Analysis of Variance I

Analysis of Variance (ANOVA) is a statistical procedure for comparing means of two or more populations. In this chapter statistical methods for one-way ANOVA models are introduced, which help analyze differences in the mean response corresponding to the levels of a single group variable or factor. In several examples, the chapter describes R functions for an ANOVA F test for testing equality of treatment means, post-hoc tests to compare treatment means using Fisher’s Least Significant Difference and Tukey’s Honest Significant Difference methods with relevant plots.