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Biometrika 1971 58(3):561-576; doi:10.1093/biomet/58.3.561
© 1971 by Biometrika Trust
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The analysis of matched proportions

PATRICIA M. E. ALTHAM

University of Cambridge

The analysis of the difference between two treatments is discussed, the available data being the dichotomous responses to each of the two treatments by individuals matched in pairs. The model used in a Bayesian analysis is compared with the logistic model suggested by Cox (1958), and with a random effects model. A model which assumes the positive association of responses of matched individuals is considered. Finally, some of these methods are extended to the case when the order of application of the two treatments may matter.

Key Words: Matched proportions • Two-by-two contingency tables • Bayesian analysis • Logistic model for binary data • Quantal data


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