On adaptive procedures controlling the familywise error rate

Sanat K. Sarkar, Wenge Guo, Helmut Finner

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

The idea of modifying, and potentially improving, classical multiple testing methods controlling the familywise error rate (FWER) via an estimate of the unknown number of true null hypotheses has been around for a long time without a formal answer to the question whether or not such adaptive methods ultimately maintain the strong control of FWER, until Finner and Gontscharuk (2009) and Guo (2009) have offered some answers. A class of adaptive Bonferroni and Šidàk methods larger than considered in those papers is introduced, with the FWER control now proved under a weaker distributional setup. Numerical results show that there are versions of adaptive Bonferroni and Šidàk methods that can perform better under certain positive dependence situations than those previously considered. A different adaptive Holm method and its stepup analog, referred to as an adaptive Hochberg method, are also introduced, and their FWER control is proved asymptotically, as in those papers. These adaptive Holm and Hochberg methods are numerically seen to often outperform the previously considered adaptive Holm method.

Original languageEnglish (US)
Pages (from-to)65-78
Number of pages14
JournalJournal of Statistical Planning and Inference
Volume142
Issue number1
DOIs
StatePublished - Jan 2012

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

Keywords

  • Adaptive methods
  • Familywise error rate
  • Multiple testing
  • Stepdown method
  • Stepup method

Fingerprint

Dive into the research topics of 'On adaptive procedures controlling the familywise error rate'. Together they form a unique fingerprint.

Cite this