Journal
BIOMETRIKA
Volume 96, Issue 4, Pages 1012-1018Publisher
OXFORD UNIV PRESS
DOI: 10.1093/biomet/asp048
Keywords
Bonferroni procedure; Conditional dependence; Familywise error rate; Holm procedure; Multiple testing; Step-down procedure
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Hochberg & Benjamini (1990) first presented adaptive procedures for controlling familywise error rate. However, until now, it has not been proved that these procedures control the familywise error rate. We introduce a simplified version of Hochberg & Benjamini's adaptive Bonferroni and Holm procedures. Assuming a conditional dependence model, we prove that the former procedure controls the familywise error rate in finite samples while the latter controls it approximately.
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