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Bayesian Structural Equation Modeling With Cross-Loadings and Residual Covariances

Tihomir Asparouhov, Bengt Muthén, Alexandre J. S. Morin

Journal of Management · 2015 · Volume 41 · Issue 6

DOI: 10.1177/0149206315591075

Abstract

A recent article in the Journal of Management gives a critique of a Bayesian approach to factor analysis proposed in Psychological Methods. This commentary responds to the authors’ critique by clarifying key issues, especially the use of priors for residual covariances. A discussion is also presented of cross-loadings and model selection tools. Simulated data are used to illustrate the ideas. A reanalysis of the example used by the authors reveals a superior model overlooked by the authors.

Keywords

statistical methods, macro topics, measure development, research methods, psychometrics, structural equation modeling (SEM), Bayesian methods

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