Asymptotic optimality of the Westfall--Young permutation procedure for multiple testing under dependence

Details Asymptotic optimality of the Westfall--Young permutation procedure for multiple testing under dependence Asymptotic optimality of the Westfall--Young permutation procedure for multiple testing under dependence

2011-06-10

arxiv.org/abs/1106.2068v2

Annals of Statistics 2011, Vol. 39, No. 6, 3369-3391

Mathematics

Statistics Theory

Published in at http://dx.doi.org/10.1214/11-AOS946 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of

Scientific paper

10.1214/11-AOS946

Test statistics are often strongly dependent in large-scale multiple testing applications. Most corrections for multiplicity are unduly conservative for correlated test statistics, resulting in a loss of power to detect true positives. We show that the Westfall--Young permutation method has asymptotically optimal power for a broad class of testing problems with a block-dependence and sparsity structure among the tests, when the number of tests tends to infinity.

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