Module 7: Factorial ANOVA

In this module, we will take start look at extensions to the one-way analysis of variance (ANOVA).

I have split the lecture videos into two sections: balanced two-way, and advanced.

Lecture Videos: Balanced Two-Way

Lecture Notes

Lecture notes displayed in the lectures can always be found at the lecture notes website.

Introduction

Balanced versus Unbalanced

Notes on Notation and Interactions

Estimating Model Parameters

Hypothesis Tests

Sums of Squares and Test Statistics

OCD Data

Two way ANOVA and OCD Data

Marginal versus Cell Means

Using emmmeans

Note: while different in implementation, similar features are available in marginaleffects

Multiple Comparisons

Back to life… back to residuals

Lecture Videos: Advanced

Lecture Notes

Lecture notes displayed in the lectures can always be found at the lecture notes website.

Introducing the Unbalanced Two-Way ANOVA

Math Jargon and Notation

The Effect of Unbalanced Data on Sums of Squares

Type I, II, and III Tests

Spoiler Alert: There is a Type IV Sums of Squares for designs with “empty” cells. It is very uncommon in use, but some advocate for its broader use.

Type II and Type III Tests in Patient Data

What should you use?

Patient Satisfaction Data

Main Effect Comparisons in Patient Data

Cell Interaction Comparisons in Patient Data

📚 Recommended Reading & Other Content

Crash Course

A little more advanced concepts

Quant Psych