482 -1289,Scott Base East,4.853690643503485,15.952837522861046 -1304,Scott Base East,4.368542526317185,17.772447887070765 -1313,Scott Base East,4.395170807396668,16.837830731972392 -1316,Scott Base East,4.856782048463987,17.62566765711364 -1339,Scott Base East,5.6667430297008385,15.86051514698798 -1340,Scott Base East,4.225572924710322,15.067314082942996 -1346,Scott Base East,4.749063973576621,16.86886078001853 -1348,Scott Base East,5.29556632851403,17.957633485637267 -1351,Scott Base East,4.265299737734576,17.590762111509683 -1360,Scott Base East,4.3565860229874325,16.845402848495564 -1395,Scott Base East,5.057973914399378,18.71310149478012 -1405,Scott Base East,5.488778329159574,16.477114705326862 -1407,Scott Base East,5.306935506871881,16.524845695820062 -1425,Scott Base East,5.380314916326703,16.84515699827352 -1458,Scott Base East,4.675995180657744,16.040896365692888 -1471,Scott Base East,4.579512613010022,16.632724330094764 -1493,Scott Base East,4.679155465973943,17.113834463886352 -1516,Scott Base East,5.788516336042431,15.819282152446835 -1530,Scott Base East,4.831570492751453,16.682624500650935 -1533,Scott Base East,5.014404061882761,16.262517696276916 -1544,Scott Base East,5.347109552498881,17.21675556217823 -1548,Scott Base East,4.445679996092258,15.270786062146179 -1569,Scott Base East,4.759155842678345,17.594488481279917 -1576,Scott Base East,3.8739486085933654,17.570048547754823 -1617,Scott Base East,4.185789287443102,14.911228230105975 -1618,Scott Base East,4.213918030785047,18.573702860795912 -1627,Scott Base East,4.9669858064153125,16.279310857144168 -1634,Scott Base East,5.658402343881422,17.80600870764794 -1641,Scott Base East,5.185677558303418,18.261878471038777 -1669,Scott Base East,4.084679529467223,17.702458609742397 -1694,Scott Base East,5.037179461256273,16.920640711483934 -1732,Scott Base East,4.276863062048111,16.29101872101161 -1743,Scott Base East,5.734340756958061,16.485105671287805 -1760,Scott Base East,4.403303289221428,16.817894277672437 -1764,Scott Base East,5.1199015787180775,16.183464989619473 -1768,Scott Base East,4.57975980054606,16.050342658624185 -1770,Scott Base East,5.001756001910124,16.165823999119244 -1782,Scott Base East,5.024725087271155,16.40074102305192 -1796,Scott Base East,4.251232256195131,17.625803882711182 -1797,Scott Base East,5.54960802618723,16.497738384151784 -1865,Scott Base East,5.594799232438012,18.46245736276129 -1869,Scott Base East,5.307336890690962,17.578684754251462 -1876,Scott Base East,4.524081165204306,17.36279214705821 -1888,Scott Base East,5.810624728581864,17.142806700500184 -1892,Scott Base East,5.496924956272865,14.720040804689813 -1913,Scott Base East,5.595796662511803,17.639672140657115 -1946,Scott Base East,4.693626328354525,17.33000733754599 -1962,Scott Base East,4.6260747820482635,17.808163445829283 -1964,Scott Base East,5.458353714361803,16.800580480649142 -1980,Scott Base East,4.802581764594244,16.881333780733815 -1998,Scott Base East,5.0268884682398145,15.674718032337251 -2015,Scott Base East,4.576251012982295,15.978302867387026 -2030,Scott Base East,4.442406500589061,17.077915436589887 -2063,Scott Base East,5.214537068801387,17.867837321471473 -2093,Scott Base East,5.131935190362245,14.61432419383818 -2117,Scott Base East,4.777808673605921,17.638424880136863 -2133,Scott Base East,5.172692674144096,17.60860021495649 -2167,Scott Base East,4.911350811870968,17.616493445208675 -2177,Scott Base East,5.617709994513757,17.002825994445505 -2182,Scott Base East,5.142602430478715,16.08531038936889 -2187,Scott Base East,5.553200256923846,16.468510619117914 -2202,Scott Base East,4.464872742960693,16.816010078319618 -2228,Scott Base East,4.708907619900323,15.934645379446199 -2272,Scott Base East,5.612617332408351,16.102255273229606 -2284,Scott Base East,3.771336078602208,17.943230434296062 -2294,Scott Base East,4.774026871866919,17.799075128623233 -2308,Scott Base East,4.183066771675519,16.871412436918416 -2315,Scott Base East,5.389338821718161,17.767136470000125 -2335,Scott Base East,5.2643874973186096,17.198170266175605 -2383,Scott Base East,5.094467658142091,16.163689366019447 -2398,Scott Base East,5.0970173748863195,17.47281419032745 -2404,Scott Base East,4.352813256521035,16.722577588979426 -2453,Scott Base East,3.497650873863103,17.747123487388954 -2510,Scott Base East,5.397952780063085,15.409067148629461 -2523,Scott Base East,3.7570947866387323,16.867924523098974 -2540,Scott Base East,4.826101352610412,14.517951697337162 -2546,Scott Base East,4.0935630714148985,16.938889203723907 -2566,Scott Base East,5.093995053222341,17.88837850537044 -2568,Scott Base East,5.656805489399316,17.401805695410037 -2584,Scott Base East,4.662895363157427,16.82093274573595 -2601,Scott Base East,5.961134537843951,15.680370793994294 -2610,Scott Base East,6.043276627614889,16.77387959211914 -2611,Scott Base East,5.019993711581363,15.252655138329304 -2644,Scott Base East,5.03569097579872,16.86854173263196 -2663,Scott Base East,5.47290612383394,15.638851206530184 -2690,Scott Base East,4.657390038408713,16.50660130320578 -2713,Scott Base East,4.14357922482974,16.159273376370084 -2723,Scott Base East,5.368158799959041,17.497168788338087 -2726,Scott Base East,5.4498509544009295,17.43686239221643 -2735,Scott Base East,5.378534819862109,17.800923561692535 -2738,Scott Base East,4.430535848021413,16.559659482493416 -2781,Scott Base East,4.97757745145872,17.19575118572167 -2818,Scott Base East,5.260596948166865,16.2462808897399 -2822,Scott Base East,4.483640449187673,16.646058322483665 -2862,Scott Base East,5.560831189951823,19.018608780293018 -2863,Scott Base East,5.110668605216563,17.813430245461127 -2876,Scott Base East,5.621592265912605,16.731605813176596 -2889,Scott Base East,5.3958816479117795,16.486687827692116 -2893,Scott Base East,5.594419050904574,16.704388411045205 -2898,Scott Base East,4.872028226218816,16.40060603084252 -2928,Scott Base East,4.6092519566194525,14.9166273960843 -2936,Scott Base East,5.357717441185772,16.17890044798716 -2961,Scott Base East,4.833326777771669,18.086970048687878 -2967,Scott Base East,5.036450460790312,17.227189989438852 -2987,Scott Base East,5.698417586029452,17.390968846158763 -3079,Scott Base East,4.599687565018689,17.473840297943788 -3087,Scott Base East,4.957700508075481,16.72943443241475 -3100,Scott Base East,4.865174400225649,16.391991729112057 -3113,Scott Base East,5.5309723200044765,16.109409981906534 -3115,Scott Base East,4.7810794712146425,16.683405722201446 -3136,Scott Base East,4.4208379627941765,18.05380532578784 -3140,Scott Base East,4.231614455325744,16.040297835870792 -40,Scott Base North,16.741903631689617,201.07849133166738 -41,Scott Base North,15.458755244123191,202.70030245013785 -56,Scott Base North,15.138105233330705,201.3819104417277 -57,Scott Base North,15.767974269957476,200.74775984087492 -89,Scott Base North,14.984581758127412,200.69763911268308 -111,Scott Base North,15.308762112904052,199.66891689449264 -117,Scott Base North,15.700947812886472,200.13974530400188 -133,Scott Base North,14.962147424324494,202.01156057633074 -151,Scott Base North,17.029550781379616,200.5452770212559 -161,Scott Base North,16.561521271016442,200.36489127663305 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North,15.048798232255264,200.90235841743637 -2020,Scott Base North,16.051121284935057,202.28452213993256 -2058,Scott Base North,16.212054363648846,200.54051813172023 -2084,Scott Base North,16.34754874044918,198.5236873547503 -2091,Scott Base North,15.588888981498014,202.3410443311608 -2142,Scott Base North,16.53455052430714,199.78950400306812 -2145,Scott Base North,16.438359467935594,201.14029252193484 -2150,Scott Base North,16.24395831108547,200.7664647156278 -2160,Scott Base North,16.0674184919261,202.1290399995527 -2170,Scott Base North,16.01994866083924,200.3135362626105 -2178,Scott Base North,15.78185836723494,201.89750107803442 -2183,Scott Base North,16.506052817862354,199.89211537337292 -2206,Scott Base North,16.44335986521059,201.52430782628966 -2207,Scott Base North,15.898314746331213,199.69634820685636 -2230,Scott Base North,16.106062229577816,201.3704297910989 -2306,Scott Base North,15.71491584771006,202.08437389373586 -2346,Scott Base North,15.943032226916896,200.63949721994697 -2364,Scott Base North,16.14543369708506,201.85989085269995 -2380,Scott Base North,16.46343547797454,200.3284798616253 -2390,Scott Base North,14.929040470410806,200.28887830459524 -2391,Scott Base North,15.971487256324663,200.482746295172 -2392,Scott Base North,15.227390936938086,201.55919704104682 -2399,Scott Base North,15.119107396647545,201.0779040330924 -2407,Scott Base North,15.834936565343375,201.37266264672363 -2503,Scott Base North,15.492720934597862,201.2651859480729 -2534,Scott Base North,15.631916041882432,201.89249996687883 -2539,Scott Base North,14.664564080302775,202.81201929749403 -2555,Scott Base North,16.779183271217992,200.70851030869392 -2605,Scott Base North,15.61455562149695,199.65749657009962 -2637,Scott Base North,15.814777423327895,200.94076655504585 -2643,Scott Base North,16.5249283993249,199.23084100028586 -2711,Scott Base North,17.186057499346475,200.37574102637888 -2715,Scott Base North,17.271813695935574,201.14581660083076 -2764,Scott Base North,15.665094758363955,200.89577216377512 -2769,Scott Base North,15.711740696264645,200.54059772475108 -2784,Scott Base North,16.79915583015521,200.89237942447423 -2833,Scott Base North,15.779247532557491,201.48077471469776 -2845,Scott Base North,15.703241221774602,200.8707125586564 -2848,Scott Base North,16.529125457710666,203.2777629726154 -2870,Scott Base North,15.629760569806422,200.84940662275656 -2917,Scott Base North,16.29146423531341,200.78174440005242 -2954,Scott Base North,15.519854261438365,201.23104575135878 -2965,Scott Base North,15.460631990682877,201.1105338701986 -2968,Scott Base North,16.177411393575163,201.42116024435282 -2978,Scott Base North,15.349853209065381,201.2016085686679 -2980,Scott Base North,16.33962077936152,200.85163089812343 -2992,Scott Base North,15.373204843471127,200.74645400983462 -3068,Scott Base North,16.448198401501525,200.45010809792487 -3080,Scott Base North,15.650437901231555,200.3775195406337 -3137,Scott Base North,15.93315429421071,201.20645685280806 -3163,Scott Base North,16.288450888901828,202.44122643717247 -3173,Scott Base North,16.295953218119386,201.36568075415062 -3179,Scott Base North,16.077347499926713,199.84800640433315 -3199,Scott Base North,15.897657507015891,199.57046177934077 -23,Scott Base South,14.6560667463907,37.66620857282225 -68,Scott Base South,14.788635720374455,37.06855650589792 -123,Scott Base South,15.509587832264165,38.60265510148908 -147,Scott Base South,15.15380380012668,34.97887712325686 -213,Scott Base South,14.383287681272982,38.079210239915 -232,Scott Base South,14.737396728468298,36.63418913699553 -263,Scott Base South,14.456924434938617,36.60744761230185 -264,Scott Base South,14.28527512338683,36.730069430640135 -301,Scott Base South,14.464277831778263,36.21718721152908 -310,Scott Base South,14.289747123047432,37.003884384936484 -322,Scott Base South,14.753778974962643,37.56680671513063 -333,Scott Base South,14.78426426352243,36.99901691477884 -344,Scott Base South,15.046526439912286,37.41133716779019 -377,Scott Base South,15.157433239153537,37.59942385551466 -382,Scott Base South,14.85630740418752,37.7748536608855 -398,Scott Base South,15.080757894223229,38.225432076444584 -403,Scott Base South,15.830761966628298,37.772547003410324 -412,Scott Base South,14.515734758170451,37.046247667354955 -431,Scott Base South,13.759733483460755,36.49800872086153 -444,Scott Base South,14.78133277956831,38.072195429738514 -483,Scott Base South,13.813025999562011,36.238928038910885 -494,Scott Base South,14.801633405832021,38.70175092989924 -495,Scott Base South,15.207241796531278,36.21912245798861 -505,Scott Base South,14.848716713879568,37.640820075705264 -507,Scott Base South,14.785419223041162,37.30969222116811 -515,Scott Base South,15.70867506048859,34.96150055487925 -516,Scott Base South,14.92662305016754,37.303069509518345 -536,Scott Base South,15.592809646277491,37.861388084112015 -559,Scott Base South,15.312413320593073,37.69552695702582 -587,Scott Base South,14.698766983722885,38.624542036258546 -616,Scott Base South,15.074244317959087,36.93341360504978 -675,Scott Base South,14.97098045903305,36.64621127032235 -750,Scott Base South,14.897898047270939,38.84174143118675 -756,Scott Base South,15.696411198179185,35.838790362417555 -814,Scott Base South,15.009492637458479,36.87340860188432 -846,Scott Base South,14.7790921503879,37.735527169037134 -854,Scott Base South,14.907910259320692,37.3824702932887 -865,Scott Base South,15.697737963796554,36.76969214224779 -888,Scott Base South,14.521353171444872,36.96515796934243 -931,Scott Base South,15.238121211307572,39.08116203183707 -963,Scott Base South,15.626928121700317,36.281748186060675 -964,Scott Base South,16.180941327499202,35.608795312379904 -967,Scott Base South,13.740425000612712,36.50889526902304 -986,Scott Base South,14.441455718050841,36.277755673880236 -1003,Scott Base South,14.977690072113031,37.94114716731904 -1004,Scott Base South,15.381770917746566,35.9839639618476 -1006,Scott Base South,14.320389347730327,38.73497938121157 -1008,Scott Base South,15.275200256596142,36.170041053795956 -1033,Scott Base South,15.695598894629333,37.5820958006591 -1039,Scott Base South,15.434397836653947,37.37409122167286 -1089,Scott Base South,15.78706077692407,38.04105454355085 -1108,Scott Base South,15.027325026686329,37.14293058029677 -1125,Scott Base South,15.438791370424424,36.81207047761578 -1129,Scott Base South,14.52920067252934,37.211627607627335 -1133,Scott Base South,15.10104888359916,37.714052080159696 -1226,Scott Base South,14.944440885207777,36.513240943734516 -1231,Scott Base South,14.778189257934708,37.339343380778075 -1259,Scott Base South,13.98491722796667,36.155216051823366 -1269,Scott Base South,15.054657399542437,37.02772152954351 -1306,Scott Base South,14.501982059106862,37.170748433603606 -1327,Scott Base South,15.165539050740898,37.24034787348685 -1371,Scott Base South,15.54757151221703,35.30780906219707 -1408,Scott Base South,14.920249543187788,39.668339028430445 -1434,Scott Base South,15.119384800237961,38.50764409004344 -1439,Scott Base South,13.97873890098754,37.81000284955917 -1470,Scott Base South,15.400147404182798,37.00849196765425 -1474,Scott Base South,15.6203746454394,36.50691091917816 -1476,Scott Base South,14.566057625632427,36.31959548821681 -1488,Scott Base South,15.74114609530417,36.376980273417566 -1497,Scott Base South,15.802496222632248,39.24851449568895 -1514,Scott Base South,15.05982319206381,39.20354959456933 -1534,Scott Base South,14.999552063764755,37.30694022344934 -1535,Scott Base South,14.878917869880866,36.19448191511476 -1564,Scott Base South,15.632007932330072,37.99278673747038 -1585,Scott Base South,15.544675395288525,36.435234933131994 -1590,Scott Base South,14.406292122261,36.15972159158665 -1628,Scott Base South,15.071746321232002,35.94093182464418 -1643,Scott Base South,14.893695492075752,36.96808040115757 -1652,Scott Base South,14.973712007773193,36.375907760234035 -1686,Scott Base South,15.493418299634145,38.1889304642894 -1693,Scott Base South,14.661210496314855,36.34252448474009 -1695,Scott Base South,14.933812056377807,37.395307610462034 -1726,Scott Base South,15.420171995034707,33.98245370402841 -1795,Scott Base South,15.653023281204142,36.87467880358739 -1923,Scott Base South,15.193432254768197,37.21616820760554 -1941,Scott Base South,15.506778148218102,36.39355764052585 -1954,Scott Base South,15.368355436696266,39.05513773947529 -1961,Scott Base South,15.507900857030657,36.5469516569515 -1989,Scott Base South,14.8479091781371,37.86715504215076 -1999,Scott Base South,15.166976083968098,37.04108096463147 -2011,Scott Base South,14.967643564159108,37.368104599741095 -2042,Scott Base South,15.168245879321551,37.032295001452894 -2056,Scott Base South,15.993712526770734,37.76407681799627 -2119,Scott Base South,14.866132078454509,36.965495483195454 -2130,Scott Base South,14.488182857132047,35.68766700775598 -2151,Scott Base South,14.715075721708223,35.676957530071185 -2163,Scott Base South,14.899415790266177,36.987466644835486 -2175,Scott Base South,15.229793139609683,35.87773415766736 -2197,Scott Base South,14.986818047641346,35.919238772938115 -2210,Scott Base South,15.187428520835521,38.43151546030949 -2233,Scott Base South,15.277857170757256,36.589466524363154 -2257,Scott Base South,15.113735973490758,37.27232230903521 -2280,Scott Base South,14.506246883301518,34.167370824184204 -2289,Scott Base South,15.378528834121207,37.06371459872939 -2353,Scott Base South,15.244986253484479,36.0910139675805 -2357,Scott Base South,14.135922354930022,39.266549564708995 -2367,Scott Base South,13.934270128234589,36.16583909064983 -2397,Scott Base South,15.064452441704491,38.08353519981398 -2417,Scott Base South,14.815027266562833,36.90556168175608 -2432,Scott Base South,14.265887749903523,36.4892904853527 -2463,Scott Base South,15.300300794594946,36.626499770447886 -2473,Scott Base South,15.029125670554668,35.42855781858428 -2479,Scott Base South,14.9580603875479,37.538870302486586 -2493,Scott Base South,15.798232295933186,38.755546790203056 -2545,Scott Base South,14.547262907607708,35.24591210854117 -2557,Scott Base South,14.78977550683222,36.531837921523696 -2578,Scott Base South,14.041984025548663,37.25461203270866 -2579,Scott Base South,15.011392114535383,36.31167027686317 -2593,Scott Base South,14.818402052942735,37.303714467761 -2636,Scott Base South,16.11899074983771,34.235642346797746 -2639,Scott Base South,15.51848378765027,36.92500954044923 -2641,Scott Base South,14.435366855025372,36.206188952278076 -2650,Scott Base South,14.59896668146863,36.0835824783208 -2653,Scott Base South,14.705631566441015,35.17255905602807 -2667,Scott Base South,13.876078064629107,35.26212853206901 -2670,Scott Base South,15.566193219015117,37.55583701942173 -2672,Scott Base South,15.104543598612238,36.96708390662461 -2680,Scott Base South,15.37395779398989,37.15473408052784 -2687,Scott Base South,15.814119380344277,38.131677305683745 -2724,Scott Base South,14.664596389807473,36.20056159613009 -2732,Scott Base South,14.598357550153501,36.19083111512017 -2770,Scott Base South,14.694630695498594,37.86321197897091 -2790,Scott Base South,14.373470656674193,35.786491139675675 -2797,Scott Base South,14.88808073506863,36.299528592878055 -2799,Scott Base South,14.33920885951583,37.205310444823354 -2803,Scott Base South,14.65507960620107,36.777591772196985 -2804,Scott Base South,15.322928624251842,38.693348096056155 -2805,Scott Base South,15.4562719207606,37.023562520862455 -2840,Scott Base South,14.102842518518287,38.70148980247451 -2858,Scott Base South,15.326050279756306,36.33424597361514 -2866,Scott Base South,14.8383149667363,37.146639115041616 -2874,Scott Base South,15.095289361082454,35.715111335744815 -2896,Scott Base South,14.004081755747936,37.0476444966803 -2908,Scott Base South,15.411633299031385,37.46299152029295 -2913,Scott Base South,15.481057449770928,36.08604046333119 -2921,Scott Base South,14.8873784749172,36.61605174720115 -2923,Scott Base South,13.886600871298393,37.04716368704307 -2933,Scott Base South,15.18626205825314,37.18128911804796 -2937,Scott Base South,15.242568544928053,37.50918636393949 -2955,Scott Base South,14.468281666255038,35.12691830158721 -2983,Scott Base South,15.017551053696303,37.85223806185674 -3012,Scott Base South,14.219846193010891,37.593985787929306 -3084,Scott Base South,15.078322125340346,37.81391707137407 -3093,Scott Base South,15.070301214934986,38.09508858892875 -3110,Scott Base South,15.450518923423038,35.22869554502731 -3131,Scott Base South,15.398060742544711,36.76394656210051 -3153,Scott Base South,15.413033165603322,39.34872053918756 -3164,Scott Base South,14.43074284766017,37.99614221689955 -30,Scott Base West,13.7364665651445,44.71879044792049 -50,Scott Base West,13.283213631866564,42.709411185514554 -77,Scott Base West,13.260918674833194,41.706551802818844 -91,Scott Base West,12.267196446227603,43.52656142946567 -124,Scott Base West,12.48184948222864,45.682548417193374 -141,Scott Base West,12.950717412413562,43.20846701237604 -155,Scott Base West,13.101144733434841,44.560176062611696 -164,Scott Base West,11.633467295569382,43.830951850182366 -172,Scott Base West,14.28583696422694,44.269503234975886 -181,Scott Base West,12.867372580378522,43.22320126611774 -188,Scott Base West,13.843464929716024,45.09724577552579 -220,Scott Base West,12.64707803175506,43.757099277937535 -242,Scott Base West,12.950775995715762,43.80413539305631 -246,Scott Base West,13.392449893097508,44.18474125725653 -266,Scott Base West,13.252969820380617,43.69199829657118 -271,Scott Base West,12.669968482289848,43.28596254642172 -272,Scott Base West,12.41033068380717,43.94554943509992 -285,Scott Base West,13.240684539014966,44.2927554141848 -287,Scott Base West,13.738565992669052,43.64345164109159 -288,Scott Base West,13.051053512791913,44.91712171462255 -299,Scott Base West,12.524849771072795,45.22234303013089 -318,Scott Base West,13.439375850389085,44.442533855933064 -331,Scott Base West,13.055333680576602,44.51613857357139 -353,Scott Base West,13.260501386858548,44.02313133392648 -362,Scott Base West,12.985586359841406,44.483450797737625 -401,Scott Base West,13.216619063266265,45.067618842853264 -405,Scott Base West,13.792540525833765,43.39706943323354 -410,Scott Base West,12.749801804614249,44.4830952384965 -419,Scott Base West,13.142419367669941,44.24855449213729 -426,Scott Base West,11.792153937115287,43.06179304842328 -437,Scott Base West,12.403916067794974,43.95492120160151 -478,Scott Base West,12.781135612882876,42.02239222240543 -498,Scott Base West,12.632356043910683,42.583363785648 -504,Scott Base West,13.74516099458421,43.49591563109641 -511,Scott Base West,13.129819692187256,43.65733483848667 -542,Scott Base West,12.151199767005384,43.84999899978444 -603,Scott Base West,13.382313939135383,44.78077745851268 -625,Scott Base West,13.019351314848755,44.11650736745162 -645,Scott Base West,12.994866753053056,42.66481785983993 -664,Scott Base West,13.701480991997927,44.04229644668192 -673,Scott Base West,12.777857914648033,44.69474303928138 -677,Scott Base West,12.54748118789734,44.36189416303677 -686,Scott Base West,12.803574716006798,43.10217277403358 -692,Scott Base West,12.574161759308653,45.46240330645593 -741,Scott Base West,13.034078745618451,43.951193023183265 -746,Scott Base West,11.698365788549033,44.95613978806182 -748,Scott Base West,12.377353809601502,43.50195578172628 -749,Scott Base West,12.373239856391871,43.50228046307642 -762,Scott Base West,12.944235685838029,45.355998207220615 -802,Scott Base West,12.75065195357257,44.44762256345839 -820,Scott Base West,13.362375399010041,44.926102770015234 -824,Scott Base West,13.329842459082855,42.98869785935023 -829,Scott Base West,13.39474525579057,42.82255900293669 -840,Scott Base West,13.008201128491304,45.245026478938684 -909,Scott Base West,13.095493411070784,44.06037893488251 -914,Scott Base West,13.088366669752524,44.68355828883082 -922,Scott Base West,12.816530721042636,43.940030382018186 -925,Scott Base West,12.77882293942944,44.36089891833131 -951,Scott Base West,13.344153873016905,44.16988368460229 -958,Scott Base West,12.978436233100146,44.63232177151391 -969,Scott Base West,13.061651832847572,44.86831420163726 -970,Scott Base West,13.550782596419122,44.828724892759936 -973,Scott Base West,13.669955876363321,43.53865385256688 -974,Scott Base West,12.66995318363785,43.29899046535079 -1013,Scott Base West,12.530982241929639,45.4761667661055 -1014,Scott Base West,13.475216180739624,42.961767823179706 -1068,Scott Base West,12.83815393859414,44.1515534711258 -1070,Scott Base West,13.027682291279763,46.64261087476018 -1084,Scott Base West,12.99203047333038,43.20535223527541 -1092,Scott Base West,12.696651770539502,44.11640216349049 -1106,Scott Base West,13.42518038232513,44.46973886154426 -1107,Scott Base West,13.20221065426194,45.05963641344885 -1151,Scott Base West,12.293475151153821,45.6778100293031 -1152,Scott Base West,13.673739103068863,44.049295723195755 -1177,Scott Base West,12.483875997188457,45.006920354916026 -1184,Scott Base West,13.383656881776608,45.13176987765738 -1234,Scott Base West,13.828392417213433,43.27141634756224 -1258,Scott Base West,12.673833692545715,45.36144748896476 -1292,Scott Base West,12.780993992411801,43.07612344685719 -1310,Scott Base West,13.51614243703916,43.24873557429875 -1326,Scott Base West,13.35165370086914,44.1775066768813 -1344,Scott Base West,12.428144096528323,44.16099758342426 -1355,Scott Base West,11.783153677241101,43.37113995322503 -1377,Scott Base West,13.16845903085679,44.49036341946718 -1383,Scott Base West,13.046292554245623,43.77578204796661 -1386,Scott Base West,13.37182343757044,44.19224803115411 -1392,Scott Base West,13.505571348076645,43.23438020025607 -1403,Scott Base West,12.55898503393881,44.92231500152515 -1418,Scott Base West,12.934871416283846,43.33728681319884 -1428,Scott Base West,14.155621987933502,43.368297248635585 -1449,Scott Base West,13.287343799558508,42.374701506167675 -1463,Scott Base West,13.131276773343291,44.3245793250841 -1481,Scott Base West,12.169861184447244,44.28458441663343 -1539,Scott Base West,14.618619514643205,44.157978020590626 -1565,Scott Base West,13.244468073497405,44.391551569632455 -1568,Scott Base West,12.472644618451968,44.77387833508176 -1571,Scott Base West,13.700415389744474,44.28463773927777 -1577,Scott Base West,13.210369845154126,42.52822555928373 -1592,Scott Base West,13.447937983768435,44.73617437980383 -1593,Scott Base West,12.880449517119672,44.881638086986364 -1595,Scott Base West,12.768906149044554,45.45358299480172 -1615,Scott Base West,13.547973994324389,42.91849592273641 -1630,Scott Base West,13.910679448093811,44.04241031644472 -1644,Scott Base West,12.941202865639628,44.91099228205619 -1645,Scott Base West,12.317610379803863,43.8452167626627 -1733,Scott Base West,12.869593085608367,44.355862969273396 -1739,Scott Base West,12.544663557003872,44.137774966695446 -1817,Scott Base West,12.96768243383384,44.65805717458599 -1824,Scott Base West,12.86554600864463,42.806632922213666 -1832,Scott Base West,12.412140662521546,43.63712466751231 -1856,Scott Base West,11.738582623412958,45.09724455167261 -1857,Scott Base West,12.901709374328682,44.7172092910644 -1863,Scott Base West,12.914741496239216,42.96047434189654 -1871,Scott Base West,12.940937714065889,44.61960623418808 -1879,Scott Base West,13.204920482706473,44.82192761588907 -1908,Scott Base West,13.319987791655533,43.88091584446497 -1916,Scott Base West,14.057968707802237,41.619589372657735 -1924,Scott Base West,13.387516450963666,44.483653488491285 -1985,Scott Base West,13.024373318778185,42.79488480437855 -1987,Scott Base West,13.479450534219206,44.326483379849826 -1990,Scott Base West,13.446561814995329,44.51160394342526 -1994,Scott Base West,12.908617133791541,44.45549764307764 -2049,Scott Base West,12.99366706151497,44.16941515895986 -2075,Scott Base West,13.17343065359006,42.31942091548875 -2085,Scott Base West,12.847992851049183,41.26406056987663 -2098,Scott Base West,13.97914789475483,42.50299607250503 -2101,Scott Base West,13.203172969025553,43.54274067864804 -2113,Scott Base West,12.964242793072362,45.26391588390474 -2114,Scott Base West,13.093817442219098,44.238841253670955 -2123,Scott Base West,12.82031227998311,43.6413750050294 -2127,Scott Base West,12.749237934894664,43.35306825530258 -2134,Scott Base West,13.53831428454495,44.65090971322029 -2137,Scott Base West,12.752466999135176,44.120731563550095 -2185,Scott Base West,12.806094321981663,43.605267917937404 -2235,Scott Base West,13.243806352110452,45.023977580368715 -2240,Scott Base West,11.82535013595894,43.07281759283881 -2274,Scott Base West,11.805921246711742,42.8442750007424 -2277,Scott Base West,13.041495766012064,44.08595867892451 -2312,Scott Base West,12.63976187902018,43.60740970486778 -2319,Scott Base West,13.673229167840297,43.632068019424075 -2355,Scott Base West,12.270037779962495,43.87669673187172 -2388,Scott Base West,13.059746360908067,45.55254399448574 -2426,Scott Base West,13.380484846830313,43.43909214057577 -2452,Scott Base West,13.667824804339899,43.097986175342385 -2542,Scott Base West,12.609096113627873,44.14909907335539 -2558,Scott Base West,12.953740987822625,45.05040038203324 -2573,Scott Base West,13.05725760698461,44.73406636040006 -2592,Scott Base West,12.028432550682789,44.42823172787942 -2594,Scott Base West,13.458940843865719,42.245713211869244 -2609,Scott Base West,13.002126203852834,43.81688108237085 -2619,Scott Base West,13.481048507514101,44.30643945566801 -2627,Scott Base West,13.080391372568101,43.50690124482597 -2635,Scott Base West,12.814681880199702,44.52468497611398 -2684,Scott Base West,12.1106385355447,46.10985277550284 -2736,Scott Base West,12.459781211403877,44.474561016698836 -2741,Scott Base West,12.724085163886738,43.44316556642334 -2749,Scott Base West,12.784150189319014,44.46103626419557 -2757,Scott Base West,13.726700561243995,45.1845373210603 -2761,Scott Base West,13.07202448396773,44.11430407379324 -2826,Scott Base West,13.268130780388582,42.756319097586726 -2842,Scott Base West,13.069173414728388,45.726172959068485 -2861,Scott Base West,12.564147793668702,45.552646426452114 -2869,Scott Base West,13.877312967217215,42.90764124822521 -2872,Scott Base West,12.986152560121967,43.676667174568486 -2895,Scott Base West,13.695886268000603,42.66406575538514 -2926,Scott Base West,13.317080394650308,44.300856935087765 -2944,Scott Base West,12.18547554158968,45.6268608577069 -2947,Scott Base West,12.757849671150947,44.20623100368153 -2972,Scott Base West,12.391986481049194,43.17673778193506 -2974,Scott Base West,12.498111041954113,43.326184737033884 -2975,Scott Base West,13.41763498404964,43.243928669693716 -2996,Scott Base West,13.242634451863355,44.0621410995294 -3039,Scott Base West,13.143534384409358,45.584480406719834 -3058,Scott Base West,13.758025537602707,42.92761522033176 -3074,Scott Base West,13.11605787916669,44.77129522234204 -3092,Scott Base West,11.914130207055315,42.68515439251283 -3104,Scott Base West,12.723948584597762,41.80387308060378 -3123,Scott Base West,12.645412555565038,41.754130470802956 -3128,Scott Base West,12.478823333118719,45.30456241315344 -3177,Scott Base West,13.301790437663596,41.13180902836252 -86,Taylor Valley Entrance,10.407334328380877,22.67986428528407 -102,Taylor Valley Entrance,12.58214132561529,22.027965764055676 -105,Taylor Valley Entrance,10.455716607093514,21.68200692622881 -194,Taylor Valley Entrance,11.099961744240169,24.05009608663734 -198,Taylor Valley Entrance,10.885902854383245,24.61555815716748 -217,Taylor Valley Entrance,10.52862230376021,23.00744955166532 -226,Taylor Valley Entrance,10.95310057555829,22.663132060426094 -267,Taylor Valley Entrance,11.532379541177939,23.2086037230845 -277,Taylor Valley Entrance,11.414421254803194,21.169475329323717 -305,Taylor Valley Entrance,10.789297886608306,21.376114238458715 -307,Taylor Valley Entrance,11.420092459597353,23.749364565041834 -348,Taylor Valley Entrance,10.58864524081948,22.47833651581896 -350,Taylor Valley Entrance,11.506161579308054,23.297232266691353 -354,Taylor Valley Entrance,10.588857457908174,23.712685257937842 -366,Taylor Valley Entrance,10.793807918886417,22.887543117853426 -397,Taylor Valley Entrance,11.223992267877108,22.47888752844823 -404,Taylor Valley Entrance,11.116004603057391,21.80578039682931 -420,Taylor Valley Entrance,10.956569138423827,24.24481487686778 -453,Taylor Valley Entrance,11.16798537415482,24.503046920773937 -461,Taylor Valley Entrance,10.60183887149708,23.725564249411875 -538,Taylor Valley Entrance,10.983883061067168,23.398391824896297 -549,Taylor Valley Entrance,10.173660029028639,23.655100306251427 -550,Taylor Valley Entrance,11.251952387256067,22.49942500630017 -551,Taylor Valley Entrance,11.091597518012165,21.759642470625874 -552,Taylor Valley Entrance,10.660750455508277,24.546099300937644 -560,Taylor Valley Entrance,9.790667334186196,23.45210482332601 -582,Taylor Valley Entrance,11.461423750239526,22.883463886007863 -594,Taylor Valley Entrance,10.627588669391328,22.51924096589351 -615,Taylor Valley Entrance,10.777909335901652,23.884033012319264 -620,Taylor Valley Entrance,9.971964843062125,22.41943952292022 -643,Taylor Valley Entrance,11.378682498042954,22.859567557653882 -649,Taylor Valley Entrance,10.52835040186276,24.60307194246867 -789,Taylor Valley Entrance,10.716843611733003,22.388287251207778 -860,Taylor Valley Entrance,10.09611445986797,24.7091985456034 -867,Taylor Valley Entrance,10.605702922008458,23.73603089059071 -871,Taylor Valley Entrance,11.010218778048593,21.419041122508393 -880,Taylor Valley Entrance,11.458432280968559,23.21540230780864 -881,Taylor Valley Entrance,11.063306829179576,23.210158506063966 -903,Taylor Valley Entrance,11.762803073258617,21.543944160413453 -941,Taylor Valley Entrance,11.714827441794197,24.361018767760395 -1001,Taylor Valley Entrance,10.736054650388281,23.618372246487507 -1025,Taylor Valley Entrance,11.446871044638991,22.136606707912563 -1043,Taylor Valley Entrance,11.113098853624004,24.225785063502634 -1048,Taylor Valley Entrance,11.35188306536981,21.027435760083556 -1052,Taylor Valley Entrance,11.094706006955636,22.00368397802185 -1053,Taylor Valley Entrance,10.745378565304328,22.294516715849063 -1093,Taylor Valley Entrance,11.492235139346556,21.697661054665684 -1115,Taylor Valley Entrance,11.401411230589138,21.93629455637142 -1124,Taylor Valley Entrance,10.801716879658938,23.782729936355548 -1208,Taylor Valley Entrance,11.267234124485874,22.725585653190677 -1227,Taylor Valley Entrance,10.900727556606064,22.526083457057652 -1281,Taylor Valley Entrance,11.42356404140196,24.42081072589239 -1288,Taylor Valley Entrance,10.022035409314759,24.116669986336564 -1317,Taylor Valley Entrance,10.212651818091299,21.802372104154138 -1347,Taylor Valley Entrance,11.406085578629263,19.957060792374964 -1376,Taylor Valley Entrance,10.531463857348248,23.098622854966475 -1379,Taylor Valley Entrance,11.292518329780865,22.809273802765418 -1398,Taylor Valley Entrance,10.421196835749255,22.728644264427817 -1432,Taylor Valley Entrance,11.16003738952992,23.294298530771204 -1454,Taylor Valley Entrance,10.716721497832157,21.70999074501946 -1455,Taylor Valley Entrance,11.267302446414973,22.809663862622156 -1457,Taylor Valley Entrance,11.105668871965483,22.565514089473947 -1496,Taylor Valley Entrance,11.729693136239478,23.041064040561317 -1567,Taylor Valley Entrance,10.840917564278678,23.730490815563364 -1597,Taylor Valley Entrance,10.410253537499807,23.075162748080913 -1599,Taylor Valley Entrance,10.762317335311213,22.901365897851072 -1610,Taylor Valley Entrance,10.507341252924158,22.651416394146736 -1614,Taylor Valley Entrance,11.482391978262676,23.914636850944596 -1635,Taylor Valley Entrance,11.290815466520424,24.594400598237968 -1636,Taylor Valley Entrance,11.253021422281645,23.366944269336035 -1647,Taylor Valley Entrance,11.225473842954388,24.460399206461936 -1654,Taylor Valley Entrance,10.605720375899663,21.8451040539178 -1663,Taylor Valley Entrance,11.084527403099747,22.818713437078607 -1684,Taylor Valley Entrance,11.402052133124474,23.178825056568197 -1685,Taylor Valley Entrance,10.891666935050043,22.005286245500397 -1713,Taylor Valley Entrance,11.387605062220418,23.515460210567877 -1727,Taylor Valley Entrance,11.312707218824887,23.82110239030541 -1728,Taylor Valley Entrance,11.096763875384468,22.400078391549695 -1749,Taylor Valley Entrance,10.564275948723317,23.486353540566345 -1751,Taylor Valley Entrance,11.615509059814956,22.509509949801863 -1772,Taylor Valley Entrance,10.02949249125255,24.310625576615777 -1773,Taylor Valley Entrance,10.02908409564983,22.181029218241463 -1776,Taylor Valley Entrance,10.617330310584396,24.153439984908093 -1786,Taylor Valley Entrance,10.52732277701903,24.00577225114592 -1815,Taylor Valley Entrance,11.099292683587132,23.152398439054735 -1816,Taylor Valley Entrance,11.117925249377107,23.383965870138624 -1819,Taylor Valley Entrance,10.650268151230147,23.24850131589957 -1843,Taylor Valley Entrance,10.856393006120358,21.2128285757799 -1858,Taylor Valley Entrance,11.518088832033714,23.14998797011927 -1891,Taylor Valley Entrance,10.53844852447794,23.39568934615993 -1895,Taylor Valley Entrance,10.889520671592397,23.96373659465832 -1958,Taylor Valley Entrance,10.845774870434989,23.053292036512605 -2021,Taylor Valley Entrance,10.850511264096436,21.826142905212535 -2029,Taylor Valley Entrance,10.882158545209885,23.835222639541655 -2052,Taylor Valley Entrance,11.308150414106969,22.09794689373735 -2089,Taylor Valley Entrance,11.749723654021096,22.767493399533688 -2109,Taylor Valley Entrance,11.730455705854132,23.59953688187276 -2126,Taylor Valley Entrance,10.375637737385254,23.626484236860748 -2176,Taylor Valley Entrance,11.744736504177649,23.378317294816416 -2224,Taylor Valley Entrance,10.230280669758413,23.249659909724304 -2231,Taylor Valley Entrance,11.483362693870692,23.367878405196343 -2244,Taylor Valley Entrance,10.718032499743563,23.811852337782888 -2260,Taylor Valley Entrance,10.33644514130624,23.424048613872937 -2291,Taylor Valley Entrance,12.016621764191616,23.508577320083397 -2310,Taylor Valley Entrance,10.870808869958497,23.025395450577843 -2322,Taylor Valley Entrance,11.001301347572461,23.08636782675645 -2340,Taylor Valley Entrance,10.726071354295811,23.16024254015373 -2362,Taylor Valley Entrance,10.658829836469303,23.881026484808626 -2368,Taylor Valley Entrance,11.569564421091895,25.18354851746568 -2370,Taylor Valley Entrance,11.18515577817244,23.022315679426686 -2372,Taylor Valley Entrance,11.631035983414037,22.93068019499876 -2379,Taylor Valley Entrance,11.834036605832999,23.980183140816212 -2389,Taylor Valley Entrance,11.050095310018849,23.34097182838834 -2393,Taylor Valley Entrance,11.42084806456381,22.328868192424693 -2413,Taylor Valley Entrance,10.50499774671556,22.09304142423929 -2456,Taylor Valley Entrance,10.809370379445795,21.979541003998854 -2462,Taylor Valley Entrance,11.557526014726047,23.85586009136229 -2497,Taylor Valley Entrance,11.776043083483113,22.37226460557784 -2531,Taylor Valley Entrance,11.147375990432671,22.271707175552468 -2535,Taylor Valley Entrance,10.908326863012787,23.627684733049254 -2536,Taylor Valley Entrance,10.886448172635227,23.927879534575606 -2604,Taylor Valley Entrance,11.040993736531497,24.05877729050963 -2632,Taylor Valley Entrance,11.394728500413141,21.309274699474944 -2668,Taylor Valley Entrance,11.605636575883107,22.790095743575506 -2697,Taylor Valley Entrance,10.355613436577235,23.17453562025174 -2698,Taylor Valley Entrance,11.834586777209395,22.069508540978568 -2700,Taylor Valley Entrance,11.093284795933949,22.073097963348157 -2746,Taylor Valley Entrance,10.187339326992188,21.846265292429464 -2747,Taylor Valley Entrance,11.04782943937755,23.9608878620338 -2812,Taylor Valley Entrance,10.799527178298888,23.253092753792306 -2836,Taylor Valley Entrance,10.532002308765433,22.57825973813826 -2855,Taylor Valley Entrance,11.375766160665126,21.659481367644485 -2878,Taylor Valley Entrance,11.688949191541337,21.937030509478483 -2915,Taylor Valley Entrance,10.97077225992609,24.766770512086136 -2979,Taylor Valley Entrance,10.967262933349549,24.05771909201463 -2986,Taylor Valley Entrance,11.637324036959217,23.423377621269882 -2988,Taylor Valley Entrance,10.635000499795416,22.72705301706199 -2993,Taylor Valley Entrance,11.211811656428212,20.456550277599227 -3009,Taylor Valley Entrance,10.19814808789492,23.438069646291112 -3010,Taylor Valley Entrance,11.10382627750129,23.455173029249053 -3017,Taylor Valley Entrance,11.786963875334457,23.241745581945803 -3022,Taylor Valley Entrance,11.39318868506598,24.968452779819195 -3034,Taylor Valley Entrance,11.322398621117674,22.866151765958815 -3036,Taylor Valley Entrance,10.944394068194118,22.6341328655431 -3057,Taylor Valley Entrance,11.062999379131146,22.62232141448038 -3076,Taylor Valley Entrance,11.041144639470753,23.557105108068914 -3082,Taylor Valley Entrance,11.029539187060982,21.08047631392093 -3130,Taylor Valley Entrance,11.193645657934715,24.392816685768217 -3144,Taylor Valley Entrance,11.12876017888331,23.222357693725392 -3156,Taylor Valley Entrance,10.335775887320377,21.870563663566934 -3165,Taylor Valley Entrance,11.08078813260451,22.689232560966193 -3186,Taylor Valley Entrance,11.018542722282836,24.65047752971268 -3190,Taylor Valley Entrance,10.773524526568684,20.508246199816 -2,Wright Valley Entrance,2.4458170247952538,16.583979767744346 -35,Wright Valley Entrance,4.034582880011359,17.15557187016693 -38,Wright Valley Entrance,2.853070518746389,17.722098197371 -67,Wright Valley Entrance,3.0525854445643548,17.19017557236904 -72,Wright Valley Entrance,2.954299005686901,17.34096014904055 -73,Wright Valley Entrance,3.8285684208442814,17.040423662141684 -94,Wright Valley Entrance,2.559810921388436,17.438889965118058 -115,Wright Valley Entrance,2.7515916666398477,19.137461439072588 -167,Wright Valley Entrance,2.2869374909353613,15.834038792720635 -177,Wright Valley Entrance,3.6969841216799018,18.177856490652808 -180,Wright Valley Entrance,2.79215830099011,19.39709132205655 -185,Wright Valley Entrance,1.549635513024601,16.905751179451848 -203,Wright Valley Entrance,3.389158600910283,17.27955287742602 -205,Wright Valley Entrance,2.6322365213593795,15.906831795495645 -230,Wright Valley Entrance,3.065949150458832,14.688827839706843 -243,Wright Valley Entrance,3.3083859699572873,18.14974153848441 -258,Wright Valley Entrance,2.967672615274811,17.357639754122676 -273,Wright Valley Entrance,1.9623580961244826,17.109269402665138 -306,Wright Valley Entrance,3.352662800715146,17.37312151608433 -314,Wright Valley Entrance,4.067641783973828,17.262370257288804 -335,Wright Valley Entrance,2.924714035856458,16.695067235285492 -356,Wright Valley Entrance,2.5437378326984685,17.159558719500303 -376,Wright Valley Entrance,2.898857754494348,17.707015551798637 -392,Wright Valley Entrance,1.611743500891377,16.991632972633244 -415,Wright Valley Entrance,3.5102465915354277,16.69214278021279 -424,Wright Valley Entrance,2.506975344456248,17.08627274289523 -441,Wright Valley Entrance,2.8382463494678736,16.179961554534312 -446,Wright Valley Entrance,3.3970878886837315,15.028554237312367 -458,Wright Valley Entrance,2.436612161935471,15.866764038198397 -463,Wright Valley Entrance,2.687593041793557,17.800057633314957 -471,Wright Valley Entrance,2.5439952299976474,16.604593279831096 -496,Wright Valley Entrance,2.93662661672268,17.1838968034555 -541,Wright Valley Entrance,2.3208153348417997,15.5135897134664 -573,Wright Valley 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Now, we need to make these bays accessible over land to transport the fish we've caught to our home base. - -**We want to build a road while minimizing our impact on the delicate antarctic ecosystem.** - -Our first order of business is to make sure that we avoid areas with that are well-suited for [Antarctica hair grass](https://oceanwide-expeditions.com/blog/the-plants-of-antarctic) (*Deschamsia antarctica*), one of only two flowering species of plants on the continent. - -![](assets/hairgrass_indiv.jpeg) - -We want to know what environmental conditions are associated with hair grass. This way, we can avoid areas where these conditions are met and not destroy precious habitat for the hair grass. - -It would take far too long to survey every bit of land between our base and our fishing spots, so we are going to build a **model** based on some samples of where hair grass is found to help us predict where else it might be. - -### What is a model? - -A model is a way for us to take complex systems and break them down into small, more understandable bits. We can use models to help us understand the relationship between different variables. We can then use those model to make predictions based on those relationships. - -## Data - -![](assets/hairgrass_landscape.jpeg) - -Knowing that we would soon be building roads, we asked our botanists to collect data for us on key components of the hairgrass' environment. Since it would take too long to sample everywhere hairgrass grows, they collected data from a sample of the hairgrass population. - -Our botanists collected data for the following variables: +```{r} +#| include: false +knitr::opts_chunk$set(echo = TRUE) +``` -- ***soil pH*****:** most plants prefer mildly acidic to neutral environments -- ***nitrogen (N) content*****:** as percentage per 100 mL soil sample; important for plant growth and tissue building -- ***phosphorous (P) content*****:** as percentage per 100 mL soil sample; important for plant growth and tissue building -- ***percent rock*****:** how rocky the location is; rocks in soil impact water drainage and temperature -- ***max windspeed (knots per hour)*****:** extreme wind can pose a challenge to plants of all types -- ***average summer temperature (C)*****:** temperature in the growing season -- ***penguin density*****:** the number of penguins per 5 m\^2 within 100 m of the sample quadrant for hair grass; penguin poop increases nitrogen content in the system -- ***hairgrass density*****:** number of individual clumps (tussocks) of hairgrass per 1 m\^2 +# Combining Datasets (Joins & Binds) -This data is based on this article: [Parnikoza, et al. 2007](https://doi.org/10.1016/j.polar.2007.10.002) +## Learning Outcomes -## Summarize and Visualize +- Students will be able to explain the difference between joins and binds. +- Students will be able to use joins to merge two datasets by a shared identifier. +- Students will be able to use `bind_rows()` to append rows from one dataset to another. +- Students will be able to export a combined dataset using `write_csv()`. -As we see above, there are many environmental conditions that may be associated with hair grass density. +## The Context -For this lesson, we are going to focus on two: *nitrogen (N) content* and *soil pH*. +After the series of incidents where a number of the collars made by Budget Collars LLC seem to be failing, our team decided to try and replace as many of them as possible. Besides, their battery life is far inferior. -### Set-Up +We're placing as many collars on as many seals as we can, and we are starting to run short on collars. -As usual, we start with loading our packages and our data. +One of our intrepid data science team members found an old box of collars and some data on all of the collars (it was a real challenge getting this data off of an old floppy drive, but we managed). -```{r message=FALSE, warning=FALSE} -# Load library -library(tidyverse) +## Our Tasks -# Load data -hairgrass <- read_csv("data/hairgrass_data.csv") -``` +We're going to spend the next lessons tackling two tasks: -Let's take a look at the data in the data set. What does each row represent? +**1) First, we'll work to join data sets together.** -```{r} -# View first few rows -head(hairgrass) +Our main goal is to create a single data set that includes the data we have previously looked at for collars, the data on the new collars, as well as the additional data on the old collars. -# View last few rows -tail(hairgrass) -``` +This is a little tricky, as the collar IDs need to be matched up with their counterparts across datasets, and new collars need to be added. Unfortunately, the new collars have IDs and some additional data, but we don't know the maker of the new collars. -### Nitrogen Content +**2) Second, we will try to identify the maker of mystery collars.** -Let's start by investigating any relationship between hair grass density and nitrogen content. +In order to do this, we will skim the surface of machine learning. We can use a common classification algorithm, K-Nearest Neighbors (KNN), to predict which maker made which of our unidentified collars. Don't worry, we won't go into *too* much detail, but having a general idea of how it works will be useful. -First, we should spend a little time thinking about our variables. Spend a few minutes in small groups discussing the answer to the questions below. +## Combining Data (Joins and Binds) -- Which columns are we interested in right now? **N_content, hairgrass_density** -- Which one is the independent variable and which is the dependent variable? - - independent: **N_content** - - dependent: **hairgrass_density_m2** -- Are the variables categorical or continuous? **Both are continuous** -- Which type of data visualization should we use? **Scatterplot** +Oftentimes, we have a lot of data for one project that are related but storing all of the data in one file would add unnecessary redundancy (e.g., data in certain rows would need to be repeated too often). Other times, data has been collected separately and needs to be combined before analysis. -Next, calculate the mean (`mean()`) and standard deviation (`sd()`) for the nitrogen content. +Being able to join together data from related tables is a key skill in data science, and for working with larger data structures (databases with their own languages, like SQL). -```{r} -# Mean and standard deviation of nitrogen content -hairgrass %>% - summarise(mean_N = mean(n_content), - sd_N = sd(n_content)) -``` +### The Data -Now that we have summarized the data, let's take a look at the data visually. +Let's load in the `tidyverse` and the data we're working with. ```{r} -# Scatterplot -ggplot(hairgrass, aes(n_content, hairgrass_density_m2)) + - geom_point() + - labs(x = "N Content", - y = "Hairgrass Density (per m^2)") + - theme_bw() +#| message: false +#| warning: false +library(tidyverse) +collars <- read_csv("data/collar_data.csv") +new_collars <- read_csv("data/new_collars.csv") +old_collars_new_data <- read_csv("data/old_collars_new_data.csv") ``` -Do you see a pattern? What type of relationship do you see? - -How do we analyze this type of relationship statistically? - -## Statistical Analysis - -We are going to use two (related) statistical methods to understand the relationship between two continuous (numeric) variables: - -- Correlation coefficient ($r$) and R-squared ($R^2$) -- Linear regression - -### Line of Best Fit +First, let's explore our data. We want to focus on 2 things here: -To understand correlation, R-squared, and linear regression, we first need to talk about something we call the *line of best fit*. - -The line of best fit aims to minimize the distance between each observation (points) and the line. The distances between each observation and any line are called *residuals* (the dotted gray lines). The line of best fit is the line that has the smallest *residuals*. - -![](assets/lines.png) ![](assets/residuals.jpg) - -We can add a line of best fit to a ggplot by using the `geom_smooth()` function. We need to specify that the method we want should produce a straight line ("linear model"). +(1) the columns: which ones match columns in other datasets +(2) collar identity: which datasets have matching collars or new collars ```{r} -# Scatterplot -ggplot(hairgrass, aes(n_content, hairgrass_density_m2)) + - geom_point() + - geom_smooth(method = "lm") + - labs(x = "N Content", - y = "Hairgrass Density (per m^2)") + - theme_bw() +head(collars) +head(new_collars) +head(old_collars_new_data) ``` -### Correlation Coefficient - -The correlation coefficient, `r`, is a measurement of the strength of the relationship between two continuous variables. - -The correlation coefficient is a number between -1 and 1 that looks at the relationship between two numeric variables. If the value is negative, there is a negative relationship between the two variable; if the value is positive, there is a positive relationship. - -If all the points fall exactly on the line of best fit, r = 1 or -1. If there is no relationship between the variables, `r` is 0 (or something very close to it). - -![](assets/coefficient_correlation.jpg) +### Diagramming -The greater the magnitude (size) of the correlation coefficient, the stronger the relationship between the two variables. +In small groups, talk through the process of combining these three datasets. Think about the following: -![](assets/correlation.jpg) +- which columns match and which ones don't? +- which rows match and which ones don't? +- does the order in which we combine datasets matter? -It is also important to recognize that the correlation coefficient has nothing to do with the slope of the line (we use linear regression to assess that!). +Draw out a diagram that represents how this process might go. -![](assets/steepness.jpeg) +::: instructor-only +**Instructor Note:** `collars` and `old_collars_new_data` share `collar_id` and `maker`, these get joined. -Based on the hairgrass plot we did above, do you expect the correlation coefficient to be positive or negative? For this class, we'll say that any `r` value with 0.1 of 0 means there is no relationship. +`new_collars` has different collars entirely, these get appended with `bind_rows()`. -To calculate the correlation coefficient, we need to go back to base R and indicate which columns we are referencing with the `$` operator. We use the `cor()` function. +The order matters: join first (to enrich the existing collar data), then bind (to add the new collars). If they bind first they will lose the ability to match on `collar_id`. +::: -```{r} -# Find the correlation coefficient -r <- cor(x = hairgrass$n_content, y = hairgrass$hairgrass_density_m2) +## Joins vs. Binds -# View result -r -``` +Now that we've decided on a process for how to combine our data, let's figure out which functions we are going to use to accomplish this task. -### R-squared ($R^2$) +We have 2 main methods of combining datasets, and they work in different ways. -The R-squared ($R^2$) value is a representation of how much variation is explained by the line of best fit. +### Joins -When we have a dependent variable and an independent variable, the R-squared value tells us how much of the variation in the *dependent* variable is explained by the *independent* variable. +Joins are arguably the more complicated of the two types of ways to combine data, but they are, therefore, the more flexible and useful. -Sometimes we don't have obvious dependent and independent variables, but we can still use similar language ($R^2$ tells us how much of the variation in the data is explained). +The magic of joins comes because they match up columns of data based on unique identifiers in each row of data. -To calculate R-squared, we square the correlation coefficient value we calculated above. It is always positive because we are squaring it `r` value; that means that R-squared values range from 0 to 1. The closer to 1, the more variation is explained. +In the following diagram, the two example data frames have the column `x1` in common, and each of the values in `x1` are unique (no repeats in the same data frame). When combining the datasets, all of the columns are added, and their rows are matched up to their respective values in the `x1` column. -```{r} -# What is r^2? -r^2 -``` +This can happen a couple ways, depending on which data frame is the reference and how much data you want to retain. -How would we interpret this `r^2` value? +![](assets/joins.png){width="50%"} -### Linear Regression Analysis +There are four main types of joins, and they differ in which rows they keep: -A regression analysis approximates the relationship between a dependent variable and one or more independent variables. It evaluates the strength of that relationship, ultimately giving us a p-value. +- `left_join()`: keeps all rows from the left (first) dataset and adds matching columns from the right dataset. (Rows in the right with no match are dropped, rows in the left with no match get `NA` for the right-side columns.) +- `right_join()`: keeps all rows from the right dataset. +- `inner_join()`: keeps only rows that have a match in both datasets. +- `full_join()`: keeps all rows from both datasets, filling `NA` where there is no match. -Since we are using linear regressions in this course, the regression model will take the form of a line: `y = mx + b` +For our task in Step 1, we are using `left_join()` because we want to keep all of our original collars (the left dataset) and add the new measurements from `old_collars_new_data` (the right dataset). Since every collar in `collars` has a matching entry in `old_collars_new_data`, a `full_join()` would actually give the same result here. -- `y` = dependent variable (y-axis) -- `x` = independent variable (x-axis) -- `m` = slope of the line is the slope -- `b` = y-intercept +### Binds -Using our variables, what would our linear regression model look like (we don't know `m` or `b` yet...)? +The other way we can combine data sets is through binds. Binds act similarly to gluing datasets together. -### Hypothesis Testing +They don't match up data based on unique identifiers; instead they match up data by column name (`bind_rows()`) or row position (`bind_cols()`) -What is the null hypothesis? What is the alternative hypothesis? +![](assets/binds.png){width="50%"} -**Null Hypothesis** ($H_{0}$): There is *no* relationship between hair grass density and nitrogen content. +How should we go about combining our three datasets? Come up with a plan that you think will work. -**Alternative Hypothesis** ($H_{A}$): There *is* a relationship between hair grass density and nitrogen content. +::: instructor-only +**Instructor Note:** The correct order is: (1) left_join collars with old_collars_new_data on collar_id and maker to add antenna_length and weight to existing collars, then (2) bind_rows to append new_collars. +::: -What do you think this means for the slopes? +## Task 1: Combine Our Data -### Regression Analysis +### Step 1 -Thankfully, R can calculate the slope (`m`) and y-intercept (`b`) of the line of best fit for us. - -Let's find the equation for our line of best fit, our test statistic, and our p-value. To do this, we use a function called `lm()`: this stands for "linear model." - -Like with ANOVA, we will then want to use the `summary()` function to get out the values we need. +Our first step is to merge the old collar data with the new data about those old collars. ```{r} -# Linear model of hairgrass density v. nitrogen content -nitrogen <- lm(hairgrass_density_m2 ~ n_content, hairgrass) +# use a left join +# full join would accomplish the same thing in this case because we don't have any missing rows +old_collars_combined <- collars %>% + left_join(old_collars_new_data, by = c("collar_id", "maker")) -# Summary of results -summary(nitrogen) ``` -As with our other statistical tests --- t-tests and ANOVAs --- the results give us some important values: - -- `b` (y-intercept): part of our line of best fit equation - - The "intercept estimate", in this case 1.385, is our y-intercept in our line of best fit -- `m` (slope): also part of our line of best fit equation - - This is the estimate for our independent variable (N_content in this case) - - In this model, m = 0.659 -- *F-statistic*: this is our test statistic -- *p-value*: calculated from our regression model, used to determine significance (0.05 cut-off, as usual) - - There are multiple p-values here. Focus either on the p-value for the independent variable (N_content) or the overall p-value displayed in the last line of the results summary (p \< 2.2e-16) -- *R-squared*: this is our R-squared value that we calculated earlier - - You can report either the "multiple" or the "adjusted" - - The "multiple" will typically match the one we calculate with code +If we take a look at our new data frame, we should hopefully see that the values for `antenna_length` and `weight` have been matched up with their respective collar ID. -This means our equation for the line of best fit is: y = 0.659x + 1.385 and there is a statistically significant relationship between nitrogen content and hairgrass density. +Could we have used another tactic to combine these two datasets? What would the pros and cons be? -## Soil pH +::: instructor-only +**Instructor Note:** A `full_join()` would produce the same result here since all collar IDs appear in both datasets. The key advantage of `left_join()` is that it explicitly matches on `collar_id` and `maker`. +::: -Let's do the same series of steps to determine how soil pH impacts hair grass densities. Work on this in your small groups, and we will go over it in about 10 minutes. +### Step 2 -Start with summarizing the data: mean and standard deviation. +Now we need to add the new collars to our dataset. What is our best method for combining? ```{r} -# Mean and standard deviation of soil pH -hairgrass %>% - summarize(mean_pH = mean(soil_pH), - sd_pH = sd(soil_pH)) +full <- bind_rows(old_collars_combined, new_collars) ``` -Visualize the data. Remember to add in the line of best fit using `ggplot2`. Also add labels and a theme for practice. +Let's take a look at our new data frame! Have we correctly accomplished our first task? ```{r} -# Scatterplot -ggplot(hairgrass, aes(soil_pH, hairgrass_density_m2)) + - geom_point() + - geom_smooth(method = "lm") + - labs(x = "Soil pH", - y = "Hairgrass Density per m^2") + - theme_bw() +head(full) +tail(full) ``` -Calculate the correlation coefficient (`r`)? What does this tell us? +### Saving our New Data -```{r} -# Correlation coefficient -r <- cor(x = hairgrass$soil_pH, y = hairgrass$hairgrass_density_m2) -``` - -How much variation does soil pH explain in the hair grass density data? - -```{r} -# What is r^2? -r^2 -``` - -Write out the model for our question about soil pH (without values)? +Now that we've accomplished our first task, we are going to want to use this combined dataset to accomplish our next task, which is using a classification algorithm to help us predict which maker made the mystery collars. -```{r} -# hairgrass density = m(soil_pH) + b -``` +To save our data as a .csv file that we can use in another analysis, we are going to use a function that exports the dataset (`write_csv()`) instead of importing it (`read_csv()`). -Run the regression model and write out the equation for the line of best fit. +The `write_csv()` function requires the name of the dataframe to export as the first argument and the name of the file we want to create as the second argument. ```{r} -# Linear model of hairgrass density v. soil pH -soil_pH <- lm(hairgrass_density_m2 ~ soil_pH, data = hairgrass) -summary(soil_pH) +write_csv(full, "data/all_collar_data.csv") ``` -Equation for line of best fit: y = 0.005x + 7.65 - -Interpret the results of the regression (our p-value cutoff is still = 0.05). What do we conclude about the relationship between soil pH and hair grass density? Why? - -Because p \> 0.05 for the regression model, we fail to reject the null hypothesis and conclude that there is no relationship between soil pH and hairgrass density. - -## Data-driven Decision Making - -The reason we are using regression analysis is to inform where we should (or should not) build our road so we don't harm the sensitive hair grass or take away their prime habitat. - -What do results above for nitrogen content and soil pH mean for the road we are building? +If we look over in our Files tab, you should see your new .csv file! \ No newline at end of file diff --git a/modules/module_4/module4_2.qmd b/modules/module_4/module4_2.qmd index 8606f62..242cbc1 100644 --- a/modules/module_4/module4_2.qmd +++ b/modules/module_4/module4_2.qmd @@ -1,206 +1,209 @@ --- -title: "4.2: Multiple Regression" +title: "4.2: K-Nearest Neighbor" +author: "Ellen Bledsoe" +format: + html: + toc: true --- -Sometimes (often!), we have multiple independent variables that we think might be influencing our dependent variable. In order to take into account more than one variable, we can perform what is called a "multiple regression." +```{r} +#| include: false +knitr::opts_chunk$set(echo = TRUE) +``` -Multiple regressions can become complicated beasts, but we are going to focus on adding in just one additional variable and how it can impact our interpretations. +# K-Nearest Neighbors -Let's use some penguins nesting site data to demonstrate. +## Learning Outcomes -## Set-Up +- Students will be able to explain the general concept of K-Nearest Neighbors classification. +- Students will be able to describe the purpose of training and testing data in machine learning. +- Students will be able to interpret the output of a KNN model including the confusion matrix and predictions. +- Students will be able to scale data and explain why scaling is necessary for distance-based algorithms. -As usual, we want to load our packages and our data before we begin. +## Machine Learning -```{r message=FALSE, warning=FALSE} -# Load library -library(tidyverse) +Now, we're going to work through an example of machine learning, which is used in a variety of ways in data science, across industries and disciplines. -# Load data -site_data <- read_csv("data/site_changes.csv") %>% - mutate(year = as.factor(year)) # don't worry about this line too much - -# We just want the year column treated as a category, not a number -``` +Machine learning is a subfield of artificial intelligence (AI). Machine learning uses a data-driven approach; a model is typically trained on data with known outcomes, then the model uses that previous knowledge to predict the outcomes of new data. -We want to understand what factors influence penguin nesting --- we wouldn't want to build our road through important penguin nesting territories! +Remember, we have 50 unlabeled collars, and we want to be able to predict who made them so we can increase the safety of our fishers. We need to throw out any collars that we think were made by Budget Collars LLC, and only incorporate new collars from our unlabeled batch that we think were made by Collarium Inc. -Let's quickly take a look at the data we have. - -```{r} -# View first few rows -head(site_data) - -# View last few rows -tail(site_data) -``` +Given the data we have from the collars we know were created by Budget Collars LLC and Collarium Inc., our goal is to train a model on collars with known makers to then apply to our unknown collars. -Okay, it looks like we have data for 100 different sites collected in two different years. We have the number of penguin nests, which is the variable that we are interested in. We also have a few other variables that might be influencing the number of nests at each site: the number of tussocks of grass, the stone size, the distance to water, and the year that data were collected. +## KNN in R -Let's start with looking at how the number of grass tussocks affects nest numbers. +K-nearest neighbors (KNN) is a classification algorithm (e.g., it attempts to predict labels or "classes"). It uses the classes of the nearest neighbors to a new data point (the number of neighbors = k) to predict the class of the new data point. -## Regression Model (1 Independent Variable) +![](assets/nearest_neighbor.png) -Let's start by plotting our tussocks data and run a model. +You don't need to know the inner-workings of the model or even the code below; all you need to know is the overall concept of how K-nearest neighbors works and what the results mean. -```{r} -# Scatterplot -ggplot(site_data, aes(x = tussocks, y = num_nests)) + - geom_point() + - geom_smooth(method = "lm") + - labs(x = "Tussocks", y = "Number of Nests") + - theme_classic() -``` +### How does KNN work? -This model is showing us a positive relationship between the number of tussocks and number of nests. Let's run our linear regression model. +Let's start by watching [a video](https://www.youtube.com/watch?v=MDniRwXizWo&ab_channel=AugmentedStartups) that does a nice job explaining the basics of KNN. -```{r} -# Linear model of number of nests v. number of tussocks -tussocks_model <- lm(num_nests ~ tussocks, data = site_data) +What are your takeaways? -# View results -summary(tussocks_model) -``` +### Visualizing -Our model is telling us that the relationship between the number of nests and number of tussocks is highly significant. +Creating plots that visualize KNN is pretty complicated, so we won't be doing that in this lesson. However, you can find a nice interactive data visualization [here](http://vision.stanford.edu/teaching/cs231n-demos/knn/). -## Running a Multiple Regression +Play around with the data visualization. Can you figure out what it is telling you? -What if we incorporate the year the data were collected into our model? Adding an additional independent variable to our model can change how we interpret the results. +## Classifying Collars -First, let's plot a multiple scatterplot. Do we see the same patterns? +Now that we have an idea of how KNN works, let's get started with our dataset. -```{r} -# Scatterplot + year -ggplot(site_data, aes(x = tussocks, y = num_nests, color = year)) + - geom_point() + - geom_smooth(method = "lm") + - labs(x = "Tussocks", y = "Number of Nests") + - theme_classic() -``` +Here's our overall trajectory: 1) Load our collars data 2) Split the data into collars where we know the maker and collars where we don't 3) Split the collars with known makers into 2 data frames: one for training our model and one for testing the model out on data where we already know the answers 4) Apply the best model to our collars with unknown makers to get predictions for which maker made the collar -Huh, that looks a little bit different...we no longer seem to have much of a positive relationship. Instead, both lines are looking pretty flat! Let's see what happens when we add year into our regression model. +First, we need our data! -By adding the year variable into the model, we are also asking if the number of nests changes by year. Does it change our significance? +### Data Cleaning and Prepping -The way we add an independent variable is with a `+` in the equation. +Load the tidyverse and read in "data/all_collar_data.csv", saving it as `full_collars`. ```{r} -# Linear model of number of nests v. number of tussocks and the year -tussocks_model <- lm(num_nests ~ tussocks + year, data = site_data) +#| message: false +#| warning: false +# Write your code here -# View results -summary(tussocks_model) ``` -We have a bunch of estimates now! Don't worry, I won't be asking you to put them into an equation :) We are only focusing on significance values. - -- `tussocks`: the p-value for the tussocks row (p = 0.7) shows whether the number of tussocks is a significant driver of nest numbers (it isn't!) -- `year2011`: this p-value is significant (p = 4.69e-05) --- year does seem to impact how many nests there are - - (you don't need to know this, but if you are curious...): the reason this says `year2011` and not just `year` is because year is acting as a category, and we can get different coefficient estimates for year. The first option in the categorical variable (1971, in this case) is incorporated into the current intercept estimate, so `year2011` indicates the difference from the original. +::: instructor-only +**Answer:** -### Interactions - -Sometimes, we might expect that there will be in interactive effect between the two independent variables we are including in our model. This means that the combinations of independent variables impact the dependent variable in different ways. +```{r} +#| message: false +#| warning: false +library(tidyverse) +full_collars <- read_csv("data/all_collar_data.csv") +``` +::: -We can typically spot interactive effects in a plot when the slopes of the regression lines differ from each other a lot. +Next, we need to scale our data. -Let's talk through the visual demonstration below to hopefully get a better understanding of how interaction effects work. These plots are showing different possible relationships between two independent variables: how many cups of coffee someone has had and whether they drank them in the morning or the afternoon (categorical variable), and how those might impact the dependent variable, how long it takes to complete a task. +What does this mean? It means we are transforming the data so that they are all in the same scale. Because KNN uses distances between points to determine neighbors, we need to have our data measured on the same scale. -- The top two panels show examples of no interactive effect. It looks like there is an effect of time of day; in each, drinking coffee in the morning makes tasks take longer. However, the *slopes* between time of day are the same. In the first panel (top left), there also looks to be an impact from the number of cups of coffee. -- The bottom four panels demonstrate possible variations of *interactive* effects. Not only does time of day and/or number of cups of coffee impact how long it takes to complete a task, but those independent variable affect how long it takes to complete a task *in different ways*. +Before scaling, battery life (\~100) and signal distance (\~4000) were working in very different ranges, with signal distance being much bigger. Once we scale them, they will both have means around 0 and similar standard deviations. -![](assets/coffee_interaction.jpg) +```{r} +# standardize the data and remove unnecessary data + +# start with the full data set +knn_data <- full_collars %>% + # mutate the battery and signal columns to be scaled + mutate(battery_scaled = scale(battery_life), + signal_scaled = scale(signal_distance)) %>% + # remove columns we aren't using anymore + dplyr::select(-battery_life, -signal_distance, -fail:-weight) %>% + # make the maker column a factor (categorical) + mutate(maker = as.factor(maker)) -In our example above, an interactive effect between tussocks and year would mean that we think the number of tussocks impacts the number of nests *in different ways* between the two categories (year). Since the slopes between the years don't look very different, we aren't really expecting there to be a significant interaction, but let's check anyway. +``` -Let's run a model that includes the interaction term in our model. To do this, we will use an asterisk (`*`) instead of a plus sign. +Let's summarize and plot the scaled data to see what it looks like. Let's focus on battery life. ```{r} -# Linear model with interaction -tussocks_model <- lm(data = site_data, num_nests ~ tussocks * year) +knn_data %>% + summarise(mean_bat = mean(battery_scaled), + sd_bat = sd(battery_scaled)) -# View results -summary(tussocks_model) +ggplot(knn_data, aes(battery_scaled, fill = maker)) + + geom_histogram() ``` -We can see that we still have estimates for both tussocks and year alone. However, we now also have something new: our interaction term, `tussocks:year2011`. +Right now, we have 3 collar categories because we haven't separated the unknown collars. Let's do that. -It turns out that adding in the year variable has changed the significance in our model, and the interaction term is also not significant. +### Known and Unknown Labels -- The positive relationship we originally observed is no longer present when we account for the year. -- There is no significant interaction, meaning that penguins respond to the number of tussocks the same way in each year. -- Interestingly (and maybe frustratingly), the significant effect of year that we saw before is also gone. - - This is a confusing bit of statistics, and I won't go into depth here about why this happens. Similar things sometimes happen when we have a significant overall ANOVA but no significant pairwise comparisons. - - What is happening behind the scenes has to do with how the information for each variable is being partitioned. Adding new variables (including an interaction) decreases the likelihood of any individual variable being significant. - - I will never ask you to explain this! Only to correctly interpret the significance values. +Before we continue, we need to make separate data frames to work with, one with collars with known makers and one with collars with unknown labels. -Let's explore another example to get a better understanding. +```{r} +# we also need to remove the collar_id labels +collars_to_label <- knn_data %>% + filter(is.na(maker)) -## Practicing with Stone Size +# we need to save the collar ids before removing them +unknown_collar_ids <- collars_to_label %>% dplyr::select(collar_id) +collars_to_label <- collars_to_label %>% dplyr::select(-maker, -collar_id) -Let's investigate how stone size influences nest numbers. Gentoo penguins build their nests out of stones (they actually court their penguin partner with stones, too)! +labeled_collars <- knn_data %>% + filter(!is.na(maker)) %>% + select(-collar_id) -![](assets/gentoo-penguin-cornell-lab2.jpg) +``` -Start by plotting the relationship between stone size and the number of nests. +### Training and Testing Data -```{r} -# Scatterplot -ggplot(site_data, aes(x = stone_size, y = num_nests)) + - geom_point() + - geom_smooth(method = "lm") -``` +First, we need to train and test our model. We will do that with the data with known collar makers. -What does the regression model? +Note: this is where the code starts getting a bit complicated. It's ok if you aren't entirely clear on what everything is doing. ```{r} -# Linear model of number of nests v. stone size -stone_size_mod = lm(num_nests ~ stone_size, data = site_data) +# randomly choose 30 out of the 100 collars to be our test data +# we will train the model with the other 70 collars, then test how well that model does using the 30 collars we held back +# because we know the actual makers of those 30 collars, we will know if our model made any mistakes + +# since randomly choosing, we will use set.seed() to make sure everyone is getting the same values +set.seed(411) + +# randomly select 30 row positions (70%) to pull out +rows_to_pull <- sample(1:100, 30) +rows_to_pull + +training <- labeled_collars[-rows_to_pull, ] # remove test data from labeled collars +testing <- labeled_collars[rows_to_pull, ] # pull out the 30 rows for testing -# View results -summary(stone_size_mod) ``` -How to we interpret this model? +### Training and Testing KNN + +Now that we have training and testing data, we can perform the first phase of KNN. -Next, let's add year in the mix. First, plot the relationship between the number of nests and stone size by year. +We want to know how many nearest neighbors we should use and how well our model works on the testing data. We will use the `caret` package to run these analyses. ```{r} -# Scatterplot + year -ggplot(site_data, aes(x = stone_size, y = num_nests, color = year)) + - geom_point() + - geom_smooth(method = "lm") +#| message: false +#| warning: false +#loading package to do knn +library(caret) + +# set seed again +# training the model and finding the best k value +set.seed(411) +knn_training_model <- train(maker ~ ., data = training, method = "knn") +knn_training_model # best k value is 5 ``` -This plot looks pretty different from the one with tussocks. First, let's see what happens when we add the year variable *without* the interactive term. To do that, we use a plus sign (`+`), not an asterisk (`*`). +Okay, we have determined that our best k value is 5. Now we can use our training model on the testing data to see if it makes any mistakes. We use the `predict` function from `caret` to do this. ```{r} -# Linear model of number of nests v. stone size and the year -stone_size_mod = lm(num_nests ~ stone_size + year, data = site_data) - -# View results -summary(stone_size_mod) +# making predictions with the test data +knn_predict_test <- predict(knn_training_model, testing) +confusionMatrix(knn_predict_test, testing$maker) # no mistakes! ``` -How do we interpret this multiple regression model? +Great, our model didn't make any mistakes! It is probably ready to apply to our collars of unknown origin. -From the ggplot above, we can see that the slopes for the two different years are quite different: one is pretty flat while the other is definitely positive. Different slopes often indicate that an *interaction* might be at work. Let's find out. Run another multiple regression model, this time adding in the interactive effect (`*`). +### Predicting the Unknown Collar Makers -```{r} -# Linear model with interaction -stone_size_mod = lm(num_nests ~ stone_size * year, data = site_data) +We will apply the same model but now to the new data. -# View results -summary(stone_size_mod) +```{r} +# making predictions for the collars without makers +knn_predict <- predict(knn_training_model, collars_to_label) +knn_predict +table(knn_predict) ``` -Wow, a bunch of significant variables! What does that mean, exactly? - -Not only are stone size and year significant, but so is the interaction between stone size and year. What does this mean? It means that penguins in different years seems to respond different to stone size. In 1971, the number of nests increases with stone size, but in 2011, the number of nests doesn't seem impacted by stone size. Therefore, there is an *interaction* between stone size and year. +We have predictions! Our last step is to recombine our data so that the collars now have their new labels. -### Resources +```{r} +# let's bind the columns together +new_labels <- bind_cols(unknown_collar_ids, knn_predict) +new_labels +``` -Still feeling a bit confused about multiple regression and interactions? I recommend checking out [this website](https://stattrek.com/multiple-regression/interaction?tutorial=reg). You can skip all the equation stuff at the beginning. Below that, though, I think they do a nice job of laying out what interactions are. +Typically, you would want to replace the columns in the entire dataframe, but we will end here for today :) -Also, if you are interested in how we select which model is the best model, [this article](https://www.statology.org/aic-in-r/) is a decent place to start. +Our goal of labeling our unlabeled collars is complete! We will deploy any that are now labeled as Collarium Inc. \ No newline at end of file diff --git a/modules/module_4/module4_3.qmd b/modules/module_4/module4_3.qmd index b71f58c..31f723f 100644 --- a/modules/module_4/module4_3.qmd +++ b/modules/module_4/module4_3.qmd @@ -1,229 +1,386 @@ --- -title: "4.3: Using Functions to Automate Tasks" +title: "4.3: Roads and Regressions" +author: "Mila Pruiett and Ellen Bledsoe" +format: + html: + toc: true --- -## Introduction +```{r} +#| include: false +knitr::opts_chunk$set(echo = TRUE) +``` -In this lesson, we'll learn how to write functions in R. Functions are essential for automating tasks and making your code more efficient and reusable. Let's get started! +# Roads and Regressions -### What is a function? +## Learning Outcomes -We've been using functions quite a lot in the course, but let's remind ourselves *exactly* what a function actually is. +- Students will be able to create a scatter plot with a line of best fit using `geom_smooth()`. +- Students will be able to calculate and interpret a correlation coefficient and R-squared value. +- Students will be able to run a linear regression using `lm()` and interpret the output including slope, intercept, and p-value. +- Students will be able to use regression results to inform a data-driven decision. -A function is a block of code designed to perform a specific task. A function is **executed** when it is **called.** This means that the block of code is run every time you use the function! +## The Scenario -A function takes specific **arguments** as input, processes them, and **returns** the output. +In this module, we have tried to figure out which bays we should prioritize for fishing based on the following data sets: -![](assets/r-function-syntax.png) +- radio collar data +- fish catch data +- leopard seal abundance data -We've used a lot of built-in functions already, like the `mean()` function. +Based on our results from Assignment 2, we made a decision about which two bays look like our best options. Now, we need to make these bays accessible over land to transport the fish we've caught to our home base. -Now, we are going to write our own, user-defined functions! +**Our Goal: build a road while minimizing our impact on the delicate antarctic ecosystem.** -## Writing Our First Function +Our first order of business is to make sure that we avoid areas with that are well-suited for [Antarctica hair grass](https://oceanwide-expeditions.com/blog/the-plants-of-antarctic) (*Deschamsia antarctica*), one of only two flowering species of plants on the continent. -Following the syntax from the image above, let's write a function called `add_numbers` that takes **two numbers as arguments and returns their sum.** +![](assets/hairgrass_indiv.jpeg){width="50%"} -```{r} -# An addition function -add_numbers <- function(x, y) { - z <- x + y - return(z) -} -``` +We want to know what environmental conditions are associated with hair grass. This way, we can avoid areas where these conditions are met and not destroy precious habitat for the hair grass. -Notice that we didn't put any actual numbers in the function! Instead, we used generic (undefined) arguments (e.g., `x` and `y`) to represent the values that we will eventually supply to the function when we execute it. +It would take far too long to survey every bit of land between our base and our fishing spots, so we are going to build a **model** based on some samples of where hair grass is found to help us predict where else it might be. -Using our undefined arguments, we set up a statement (or series of statements) for the function to perform: add `x` and `y` together and save that value as an object called `z`. +### What is a model? -We use the `return()` function to indicate that `z` is the value we want the `add_numbers` function to give back to us when it is executed. +A model is a way for us to take complex systems and break them down into small, more understandable bits. We can use models to help us understand the relationship between different variables. We can then use those models to make predictions based on those relationships. -Let's test our function with numbers, now! +## Data -```{r} -# Use our new function -add_numbers(5, 5) +![](assets/hairgrass_landscape.jpeg){width="50%"} -# Store our result -sum <- add_numbers(10, 10) +Knowing that we would soon be building roads, we asked our botanists to collect data for us on key components of the hairgrass' environment. Since it would take too long to sample everywhere hairgrass grows, they collected data from a sample of the hairgrass population. -# View our result -sum -``` +Our botanists collected data for the following variables: -#### Let's Practice +- *hairgrass density*: number of individual clumps (tussocks) of hairgrass (per 25 meters squared) +- *soil pH*: most plants prefer mildly acidic to neutral environments +- *nitrogen (N) content*: as parts per million (ppm); important for plant growth and tissue building +- *phosphorous (P) content*: as parts per million (ppm); important for plant growth and tissue building +- *percent rock*: how rocky the location is; rocks in soil impact water drainage and temperature +- *max windspeed (knots per hour)*: extreme wind can pose a challenge to plants of all types +- *average summer temperature (C)*: temperature in the growing season +- *penguin density*: the number of penguins per the sample quadrant penguin poop increases nitrogen and phosphorus content in the system but penguins may trample the plants -Now try to write a function called `multiply_numbers` that takes **three** numbers as arguments and returns the **product.** +This data is based on this article: [Parnikoza, et al. 2007](https://doi.org/10.1016/j.polar.2007.10.002) -Make sure to test your function, and remember a function should have a name, a list of arguments, and return something. +## Summarize and Visualize -```{r} -# Multiplication function -multiply_numbers <- function(x, y, z) { - a <- x * y * z - return(z) -} +As we see above, there are many environmental conditions that may be associated with hair grass density. -# Test function -multiply_numbers(1, 3, 3) -``` +For this lesson, we are going to focus on two: *nitrogen (N) content* and *soil pH*. + +### Set-Up -### Exercise 1: Simple Function +As usual, we start with loading tidyverse and our data. Read in "data/hairgrass_data.csv" and save it as an object called `hairgrass_data`. -**Objective:** Write a function called `inspect` that takes a data frame as an argument and prints the head and tail of the data frame. +```{r} +#| message: false +#| warning: false +# Write your code here + +``` -Setup: +::: instructor-only +**Answer:** -```{r message = FALSE} -# Load in tidyverse first! +```{r} library(tidyverse) +hairgrass_data <- read_csv("data/hairgrass_data.csv") ``` +::: + +Let's take a look at the data in the data set. What does each row represent? ```{r} -# Load the dataframe into your environment by reading the hairgrass_data.csv file -hairgrass <- read_csv('data/hairgrass_data.csv') +head(hairgrass_data) +tail(hairgrass_data) ``` -Before we attempt to write this function, you'll need to know about the `print()` function. +### Nitrogen Content + +Let's start by investigating any relationship between hair grass density and nitrogen content. + +First, we should spend a little time thinking about our variables. Spend a few minutes in small groups discussing the answer to the questions below. + +- Which columns are we interested in right now? +- Which one is the independent variable and which is the dependent variable? +- Are the variables categorical or continuous? +- Which type of data visualization should we use? + +::: instructor-only +**Answers:** - soil_nitrogen and hairgrass_density - independent = soil_nitrogen, dependent = hairgrass_density - both continuous - scatter plot +::: -In R, if you have multiple expressions (in our case, head and tail) and you want to see the output of each, you need to explicitly print them using the `print()` function. Otherwise, R will just show the last expression it ran. +Next, calculate the mean (`mean()`) and standard deviation (`sd()`) for the nitrogen content. ```{r} -# Demonstration of the print function -print(mean(hairgrass$soil_pH)) +hairgrass_data %>% + summarise(mean_N = mean(soil_nitrogen), + sd_N = sd(soil_nitrogen)) ``` -Now we can start to write our function! Write a function that prints the head and tail of the dataframe. If you're up for an extra challenge, have the function print out the first 10 and last 10 rows (instead of 6 and 6). +Now that we have summarized the data, let's take a look at the data visually. ```{r} -# Write your function here -# Remember to use print! +ggplot(hairgrass_data, aes(soil_nitrogen, hairgrass_density)) + + geom_point() + + labs(x = "N Content", + y = "Hairgrass Density (per 25 m^2)") + + theme_bw() +``` + +Do you see a pattern? What type of relationship do you see? + +How do we analyze this type of relationship statistically? + +## Statistical Analysis + +We are going to use two (related) statistical methods to understand the relationship between two continuous (numeric) variables: + +- correlation coefficient ($r$) and R-squared ($R^2$) +- linear regression -load_and_inspect <- function(dataframe) { - - # Print first 10 rows - print(head(dataframe, 10)) - - # Print last 10 rows - print(tail(dataframe, 10)) - -} +### Line of Best Fit + +To understand correlation, R-squared, and linear regression, we first need to talk about something we call the *line of best fit*. + +The line of best fit aims to minimize the distance between each observation (points) and the line. The distances between each observation and any line are called *residuals* (the dotted gray lines). The line of best fit is the line that has the smallest *residuals*. + +![](assets/lines.png){width="50%"} ![](assets/residuals.jpg){width="50%"} + +We can add a line of best fit to a ggplot by using the `geom_smooth()` function. We need to specify that the method we want should produce a straight line ("linear model"). + +```{r} +ggplot(hairgrass_data, aes(soil_nitrogen, hairgrass_density)) + + geom_point() + + geom_smooth(method = "lm", se = FALSE) + + labs(x = "N Content", + y = "Hairgrass Density (per 25 m^2)") + + theme_bw() + +# method = "lm" is required! +# se = FALSE is optional ``` -Test your function with the hairgrass data frame. +### Correlation Coefficient + +The correlation coefficient, `r`, is a measurement of the strength of the relationship between two continuous variables. + +The correlation coefficient is a number between -1 and 1 that looks at the relationship between two numeric variables. If the value is negative, there is a negative relationship between the two variable; if the value is positive, there is a positive relationship. + +If all the points fall exactly on the line of best fit, r = 1 or -1. If there is no relationship between the variables, `r` is 0 (or something very close to it). + +![](assets/coefficient_correlation.jpg){width="50%"} + +The greater the magnitude (size) of the correlation coefficient, the stronger the relationship between the two variables. + +![](assets/correlation.jpg){width="50%"} + +It is also important to recognize that the correlation coefficient has nothing to do with the slope of the line (we use linear regression to assess that!) + +![](assets/steepness.jpeg){width="50%"} + +Based on the hairgrass plot we did above, do you expect the correlation coefficient to be positive or negative? For this class, we'll say that any `r` value within 0.1 of 0 means there is no relationship. + +To calculate the correlation coefficient, we need to go back to base R and indicate which columns we are referencing with the `$` operator. We use the `cor()` function. ```{r} -# Test our function on hairgrass data -load_and_inspect(hairgrass) +r_nitrogen <- cor(x = hairgrass_data$soil_nitrogen, y = hairgrass_data$hairgrass_density) +r_nitrogen ``` -### Exercise 2: Linear Regression Function +### R-squared ($R^2$) + +The R-squared ($R^2$) value is a representation of how much variation is explained by the line of best fit. -**Objective**: Develop a function that performs linear regression between two columns of a data frame and returns the model summary. +When we have a dependent variable and an independent variable, the R-squared value tells us how much of the variation in the *dependent* variable is explained by the *independent* variable. -Some helpful hints: +Sometimes we don't have obvious dependent and independent variables, but we can still use similar language ($R^2$ tells us how much of the variation in the data is explained). -- Have 2 arguments, one for each column -- In the `lm()` function, you'll want to run it by specifying the dataframe and column (like `dataframe$column`) rather than just using the name of the column and setting the `data = dataframe` argument. It will look similar to how we run the code to get a correlation coefficient. +To calculate R-squared, we square the correlation coefficient value we calculated above. It is always positive because we are squaring it `r` value; that means that R-squared values range from 0 to 1. The closer to 1, the more variation is explained. ```{r} -# Write your function here! -do_regression <- function(independent, dependent) { - - # Linear model - lm_model <- lm(dependent ~ independent) - - # Print result - print(summary(lm_model)) - -} +r_nitrogen^2 ``` -Test the function with two columns from the hairgrass data set. +How would we interpret this `r^2` value? + +::: instructor-only +**Instructor Note:** r = 0.595. a moderate positive relationship. r\^2 = 0.354, meaning nitrogen content explains about 35% of the variation in hairgrass density. This is a meaningful relationship for ecological data. +::: + +One way to think of the `r^2` value that might be helpful is to convert it from a proportion to a percentage—what *percentage* of the variation in the dependent variable is explained by the independent variable? + +To convert the proportion to a percentage, we can multiply the value by 100. ```{r} -# Test function on hairgrass data -do_regression(hairgrass$soil_pH, hairgrass$hairgrass_density_m2) +r_nitrogen^2 * 100 ``` -### Exercise 3: Plotting Function +### Linear Regression Analysis + +A regression analysis approximates the relationship between a dependent variable and one or more independent variables. It evaluates the strength of that relationship, ultimately giving us a p-value. + +Since we are using linear regressions in this course, the regression model will take the form of a straight line. The generic equation for a straight line is `y = mx + b`. + +- `y` = dependent variable (y-axis) +- `x` = independent variable (x-axis) +- `m` = slope of the line +- `b` = y-intercept + +When we have a line with the specific slope and y-intercept, this equation lets us calculate the expected y-axis value for any given point on the x-axis. -**Objective:** Create a function to plot a scatter plot between two variables and add a regression line. +Using our variables, what would our linear regression model look like (we don't know `m` or `b` yet...)? -For complicated reasons we won't get into, we need to do a few important things in this function to make it work: +### Hypothesis Testing -- When you write the `ggplot` code, you'll need to use `aes_string()` in place of our usual `aes()` function. -- When you test your function with the hairgrass data, you'll need to put the names of the two columns in quotation marks (e.g., "penguin_density_m2" instead of penguin_density_m2). -- Don't worry about adding labels to your plot, but do add a theme. +What is the null hypothesis? What is the alternative hypothesis? + +**Null Hypothesis** ($H_{0}$): There is no relationship between hair grass density and nitrogen content. + +**Alternative Hypothesis** ($H_{A}$): There is a relationship between hair grass density and nitrogen content. + +What do you think this means for the slopes? + +::: instructor-only +**Instructor Note:** The null hypothesis of no relationship corresponds to a slope of 0. If there's no relationship, the line of best fit would be flat. The alternative hypothesis implies a non-zero slope (either positive or negative). +::: + +### Regression Analysis + +Thankfully, R can calculate the slope (`m`) and y-intercept (`b`) of the line of best fit for us. + +Let's find the equation for our line of best fit, our test statistic, and our p-value. To do this, we use a function called `lm()`: this stands for "linear model." + +Like with ANOVA, we will then want to use the `summary()` function to get out the values we need. ```{r} -# Write your function here! -plot_data <- function(dataframe, x, y) { - - # Make plot - plot <- ggplot(dataframe, aes_string(x = x, y = y)) + - geom_point() + - geom_smooth(method = "lm") + - theme_classic() - - # Return plot - return(plot) - -} +nitrogen_model <- lm(hairgrass_density ~ soil_nitrogen, data = hairgrass_data) +summary(nitrogen_model) ``` -Test the function with two columns from the hairgrass data set. +As with our other statistical tests---t-tests and ANOVAs---the results give us some important values: + +- `b` (y-intercept): part of our line of best fit equation + - The "intercept estimate", in this case 84.24, is our y-intercept in our line of best fit +- `m` (slope): also part of our line of best fit equation + - this is the estimate for our independent variable (soil_nitrogen in this case) + - in this model, m = 1.8 +- *F-statistic*: this is our test statistic +- *p-value*: calculated from our regression model, used to determine significance (0.05 cut-off, as usual) + - There are multiple p-values here. Focus either on the p-value for the independent variable (soil_nitrogen) or the overall p-value displayed in the last line of the results summary (p \< 2.2e-16) +- *R-squared*: this is our R-squared value that we calculated earlier + - You can report either the "multiple" or the "adjusted" + - The "multiple" will typically match the one we calculate with code + +This means our equation for the line of best fit is: y = 1.8x + 84.24 and there is a statistically significant relationship between nitrogen content and hairgrass density. + +## Soil pH + +Let's do the same series of steps to determine how soil pH impacts hair grass densities. + +Work on this in your small groups. + +::: instructor-only +**Instructor Note:** Work in small groups for about 10 minutes, then review as a class. +::: + +Start with summarizing the data: mean and standard deviation. ```{r} -# Test function on harigrass data -plot_data(hairgrass, "soil_pH", "p_content") +# Write your code here + ``` -### Bonus: +Visualize the data. Remember to add in the line of best fit using `ggplot2`. Also add labels and a theme. + +```{r} +# Write your code here -**Objective:** Create a function, `plot_data_with_r2`, that modifies the scatter plot to include the R\^2 value from the linear regression. +``` -First, outside of the function, calculate the R\^2 value for your chosen variables. Then, modify your plotting function to add an `r_squared` argument. +Calculate the correlation coefficient (`r`). What does this tell us? -Use the `annotate()` to add the R\^2 value to the plot. You can learn more about `annotate()` [here!](https://ggplot2.tidyverse.org/reference/annotate.html) +```{r} +# Write your code here -You might also want to learn about the `paste()` function [here](https://www.educative.io/answers/what-is-the-paste-function-in-r) to specify what the value you are putting on the plot represents. It might look something like `R squared = 0.4`. +``` -\*\*Remember to use `aes_string()` instead of `aes()`! +How much variation does soil pH explain in the hair grass density data? ```{r} -# Write your function here! +# Write your code here -# Calculate R-squared outside the function -r <- cor(x = hairgrass$soil_pH, y = hairgrass$p_content) +``` -# Round the value because otherwise it is extremely long! -r_squared <- round(r^2, 6) +Write out the model equation for our question about soil pH (without values). -# Make our function -plot_with_r2 <- function(dataframe, x, y, r_squared) { - - # Create the plot with points and regression line - plot <- ggplot(dataframe, aes_string(x = x, y = y)) + - geom_point() + - geom_smooth(method = "lm") + - annotate("text", x = 8, y = 20, label = paste("R^2 =", r_squared)) + - theme_classic() +Run the regression model and write out the equation for the line of best fit. - # Return plot - return(plot) - -} +```{r} +# Write your code here ``` -Test your function here: +Interpret the results of the regression. What do we conclude about the relationship between soil pH and hair grass density, and why? + +::: instructor-only +**Answers:** ```{r} -# Test function on hairgrass data -plot_with_r2(hairgrass, "soil_pH", "p_content", r_squared) +hairgrass_data %>% + summarize(mean_pH = mean(soil_ph), + sd_pH = sd(soil_ph)) ``` -### Great Work! +```{r} +ggplot(hairgrass_data, aes(soil_ph, hairgrass_density)) + + geom_point() + + geom_smooth(method = "lm", se = FALSE) + + labs(x = "Soil pH", + y = "Hairgrass Density (per 25 m^2)") + + theme_bw() +``` + +```{r} +r_ph <- cor(x = hairgrass_data$soil_ph, y = hairgrass_data$hairgrass_density) +r_ph +``` + +r = -0.131. a weak negative relationship, barely outside the "no relationship" threshold of 0.1. + +```{r} +r_ph^2 +``` + +`r^2` = 0.017. soil pH explains only about 1.7% of the variation in hairgrass density. + +Model form: hairgrass_density = m(soil_ph) + b + +```{r} +ph_model <- lm(hairgrass_density ~ soil_ph, data = hairgrass_data) +summary(ph_model) +``` + +Equation for line of best fit: y = -4.648x + 150.24 + +p = 0.0421, which is less than 0.05, so we reject the null hypothesis. There is a statistically significant relationship between soil pH and hairgrass density. + +However, look at `r^2` = 0.017. That means soil pH explains only 1.7% of the variation in hairgrass density. The relationship is real but extremely weak. + +**A p-value tells us whether a relationship exists, r\^2 tells us how strong it is. Here, the relationship technically exists but is far too weak to be a meaningful predictor. Nitrogen (r\^2 = 0.354, explaining 35% of variation) is a way better predictor of where hairgrass thrives.** +::: + +## Data-driven Decision Making + +The reason we are using regression analysis is to inform where we should (or should not) build our road so we don't harm the sensitive hair grass or take away their prime habitat. + +What do results above for nitrogen content and soil pH mean for the road we are building? + +::: instructor-only +**Instructor Note:** Nitrogen content is by far the stronger predictor. r\^2 = 0.354, meaning it explains 35% of the variation in hairgrass density (p \< 2.2e-16). Higher nitrogen strongly predicts higher hairgrass density. **Road planning should prioritize avoiding high-nitrogen areas.** + +Soil pH is statistically significant (p = 0.0421) but practically very weak. r\^2 = 0.017 means it explains only 1.7% of the variation. While the negative slope suggests more acidic soils have slightly higher density, this relationship is too weak to be a reliable guide on its own. -Remember, we will only ask you to make a function like the example at the beginning :) +**p \< 0.05 tells us a relationship exists, but r\^2 tells us whether it is actually strong enough to be useful.** Soil pH passes the significance threshold but fails the usefulness test. +::: \ No newline at end of file diff --git a/modules/module_4/module4_4.qmd b/modules/module_4/module4_4.qmd new file mode 100644 index 0000000..ba34daf --- /dev/null +++ b/modules/module_4/module4_4.qmd @@ -0,0 +1,233 @@ +--- +title: "4.4: Multiple Regression" +author: "Ellen Bledsoe" +format: + html: + toc: true +--- + +```{r} +#| include: false +knitr::opts_chunk$set(echo = TRUE) +``` + +# Multiple Regression + +## Learning Outcomes + +- Students will be able to explain when and why a multiple regression is used. +- Students will be able to run a multiple regression in R and interpret the output for each variable. +- Students will be able to explain what an interaction term means and identify it visually from a plot. +- Students will be able to run a model with an interaction term and interpret the results. + +Sometimes (often!), we have multiple independent variables that we think might be influencing our dependent variable. In order to take into account more than one variable, we can perform what is called a "multiple regression." + +Multiple regressions can become complicated beasts, but we are going to focus on adding in just one additional variable and how it can impact our interpretations. + +Let's use some penguins nesting site data to demonstrate. + +## Set-Up + +Load the tidyverse and read in "data/site_changes.csv", saving it as `site_data` + +```{r} +#| message: false +#| warning: false +# Write your code here + +``` + +::: instructor-only +**Answer:** + +```{r} +library(tidyverse) +site_data <- read_csv("data/site_changes.csv") +``` +::: + +```{r} +# This converts the year column to a categorical variable rather than a number +# We need to run this for the regression models below to work! +site_data <- site_data %>% + mutate(year = as.factor(year)) +``` + +We want to understand what factors influence penguin nesting. We wouldn't want to build our road through important penguin nesting territories! + +Let's quickly take a look at the data we have. + +```{r} +head(site_data) +tail(site_data) +``` + +Okay, it looks like we have data for 100 different sites collected in two different years. We have the number of penguin nests, which is the variable that we are interested in. We also have a few other variables that might be influencing the number of nests at each site: the number of tussocks of grass, the stone size, the distance to water, and the year that data were collected. + +Let's start with looking at how the number of grass tussocks affects nest numbers. + +### Regression Model (1 Independent Variable) + +Let's start by plotting our tussocks data and run a model. + +```{r} +ggplot(site_data, aes(x = tussocks, y = num_nests)) + + geom_point() + + geom_smooth(method = "lm") + + labs(x = "Tussocks", y = "Number of Nests") + + theme_classic() +``` + +This model is showing us a positive relationship between the number of tussocks and number of nests. Let's run our linear regression model. + +```{r} +tussocks_model <- lm(num_nests ~ tussocks, data = site_data) +summary(tussocks_model) +``` + +Our model is telling us that the relationship between the number of nests and number of tussocks is highly significant. + +::: instructor-only +**Instructor Note:** p = 8.81e-05, highly significant. The positive coefficient (1.33) means more grass tussocks predict more nests. R\^2 = 0.075, so tussocks explains about 7.5% of variation on its own. +::: + +### Running a Multiple Regression + +What if we incorporate the year the data were collected into our model? Adding an additional independent variable to our model can change how we interpret the results. + +First, let's plot a multiple scatterplot. Do we see the same patterns? + +```{r} +ggplot(site_data, aes(x = tussocks, y = num_nests, color = year)) + + geom_point() + + geom_smooth(method = "lm") + + labs(x = "Tussocks", y = "Number of Nests") + + theme_classic() +``` + +Huh, that looks a little bit different...we no longer seem to have much of a positive relationship. Instead, both lines are looking pretty flat! Let's see what happens when we add year into our regression model. + +By adding the year variable into the model, we are also asking if the number of nests changes by year. Does it change our significance? + +The way we add an independent variable is with a `+` in the equation. + +```{r} +tussocks_model <- lm(num_nests ~ tussocks + year, data = site_data) +summary(tussocks_model) +``` + +We have a bunch of estimates now! Don't worry about putting these into an equation :) We are only focusing on significance values. + +- `tussocks`: the p-value for the tussocks row (p = 0.7) shows whether the number of tussocks is a significant driver of nest numbers (it isn't!) +- `year2011`: this p-value is significant (p = 4.69e-05)---year does seem to impact how many nests there are + - (you don't need to know this, but if you are curious...): the reason this says `year2011` and not just `year` is because year is acting as a category, and we can get different coefficient estimates for year. The first option in the categorical variable (1971, in this case) is incorporated into the current intercept estimate, so `year2011` indicates the difference from the original. + +::: instructor-only +**Instructor Note:** Once the model accounts for the fact that nest numbers changed between years, tussocks no longer explains any additional variation. The tussocks effect in the simple model was being driven by the year difference, not by tussocks themselves. +::: + +### Interactions + +Sometimes, we might expect that there will be in interactive effect between the two independent variables we are including in our model. This means that the combinations of independent variables impact the dependent variable in different ways. + +We can typically spot interactive effects in a plot when the slopes of the regression lines differ from each other a lot. + +Let's talk through the visual demonstration below to hopefully get a better understanding of how interaction effects work. These plots are showing different possible relationships between two independent variables: how many cups of coffee someone has had and whether they drank them in the morning or the afternoon (categorical variable), and how those might impact the dependent variable, how long it takes to complete a task. + +- The top two panels show examples of no interactive effect. It looks like there is an effect of time of day; in each, drinking coffee in the morning makes tasks take longer. However, the *slopes* between time of day are the same. In the first panel (top left), there also looks to be an impact from the number of cups of coffee. +- The bottom four panels demonstrate possible variations of *interactive* effects. Not only does time of day and/or number of cups of coffee impact how long it takes to complete a task, but those independent variable affect how long it takes to complete a task *in different ways*. + +![](assets/coffee_interaction.jpg){width="50%"} + +In our example above, an interactive effect between tussocks and year would mean that we think the number of tussocks impacts the number of nests *in different ways* between the two categories (year). Since the slopes between the years don't look very different, we aren't really expecting there to be a significant interaction, but let's check anyway. + +Let's run a model that includes the interaction term in our model. To do this, we will use an asterisk (`*`) instead of a plus sign. + +```{r} +tussocks_model <- lm(data = site_data, num_nests ~ tussocks * year) +summary(tussocks_model) +``` + +We can see that we still have estimates for both tussocks and year alone. However, we now also have something new: our interaction term, `tussocks:year2011`. + +It turns out that adding in the year variable has changed the significance in our model, and the interaction term is also not significant. + +- The positive relationship we originally observed is no longer present when we account for the year. +- There is no significant interaction, meaning that penguins respond to the number of tussocks the same way in each year. +- Interestingly (and maybe frustratingly), the significant effect of year that we saw before is also gone. + - This is a confusing bit of statistics, and the full explanation is beyond the scope of this course. Similar things sometimes happen when we have a significant overall ANOVA but no significant pairwise comparisons. + - What is happening behind the scenes has to do with how the information for each variable is being partitioned. Adding new variables (including an interaction) decreases the likelihood of any individual variable being significant. + - For this course, the goal is to correctly interpret the significance values, not to explain why this happens. + +Let's explore another example to get a better understanding. + +### Practicing with Stone Size + +Let's investigate how stone size influences nest numbers. Gentoo penguins build their nests out of stones (they actually court their penguin partner with stones, too)! + +![](assets/gentoo-penguin-cornell-lab2.jpg){width="50%"} + +Start by plotting the relationship between stone size and the number of nests. + +```{r} +ggplot(site_data, aes(x = stone_size, y = num_nests)) + + geom_point() + + geom_smooth(method = "lm") +``` + +What does the regression model tell us? + +```{r} +stone_size_mod = lm(num_nests ~ stone_size, data = site_data) +summary(stone_size_mod) +``` + +How do we interpret this model? + +::: instructor-only +**Instructor Note:** Stone size is a significant positive predictor of nest numbers (p = 1.64e-05). Larger stones are associated with more nests. R\^2 = 0.090, so stone size explains about 9% of variation. Significant, but a weak predictor on its own. +::: + +Next, let's add year in the mix. First, plot the relationship between the number of nests and stone size by year. + +```{r} +ggplot(site_data, aes(x = stone_size, y = num_nests, color = year)) + + geom_point() + + geom_smooth(method = "lm") +``` + +This plot looks pretty different from the one with tussocks. First, let's see what happens when we add the year variable *without* the interactive term. To do that, we use a plus sign (`+`), not an asterisk (`*`). + +```{r} +stone_size_mod = lm(num_nests ~ stone_size + year, data = site_data) +summary(stone_size_mod) +``` + +How do we interpret this multiple regression model? + +::: instructor-only +**Instructor Note:** Both stone size (p = 5.6e-07) and year (p = 6.1e-10) are highly significant. Unlike tussocks, stone size remains a significant predictor even after accounting for year. The model improved substantially. R\^2 went from 0.090 to 0.251, meaning the two-variable model explains 25% of variation vs. 9% for stone size alone. +::: + +From the ggplot above, we can see that the slopes for the two different years are quite different: one is pretty flat while the other is definitely positive. Different slopes often indicate that an *interaction* might be at work. Let's find out. Run another multiple regression model, this time adding in the interactive effect (`*`). + +```{r} +stone_size_mod = lm(num_nests ~ stone_size * year, data = site_data) +summary(stone_size_mod) +``` + +Wow, a bunch of significant variables! What does that mean, exactly? + +::: instructor-only +**Instructor Note:** All three terms are significant: stone_size (p = 9.35e-12), year2011 (p = 2.51e-07), and the interaction stone_size:year2011 (p = 2.57e-06). + +The negative interaction coefficient (-1.13) means the effect of stone size on nest numbers is weaker in 2011 than in 1971. +::: + +Not only are stone size and year significant, but so is the interaction between stone size and year. What does this mean? It means that penguins in different years seems to respond differently to stone size. In 1971, the number of nests increases with stone size, but in 2011, the number of nests doesn't seem impacted by stone size. Therefore, there is an *interaction* between stone size and year. + +### Resources + +Still feeling a bit confused about multiple regression and interactions? [This website](https://stattrek.com/multiple-regression/interaction?tutorial=reg) does a nice job of laying out what interactions are. + +Also, if you are interested in how we select which model is the best model, [this article](https://www.statology.org/aic-in-r/) is a decent place to start. \ No newline at end of file diff --git a/modules/module_4/module4_home.qmd b/modules/module_4/module4_home.qmd new file mode 100644 index 0000000..9f43e81 --- /dev/null +++ b/modules/module_4/module4_home.qmd @@ -0,0 +1,49 @@ +--- +title: "Module 4: Roads and Regressions" +format: + html: + toc: false +--- + +## Overview + +With fishing bays selected and collars in need of replacement, the team faces two new challenges: identifying the makers of a mystery batch of collars, and planning a road to the fishing sites that minimizes harm to Antarctica's fragile ecosystem - including avoiding habitat for Antarctic hair grass and penguin nesting sites. Students learn to combine datasets using joins and binds, get an introduction to machine learning through K-Nearest Neighbors classification, and dive into linear and multiple regression to model environmental relationships. By the end of the module, students can work with data from multiple sources, fit regression models, and interpret their results. + +## Learning Objectives + +By the end of this module, students will be able to: + +- combine data frames using binding and joining operations in `tidyverse` +- explain the basic concept of K-Nearest Neighbors (KNN) as a classification algorithm +- describe what a model is and how it can be used to understand and predict relationships between variables +- run and interpret a simple linear regression using `lm()` and `summary()` +- interpret regression output including the slope, intercept, R-squared value, and p-value +- add a regression line to a `ggplot2` scatter plot using `geom_smooth()` +- explain when and why multiple regression is preferable to simple linear regression +- run and interpret a multiple regression with more than one independent variable + +## Lessons & Assignments + +### Lessons + +Each lesson page displays content in **student view** by default. Use the toggle button in the top right corner of the page to switch to **instructor view**, which reveals embedded answer keys and instructor notes. The QMD file, PDF, and any associated data can be downloaded from each lesson's page in either view. + +- [4.1: Combining Datasets (Joins & Binds)](module4_1.qmd) +- [4.2: K-Nearest Neighbor](module4_2.qmd) +- [4.3: Roads and Regressions](module4_3.qmd) +- [4.4: Multiple Regression](module4_4.qmd) + +### Assignments + +Assignment pages are publicly available in **student view only**. The QMD file, PDF, and any associated data can be downloaded from each assignment's page. Instructor versions with answer keys are only available to educators. To request access, visit the [Instructors page](../../instructors.qmd). + +- Assignment 1: Linear Regression +- Assignment 2: More Regressions +- Assignment 3: Multiple Regressions +- Assignment 4: Final Project Practice + +## GitHub + +To clone the entire course or download multiple files at once, visit the [course GitHub repository](). + +**Links are not yet live.** \ No newline at end of file diff --git a/modules/module_5/assets/antarctic_toothfish.jpg b/modules/module_5/assets/antarctic_toothfish.jpg new file mode 100644 index 0000000..5aa7c2d Binary files /dev/null and b/modules/module_5/assets/antarctic_toothfish.jpg differ diff --git a/modules/module_5/assets/antarctic_toothfish_distribution.jpg b/modules/module_5/assets/antarctic_toothfish_distribution.jpg new file mode 100644 index 0000000..b12053c Binary files /dev/null and b/modules/module_5/assets/antarctic_toothfish_distribution.jpg differ diff --git a/modules/module_5/assets/clipboard-1439389577.png 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files /dev/null and b/modules/module_5/assets/msy.png differ diff --git a/modules/module_5/assets/pop_crash.jpeg b/modules/module_5/assets/pop_crash.jpeg new file mode 100644 index 0000000..d23a3bc Binary files /dev/null and b/modules/module_5/assets/pop_crash.jpeg differ diff --git a/modules/module_5/assets/residuals.jpg b/modules/module_5/assets/residuals.jpg new file mode 100644 index 0000000..aade903 Binary files /dev/null and b/modules/module_5/assets/residuals.jpg differ diff --git a/modules/module_5/data/comparing_populations.csv b/modules/module_5/data/comparing_populations.csv new file mode 100644 index 0000000..a65470a --- /dev/null +++ b/modules/module_5/data/comparing_populations.csv @@ -0,0 +1,79 @@ +year,abund,population +0,51,NE +1,70,NE +2,164,NE +3,248,NE +4,431,NE +5,567,NE +6,723,NE +7,931,NE +8,931,NE +9,987,NE +10,1015,NE +11,1004,NE +12,1030,NE +13,1030,NE +14,1019,NE +15,1026,NE +16,1024,NE +17,1067,NE +18,1010,NE +19,1003,NE +20,1026,NE +21,1031,NE +22,1034,NE +23,1016,NE +24,1004,NE +25,1050,NE +0,30,SE +1,51,SE +2,137,SE +3,247,SE +4,437,SE +5,576,SE +6,747,SE +7,819,SE +8,945,SE +9,875,SE +10,978,SE +11,791,SE +12,713,SE +13,1377,SE +14,1099,SE +15,729,SE +16,857,SE +17,743,SE +18,1420,SE +19,1242,SE +20,927,SE +21,1089,SE +22,897,SE +23,885,SE +24,822,SE +25,861,SE +0,82,SW +1,60,SW +2,119,SW +3,210,SW +4,362,SW +5,448,SW +6,559,SW +7,729,SW +8,722,SW +9,745,SW +10,746,SW +11,753,SW +12,778,SW +13,816,SW +14,832,SW +15,821,SW +16,789,SW +17,802,SW +18,779,SW +19,778,SW +20,827,SW +21,770,SW +22,859,SW +23,797,SW +24,806,SW +25,778,SW diff --git a/modules/module_5/data/fish_pops.csv b/modules/module_5/data/fish_pops.csv new file mode 100644 index 0000000..f1ce71b --- /dev/null +++ b/modules/module_5/data/fish_pops.csv @@ -0,0 +1,81 @@ +N,year,growth_type,r,carrying_capacity,population +5,1,exponential,-0.45,NA,A +3,2,exponential,-0.45,NA,A +2,3,exponential,-0.45,NA,A +1,4,exponential,-0.45,NA,A +1,5,exponential,-0.45,NA,A +1,6,exponential,-0.45,NA,A +0,7,exponential,-0.45,NA,A +0,8,exponential,-0.45,NA,A +0,9,exponential,-0.45,NA,A +0,10,exponential,-0.45,NA,A +0,11,exponential,-0.45,NA,A +0,12,exponential,-0.45,NA,A +0,13,exponential,-0.45,NA,A +0,14,exponential,-0.45,NA,A +0,15,exponential,-0.45,NA,A +0,16,exponential,-0.45,NA,A +0,17,exponential,-0.45,NA,A +0,18,exponential,-0.45,NA,A +0,19,exponential,-0.45,NA,A +0,20,exponential,-0.45,NA,A +5,1,exponential,0.45,NA,B +8,2,exponential,0.45,NA,B +12,3,exponential,0.45,NA,B +19,4,exponential,0.45,NA,B +30,5,exponential,0.45,NA,B +47,6,exponential,0.45,NA,B +74,7,exponential,0.45,NA,B +117,8,exponential,0.45,NA,B +183,9,exponential,0.45,NA,B +287,10,exponential,0.45,NA,B +450,11,exponential,0.45,NA,B +706,12,exponential,0.45,NA,B +1107,13,exponential,0.45,NA,B +1736,14,exponential,0.45,NA,B +2723,15,exponential,0.45,NA,B +4270,16,exponential,0.45,NA,B +6697,17,exponential,0.45,NA,B +10503,18,exponential,0.45,NA,B +16472,19,exponential,0.45,NA,B +25834,20,exponential,0.45,NA,B +5,1,logistic,0.45,20,C +7,2,logistic,0.45,20,C +9,3,logistic,0.45,20,C +11,4,logistic,0.45,20,C +13,5,logistic,0.45,20,C +15,6,logistic,0.45,20,C +17,7,logistic,0.45,20,C +18,8,logistic,0.45,20,C +18,9,logistic,0.45,20,C +19,10,logistic,0.45,20,C +19,11,logistic,0.45,20,C +20,12,logistic,0.45,20,C +20,13,logistic,0.45,20,C +20,14,logistic,0.45,20,C +20,15,logistic,0.45,20,C +20,16,logistic,0.45,20,C +20,17,logistic,0.45,20,C +20,18,logistic,0.45,20,C +20,19,logistic,0.45,20,C +20,20,logistic,0.45,20,C +5,1,logistic,0.45,100,D +8,2,logistic,0.45,100,D +11,3,logistic,0.45,100,D +17,4,logistic,0.45,100,D +24,5,logistic,0.45,100,D +33,6,logistic,0.45,100,D +44,7,logistic,0.45,100,D +55,8,logistic,0.45,100,D +66,9,logistic,0.45,100,D +75,10,logistic,0.45,100,D +83,11,logistic,0.45,100,D +88,12,logistic,0.45,100,D +92,13,logistic,0.45,100,D +95,14,logistic,0.45,100,D +97,15,logistic,0.45,100,D +98,16,logistic,0.45,100,D +99,17,logistic,0.45,100,D +99,18,logistic,0.45,100,D +99,19,logistic,0.45,100,D +100,20,logistic,0.45,100,D diff --git a/modules/module_5/module5_1.qmd b/modules/module_5/module5_1.qmd new file mode 100644 index 0000000..72c52c2 --- /dev/null +++ b/modules/module_5/module5_1.qmd @@ -0,0 +1,236 @@ +--- +title: '5.1: Population Growth' +authors: "Jessie Golding, Desiree Andersen, Ellen Bledsoe" +format: + html: + toc: true +--- + +```{r} +#| include: false +knitr::opts_chunk$set(echo = TRUE) +``` + +# Introduction to Population Growth + +## Learning Outcomes + +- Students will be able to distinguish between exponential and logistic population growth models. +- Students will be able to interpret the intrinsic rate of increase (`r`) and carrying capacity (`K`) and explain their ecological significance. +- Students will be able to use `filter()` and `ggplot2` to explore and visualize population data. +- Students will be able to evaluate which fish population characteristics make a population a sustainable fishing target. + +Let's use descriptive statistics and data visualization to better understand population dynamics. + +### Exponential Growth + +A population that shows [exponential growth]{.underline} has a growth rate that depends on the average number of births (`b`) and deaths (`d`) per individual. + +We call rates that are averages per individual in a population (rather than a total) *per capita* growth rates; *per capita* translates from Latin to "by head," meaning for individuals. + +Combined, birth and death rates can be described as the [intrinsic rate of increase]{.underline} (`r`). We calculate `r` by subtracting the number of individuals that are removed from the population (deaths) from the number of individuals that are joining the population (births): $r = b - d$. + +We can calculate by how many individuals the population will change in a given time period (`N`) by multiplying the starting population size (`Ni`) by the intrinsic rate of increase (`r`) using this equation: + +![](assets/clipboard-1439389577.png){width="90" fig-align="center"} + +### Logistic Growth + +Populations that show logistic growth start out in the same way as populations with exponential growth–driven by *per capita* birth and death rates. + +After a while, though, limited resources also start to come into play. When calculating the change in the size of the population (`N`), we also need to take into account the maximum number of individuals the population can sustainably support, called the [carrying capacity]{.underline}, `K`. + +We use the following equation to calculate the population size: + +![](assets/clipboard-3908560513.png){width="188" fig-align="center"} + +### Visualizing Growth Models + +As a reminder, this is what each type of population growth model looks like: + +![](assets/exp_and_logistic.png){width="75%" fig-align="center"} + +# What Population Factors Matter? + +We still need to figure out what fish population we will target for Antarctica. + +Briefly, let's consider what we think might be important for sustainability. + +1. Large population +2. Stable population (i.e., not declining) + +## Fish Data + +Let's look at fish data from around our station in Antarctica over the past 20 years to get a better feel for how different population factors impact fish populations. These fish moved into the bay by our station when we established it, so we know the populations started at around the same time and had the same starting populations. + +These aren't necessarily our targets for fishing, particularly since it would be difficult and potentially disruptive to fish in the bay. Right now our goal is just to learn so we know what to look for when we are making our decision to conduct sustainable fishing. + +![Adapted from Figure 2 from Zhang et al. (2022)](assets/fish_data_fish.png){fig-align="center"} + +As always, first we load the `tidyverse` and read in the data: "fish_pops.csv" as `fish_pops`. + +```{r} +#| message: false +#| warning: false +# Write your code here + +``` + +::: instructor-only +**Answer:** + +```{r} +library(tidyverse) +fish_pops <- read_csv("data/fish_pops.csv") +``` +::: + +### Largest Population + +Which population grows the biggest? Let's start by calculating some summary statistics of the data. + +```{r} +max_pop <- fish_pops %>% + group_by(population)%>% + summarise(max_N = max(N)) +max_pop +``` + +It looks like Population B grows the largest by far. Let's learn more about Population B and filter out the data so we can look at it separately. + +```{r} +popB <- fish_pops %>% + filter(population == "B") +popB +``` + +**What type of growth is the population exhibiting?** + +**Why is there no carrying capacity in this population data set? What does this mean about the resources Population B needs?** + +::: instructor-only +**Answers:** - Growth type: exponential - No carrying capacity because exponential models assume unlimited resources. Population B is not yet limited by available resources. +::: + +### Exponential Growth Populations + +It looks like populations exhibiting exponential growth might be good targets for our fishing operations because they can become very large. Let's look at the data we have on exponential growth populations a little closer. + +Let's filter out the exponential growth models to examine them. + +```{r} +exp_pops <-fish_pops %>% + filter(growth_type == "exponential") +exp_pops +``` + +It's hard to see what's happening with only the data frame. Let's look at the exponential growth populations on the same plot: + +```{r} +ggplot(exp_pops, aes(x = year, y = N, color = population)) + + geom_point() + + geom_line()+ + labs(x = "Time", y = "Abundance", color = "Population") + + theme_light() +``` + +It looks like Population B is very large, but Population A stays small. It's hard to see what is happening on this plot because the scales are so different, so let's look at what is happening with Population A by filtering out the data just for that population. + +```{r} +popA <-fish_pops %>% + filter(population == "A") +popA +``` + +**What do you notice about Population A that is different than Population B?** + +::: instructor-only +**Answer:** The intrinsic growth rate (r) for Population A is negative. +::: + +The intrinsic rate of increase (r) for Population A is negative. Let's see what that means for Population A and plot it by itself: + +```{r} +ggplot(popA, aes(x = year, y = N)) + + geom_point() + + geom_line()+ + labs(x = "Time", y = "Abundance") + + theme_light() +``` + +**What has happened to this population?** + +::: instructor-only +**Answer:** Population A crashes and reaches zero. A negative r means more individuals are dying than being born, so the population declines until it goes extinct. +::: + +Even with "exponential growth", the population has crashed (gone to 0), because *r* is negative. It took approximately 7 years for this to happen. + +**Between Population A and Population B, which is a better target population for fishing? Why?** + +::: instructor-only +**Answer:** Population B: r \> 0 and it grows quickly, meaning it can recover from harvesting pressure. Population A is already declining and would collapse under any additional pressure. +::: + +### Logistic Growth Populations + +Okay, so we can't rely only on the type of growth as a way to make our fishing decisions. But, we're still curious about our populations that are limited by resources (i.e., exhibiting logistic growth). + +```{r} +log_pops <- fish_pops %>% + filter(growth_type == "logistic") +log_pops +``` + +Notice in this case we have carrying capacity data. Let's use some data visualizations to help us understand what that means. + +Let's look at the two logistic growth populations on the same plot: + +```{r} +ggplot(log_pops, aes(x = year, y = N, color = population))+ + geom_point() + + geom_line()+ + labs(x = "Time", y = "Abundance", color = "Population")+ + theme_light() +``` + +**Which population gets the largest?** + +::: instructor-only +**Answer:** Population D. +::: + +### Finding the Carrying Capacity + +When we have a logistic growth model, we often will want to find the carrying capacity of the population. + +**What values does each population level off at?** + +- Population C: +- Population D: + +::: instructor-only +**Answers:** Pop C: 20 Pop D: 100 (carrying capacity (K) values in the data) +::: + +**Which population do you think might be the best candidate to fish between these two?** + +::: instructor-only +**Answer:** Population D. It is more abundant and has a higher carrying capacity, meaning it can support more individuals and better withstand fishing. +::: + +### A Review of What We Have Learned + +The following factors are important to know about a population before fishing: + +1. Exponential growth can result in bigger populations than logistic growth + +2. Intrinsic rate of increase (`r`) should not be negative + +3. A higher carrying capacity means the population can take advantage of more resources to grow larger, which may indicate that the population is a better candidate for fishing + +## References + +Golding, J.; Andersen, D.; Bledsoe, E. (2024). [Data-Driven Decision-Making: Antarctic Fisheries](http://dx.doi.org/10.25334/YECE-7M02). [Teaching Ecology for All Undergraduate Audiences](https://qubeshub.org/groups/teespring2024), QUBES Educational Resources. [doi:10.25334/YECE-7M02](http://dx.doi.org/10.25334/YECE-7M02) + +Zhang, M., Liu, S., Bo, J., Zheng, R., Hong, F., Gao, F., Miao, X., Li, H., & Fang, C. (2022). First evidence of microplastic contamination in Antarctic fish (Actinopterygii, Perciformes), *Water*, *14*(19). \ No newline at end of file diff --git a/modules/module_5/module5_2.qmd b/modules/module_5/module5_2.qmd new file mode 100644 index 0000000..738530f --- /dev/null +++ b/modules/module_5/module5_2.qmd @@ -0,0 +1,222 @@ +--- +title: '5.2: Sustainable Fishing' +author: "Jessie Golding, Desiree Andersen, Ellen Bledsoe" +format: + html: + toc: true +--- + +```{r} +#| include: false +knitr::opts_chunk$set(echo = TRUE) +``` + +# Sustainable Fishing + +## Learning Outcomes + +- Students will be able to explain why logistic growth populations are preferable targets for sustainable fishing. +- Students will be able to fit a logistic growth model using the `drc` package and extract the carrying capacity estimate. +- Students will be able to calculate the maximum sustainable yield (MSY) from a carrying capacity estimate. +- Students will be able to add a horizontal reference line to a `ggplot2` plot using `geom_hline()`. + +## Applying Principles of Population Growth + +We have decided that the Antarctic toothfish (*Dissostichus mawsoni*) may be a good candidate for our fishing. + +![](assets/antarctic_toothfish.jpg){fig-align="center"} + +The Antarctic toothfish is fairly widely distributed around Antarctica. The hexagons below show where the Antarctic toothfish occurs. Gray represents known distribution and red represents locations where genetic samples were taken for a study on their population (Maschette et al. 2023). + +![](assets/antarctic_toothfish_distribution.jpg){width="75%" fig-align="center"} + +However, given concerns about maintaining the fishery (an important ecosystem service), we want to make sure we do not overfish the species but rather fish sustainably. + +Let's keep exploring our fish populations to help us understand what we should be focusing on when making decisions about how many fish we can sustainably harvest from any given population. + +## Set-Up + +As usual, we start with loading our packages and our data. Read in "fish_pops.csv" as `fish`. + +```{r} +#| message: false +#| warning: false +# Write your code here + +``` + +::: instructor-only +**Answer:** + +```{r} +library(tidyverse) +fish <- read_csv("data/fish_pops.csv") +``` +::: + +Let's take a look at the data and remind ourselves what the data look like. + +```{r} +head(fish) +``` + +## Population Growth Models + +Let's remind ourselves about exponential growth and logistic growth. + +**Exponential growth** takes births and deaths (in the form of the intrinsic growth rate, `r`) into account: + +![](assets/clipboard-4205079346.png){width="83" fig-align="center"} + +**Logistic growth** includes the intrinsic growth rate and another important factor—resources. The resources determine the maximum number of individuals a population can have, which we call the carrying capacity (`K`): + +![](assets/clipboard-3779797644.png){width="130" fig-align="center"} + +This is what each type of population growth model looks like: + +![](assets/exp_and_logistic.png){width="75%" fig-align="center"} + +### Which Population to Fish? + +We've previously discussed what factors we want to focus on when we are deciding which population to fish. Ideally, we want to target both a large population and a stable population. + +At first glance, a population that is growing exponentially seems ideal—and it is, in some ways. + +But in reality, all populations will *eventually* hit some capacity on resources. Populations that are currently demonstrating exponential growth either haven't yet hit their carrying capacity or have dramatically overshot their carrying capacity, which can lead to a huge crash or a smaller crash with boom and bust cycles until it evens out around the carrying capacity. + +![](assets/pop_crash.jpeg){width="75%" fig-align="center"} + +So, in order for us to feel confident that our population will be large for a long time, we probably want to choose the safer option, which is choosing a population that is showing logistic growth. + +Let's select the logistic growth population with the largest value, Population D, for our next analyses. + +```{r} +log_pop <- fish %>% + filter(population == "D") +``` + +## Estimating Carrying Capacity + +In our journey to determine how many fish we can sustainably harvest (i.e., remove from the population without causing the population to go extinct), we first need to determine the carrying capacity. + +While the dataset contains carrying capacity estimates, those are only visual estimates. We are going to use code (and R will use a lot of math behind the scenes) to calculate a more accurate estimate from the data. + +To do so, we are actually going to use a new package, `drc`. + +This package will let us fit a logistic model and provide an estimate of the asymptote of the curve, or the value where the curve levels off and no longer increases. This is our estimate of `K`, the carrying capacity of the population. + +```{r} +#| message: false +#| warning: false +# load the drc package; any loading messages in your console are fine +library(drc) +``` + +Now, we are going to use a function from the `drc` package called `drm()` to fit our logistic growth model. + +It works very similarly to the inferential statistics models from Module 3 except instead of finding a straight line of best fit, this line of best fit is allowed to curve like the logistic growth model. + +Let's take a look at the data to confirm what type of growth we're working with. + +```{r} +ggplot(log_pop, aes(x = year, y = N)) + + geom_point() + + geom_line() + + labs(x = "Year", y = "Population") + + theme_bw() +``` + +What kind of growth is this population exhibiting? + +::: instructor-only +**Answer:** Logistic. The population increases quickly at first, then levels off as it approaches the carrying capacity. +::: + +```{r} +# Fit the model to the data +# 'N ~ year' means we're predicting N (population) as a function of 'year' +# fct = LL.4() specifies to fit a logistic growth model +model <- drm(N ~ year, data = log_pop, fct = LL.4()) +``` + +This time, unlike with the linear model, we are interested not in a p-value but in the estimate of a specific value from the model: the carrying capacity. + +To get all of the estimated values, we will use a function called `coef`, which is short for "coefficient," to give us the estimates from the `model` object. + +```{r} +estimates <- coef(model) +estimates +``` + +In this case, we happen to be interested in the estimate they are calling `d:(Intercept)`; this is what we are calling `K`, the carrying capacity. Let's save that value. + +The simplest way to choose one value from the vector `estimates` is to use square brackets for subsetting, something we haven't done since Module 1! We want the 3rd value. + +```{r} +K <- estimates[3] +K +``` + +Our estimate for the carrying capacity is 104.5 fish, which is close to the carrying capacity value in the dataset (100). + +We can remove the label (`d:(Intercept)`) if we want to by using the `unname()` function. Now our object `K` is only the number for the estimate of the carrying capacity. + +```{r} +K <- unname(K) +K +``` + +### Plotting the Carrying Capacity + +Let's now add this estimated carrying capacity value to our plot of the data. + +First, let's plot the population data alone. + +```{r} +ggplot(log_pop, aes(x = year, y = N)) + # Plot the original data points (year vs. population) + geom_point() + + geom_line() + + labs(x = "Year", y = "Population") + + theme_bw() +``` + +To add a line representing the carrying capacity, we can use `geom_hline()` to add a horizontal line where the y-intercept is equal to the carrying capacity. + +This is very similar to how we used `geom_vline()` to add a vertical line to histograms to represent the mean value. + +```{r} +ggplot(log_pop, aes(x = year, y = N)) + # Plot the original data points (year vs. population) + geom_point() + + geom_line() + + # use geom_hline to plot a horizontal line where the y-intercept is equal to K + geom_hline(aes(yintercept = K), color = "red") + # outside of aes() sets color + labs(x = "Year", y = "Population") + + theme_bw() +``` + +## Maximum Sustainable Yield + +Once we have an estimate of the carrying capacity for a population, we can calculate something called the *maximum sustainable yield*, or MSY. + +The MSY is the number of individuals that we can remove from the population and keep the population stable (or increasing). If we remove too many individuals (above MSY), the population will not be able to reproduce fast enough to replace the harvested individuals, causing a decline in the population—in this case, from over-fishing. + +![](assets/logistic_growth_msy.png){width="49%"} ![](assets/msy.png){width="49%"} + +While the concept behind how we get to the equation for MSY may be a bit complex, thankfully, the equation itself is quite straightforward: + +![](assets/clipboard-959845017.png){fig-align="center"} + +Let's calculate the maximum sustainable yield for Population D. + +```{r} +MSY <- K/2 +MSY +``` + +This means that we can take about 52 fish from this population annually and keep the population stable! + +If we take fewer than 52 fish, the population will increase (until the carrying capacity, that is). If we take more than 52 fish, however, we are over-fishing the population, meaning the population will not be able to reproduce enough to maintain the population and will eventually collapse. + +## References + +Golding, J.; Andersen, D.; Bledsoe, E. (2024). [Data-Driven Decision-Making: Antarctic Fisheries](http://dx.doi.org/10.25334/YECE-7M02). [Teaching Ecology for All Undergraduate Audiences](https://qubeshub.org/groups/teespring2024), QUBES Educational Resources. [doi:10.25334/YECE-7M02](http://dx.doi.org/10.25334/YECE-7M02) \ No newline at end of file diff --git a/modules/module_5/module5_3.qmd b/modules/module_5/module5_3.qmd new file mode 100644 index 0000000..c50b9d6 --- /dev/null +++ b/modules/module_5/module5_3.qmd @@ -0,0 +1,317 @@ +--- +title: '5.3: Comparing Populations' +author: "Jessie Golding, Desiree Andersen, Ellen Bledsoe" +format: + html: + toc: true +--- + +```{r} +#| include: false +knitr::opts_chunk$set(echo = TRUE) +``` + +# Comparing Populations + +## Learning Outcomes + +- Students will be able to add logistic growth model curves to a `ggplot2` visualization using `predict()` and `geom_line()`. +- Students will be able to estimate and compare carrying capacities across multiple populations. +- Students will be able to select and run an appropriate statistical test to compare mean population sizes across groups. +- Students will be able to make a data-driven recommendation about which population to fish. + +Throughout this module, we have learned how populations demonstrating exponential growth and logistic growth differ from one another, both conceptually and visually. + +While we have fit models to some of these populations (specifically, logistic growth models), we have done so in order to estimate the carrying capacity of the population rather than to use inferential statistics to determine if the populations are statistically significantly different from one another. + +In this lesson, we are going to learn how to (a) add those logistic growth models to our data visualizations and (b) compare populations statistically. + +## Set Up + +As always, we need to start by loading the packages we are going to use along with our data. + +First, let's load our packages. We are going to be using both the `tidyverse` and `drc` packages in this lesson, so we need to load both of them. + +Then, load in our data "comparing_populations.csv" as `pops`. + +```{r} +#| message: false +#| warning: false +# Write your code here + +``` + +::: instructor-only +**Answer:** + +```{r} +library(tidyverse) +library(drc) +pops <- read_csv("data/comparing_populations.csv") +``` +::: + +We can use the `head()` function to take a look at the data. What data do we have? + +```{r} +head(pops) +``` + +After inspecting our dataset, it looks as though we have more time-series data of population abundances. It isn't immediately clear how many populations there are, but perhaps the populations are named after their locations ("NE" could stand for "Northeast"). + +## Visually + +Let's first start our investigation of these populations by plotting the data points as a scatterplot. + +As we have done throughout this module, we will want the variable representing time to be on the x-axis and the population abundance (N) on the y-axis. + +We will also want the data points to be distinguished by which population they are from, so we need to specify the `color` argument within the `aes()` function. + +```{r} +ggplot(pops, aes(year, abund, color = population)) + + geom_point() + + labs(x = "Year", + y = "Abundance", + color = "Fish Population") + + theme_bw() +``` + +### Interpretation + +Based on the plot, what do you notice about these populations? + +- Are they more likely exhibiting exponential or logistic growth? Why? +- How do the populations appear to differ from one another? + +Given your answers to the questions above, what might be a good next step? + +::: instructor-only +**Instructor Note:** All three populations show logistic growth. The NE population appears to reach the highest abundance, SW the lowest, with SE in between. + +Students should suggest fitting logistic models to each population to estimate carrying capacities, then running a statistical test to compare them. +::: + +## Numerically + +When comparing different categories or groups (in this case, comparing different populations), we typically compare them both visually and numerically before conducting statistical tests. + +Since we have already made visual comparisons, let's compare the populations numerically. + +Typically, we have compared groups with measures of central tendency and measures of variability. Do you think that is what we should do here? Why or why not? + +::: instructor-only +**Instructor Note:** Not quite, calculating a mean across all time points would mix the growth phase with the stable phase and give a misleading number. + +A better approach is to compare the carrying capacities from the logistic models. Once we restrict to the leveled-off period (year 15+), then comparing means with an ANOVA makes sense. +::: + +### Separate Populations + +Unlike our typical procedure, in order to fit logistic models to each population, our simplest way forward will be to create one data frame for each population. + +| NOTE: in case you are wondering, yes, there are definitely ways to fit a logistic model to each population without separating them! However, we would have to introduce quite a few new concepts to do so efficiently, so we are going to stick with the tried-and-true process of running the models individually. + +We can use the `filter` function to select each population, one at a time. + +```{r} +pop_NE <- pops %>% + filter(population == "NE") + +pop_SE <- pops %>% + filter(population == "SE") + +pop_SW <- pops %>% + filter(population == "SW") +``` + +### Finding the Carrying Capacity + +Now that we have data frames for each of the populations, we can fit the logistic model to each population and determine the estimate of the carrying capacity for each. + +As we run the code to fit the model to each population, we might receive some warnings: "Warning :NaNs produced". Don't worry, that's ok! Keep going! + +```{r} +# NE population +model_NE <- drm(abund ~ year, data = pop_NE, fct = LL.4()) +model_NE + +# if you want to be fancy and save the carrying capacity as an object +# this code combines several steps from the last lesson into one step +K_NE <- unname(coef(model_NE)[3]) +K_NE +``` + +Now we can do the same for the SE and SW populations, too. + +```{r} +# SE population +model_SE <- drm(abund ~ year, data = pop_SE, fct = LL.4()) +model_SE + +K_SE <- unname(coef(model_SE)[3]) +K_SE + +# SW population +model_SW <- drm(abund ~ year, data = pop_SW, fct = LL.4()) +model_SW + +K_SW <- unname(coef(model_SW)[3]) +K_SW +``` + +Let's record the carrying capacity estimates for each population here so we can refer back to them later, if needed. + +| Population | Carrying Capacity | +|:----------:|:------------------:| +| NE | `r round(K_NE, 1)` | +| SE | `r round(K_SE, 1)` | +| SW | `r round(K_SW, 1)` | + +As we saw in the plot, the estimated carrying capacity for the SW population is below that of the NE population. + +What was much more challenging to see clearly in the plot, however, is that the estimated carrying capacity of the SE population is in between the other two carrying capacities, albeit closer to the NE population. + +### Plotting the Logistic Model Curves + +We can add the logistic growth models that we fit to each population into our ggplot to more easily compare the curves. + +To do so requires a few steps. + +1. Use the `predict()` function to get the values for the "logistic line of best fit." Remember, these will not match up perfectly with our *actual, observed* values; these are the y-axis or `abundance` values for the best fitting logistic model at each observed x-axis value, or year. + +2. Use the `mutate()` function to create a new column in each data frame with these logistic *model* values. + +3. Combine all three dataframes back together into one dataframe using the `bind_rows()` function. + +4. Plot the actual data points using `geom_point()` and plot the logistic model data points using the `geom_line()` function. + +#### Add the Logistic Model Points to the Dataframes + +First, let's see what output the `predict()` function gives us for the NE population. + +```{r} +predict(model_NE) +``` + +If we compare these numbers to the numbers in the `abund` column of `pop_NE`, we notice that they are not the same. The difference between these values from the model of best fit and the actual, observed values are called *residuals*, just as they are with lines of best fit (from linear regressions). + +![](assets/residuals.jpg){width="50%" fig-align="center"} + +Let's use the `mutate` function to add these model values to each dataframe. + +```{r} +pop_NE <- pop_NE %>% + mutate(logistic_model = predict(model_NE)) +pop_NE + +pop_SE <- pop_SE %>% + mutate(logistic_model = predict(model_SE)) + +pop_SW <- pop_SW %>% + mutate(logistic_model = predict(model_SW)) +``` + +#### Combine Dataframes + +We can now bring all three individual data frames back together into one data frame using a function called `bind_rows()`. You can think of `bind_rows` as gluing the data frames together, one after another. + +The arguments in the `bind_rows()` function are all of the data frames we want glued together. + +```{r} +pops_models <- bind_rows(pop_NE, pop_SE, pop_SW) +pops_models +``` + +The resulting data frame again has 78 observations, as did the original `pops` data frame. + +#### Add Logistic Models to the Plot + +We can now add the logistic models to our plot using the `geom_line()` function. Specifically, the values from the `logistic_model` column will be the y-axis values for the lines we are adding; the x-axis values are the same as the overall plot: `year`. + +```{r} +ggplot(pops_models, aes(x = year, y = abund, color = population)) + + geom_point() + + geom_line(aes(y = logistic_model)) + + labs(x = "Year", y = "Abundance", color = "Fish Population") + + theme_bw() +``` + +It is now much easier to visually distinguish the differences between the growth curves and the carrying capacities between the three populations! + +## Statistically + +We still want to analyze our three populations using inferential statistics to determine if there are significant differences between the populations. + +First, we need to decide what type of statistical test makes sense with the data we have. This is *not* a straight-forward question with a straight-forward answer. How we determine which test to use ultimately depends on the question we are asking and, therefore, the hypothesis we are testing. + +For the sake of the class (and in your assignment, too), let's assume the question we want to ask is whether the average population sizes significantly differ between the populations. + +What type of statistical test should we use to answer that question? + +What would the null and alternative hypotheses be for that statistical test? + +::: instructor-only +**Instructor Note:** An ANOVA. We have one numeric dependent variable (abundance) and one categorical independent variable (population) with three groups. + +- **Null hypothesis:** The mean abundance is the same across all three populations during the leveled-off period. +- **Alternative hypothesis:** At least one population has a significantly different mean abundance. +::: + +### Filtering the Data + +To most accurately compare the populations, we likely want to restrict the comparison to when the populations (or the models of best fit, at least) are fairly leveled off. + +(Again, this is more of an estimation than an exact science, though there are more precise and complicated tools that could be used.) + +A rough estimation would be that the models mostly level off around year 15; let's filter our data to include only abundance from year 15 and later. + +```{r} +pops_15_25 <- pops_models %>% + filter(year >= 15) +pops_15_25 +``` + +### Running the Statistical Analysis + +Now that we have filtered our data, we can conduct our statistical test. + +```{r} +model_aov <- aov(abund ~ population, data = pops_15_25) +summary(model_aov) +``` + +This p-value tells us that the overall model is significant (we reject the null hypothesis), but it doesn't tell us which populations are significantly different from one another. To determine which populations differ from each other, we need to run *post hoc* pairwise-comparisons. + +```{r} +TukeyHSD(model_aov) +``` + +How do we interpret these results? What are our conclusions? + +::: instructor-only +**Instructor Note:** The ANOVA is significant (p = 0.000704), meaning at least one population differs from the others. The Tukey HSD breaks it down: + +- NE vs SE: not significantly different (p = 0.355) +- NE vs SW: significantly different (p = 0.0006) NE has higher abundance +- SE vs SW: significantly different (p = 0.021) SE has higher abundance + +Conclusion: SW is significantly lower in abundance than both NE and SE. NE and SE are statistically similar to each other, but NE has a slightly higher carrying capacity. +::: + +## Data-Driven Decision Making + +Our ultimate goal in this module has been to determine which population of fish is best for fishing sustainably. We are prioritizing large, stable populations. + +Given those requirements and what our numeric, visual, and statistical tests have told us, which of these populations would be the best for us to harvest? Why? + +::: instructor-only +**Instructor Note:** NE is the best choice, it has the highest carrying capacity and is significantly more abundant than SW. + +SE is also a reasonable choice since it is not statistically different from NE and has a substantially higher carrying capacity than SW. + +SW should be avoided: it is significantly less abundant than the other two and has the lowest carrying capacity, so it is least able to withstand fishing pressure. +::: + +## References + +Golding, J.; Andersen, D.; Bledsoe, E. (2024). [Data-Driven Decision-Making: Antarctic Fisheries](http://dx.doi.org/10.25334/YECE-7M02). [Teaching Ecology for All Undergraduate Audiences](https://qubeshub.org/groups/teespring2024), QUBES Educational Resources. [doi:10.25334/YECE-7M02](http://dx.doi.org/10.25334/YECE-7M02) \ No newline at end of file diff --git a/modules/module_5/module5_home.qmd b/modules/module_5/module5_home.qmd new file mode 100644 index 0000000..4014250 --- /dev/null +++ b/modules/module_5/module5_home.qmd @@ -0,0 +1,50 @@ +--- +title: "Module 5: Sustainable Fishing" +format: + html: + toc: false +--- + +## Overview + +With fishing bays selected and roads planned, the team must now figure out how many fish they can sustainably harvest without depleting the population. Students are introduced to population growth models - exponential and logistic - and use them to estimate carrying capacities and maximum sustainable yield for Antarctic toothfish populations. They then learn to fit logistic growth curves to real data and compare populations statistically. Along the way, students also step outside of R to practice finding and citing scientific literature and writing a scientific abstract in preparation for the final project. + +> **Note:** Module 5 is an example of how *Data in the Wild* can be extended or adapted to reflect a specific disciplinary focus. This version was developed by Dr. Ellen Bledsoe and draws on her background in ecology. The course can be taught with or without this module, and instructors are encouraged to develop alternatives that reflect their own expertise or research context. + +## Learning Objectives + +By the end of this module, students will be able to: + +- explain the difference between exponential and logistic population growth and identify each from a graph +- define carrying capacity (`K`) and intrinsic rate of increase (`r`) and use them in population growth calculations +- calculate maximum sustainable yield from population growth parameters +- fit a logistic growth model to population data using the `drc` package +- overlay a fitted logistic growth curve onto a `ggplot2` scatter plot +- compare multiple populations statistically using tools from previous modules +- find and evaluate scientific literature using AI-assisted search tools +- summarize scientific articles and integrate them into written work +- write a scientific abstract for a research question using supporting literature + +## Lessons & Assignments + +### Lessons + +Each lesson page displays content in **student view** by default. Use the toggle button in the top right corner of the page to switch to **instructor view**, which reveals embedded answer keys and instructor notes. The QMD file, PDF, and any associated data can be downloaded from each lesson's page in either view. + +- [5.1: Population Growth](module5_1.qmd) +- [5.2: Sustainable Fishing](module5_2.qmd) +- [5.3: Comparing Populations](module5_3.qmd) + +### Assignments + +Assignment pages are publicly available in **student view only**. The QMD file, PDF, and any associated data can be downloaded from each assignment's page. Instructor versions with answer keys are only available to educators. To request access, visit the [Instructors page](../../instructors.qmd). + +- Assignment 1: Scientific Literature & Abstract Writing *(writing assignment)* +- Assignment 2: Choosing a Bay to Fish +- Assignment 3: Comparing Populations + +## GitHub + +To clone the entire course or download multiple files at once, visit the [course GitHub repository](). + +**Links are not yet live.** \ No newline at end of file diff --git a/resources.qmd b/resources.qmd index f37649b..e695048 100644 --- a/resources.qmd +++ b/resources.qmd @@ -1,12 +1,28 @@ --- -title: "Learn More!" +title: "Resources" format: html: toc: false --- -There are many external resources if you're interested in learning more about the R language, and any programming language really. Here, we have compiled a list of some places you might turn to for additional nuggets of knowledge. +There are many resources available if you would like to keep building your skills in R, data science, and data visualization beyond this course. Here, we have compiled a list of some places you might turn to for additional nuggets of knowledge. -- Jeff Oliver (one of the people who helped develop this course) holds workshops for both students and instructors at the University of Arizona and beyond. Here is one of his lesson sequences for novices in R: [learn-r (jcoliver.github.io)](https://jcoliver.github.io/learn-r/) +## Learn More! -- If you enjoy the customization of visualizations as much as I do, here is a good resource: [R CHARTS \| A collection of charts and graphs made with the R programming language (r-charts.com)](https://r-charts.com/) +- [learn-r by Jeff Oliver](https://jcoliver.github.io/learn-r/) + A helpful introductory lesson sequence in R developed by Jeff Oliver, one of the contributors to this course. + +- [Hello Data Science](https://hellodata.science/) + A beginner-friendly resource designed to introduce students to data science concepts and tools in a clear, accessible way. + +- [R for Data Science](https://r4ds.hadley.nz/) + A widely used open-access textbook for learning R, data wrangling, visualization, and analysis. + +- [The Carpentries](https://carpentries.org/) + A well-known community focused on teaching foundational coding and data skills for research. Their workshops and teaching materials are especially helpful for beginners. + +- [From Data to Viz](https://www.data-to-viz.com/) + A guide for choosing the right kind of visualization for your data. + +- [R Charts](https://r-charts.com/) + A useful reference for creating and customizing charts and graphs in R. \ No newline at end of file diff --git a/scripts/pdf-button.js b/scripts/pdf-button.js new file mode 100644 index 0000000..f052bc1 --- /dev/null +++ b/scripts/pdf-button.js @@ -0,0 +1,19 @@ +document.addEventListener("DOMContentLoaded", () => { + const tocSidebar = document.querySelector("#quarto-margin-sidebar"); + + if (!tocSidebar) return; + + if (document.querySelector(".toc-pdf-button")) return; + + const btn = document.createElement("a"); + btn.href = "#"; + btn.textContent = "PDF"; + btn.className = "toc-pdf-button"; + + btn.addEventListener("click", (e) => { + e.preventDefault(); + window.print(); + }); + + tocSidebar.appendChild(btn); +}); \ No newline at end of file diff --git a/scripts/toggle-view.js b/scripts/toggle-view.js new file mode 100644 index 0000000..116045d --- /dev/null +++ b/scripts/toggle-view.js @@ -0,0 +1,76 @@ +(function () { + const STORAGE_KEY = 'ditw-view-mode'; + + function isTogglePage() { + const path = window.location.pathname; + // Lesson pages: /modules/module_1/module1_1.html etc. + const isLesson = /\/modules\/module_\d+\/module\d+_\d+\.html/.test(path); + // Instructors page + const isInstructors = /\/instructors\.html/.test(path); + return isLesson || isInstructors; + } + + function setView(mode) { + const isInstructor = mode === 'instructor'; + document.body.classList.toggle('instructor-view', isInstructor); + localStorage.setItem(STORAGE_KEY, mode); + updateButton(isInstructor); + updateBanner(isInstructor); + } + + function updateButton(isInstructor) { + const btn = document.getElementById('view-toggle-btn'); + if (!btn) return; + btn.innerHTML = isInstructor + ? 'Student | Instructor' + : 'Student | Instructor'; + btn.title = isInstructor + ? 'Currently in Instructor View - click to switch to Student View' + : 'Currently in Student View - click to switch to Instructor View'; + } + + function updateBanner(isInstructor) { + let banner = document.getElementById('instructor-banner'); + if (!banner) { + banner = document.createElement('div'); + banner.id = 'instructor-banner'; + banner.textContent = 'INSTRUCTOR VIEW - answers and instructor notes are visible'; + const navbar = document.querySelector('.navbar'); + if (navbar && navbar.nextSibling) { + navbar.parentNode.insertBefore(banner, navbar.nextSibling); + } else { + document.body.insertBefore(banner, document.body.firstChild); + } + } + banner.style.display = isInstructor ? 'block' : 'none'; + } + + function createButton() { + const btn = document.createElement('button'); + btn.id = 'view-toggle-btn'; + btn.setAttribute('aria-label', 'Toggle between Student and Instructor view'); + btn.addEventListener('click', function () { + const current = document.body.classList.contains('instructor-view') + ? 'instructor' : 'student'; + setView(current === 'instructor' ? 'student' : 'instructor'); + }); + + const toc = document.getElementById('quarto-margin-sidebar'); + if (toc) { + toc.insertBefore(btn, toc.firstChild); + } else { + btn.classList.add('toggle-btn-fallback'); + document.body.appendChild(btn); + } + return btn; + } + + document.addEventListener('DOMContentLoaded', function () { + // Only show the toggle on lesson pages and the instructors page + if (!isTogglePage()) return; + + const saved = localStorage.getItem(STORAGE_KEY) || 'student'; + createButton(); + setView(saved); + }); +})(); \ No newline at end of file diff --git a/structure.qmd b/structure.qmd deleted file mode 100644 index 3dfa213..0000000 --- a/structure.qmd +++ /dev/null @@ -1,90 +0,0 @@ ---- -title: "Course Structure" -format: - html: - toc: false ---- - -## The Full Course Cheese Board - -This page serves as an inventory of the material associated with each subsection of this site. These are also available in the Data in the Wild Github repository, which can be accessed here: \[insert link of canonical version\]. - -***Note*****:** The instructor versions of lessons are also available as PDFs, and they can be downloaded from the righthand table of contents within the respective module subsection (e.g. Click on 1.1: Introduction to RStudio in the left sidebar \> navigate your attention to the table of contents on the right side of the screen \> the link to the PDF should be the last option). - -+--------+---------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+---+---+ -| Module | Title | Lecture / Code-along (.Rmd) | Data sets (.csv) | Discussions (.txt) | Assignments (.Rmd) | | | -+:======:+:=============================================================:+:==================================================================================================================================================================:+:===================================:+:===============================================================================================================================================:+:========================================================================================================================================================:+===+===+ -| 1.1 | Introduction to RStudio | [Student](https://raw.githubusercontent.com/BiodiversityDataScienceCorp/DataInTheWild_UA/main/modules/module_1/lessons/Module1_1_IntrotoRStudio.Rmd) | Figure how to download all in a zip | [Discussion 1](https://raw.githubusercontent.com/BiodiversityDataScienceCorp/DataInTheWild_UA/main/modules/module_1/discussions/discussion_1_1) | Assignment 1 | | | -| | | | | | | | | -| | | [Instructor](https://raw.githubusercontent.com/BiodiversityDataScienceCorp/DataInTheWild_UA/main/modules/module_1/lessons/Module1_1_IntrotoRStudio_Instructor.Rmd) | | [Discussion 2](https://raw.githubusercontent.com/BiodiversityDataScienceCorp/DataInTheWild_UA/main/modules/module_1/discussions/discussion_1_2) | [Assignment 2](https://raw.githubusercontent.com/BiodiversityDataScienceCorp/DataInTheWild_UA/main/modules/module_1/assignments/Module1_Assignment2.Rmd) | | | -| | | | | | | | | -| | | | | | [Assignment 3](https://raw.githubusercontent.com/BiodiversityDataScienceCorp/DataInTheWild_UA/main/modules/module_1/assignments/Module1_Assignment3.Rmd) | | | -+--------+---------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+---+---+ -| 1.2 | Introduction to Coding | Student | | Discussion 1 | | | | -| | | | | | | | | -| | | Instructor | | Discussion 2 | | | | -+--------+---------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+---+---+ -| 1.3 | 2-dimensional Data and the `tidyverse` | Student | | Discussion 1 | | | | -| | | | | | | | | -| | | Instructor | | Discussion 2 | | | | -+--------+---------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+---+---+ -| 2.1 | Introduction to Descriptive Statistics and Data Visualization | Student | | Discussion 1 | | | | -| | | | | | | | | -| | | Instructor | | Discussion 2 | | | | -+--------+---------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+---+---+ -| 2.2 | Writing Functions | Student | | Discussion 1 | | | | -| | | | | | | | | -| | | Instructor | | Discussion 2 | | | | -+--------+---------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+---+---+ -| 2.3 | Plotting with `ggplot2` | Student | | Discussion 1 | | | | -| | | | | | | | | -| | | Instructor | | Discussion 2 | | | | -+--------+---------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+---+---+ -| 2.4 | A Visualization Primer | Student | | Discussion 1 | | | | -| | | | | | | | | -| | | Instructor | | Discussion 2 | | | | -+--------+---------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+---+---+ -| 2.5 | Sick Fish | Student | | Discussion 1 | | | | -| | | | | | | | | -| | | Instructor | | Discussion 2 | | | | -+--------+---------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+---+---+ -| 2.6 | Exploring `geom` Functions | Student | | Discussion 1 | | | | -| | | | | | | | | -| | | Instructor | | Discussion 2 | | | | -+--------+---------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+---+---+ -| 2.7 | Wrap-Up | Student | | Discussion 1 | | | | -| | | | | | | | | -| | | Instructor | | Discussion 2 | | | | -+--------+---------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+---+---+ -| 3.1 | Leopard Seals | Student | | Discussion 1 | | | | -| | | | | | | | | -| | | Instructor | | Discussion 2 | | | | -+--------+---------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+---+---+ -| 3.2 | T-Tests | Student | | Discussion 1 | | | | -| | | | | | | | | -| | | Instructor | | Discussion 2 | | | | -+--------+---------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+---+---+ -| 3.3 | Comparing (Multiple) Means | Student | | Discussion 1 | | | | -| | | | | | | | | -| | | Instructor | | Discussion 2 | | | | -+--------+---------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+---+---+ -| 3.4 | Combining Data (Joins and Binds) | Student | | Discussion 1 | | | | -| | | | | | | | | -| | | Instructor | | Discussion 2 | | | | -+--------+---------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+---+---+ -| 3.5 | K-Nearest Neighbor | Student | | Discussion 1 | | | | -| | | | | | | | | -| | | Instructor | | Discussion 2 | | | | -+--------+---------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+---+---+ -| 4.1 | Roads and Regressions | Student | | Discussion 1 | | | | -| | | | | | | | | -| | | Instructor | | Discussion 2 | | | | -+--------+---------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+---+---+ -| 4.2 | Multiple Regression | Student | | Discussion 1 | | | | -| | | | | | | | | -| | | Instructor | | Discussion 2 | | | | -+--------+---------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+---+---+ -| 4.3 | Using Functions to Automate Tasks | Student | | Discussion 1 | | | | -| | | | | | | | | -| | | Instructor | | Discussion 2 | | | | -+--------+---------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+---+---+ diff --git a/styles.scss b/styles.scss index 2265f07..0603da6 100644 --- a/styles.scss +++ b/styles.scss @@ -1,11 +1,6 @@ /*-- scss:defaults --*/ // Fonts - -// Raleway -// Righteous -// Vollkorn - @import url('https://fonts.googleapis.com/css2?family=Raleway:ital,wght@0,100..900;1,100..900&family=Righteous&family=Vollkorn:ital,wght@0,400..900;1,400..900&display=swap'); // Colors @@ -22,17 +17,16 @@ $saddlebrown: #8B4513; $slate-grey: #C6E2FF; // Base document colors -$navbar-bg: $dark-blue; // navbar (bar at top of page) -$navbar-fg: $blanched-almond; // navbar foreground (text, etc.) -$navbar-hl: $slate-grey; // when you hover over navbar stuff +$navbar-bg: $dark-blue; +$navbar-fg: $blanched-almond; +$navbar-hl: $slate-grey; $page-footer-hl: $slate-grey; -$link-color: $magenta; // when you hover over buttons - - +$link-color: $magenta; /*-- scss:rules --*/ -// Title, specifically (a.k.a. h1) +// text + .title { font-family: "Vollkorn"; font-size: 45px; @@ -43,32 +37,207 @@ $link-color: $magenta; // when you hover over buttons font-weight: 500; } -// Headers h1, h2, h3 { font-family: "Vollkorn"; color: $darkest-blue; } -// Navbar +body { + font-family: "Raleway"; + color: $dark-blue; + font-weight: 500; +} + +// links + +a { + color: $magenta; + text-decoration: none; + + &:hover { + color: darken($magenta, 10%); + text-decoration: underline; + } +} + +// navbar + .navbar { font-family: "Righteous"; } -// Sidebar +// Hide navbar logo on desktop — sidebar logo takes over +@media (min-width: 992px) { + .navbar-brand img { + display: none; + } +} + +// sidebar + .sidebar { - font-family: "Raleway"; - font-weight: 600; + font-family: "Righteous"; + font-size: 1rem; } -// Body -body { - font-family: "Raleway"; +.sidebar-item .sidebar-item-text { + padding-top: 0.4em; + padding-bottom: 0.4em; + letter-spacing: 0.03em; +} + +.sidebar-item-container .active { + color: $magenta; + font-weight: 700; +} + +.sidebar nav.sidebar-nav { + padding-top: 1em; +} + +.sidebar-logo { + width: 160px; + height: 160px; + object-fit: contain; + display: block; + margin: 1em auto; +} + +// pdf download button + +.toc-pdf-button { + display: block; + margin-top: 1rem; + padding: 0.5rem 0.75rem; + border-radius: 8px; + text-align: center; + font-family: "Righteous"; + background: $magenta; + color: $blanched-almond !important; + text-decoration: none; + + &:hover { + background: darken($magenta, 10%); + text-decoration: none; + } +} + +// instructor/student toggle + +// by default, student view +.instructor-only { + display: none; +} + +// instructor view +body.instructor-view .instructor-only { + display: block; + border-left: 4px solid $magenta; + background: rgba(138, 22, 101, 0.05); + padding: 0.5rem 1rem; + margin: 0.75rem 0; + border-radius: 0 8px 8px 0; + + &::before { + content: "INSTRUCTOR"; + display: block; + font-family: "Righteous"; + font-size: 0.65rem; + letter-spacing: 0.12em; + color: $magenta; + margin-bottom: 0.35rem; + } +} + +// banner below navbar when instructor mode is active +#instructor-banner { + display: none; + width: 100%; + background: $magenta; + color: $blanched-almond; + font-family: "Righteous"; + font-size: 0.8rem; + letter-spacing: 0.08em; + text-align: center; + padding: 0.4rem 1rem; + position: sticky; + top: 0; + z-index: 999; +} + +// toggle button, sits lh side of rh sidebar +#view-toggle-btn { + display: block; + width: 100%; + margin-bottom: 1.25rem; + padding: 0.5rem 0.75rem; + border: 2px solid $dark-blue; + border-radius: 8px; + cursor: pointer; + font-family: "Righteous"; + font-size: 0.78rem; + letter-spacing: 0.03em; + background: $blanched-almond; color: $dark-blue; - font-weight: 500; - + text-align: center; + transition: border-color 0.2s ease, background 0.2s ease; + + &:hover { + background: darken($blanched-almond, 5%); + } + + .toggle-label { + font-size: 0.7rem; + letter-spacing: 0.08em; + opacity: 0.6; + margin-right: 0.2rem; + } + + .toggle-divider { + opacity: 0.35; + margin: 0 0.3rem; + } + + .toggle-opt { + opacity: 0.45; + + &.active { + opacity: 1; + font-weight: 700; + text-decoration: underline; + text-underline-offset: 3px; + } + } } -// Buttons (e.g. home buttons for email, Github, and Linkedin) -div.quarto-about-trestles .about-entity .about-link { +// button border turns purple in instructor mode +body.instructor-view #view-toggle-btn { + border-color: $magenta; color: $magenta; + + &:hover { + background: rgba(138, 22, 101, 0.06); + } +} + +// for accessibility, if no TOC sidebar exists, fix to bottom-right +#view-toggle-btn.toggle-btn-fallback { + position: fixed; + bottom: 2rem; + right: 2rem; + width: auto; + z-index: 1000; + box-shadow: 0 2px 10px rgba(0, 0, 0, 0.2); } + +// mobile accessibility + +@media (max-width: 768px) { + .title { + font-size: 32px; + } + + body { + font-size: 14px; + } +} \ No newline at end of file