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A Bayesian analysis of clustered discrete and continuous outcomes
Authors:Dale Bowman  E Olusegun George
Institution:Department of Mathematical Sciences, The University of Memphis, Memphis, TN, USA
Abstract:Many study designs yield a variety of outcomes from each subject clustered within an experimental unit. When these outcomes are of mixed data types, it is challenging to jointly model the effects of covariates on the responses using traditional methods. In this paper, we develop a Bayesian approach for a joint regression model of the different outcome variables and show that the fully conditional posterior distributions obtained under the model assumptions allow for estimation of posterior distributions using Gibbs sampling algorithm.
Keywords:Mixed regression models  latent variables  Gibbs sampling  Bayesian analysis  risk analysis
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