Oneway ANOVA & the GLM
Week 6
Concepts
- null H0 and alternative H1 hypotheses for one-way ANOVA
- partitioning sums of squares into between- and within-group components
- the omnibus F-test
- the standard ANOVA table and its interpretation
- the
aov()function in R to perform one-way ANOVA - ANOVA as a linear model of the data
- H_{0} and H_{1} as two alternative linear models
lm()of the data
- H_{0} and H_{1} as two alternative linear models
- assumptions of one-way ANOVA
- how to check them
- what you can do when they are violated
- Effect size (Navarro Ch. 14.4)
Required Readings
- Chapter 14—Comparing several means (one-way ANOVA) in Learning Statistics with R by Danielle Navarro (pdf version)
- read sections: 14.1, 14.2, 14.3, 14.4, 14.6, 14.7, 14.8, 14.9, 14.10, 14.11, 14.12
Additional supporting materials
- Chapter 7—ANOVA in Answering questions with data by Matthew J. C. Crump
- ANOVA R simulations of the null hypothesis by Matthew J. C. Crump
- Effect Sizes by Daniël Lakens
- Lakens, Daniël. 2013. Calculating and Reporting Effect Sizes to Facilitate Cumulative Science: A Practical Primer for t-Tests and ANOVAs. Frontiers in Psychology 4 (November): 863.