Eroxl's Notes
Analysis of Variance
aliases
ANOVA

Analysis of Variance (ANOVA) is a statistical method used to test whether three or more population means are equal by analyzing the sample variances within and between groups. ANOVA is a form of hypothesis testing and was developed as a generalization of the two-sample t-test beyond two means.

Procedure

Hypothesis:

  • :
  • : at least one of the means is different

Test Statitistic

The F-statistic is used to compare the variance between groups to the variance within groups in order to determine whether the null hypothesis should be rejected.