On Optimality of Stepdown and Stepup Multiple Test Procedures

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dc.creatorLehmann, E. L.
dc.creatorRomano, Joseph P.
dc.creatorShaffer, Juliet Popper
dc.date2005-07-21
dc.date.accessioned2026-07-07T08:07:03Z
dc.date.available2026-07-07T08:07:03Z
dc.descriptionConsider 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.
dc.descriptionPublished at http://dx.doi.org/10.1214/009053605000000066 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0507417
dc.identifierhttp://arxiv.org/abs/math/0507417
dc.identifierAnnals of Statistics 2005, Vol. 33, No. 3, 1084-1108
dc.identifierdoi:10.1214/009053605000000066
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130814
dc.subjectStatistics Theory
dc.subject62J15 (Primary) 62F03. (Secondary)
dc.titleOn Optimality of Stepdown and Stepup Multiple Test Procedures
dc.typetext

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