Semiparametric Bayesian analysis of structural equation models with fixed covariates

Statistics in Medicine
Sik-Yum LeeXin-Yuan Song


Latent variables play the most important role in structural equation modeling. In almost all existing structural equation models (SEMs), it is assumed that the distribution of the latent variables is normal. As this assumption is likely to be violated in many biomedical researches, a semiparametric Bayesian approach for relaxing it is developed in this paper. In the context of SEMs with covariates, we provide a general Bayesian framework in which a semiparametric hierarchical modeling with an approximate truncation Dirichlet process prior distribution is specified for the latent variables. The stick-breaking prior and the blocked Gibbs sampler are used for efficient simulation in the posterior analysis. The developed methodology is applied to a study of kidney disease in diabetes patients. A simulation study is conducted to reveal the empirical performance of the proposed approach. Supplementary electronic material for this paper is available in Wiley InterScience at


Jan 1, 1992·Statistical Methods in Medical Research·P M Bentler, J A Stein
Sep 1, 1992·Psychological Bulletin·L T HuY Kano
May 1, 1984·The British Journal of Mathematical and Statistical Psychology·M W Browne
Apr 25, 2001·Biometrics·S Walker, B K Mallick
Jan 10, 2002·International Journal of Obesity and Related Metabolic Disorders : Journal of the International Association for the Study of Obesity·P J AndersonB Tomlinson
Jun 14, 2003·The British Journal of Mathematical and Statistical Psychology·Sik-Yum Lee, Xin-Yuan Song
Sep 16, 2003·Statistics in Medicine·Sik-Yum Lee, Xin-Yuan Song
Nov 25, 2003·The British Journal of Mathematical and Statistical Psychology·Irini Moustaki
Jun 3, 2004·The British Journal of Mathematical and Statistical Psychology·Xin-Yuan Song, Sik-Yum Lee
May 31, 2007·The British Journal of Mathematical and Statistical Psychology·M Knott, P Tzamourani

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Dec 2, 2008·The British Journal of Mathematical and Statistical Psychology·Ye-Mao XiaSik-Yum Lee
Jun 10, 2010·Biometrical Journal. Biometrische Zeitschrift·Xin-Yuan SongPing-Chung Leung
Aug 8, 2014·Frontiers in Psychology·Augustin Kelava, Holger Brandt
Apr 22, 2011·The British Journal of Mathematical and Statistical Psychology·Sy-Miin ChowHongtu Zhu

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