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Please use this identifier to cite or link to this item: http://hdl.handle.net/10204/3920

Title: Bayesian structural equations modeling for ordinal response data with missing responses and missing covariates
Authors: Kim, S
Das, S
Chen, M-H
Warren, N
Keywords: Deviance information criteria
Latent variable
Markov chain Monte Carlo
Ordinal response data
Random effects
Veterans health administration
Issue Date: Jan-2009
Publisher: Taylor & Francis
Citation: Kim, S, Das, S et al. 2009. Bayesian structural equations modeling for ordinal response data with missing responses and missing covariates. Communications in statistics - Theory and methods, Vol.38(16-17), pp 2748 - 2768
Abstract: Structural equations models (SEMs) have been extensively used to model survey data arising in the fields of sociology, psychology, health, and economics with increasing applications where self assessment questionnaires are the means to collect the data. We propose the SEM for multilevel ordinal response data from a large multilevel survey conducted by the US Veterans Health Administration (VHA). The proposed model involves a set of latent variables to capture dependence between different responses, a set of facility level random effects to capture facility heterogeneity and dependence between individuals within the same facility, and a set of covariates to account for individual heterogeneity. An effective and practically useful modelling strategy is developed to deal with missing responses and to model missing covariates in the structural equations framework. A Markov chain Monte Carlo sampling algorithm is developed for sampling from the posterior distribution. The deviance information criterion measure is used to compare several variations of the proposed model. The proposed methodology is motivated and illustrated by using the VHA All Employee Survey data.
Description: Copyright: 2009 Taylor & Francis. This is the pre print version of the work. It is posted here by permission of Taylor & Francis for your personal use. Not for redistribution. The definitive version was published in the Journal of Communications in statistics - Theory and methods, Vol.38(16-17), pp 2748 - 2768
URI: http://hdl.handle.net/10204/3920
ISSN: 0361-0926
Appears in Collections:Infrastructure systems and operations
Analytical science
Logistics and quantitative methods
Planning support systems
General science, engineering & technology

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