JSM 2005 Online Program

Abstract #304330

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:	63
Type:	Contributed
Date/Time:	Sunday, August 7, 2005 : 4:00 PM to 5:50 PM
Sponsor:	Biometrics Section
Abstract - #304330
Title:	Powerful Statistics for Testing the Null Hypothesis of No Association versus the Alternative of One Associated Category in 2-by-m Tables (m>4)
Author(s):	Jeanine Houwing-Duistermaat*+ and Rachid el Galta and Hans van Houwelingen
Companies:	Leiden University Medical Center and Leiden University Medical Center and Leiden University Medical Center
Address:	Depart of Medical Statistics and Bioinformatics, PO Box 9604, Leiden, 2300 RC, Netherlands
Keywords:	Genetic association studies ; haplotypes ; multiple testing ; score tests
Abstract:	In genetic association studies, the observed case-control data often are summarized in 2-by-m tables with m the number of haplotypes. If a gene is associated, one or a few haplotypes will be overrepresented in the cases. For this situation, the classical Pearson's chi-square has small power. As an alternative, the maximum of chi-square statistics of all 2-by-2 tables of one haplotype versus the rest can be computed (Zmax). To allow for more than one associated haplotype, the maximum of chi-square statistics of all 2-by-2 tables of combinations of haplotypes versus the rest can be used (Zclump). Another approach is to sum over the haplotypes (i.e., to write the likelihood as a weighted sum of conditional likelihoods given that a haplotype is associated). Here, the parameters are m-1 frequencies and one parameter modeling the excess in cases. The likelihood ratio statistic or the score statistic can be used to test the null hypothesis. We heuristically and empirically compared the power of the various tests. As illustration, the tests were applied to a case-control study. We conclude the score statistic provides good power, regardless of the number of positively associated haplotypes.

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