Analytic P-value calculation for the higher criticism test in finite d problems.

ABSTRACT: The higher criticism is effective for testing a joint null hypothesis against a sparse alternative, e.g., for testing the effect of a gene or a genetic pathway that consists of d genetic markers. Accurate p-value calculations for the higher criticism based on the asymptotic distribution require a very large d, which is not the case for the number of genetic variants in a gene or a pathway. In this paper we propose an analytic method that accurately computes the p-value of the higher criticism test for finite d problems. Unlike previous treatments, this method does not rely on asymptotics in d or simulation, and is exact for arbitrary d when the test statistics are normally distributed. The method is particularly computationally advantageous when d

SUBMITTER: Barnett IJ 

PROVIDER: S-EPMC4350786 | biostudies-literature | 2014

REPOSITORIES: biostudies-literature