Robust probit linear mixed models for longitudinal binary data

In this paper, we propose Bayesian analysis methods dealing with longitudinal data involving repeated binary outcomes on subjects with dropouts. The proposed Bayesian methods implement probit models with random effects to capture heterogeneity and hypersphere decomposition to model the correlation m...

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Bibliographic Details
Published in:Biometrical journal 2022-10, Vol.64 (7), p.1307-1324
Main Authors: Lee, Kuo‐Jung, Kim, Chanmin, Chen, Ray‐Bing, Lee, Keunbaik
Format: Article
Language:English
Subjects:
Algorithms
Bayesian analysis
Binary data
Computer simulation
Correlation analysis
correlation matrix
Heterogeneity
hypersphere decomposition
Hyperspheres
Markov chains
Mathematical models
MCMC
Missing data
Parameters
R package
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Summary:In this paper, we propose Bayesian analysis methods dealing with longitudinal data involving repeated binary outcomes on subjects with dropouts. The proposed Bayesian methods implement probit models with random effects to capture heterogeneity and hypersphere decomposition to model the correlation matrix for serial correlation of repeated responses. We investigate the model robustness against misspecifications of the probit models along with techniques to handle missing data. The parameters of the proposed models are estimated by implementing an Markov chain Monte Carlo (MCMC) algorithm, and simulations were performed to provide a comparison with other models and validate the choice of prior distributions. The simulations show that when suitable correlation structures are specified, the proposed approach improves estimation of the regression parameters in terms of the mean percent relative error and the mean squared error. Finally, two real data examples are provided to illustrate the proposed approach.
ISSN:0323-3847
1521-4036
DOI:10.1002/bimj.202100246