JSM 2004 - Toronto

Abstract #301686

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Activity Number: 310
Type: Contributed
Date/Time: Wednesday, August 11, 2004 : 8:30 AM to 10:20 AM
Sponsor: Biometrics Section
Abstract - #301686
Title: Testing for Homogeneity in Genetic Linkage Analysis
Author(s): Yuejiao Fu*+ and Jiahua Chen and Jack Kalbfleisch
Companies: University of Waterloo and University of Waterloo and University of Michigan
Address: Dept. of Statistics and Actuarial Science, Waterloo, ON, N2L 3G1, Canada
Keywords: genetic linkage analysis ; hypothesis testing ; local asymptotic power ; mixture models ; modified likelihood ; recombinant
Abstract:

We apply the modified likelihood ratio test to two binomial mixture models arising in genetic linkage analysis. The limiting distribution of the test statistic for both models is shown to be a mixture of chi-squared distributions. A consideration of random family sizes for both models gives similar results. We also explore the power properties under local alternatives. Simulation studies show that the modified likelihood ratio test is more powerful than other methods under a variety of model specifications.


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