Abstract
The usual methods of analyzing data in sets of 2 × 2 contingency tables are invalid when observations are correlated. This happens when, for example, families rather than individuals are assigned to treatments. This paper compares two models of clustering in dichotomous data: the beta-binomial model and a model developed by Cohen and Altham. The beta-binomial distribution is then used to model responses in K 2 × 2 contingency tables. This leads to an expression for the variance of the maximum likelihood estimator of the common odds ratio, which is compared to the usual MLE of the odds ratio. The performance of the Mantel-Haenszel estimator of the odds ratio under cluster sampling is assessed using a simulation study.
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© 1987 D. Reidel Publishing Company, Dordrecht, Holland
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Donald, A., Donner, A. (1987). The Effect of Clustering on the Analysis of Sets of 2 × 2 Contingency Tables. In: MacNeill, I.B., Umphrey, G.J., Donner, A., Jandhyala, V.K. (eds) Biostatistics. The University of Western Ontario Series in Philosophy of Science, vol 38. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4794-8_8
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DOI: https://doi.org/10.1007/978-94-009-4794-8_8
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