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The ANOVA F-test for the slope parameter β 1. The null hypothesis is H 0. Pin On Good Resources Work β 1 0. . ANOVA ANalysis Of VAriance is a statistical test to determine whether two or more population means are different. The test statistic is FfracMSRMSE. ANOVA generalizes the t-test beyond 2 groups so it is used to. The alternative hypothesis is H A. β 1 0. Student t-test is used to compare 2 groups. In other words it is used to compare two or more groups to see if they are significantly different. In practice however the. The following section summarizes the ANOVA F-test. For this reason it is often referred to as the analysis of variance F-test.