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A review of modern multiple hypothesis testing, with particular attention to the false discovery proportion

Farcomeni, Alessio·2008·Statistical Methods in Medical Research

Abstract

In the last decade a growing amount of statistical research has been devoted to multiple testing, motivated by a variety of applications in medicine, bioinformatics, genomics, brain imaging, etc. Research in this area is focused on developing powerful procedures even when the number of tests is very large. This paper attempts to review research in modern multiple hypothesis testing with particular attention to the false discovery proportion, loosely defined as the number of false rejections divided by the number of rejections. We review the main ideas, stepwise and augmentation procedures; and resampling based testing. We also discuss the problem of dependence among the test statistics. Simulations make a comparison between the procedures and with Bayesian methods. We illustrate the procedures in applications in DNA microarray data analysis. Finally, few possibilities for further research are highlighted.

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Metadata

Authors
Farcomeni, A.
Venue
Statistical Methods in Medical Research
Published
2007-08-14
Volume
17
Issue
4
Pages
347-388
ISSN
  • 0962-2802 (ISSN-L)
  • 1477-0334
OpenAlex
W2032136732
Cited by
225
References
15
FWCI
8.71
Type
journal article
Language
en
Open access
closed
Licence
journals.sagepub.com/page/policies/text-and-data-mining-license (tdm)

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Farcomeni, A. (2008). A review of modern multiple hypothesis testing, with particular attention to the false discovery proportion. Statistical Methods in Medical Research. https://doi.org/10.1177/0962280206079046

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