Analysis of Variance: Oneway ANOVA
We apply the t-test when we compare two groups; two or more groups can be compared using an ANOVA. A one-way ANOVA is an ANOVA for comparing several means of one variable. Note that the hypothesis of the ANOVA F-test states that all population means are equal. The alternative hypothesis is that at least one of the population means differs from the others. The statistical model in ANOVA is
where yij is the observation of individual j in group i, u_i is the population mean in group i, and e_ij is an error term.
