Marginal regression analysis of a multivariate binary response |
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Authors: | EKHOLM, ANDERS SMITH, PETER W. F. MCDONALD, JOHN W. |
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Affiliation: | Department of Statistics, University of Helsinki PO Box 54, 00014 Helsinki, Finland Department of Social Statistics, University of Southampton Southampton SO 17 1BJ, U.K. |
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Abstract: | We propose the use of the mean parameter for regression analysisof a multivariate binary response. We model the associationusing dependence ratios defined in terms of the mean parameter,the components of which are the joint success probabilitiesof all orders. This permits flexible modelling of higher-orderassociations, using maximum likelihood estimation. We reanalysetwo data sets, one with variable cluster size and the othera longitudinal data set with constant cluster size. |
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Keywords: | Correlated binary data Longitudinal data Mean parameter Measure of association |
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