Holm Beats Bonferroni
Eight hypotheses are tested with p-values 0.0005, 0.0060, 0.0070, 0.0090, 0.0105, 0.0200, 0.2000, 0.6000. Apply Holm's step-down procedure at family-wise error rate 0.05: sort the p-values, compare the smallest with 0.05/8, the next with 0.05/7, then 0.05/6, and so on, rejecting in order and stopping at the first failure. How many hypotheses does Holm reject? Give an integer.
Related problems & prerequisites
Worth solving first
- The Smallest of Ten p-values 5.0/10
- Two Hits Among Twenty Nulls 4.0/10
- The Peeking Problem 4.0/10
Source: Holm (1979) step-down procedure, standard in multiple-testing texts. Statement written for AxiomIQ.