Approximate Power and Sample Size Calculations with the Benjamini-Hochberg Method

Ferreira José António and Zwinderman Aeilko H
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Ferreira José António: AMC - University of Amsterdam
Zwinderman Aeilko H: University of Amsterdam

The International Journal of Biostatistics, 2006, vol. 2, issue 1, 38

Abstract: We provide a method for calculating the sample size required to attain a given average power (the ratio of rejected hypotheses to the number of false hypotheses) and a given false discovery rate (the number of incorrect rejections divided by the number of rejections) in adaptive versions of the Benjamini-Hochberg method of multiple testing. The method works in an asymptotic sense as the number of hypotheses grows to infinity and under quite general conditions, and it requires data from a pilot study. The consistency of the method follows from several results in classical areas of nonparametric statistics developed in a new context of "weak" dependence.

Keywords: multiple testing; false discovery rate; density estimation; estimation of distribution functions; power calculation; sample size calculation; analysis of microarray data (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (6)

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DOI: 10.2202/1557-4679.1018

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