Bayesian analysis for a skew extension of the multivariate null intercept measurement error model |
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Authors: | V G Cancho Reiko Aoki V H Lachos |
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Institution: | 1. Departamento de Matemática Aplicada e Estatística , ICMC-Universidade de S?o Paulo-S?o Carlos , S?o Carlos , SP , Brazil;2. Departamento de Estatística , Universidade Estadual de Campinas , Campinas , SP , Brazil |
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Abstract: | Skew-normal distribution is a class of distributions that includes the normal distributions as a special case. In this paper, we explore the use of Markov Chain Monte Carlo (MCMC) methods to develop a Bayesian analysis in a multivariate, null intercept, measurement error model R. Aoki, H. Bolfarine, J.A. Achcar, and D. Leão Pinto Jr, Bayesian analysis of a multivariate null intercept error-in-variables regression model, J. Biopharm. Stat. 13(4) (2003b), pp. 763–771] where the unobserved value of the covariate (latent variable) follows a skew-normal distribution. The results and methods are applied to a real dental clinical trial presented in A. Hadgu and G. Koch, Application of generalized estimating equations to a dental randomized clinical trial, J. Biopharm. Stat. 9 (1999), pp. 161–178]. |
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Keywords: | Skew-normal distribution Gibbs algorithm skewness multivariate null intercepts model measurement error |
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