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Developing and Analyzing Statistical Models with R

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Introduction to R

Basics of R Objects in R Functions in R Data Representation in R Vectors and Matrices in R Data Frames and Lists in R Summary Exercise: Create Factors and a Data Frame Solution: Create Factors and a Data Frame Exercise: Create Plots with Numerical Data Solution: Create Plots with Numerical Data Exercise: Create Plots with Categorical Data Solution: Create Plots with Categorical Data Quiz: Introduction to R

Thoughts on Proper Data Analysis

Experimental Designs

Plan an Experiment

Decide Between Competing Analyses

Exploratory Data Analysis and Data Summarization

About the Data Data Exploration and Error Checking Fixing Mistakes in the Data Summarizing and Manipulating Data Summary Exercise: Hands-on Data Filtering/Manipulation Solution: Hands-on Data Filtering/Manipulation Exercise: Create Box and Whisker Plots Solution: Create Box and Whisker Plots Quiz: Exploratory Data Analysis

Introduction to Plotting

Introduction to Plotting Different Types of Plotting Techniques Plotting Data Using gplots Plotting Data Using ggplot2 Summary Exercise: Create Plots with Facets, Colors and Descriptive Labels Solution: Create Plots with Facets, Colors and Descriptive Labels Exercise: Create Enhanced Bar Plots Solution: Create Enhanced Bar Plots Quiz: Introduction to Plotting

Basic Statistical Analysis Using R

Basic Statistical Analysis Testing for Normality in Our Data Nonparametric Tests Introducing Linear Models Multiple Comparisons Summary Exercise: Conduct a Series of One-way ANOVAs Solution: Conduct a Series of One-way ANOVAs Exercise: Examine the Effects of Log-transformation on Results Solution: Examine the Effects of Log-transformation on Results Quiz: Basic Statistical Analysis Using R

More Linear Models in R

Introduction to Multi-way ANOVA More Linear Models Linear Regression Plotting the Regression Analysis of Covariance (ANCOVA)The Predict() Function Plotting with ggplot() Instead of qplot()Summary Exercise: Analyze Data with Multiple Predictors Solution: Analyze Data with Multiple Predictors Exercise: Perform Analysis of Covariance (ANCOVA) and Plot Solution: Perform Analysis of Covariance (ANCOVA) and Plot Exercise: Statistical Analysis with Different Interactions Solution: Statistical Analysis with Different Interactions Quiz: More Linear Models

Advanced Statistical Analysis Using R

Generalized Linear Models Understanding and Interpreting the GLM GLMs and ANCOVAs Summary Exercise: Explore the Data with Multiple Predictors Solution: Explore Data with Multiple Predictors Exercise: Appropriately Visualize the Significant Findings Solution: Appropriately Visualize the Significant Findings Quiz: Advanced Analytical Statistics Using R

Mixed-effects Model

Understanding Mixed-effects Models Diagnostic Plots Generalized Linear Mixed Model (GLMM)More About Model Selection Summary Exercise: Rerun the ANCOVA Models Solution: Rerun the ANCOVA Models Exercise: Compare the AIC Scores Solution: Compare the AIC Scores Quiz: Mixed Effects Models

Advanced Data Wrangling and Plotting

The tidyverse Library Basic Data Wrangling Advanced Data Wrangling Making Better Figures with ggplot2 Customizing a Figure in R Faceting in R Combining Data Wrangling and Plotting with ggplot2 Summary Exercise: Create a Bar Graph for Each Tank in the Experiment Solution: Create a Bar Graph for Each Tank in the Experiment Quiz: Advanced Wrangling and Plotting

Writing Loops and Functions in R

For Loops Functions Writing a Simple Function Writing More Complex Functions Summary Exercise: Automate the Repeated Tasks and Simulate the Data Solution: Automate the Repeated Tasks and Simulate the Data Quiz: Writing Loops and Functions in R

Appendix

Setup on the Local Machine Create Well-documented and Annotated Code

Conclusion

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Decide Between Competing Analyses

Decide Between Competing Analyses

Learn how to decide between competing analyses.

How to decide between competing analyses

We’ll often be faced with different possible ways to analyze our data, and various methods may have specific pros and cons. Our job is to pick the statistical analysis that does the best job of representing and interpreting our data. Getting us to the point where we know how to evaluate our data and make that decision is one of the primary goals of this course.

Sometimes, there will be two different models that may essentially be equivalent. They may fit equally well, and they may give us very similar answers about the significance of our predictors. Sometimes, we might have to choose amongst competing models that give us different answers about our predictors’ supposed effectiveness. How do we decide which model to go with?

We should be completely neutral about the idea of “significance” and only consider if the model is doing ...