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A semiparametric Bayesian approach to binomial distribution logistic mixed-effects models for longitudinal data

Logistic mixed-effects models are widely used to study the relationship between the binary response and covariates for longitudinal data analysis, where the random effects are typically assumed to have a fully parametric distribution. As this assumption is likely limited or unreasonable in a multitu...

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Bibliographic Details
Published in:Journal of statistical computation and simulation 2022-05, Vol.92 (7), p.1438-1456
Main Authors: Zhao, Yuanying, Xu, Dengke, Duan, Xingde, Du, Jiang
Format: Article
Language:English
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Summary:Logistic mixed-effects models are widely used to study the relationship between the binary response and covariates for longitudinal data analysis, where the random effects are typically assumed to have a fully parametric distribution. As this assumption is likely limited or unreasonable in a multitude of practical researches, a semiparametric Bayesian approach for relaxing it is developed in this paper. In the context of binomial distribution logistic mixed-effects models, a general Bayesian framework is presented in which a semiparametric hierarchical modelling with an approximate truncated Dirichlet process prior distribution is specified for the random effects. The stick-breaking prior and the blocked Gibbs sampler using Pólya-Gamma mixture are employed to efficiently sample in the posterior analysis. Besides, a procedure calculating DIC for Bayesian model comparison is addressed. The methodology is demonstrated through simulation studies and a real example.
ISSN:0094-9655
1563-5163
DOI:10.1080/00949655.2021.1998500