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Cited by 411

The DOI matches its Crossref record; 33 of the 33 references it cites were found in a registry or an index.

Size, power and false discovery rates

Open access
Efron, Bradley·2007·The Annals of Statistics

Abstract

Modern scientific technology has provided a new class of large-scale simultaneous inference problems, with thousands of hypothesis tests to consider at the same time. Microarrays epitomize this type of technology, but similar situations arise in proteomics, spectroscopy, imaging, and social science surveys. This paper uses false discovery rate methods to carry out both size and power calculations on large-scale problems. A simple empirical Bayes approach allows the false discovery rate (fdr) analysis to proceed with a minimum of frequentist or Bayesian modeling assumptions. Closed-form accuracy formulas are derived for estimated false discovery rates, and used to compare different methodologies: local or tail-area fdr’s, theoretical, permutation, or empirical null hypothesis estimates. Two microarray data sets as well as simulations are used to evaluate the methodology, the power diagnostics showing why nonnull cases might easily fail to appear on a list of “significant” discoveries.

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Metadata

Authors
Efron, B.
Venue
The Annals of Statistics
Published
2007-08-01
Volume
35
Issue
4
Pages
1351-1377
ISSN
0090-5364 (ISSN-L)
OpenAlex
W2009660843
Cited by
411
References
33
FWCI
16.22
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Size, power and false discovery rates. https://app.cochat.ai/papers/10.1214/009053606000001460
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Efron, B. (2007). Size, power and false discovery rates. The Annals of Statistics. https://doi.org/10.1214/009053606000001460

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