Regression Models for Correlated Biliary Data with Random Effects Assuming a Mixture of Normal Distributions

Jorge Alberto Achcar, Vanderly Janeiro and Josmar Mazucheli
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Jorge Alberto Achcar: University of São Paulo
Vanderly Janeiro: State University of Maringa
Josmar Mazucheli: State University of Maringa

Computational Statistics, 2003, vol. 18, issue 1, No 3, 39-55

Abstract: Summary Binary responses are correlated when the sampling units are clustered or when repeated binary responses are taken on the same experiment unit. In this paper we present a Bayesian analysis of logistic regression models for correlated binary data with random effects. We assume that the random effects, namely αi, i = 1, …, n are draw from a mixture of normal distributions. This assumption gives a great flexibility of fit by correlated binary data. Considering Gibbs sampling with Metropolis-Hastings algorithms, we obtain Monte Carlo estimates for the posterior quantities of interest

Keywords: correlated binary data; logistic regression model; random effects; mixture of normal distributions (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/s001800300131

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