11: Analysis of Variance
- Page ID
- 24070
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- 11.1: One-Way ANOVA
- The one-way ANOVA F-test is a statistical test for testing the equality of \(k\) population means from 3 or more groups within one variable or factor. There are many different types of ANOVA; we will cover with what is commonly referred to as a one-way ANOVA, which has one main effect or factor that is split up into three or more independent treatment levels. In more advanced courses you would learn about dependent groups or two or more factors.
- 11.2: Pairwise Comparisons of Means (Post-Hoc Tests)
- How to determine which means are significantly different from each other, if the ANOVA indicates rejecting the null hypothesis, using the Bonferroni Test.
- 11.3: Two-Way ANOVA (Factorial Design)
- Two-way analysis of variance (two-way ANOVA) is an extension of one-way ANOVA that allows for testing the equality of \(k\) population means from two independent variables, and to test for interaction between the two variables.