6  ANalysis of VAriance (ANOVA)

ANalysis of VAriance (ANOVA) is a method to make multiple group mean inference with F statistics based on variance.

\[H_0: \mu_1 = \mu_2 = \mu_3 = \dots \mu_p \quad H_a:\text{At least one of them different from others}\]

ANOVA tries to calculate the variance with in groups and variance for all groups, and have a F-test.