Bayesian Structural Equation Modeling (BSEM)

BSEM Theory

• Asparouhov, T, & Muthén, B. (2017). Prior-posterior predictive P-values. Mplus Web Notes: No. 22. April 27, 2017. Version 2. Download Mplus analyses.
  
  
• Hoijtink, H. & van de Schoot, R. (2017). Testing small variance priors using prior-posterior predictive P-values. Psychological Methods 23(3), 561-569. DOI: 10.1037/met0000131.
  
  
• Asparouhov, T., Muthén, B. & Morin, A. J. S. (2015). Bayesian structural equation modeling with cross-loadings and residual covariances: Comments on Stromeyer et al. Journal of Management, 41, 1561-1577.
  
  
• Muthén, B. & Asparouhov, T. (2013). BSEM measurement invariance analysis. Mplus Web Notes: No. 17. January 11, 2013.
  
  
• Muthén, B. & Asparouhov, T. (2012). Bayesian SEM: A more flexible representation of substantive theory. Psychological Methods, 17, 313-335. Download the 2nd version dated April 14, 2011. Download webtables referred to in the paper, and Mplus inputs, data, and outputs used in this version of paper. Download the 1st version dated September 29, 2010 containing a MIMIC section and more tables, and the corresponding Mplus inputs, data, and outputs. The seven web tables correspond to tables 8, 10, 17, 18, 19, 20, and 21 of the first version.
  
  

BSEM Applications

• Dombrowski, S.C., Golay, P., McGill, R.J., & Canivez, G.L. (2017). Investigating the theoretical structure of the DAS-II core battery at school age using Bayesian structural equation modeling. Psychology in the Schools 55, 190-207. DOI:10.1002/pits.22096
  
  
• De Bondt, N., & Van Petegem, P. (2015). Psychometric evaluation of the overexcitability questionnaire-two applying Bayesian structural equation modeling (BSEM) and multiple-Group BSEM-based alignment with approximate measurement invariance. Frontiers in Psychology 6:1963. DOI: 10.3389/fpsyg.2015.01963
  
  
• Zercher F., Schmidt P., Cieciuch J. & Davidov E. (2015). The comparability of the universalism value over time and across countries in the European Social Survey: exact vs. approximate measurement invariance. Frontiers in Psychology. 6:733. DOI: 10.3389/fpsyg.2015.00733
  
  
• Fong, T. C. T., & Ho, R. T. H. (2013). Factor analyses of the Hospital Anxiety and Depression Scale: A Bayesian structural equation modeling approach. Quality of Life Research: An International Journal of Quality of Life Aspects of Treatment, Care & Rehabilitation, 22(10), 2857–2863. DOI: 10.1007/s11136-013-0429-2
  
  
• van de Schoot, R., Tummers, L., Lugtig, P., Kluytmans, A., Hox, J. & Muthén, B. (2013). Choosing between Scylla and Charybdis? A comparison of scalar, partial and the novel possibility of approximate measurement invariance. Frontiers in Psychology, 4, 1-15. DOI: 10.3389/fpsyg.2013.00770.
  
  
• Zyphur, M & Oswald, F. (2013). Bayesian Estimation and Inference: A User's Guide. Journal of Management, 41(2), 390–420. DOI: 10.1177/0149206313501200
  
  
• Golay, P., Reverte, I., Rossier, J., Favez, N., & Lecerf, T. (2012). . Psychological Assessment, 25(2):496-508. DOI: 10.1037/a0030676
  
  

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