JSM 2005 Online Program

Abstract #303817

This is the preliminary program for the 2005 Joint Statistical Meetings in Minneapolis, Minnesota. Currently included in this program is the "technical" program, schedule of invited, topic contributed, regular contributed and poster sessions; Continuing Education courses (August 7-10, 2005); and Committee and Business Meetings. This on-line program will be updated frequently to reflect the most current revisions.

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Activity Number:	358
Type:	Contributed
Date/Time:	Wednesday, August 10, 2005 : 8:30 AM to 10:20 AM
Sponsor:	IMS
Abstract - #303817
Title:	Using the Generalized Partitioning Principle To Control Generalized Family-wise Error Rate
Author(s):	Haiyan Xu*+
Companies:	The Ohio State University
Address:	1180 Chambers Road, Columbus, OH, 43212, United States
Keywords:	multiple testing ; generalized familywise error rate ; partitioning principle ; false discovery rate ; strong control of FWER ; stepdown test
Abstract:	In multiple testing, strong control of the family-wise error rate (FWER) may be unnecessarily stringent in situations such as bioinformatic studies. An alternative is to control the false discovery rate (FDR), the proportion of true null hypotheses among all rejected null hypotheses. However, in bioinformatic studies, the loss/cost of false discoveries often corresponds to the number, rather than the proportion, of false discoveries. Controlling the generalized family-wise error rate (gFWER) controls the probability of incorrectly rejecting more than m hypotheses. In this paper, we propose the generalized Partitioning Principle for constructing multiple tests that control gFWER. A set of sufficient conditions to shortcut generalized partitioning tests as stepdown tests is provided. We show that, by being able to use information on the joint distribution of test statistics, stepdown partitioning tests can be more powerful than stepdown tests that ignore such information.

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