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A note on adaptive Bonferroni and Holm procedures under dependence


  • Wenge Guo


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.

Suggested Citation

  • Wenge Guo, 2009. "A note on adaptive Bonferroni and Holm procedures under dependence," Biometrika, Biometrika Trust, vol. 96(4), pages 1012-1018.
  • Handle: RePEc:oup:biomet:v:96:y:2009:i:4:p:1012-1018

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    Cited by:

    1. Miecznikowski, Jeffrey C. & Gold, David & Shepherd, Lori & Liu, Song, 2011. "Deriving and comparing the distribution for the number of false positives in single step methods to control k-FWER," Statistics & Probability Letters, Elsevier, vol. 81(11), pages 1695-1705, November.

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