Skip to content

Bonferroni and Scheffé Methods

Overview

Bonferroni Method

Perform each pairwise comparison at \(\alpha/C\) where \(C = \binom{k}{2}\) is the number of pairs. Simple and applicable to any set of comparisons.

Scheffé's Method

Controls the FWER for ALL possible contrasts (not just pairwise). Uses the critical value \(\sqrt{(k-1)F_{\alpha,k-1,N-k}}\).

Comparison

  • Bonferroni: tighter for a small number of planned comparisons
  • Scheffé: better when exploring all possible contrasts