Regression Analysis

This class is all about applying regression analysis and linear models, including generalized linear models, mediation and moderation, with a little bit of machine learning techniques thrown in. The book we’ll use throughout the class, and that drives the structure of the lecture slides, is Regression Analysis and Linear Models by Richard Darlington and Andrew Hayes. This course uses R and RStudio for all data analyses.

We will use several different data sets during the course:

• A subset of the General Social Survey
• A data set used in Quas et al. about high risk youth data set
• A data set regarding poverty, violence, and teen birth rates per state
• A small (ficticious) data set about The Office (US) and Parks and Recreation television shows
• A data set about the passengers of the titanic
• A fictious data set about the “Married At First Sight” TV show

We may also pull from FiveThirtyEight’s open data on GitHub occassionally throughout the class (many of these data sets can be used for your class project as well if they have both continuous and categorical predictors).

Syllabus

Class Materials

Unit 1

In-Class Material RMD

Lecture	Slides and Materials	Recorded Lecture
L0: Intro to the class	PPTX
L1: Intro to R and RStudio	HTML	Intro to R
L2: Causation	PPTX	Causation
L3: Simple Regression	PPTX	Simple Regression
L4: Multiple Regression	PPTX	Multiple Regression
L5: Categorical Predictors	PPTX	Categorical Predictors

Unit 2

In-Class Material RMD

Lecture	Slides and Materials	Recorded Lecture
L6: Statistical Inference	PPTX	Inference Part 1 & Inference Part 2
L7: Model Diagnostics	PPTX	Diagnostics Part 1 & Diagnostics Part 2
L8: Missing Data & Such	PPTX	Missing Data
L9: Threats to Validity	PPTX	Threats to Validity

Unit 3

In-Class Material RMD

Lecture	Slides and Materials	Recorded Lecture
L10: Effect Sizes	PPTX	Effect Size
L11: Linear Interactions	PPTX	Interactions Part 1 & Interactions Part 2
L12: Nonlinear Relationships	PPTX	Nonlinear
L13: Intro to GLMs	PPTX	Intro to GLMs

Unit 4

In-Class Material RMD

Lecture	Slides and Materials	Recorded Lecture
L14: Logistic Regression	PPTX	Logistic Regression
L15: Other GLMs	PPTX	Other GLMs
L16: Mediation Analysis	HTML	Mediation Analysis
L17: Miscellaneous	PPTX

Final Project

Here’s an example of a final project from a few years ago. This follows the template well but doesn’t necessarily have all the stuff in it (e.g., they could have included a DAG, a plot of the data other than the diagnostics), but this shows understanding of the material so it receive a high grade.