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A direct approach to false discovery rates (2002)
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| Citations: | 774 - 14 self |
BibTeX
@MISC{Storey02adirect,
author = {John D. Storey},
title = {A direct approach to false discovery rates},
year = {2002}
}
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Abstract
Summary. Multiple-hypothesis testing involves guarding against much more complicated errors than single-hypothesis testing. Whereas we typically control the type I error rate for a single-hypothesis test, a compound error rate is controlled for multiple-hypothesis tests. For example, controlling the false discovery rate FDR traditionally involves intricate sequential p-value rejection methods based on the observed data. Whereas a sequential p-value method fixes the error rate and estimates its corresponding rejection region, we propose the opposite approach—we fix the rejection region and then estimate its corresponding error rate. This new approach offers increased applicability, accuracy and power. We apply the methodology to both the positive false discovery rate pFDR and FDR, and provide evidence for its benefits. It is shown that pFDR is probably the quantity of interest over FDR. Also discussed is the calculation of the q-value, the pFDR analogue of the p-value, which eliminates the need to set the error rate beforehand as is traditionally done. Some simple numerical examples are presented that show that this new approach can yield an increase of over eight times in power compared with the Benjamini–Hochberg FDR method.
Keyphrases
direct approach false discovery rate error rate corresponding rejection region error rate beforehand single-hypothesis test intricate sequential p-value rejection method opposite approach positive false discovery rate pfdr benjamini hochberg fdr method sequential p-value method compound error rate multiple-hypothesis test new approach false discovery rate fdr simple numerical example new approach offer pfdr analogue complicated error single-hypothesis testing rejection region
