Step-down FDR procedures for large numbers of hypotheses

    Authors

    P. N. Somerville

    Comments

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    Keywords

    FALSE DISCOVERY RATE; MULTIPLE; Computer Science, Theory & Methods

    Abstract

    Somerville (2004b) developed FDR step-down procedures which were particularly appropriate for cases where the number of false hypotheses was small. The test statistics were assumed to have a niultivariate-t distribution with common correlation. MCV's (minimum critical values) were chosen so that 8 unique critical values resulted. Tables were given for numbers of hypotheses in, ranging from 50 to 10,000, for rho = 0., 0.5, and nu = 1.5, infinity. In this paper we extend the results, using MCV's resulting in 31 critical values. Tables are given for the same values of m, for rho = 0: 0.1, 0.5 and nu = 15, infinity. Interpolation rules are given for m, rho and nu. Use of larger numbers of critical values increase both the power and the number of hypotheses falsely rejected. When the expected number of false hypotheses is small, use of the procedures of this paper results in a reduced number of false rejections with a negligible reduction in power.

    Journal Title

    Applied Parallel Computing: State of the Art in Scientific Computing

    Volume

    3732

    Publication Date

    1-1-2006

    Document Type

    Article

    Language

    English

    First Page

    949

    Last Page

    956

    WOS Identifier

    WOS:000237003200115

    ISSN

    0302-9743; 3-540-29067-2

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