. Author manuscript; available in PMC: 2012 Jul 20.

Published in final edited form as: Stat Med. 2011 May 3;30(16):1917–1932. doi: 10.1002/sim.4262

Table 2.

Examples of the standard Bonferroni procedure and its variants, Hochberg's and Holm's procedures for testing of K = 3 outcomes at level α = 0.05. Hypotheses are sorted H₀₁,H₀₂,H₀₃ according to the sorted p-values.

Sorted p-values		Bonferroni	Hochberg's step-up	Holm's step-down
(0.01,0.02,0.05)	Step 1	Reject H₀₁	Accept H₀₃	Reject H₀₁
	Step 2		Reject H₀₁,H₀₂, stop	Reject H₀₂
	Step 3			Stop

(0.02,0.02,0.04)	Step 1	No rejection	Reject H₀₁,H₀₂, H₀₃	No rejection
	Step 2
	Step 3

(0.03,0.03,0.03)	Step 1	No rejection	Reject H₀₁,H₀₂,H₀₃	No rejection
	Step 2
	Step 3