Publications [#257931] of David B. Dunson
search arxiv.org.Papers Published
- O'Brien, SM; Dunson, DB. "Bayesian multivariate logistic regression.." Biometrics 60.3 (September, 2004): 739-746. [15339297], [doi]
(last updated on 2026/01/15)Abstract:
Bayesian analyses of multivariate binary or categorical outcomes typically rely on probit or mixed effects logistic regression models that do not have a marginal logistic structure for the individual outcomes. In addition, difficulties arise when simple noninformative priors are chosen for the covariance parameters. Motivated by these problems, we propose a new type of multivariate logistic distribution that can be used to construct a likelihood for multivariate logistic regression analysis of binary and categorical data. The model for individual outcomes has a marginal logistic structure, simplifying interpretation. We follow a Bayesian approach to estimation and inference, developing an efficient data augmentation algorithm for posterior computation. The method is illustrated with application to a neurotoxicology study.