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Activity Number: 537
Type: Contributed
Date/Time: Thursday, August 2, 2007 : 10:30 AM to 12:20 PM
Sponsor: Biometrics Section
Abstract - #310085
Title: The Exact Distribution of the Heterogeneity Statistic in Meta-Analysis
Author(s): Brad Biggerstaff*+ and Dan Jackson
Companies: Centers for Disease Control and Prevention and University of Salford
Address: PO Box 2087, Fort Collins, CO, 80522-2087,
Keywords: meta-analysis ; homogeneity test ; heterogeneity ; West Nile virus
Abstract:

The exact distribution of Cochran's heterogeneity statistic Q in one-way meta-analysis is derived, and software is provided to facilitate computation. The exact Q-distribution is used to derive the exact distributions of the heterogeneity measures I^2, H^2 and H^2_M, and also of the DerSimonian-Laird estimator of the heterogeneity variance parameter. Comparisons of standard approximations are made to the exact results in applications appearing in the literature and of a meta-analysis of West Nile virus studies of clinical to sub-clinical infection ratios.


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Revised September, 2007