Journal
BIOSTATISTICS
Volume 14, Issue 1, Pages 129-143Publisher
OXFORD UNIV PRESS
DOI: 10.1093/biostatistics/kxs030
Keywords
Classification; False discovery rate; Higher criticism; Signal identification; Variable selection
Funding
- BMBF [0315452A]
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Signal identification in large-dimensional settings is a challenging problem in biostatistics. Recently, the method of higher criticism (HC) was shown to be an effective means for determining appropriate decision thresholds. Here, we study HC from a false discovery rate (FDR) perspective. We show that the HC threshold may be viewed as an approximation to a natural class boundary (CB) in two-class discriminant analysis which in turn is expressible as the FDR threshold. We demonstrate that in a rare-weak setting in the region of the phase space where signal identification is possible, both thresholds are practicably indistinguishable, and thus HC thresholding is identical to using a simple local FDR cutoff. The relationship of the HC and CB thresholds and their properties are investigated both analytically and by simulations, and are further compared by the application to four cancer gene expression data sets.
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