A note on adaptive Bonferroni and Holm procedures under dependence

Wenge Guo

Biometrika, 2009, vol. 96, issue 4, 1012-1018

Abstract: 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. Copyright 2009, Oxford University Press.

Date: 2009
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