On Optimality of Stepdown and Stepup Multiple Test Procedures

Details On Optimality of Stepdown and Stepup Multiple Test Procedures On Optimality of Stepdown and Stepup Multiple Test Procedures

2005-07-21

arxiv.org/abs/math/0507417v1

Annals of Statistics 2005, Vol. 33, No. 3, 1084-1108

Mathematics

Statistics Theory

Published at http://dx.doi.org/10.1214/009053605000000066 in the Annals of Statistics (http://www.imstat.org/aos/) by the Inst

Scientific paper

10.1214/009053605000000066

Consider the multiple testing problem of testing k null hypotheses, where the unknown family of distributions is assumed to satisfy a certain monotonicity assumption. Attention is restricted to procedures that control the familywise error rate in the strong sense and which satisfy a monotonicity condition. Under these assumptions, we prove certain maximin optimality results for some well-known stepdown and stepup procedures.

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