A Bayesian structural equations model for multilevel data with missing responses and missing covariates

Copyright: 2008 Internation Society for Bayesian Analysis. This is the author's pre print version of the work. The definitive version is published in Bayesian Analysis, Vol 3(1), pp 197-224

[1]  C. Robert,et al.  Deviance information criteria for missing data models , 2006 .

[2]  Joseph G. Ibrahim,et al.  A conditional model for incomplete covariates in parametric regression models , 1996 .

[3]  D. Rubin,et al.  Statistical Analysis with Missing Data. , 1989 .

[4]  Karl G. Jöreskog,et al.  Lisrel 8: Structural Equation Modeling With the Simplis Command Language , 1993 .

[5]  Bradley P. Carlin,et al.  Bayesian measures of model complexity and fit , 2002 .

[6]  Joseph G. Ibrahim,et al.  Missing covariates in generalized linear models when the missing data mechanism is non‐ignorable , 1999 .

[7]  L. Ryan,et al.  Latent variable models with fixed effects. , 1996, Biometrics.

[8]  Adrian F. M. Smith,et al.  Sampling-Based Approaches to Calculating Marginal Densities , 1990 .

[9]  D. Rubin.  INFERENCE AND MISSING DATA , 1975 .

[10]  W. Michael Conklin,et al.  Monte Carlo Methods in Bayesian Computation , 2001, Technometrics.

[11]  P. Shekelle,et al.  Comparison of Quality of Care for Patients in the Veterans Health Administration and Patients in a National Sample , 2004, Annals of Internal Medicine.

[12]  J. Loehlin.  Latent variable models , 1987 .

[13]  Jian Qing Shi,et al.  Maximum Likelihood Estimation of Two‐Level Latent Variable Models with Mixed Continuous and Polytomous Data , 2001 .

[14]  L. Ryan,et al.  Latent Variable Models for Mixed Discrete and Continuous Outcomes , 1997 .

[15]  W. Gilks,et al.  Adaptive Rejection Sampling for Gibbs Sampling , 1992 .

[16]  R. Scheines,et al.  Bayesian estimation and testing of structural equation models , 1999 .

[17]  B. Muthén.  BEYOND SEM: GENERAL LATENT VARIABLE MODELING , 2002 .

[18]  A. Jha,et al.  Effect of the transformation of the Veterans Affairs Health Care System on the quality of care. , 2003, The New England journal of medicine.

[19]  Kenneth A. Bollen,et al.  Total, Direct, and Indirect Effects in Structural Equation Models , 1987 .

[20]  S. Kaplan,et al.  Creating a Culture of Quality: The Remarkable Transformation of the Department of Veterans Affairs Health Care System , 2004, Annals of Internal Medicine.

[21]  Xin-Yuan Song,et al.  Bayesian model comparison of nonlinear structural equation models with missing continuous and ordinal categorical data. , 2004, The British journal of mathematical and statistical psychology.

[22]  Kenneth A. Bollen,et al.  Structural Equations with Latent Variables , 1989 .

[23]  C. Heckler.  A Step-by-Step Approach to Using the SAS™ System for Factor Analysis and Structural Equation Modeling , 1996 .

[24]  Sik-Yum Lee,et al.  Maximum Likelihood Analysis of a General Latent Variable Model with Hierarchically Mixed Data , 2004, Biometrics.

[25]  Joseph G Ibrahim,et al.  Bayesian Analysis for Generalized Linear Models with Nonignorably Missing Covariates , 2005, Biometrics.

[26]  Michael J. Zyphur,et al.  Generalized Multilevel Structural Equation Modeling for Research in Organizations: (518572013-162) , 2006 .

[27]  M. Veloso,et al.  Latent Variable Models , 2019, Statistical and Econometric Methods for Transportation Data Analysis.

[28]  Kamel Jedidi,et al.  A Hierarchical Bayesian Methodology for Treating Heterogeneity in Structural Equation Models , 2000 .

[29]  A. Gelman.  Prior distributions for variance parameters in hierarchical models (comment on article by Browne and Draper) , 2004 .

[30]  D. Hibbs.  On analyzing the effects of policy interventions : Box-Jenkins and Box-Tiao vs. structural equation models , 1977 .

[31]  D B Dunson,et al.  Factor Analytic Models of Clustered Multivariate Data with Informative Censoring , 2001, Biometrics.

[32]  D. Dunson,et al.  Bayesian latent variable models for clustered mixed outcomes , 2000 .

[33]  Rajiv D. Banker,et al.  Reporting manufacturing performance measures to workers: An empirical study , 1993 .

[34]  Sik-Yum Lee,et al.  Bayesian analysis of two-level nonlinear structural equation models with continuous and polytomous data. , 2004, The British journal of mathematical and statistical psychology.

[35]  H. Akaike,et al.  Information Theory and an Extension of the Maximum Likelihood Principle , 1973 .

[36]  G. Schwarz.  Estimating the Dimension of a Model , 1978 .

[37]  B. Carlin,et al.  Markov Chain Monte Carlo conver-gence diagnostics: a comparative review , 1996 .

[38]  K. Bollen.  Latent variables in psychology and the social sciences. , 2002, Annual review of psychology.

[39]  Ulrich Küsters,et al.  Latent Trait Models with Indicators of Mixed Measurement Level , 1988 .

[40]  Joseph G Ibrahim,et al.  Theory and Inference for Regression Models with Missing Responses and Covariates. , 2008, Journal of multivariate analysis.