A model for a multivariate binary response with covariates based on compatible conditionally specified logistic regressions

Harry Joe and Ying Liu

Statistics & Probability Letters, 1996, vol. 31, issue 2, 113-120

Abstract: A model for a multivariate binary response vector with covariates is obtained. The conditional distribution of each binary response given the other binary responses and the covariates is equivalent to a logistic regression. A simple condition on the regression parameters is necessary and sufficient for the conditional distributions to be compatible, that is, yield a multivariate distribution for the binary response vector. The multivariate model has a wide range of dependence structure for the binary response variables, so it is more generally applicable compared with previous conditional models. The model is applied to a data set from cardiac surgery.

Keywords: Logistic; regression; Compatibility; conditions; for; conditional; distributions; Exponential; family (search for similar items in EconPapers)
Date: 1996
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Citations: View citations in EconPapers (5)

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