|Title||Bayesian variable selection in linear quantile mixed models for longitudinal data with application to macular degeneration.|
|Publication Type||Journal Article|
|Year of Publication||2020|
|Authors||Ji, Y, Shi, H|
|Keywords||Bayes Theorem, Computer Simulation, Datasets as Topic, Linear Models, Longitudinal Studies, Macular Degeneration|
This paper presents a Bayesian analysis of linear mixed models for quantile regression based on a Cholesky decomposition for the covariance matrix of random effects. We develop a Bayesian shrinkage approach to quantile mixed regression models using a Bayesian adaptive lasso and an extended Bayesian adaptive group lasso. We also consider variable selection procedures for both fixed and random effects in a linear quantile mixed model via the Bayesian adaptive lasso and extended Bayesian adaptive group lasso with spike and slab priors. To improve mixing of the Markov chains, a simple and efficient partially collapsed Gibbs sampling algorithm is developed for posterior inference. Simulation experiments and an application to the Age-Related Macular Degeneration Trial data to demonstrate the proposed methods.
|PubMed Central ID||PMC7588124|