Methods for the statistical analysis of binary data in split-cluster designs
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Published on: February 10, 2017
Allan Donner1, Neil Klar, Guangyong Zou
1Department of Epidemiology and Biostatistics, University of Western Ontario, London, Ontario N6A 5C1, Canada. donner@biostats.uwo.ca
Abstract:
Split-cluster designs are frequently used in the health sciences when naturally occurring clusters such as multiple sites or organs in the same subject are assigned to different treatments. However, statistical methods for the analysis of binary data arising from such designs are not well developed. The purpose of this article is to propose and evaluate a new procedure for testing the equality of event rates in a design dividing each of k clusters into two segments having multiple sites (e.g., teeth, lesions). The test statistic proposed is a generalization of a previously published procedure based on adjusting the standard Pearson chi-square statistic, but can also be derived as a score test using the approach of generalized estimating equations.
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