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Activity Number: 429
Type: Contributed
Date/Time: Wednesday, August 5, 2009 : 8:30 AM to 10:20 AM
Sponsor: Biopharmaceutical Section
Abstract - #305009
Title: New Step-Down Procedures for Control of the Generalized Family-Wise Error Rate
Author(s): Zijiang Yang*+ and Sanat Sarkar
Companies: Temple University and Temple University
Address: 1810 N 13th St, Philadelphia, PA, 19122,
Keywords: Step Down Test ; Generalized Familywise Error ; Multiple Testing
Abstract:

Holm (1979) proposed a step-down procedure for multiple hypothesis testing with a control of the familywise error rate (FWER) under any kind of dependence. Lehmann and Romano (2005) generalized the Holm procedure with a control of the generalized familywise error rate (k-FWER). In this article, the Lehmann-Romano procedure is modified by taking into account the correlations between the test statistics, yielding a more powerful k-FWER controlling procedure. Another procedure is also proposed to improve Lehmann-Romano procedure under independence. Simulations were carried out to show that our procedure often provides much better k-FWER control and power than the Lehmann-Romano procedure and the Holm's procedure.


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