Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/74332
Type: Artigo
Title: Skew-normal/independent linear mixed models for censored responses with applications to HIV viral loads
Author: Bandyopadhyay, Dipankar
Lachos, Victor H.
Castro, Luis M.
Dey, Dipak K.
Abstract: Often in biomedical studies, the routine use of linear mixed-effects models (based on Gaussian assumptions) can be questionable when the longitudinal responses are skewed in nature. Skew-normal/elliptical models are widely used in those situations. Often, those skewed responses might also be subjected to some upper and lower quantification limits (QLs; viz., longitudinal viral-load measures in HIV studies), beyond which they are not measurable. In this paper, we develop a Bayesian analysis of censored linear mixed models replacing the Gaussian assumptions with skew-normal/independent (SNI) distributions. The SNI is an attractive class of asymmetric heavy-tailed distributions that includes the skew-normal, skew-t, skew-slash, and skew-contaminated normal distributions as special cases. The proposed model provides flexibility in capturing the effects of skewness and heavy tail for responses that are either left- or right-censored. For our analysis, we adopt a Bayesian framework and develop a Markov chain Monte Carlo algorithm to carry out the posterior analyses. The marginal likelihood is tractable, and utilized to compute not only some Bayesian model selection measures but also case-deletion influence diagnostics based on the KullbackLeibler divergence. The newly developed procedures are illustrated with a simulation study as well as an HIV case study involving analysis of longitudinal viral loads.
Often in biomedical studies, the routine use of linear mixed-effects models (based on Gaussian assumptions) can be questionable when the longitudinal responses are skewed in nature. Skew-normal/elliptical models are widely used in those situations. Often,
Subject: Inferência bayesiana
HIV (Vírus)
Modelos lineares (Estatística)
Distribuição normal assimétrica
Country: Alemanha
Editor: Wiley
Citation: Biometrical Journal. Wiley-blackwell, v. 54, n. 3, n. 405, n. 425, 2012.
Rights: fechado
Identifier DOI: 10.1002/bimj.201000173
Address: https://onlinelibrary.wiley.com/doi/full/10.1002/bimj.201000173
Date Issue: 2012
Appears in Collections:IMECC - Artigos e Outros Documentos

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