ABSTRACT

In this chapter we introduce the analysis of variance (ANOVA) method, a powerful technique of great generality for estimating and comparing the means of two or more populations, and in particular for testing the null hypothesis that the means are the same. This is an extension of the problem of testing hypotheses about the means of two populations discussed in Section 8.3. When the null hypothesis of no difference among the means is rejected, the next step in the analysis is to determine which means differ significantly from one another. This naturally leads us to study the problem of multiple comparisons of the population means.