Bayesian analysis of latent variable models with non-ignorable missing outcomes from exponential family.
To provide a comprehensive framework for analysing complex non-normal medical and biological data, we propose a Bayesian approach for a non-linear latent variable model with covariates, and non-ignorable missing data, under the exponential family of distributions. The non-ignorable missing mechanism is defined via a logistic regression model. Based on conjugate prior distributions, full conditional distributions for the implementation of Markov chain Monte Carlo methods in simulating observations from the joint posterior distribution are derived. These observations are used in computing the Bayesian estimates, as well as in implementing a path sampling procedure to evaluate the Bayes factor for model comparison. The proposed methods are illustrated using real data from a study on the non-adherence of hypertension patients.
Song
Xin-Yuan
XY
Department of Statistics, The Chinese University of Hong Kong, Hong Kong.
Lee
Sik-Yum
SY
D000959:Antihypertensive Agents / Q000627:therapeutic use; D001499:Bayes Theorem; D003627:Data Interpretation, Statistical; D006801:Humans; D006973:Hypertension / Q000188:drug therapy; D016015:Logistic Models; D010349:Patient Compliance
D000959:Antihypertensive Agents