Bayesian analysis of structural equation models with dichotomous variables

Statistics in Medicine
Sik-Yum Lee, Xin-Yuan Song


Structural equation modelling has been used extensively in the behavioural and social sciences for studying interrelationships among manifest and latent variables. Recently, its uses have been well recognized in medical research. This paper introduces a Bayesian approach to analysing general structural equation models with dichotomous variables. In the posterior analysis, the observed dichotomous data are augmented with the hypothetical missing values, which involve the latent variables in the model and the unobserved continuous measurements underlying the dichotomous data. An algorithm based on the Gibbs sampler is developed for drawing the parameters values and the hypothetical missing values from the joint posterior distributions. Useful statistics, such as the Bayesian estimates and their standard error estimates, and the highest posterior density intervals, can be obtained from the simulated observations. A posterior predictive p-value is used to test the goodness-of-fit of the posited model. The methodology is applied to a study of hypertensive patient non-adherence to medication.


Jan 1, 1992·Statistical Methods in Medical Research·P M Bentler, J A Stein
Dec 8, 2000·The British Journal of Mathematical and Statistical Psychology·S Y Lee, H T Zhu
Jul 27, 2001·Statistics in Medicine·J M Batista-FoguetM A Ferragud
Jan 31, 2002·The British Journal of Mathematical and Statistical Psychology·X Y Song, S Y Lee
Jun 1, 1984·IEEE Transactions on Pattern Analysis and Machine Intelligence·S Geman, D Geman
Oct 1, 2002·Multivariate Behavioral Research·Xin-Yuan Song, Sik-Yum Lee

❮ Previous
Next ❯


Jun 1, 1981·Archives of Sexual Behavior·P M Bentler, P R Abramson
Oct 29, 2010·Proceedings. Biological Sciences·M J DenwoodS W J Reid
Dec 16, 2005·The AAPS Journal·Leslie A KennaMarc Pfister
Oct 13, 2010·Journal of Periodontology·Michiko FurutaManabu Morita
Sep 16, 2009·Therapeutics and Clinical Risk Management·Jiannong LiuAllan Collins
Jul 5, 2011·Research in Developmental Disabilities·For-Wey LungMeng-Chih Lee
May 12, 2007·Statistics in Medicine·Peter CongdonRaymond Ellerman
Sep 2, 2006·Statistics in Medicine·Deborah Ashby
Nov 17, 2007·Statistics in Medicine·Sik-Yum LeeXin-Yuan Song
Mar 31, 2015·Journal of the American Society of Hypertension : JASH·William J Elliott
Aug 27, 2014·Drug and Alcohol Dependence·Galina KirillovaMichael Vanyukov
Sep 1, 2006·Multivariate Behavioral Research·Xin-Yuan Song, Sik-Yum Lee
Dec 22, 2011·Asia-Pacific Journal of Public Health·Masayuki UenoYoko Kawaguchi
Jul 2, 2008·The British Journal of Mathematical and Statistical Psychology·Sik-Yum LeeChung-Ngor Juliana Chan
Sep 24, 2020·Animals : an Open Access Journal From MDPI·Carlos Iglesias PastranaJuan Vicente Delgado Bermejo
Feb 8, 2021·The British Journal of Mathematical and Statistical Psychology·Xue Zhang, Chun Wang

❮ Previous
Next ❯

Related Concepts

Related Feeds

Antihypertensive Agents: Mechanisms of Action

Antihypertensive drugs are used to treat hypertension (high blood pressure) which aims to prevent the complications of high blood pressure, such as stroke and myocardial infarction. Discover the latest research on antihypertensive drugs and their mechanism of action here.