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Chunk #26 — False discovery rates

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Detecting multiple associations in genome-wide studies.
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Subsequently, Storey and colleagues[53,56] have argued that the choice of the appropriate rate depends on how many positive results there are, and, furthermore, that the rate is only meaningful when there is at least one positive. This motivates the positive FDR (pFDR), defined as the expected proportion of false positives among all positive results, conditional on at least one positive at a given significance level:[56]