Bayesian Structural Equation Modeling With Cross-Loadings and Residual Covariances: Comments on Stromeyer et al.
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.
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Sensitivity analysis was conducted by varying the informative priors in the BSEM analysis.
“Sensitivity analysis was conducted by varying the informative priors in the BSEM analysis [31].”
Free estimation of all cross-loadings between behavioral regulation subscales in ESEM provides a way to achieve greater precision in the estimation of multidimensional latent constructs.
“In ESEM models (Morin, Marsh, & Nagengast, 2013), all cross-loadings between the behavioral regulation subscales are freely estimated, based on accumulating statistical research evidence showing that this free estimation provides a way to achieve a greater level of precision in the estimation of multidimensional latent constructs (Asparouhov, Muthén, & Morin, 2015).”
From A test of work motivation profile similarity across four distinct samples of employees (2020) · cites this paper as Asparouhov, Muthén, & Morin, 2015
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References 17 · Cited by 340
- Authors
- Asparouhov, T., Muthén, B., & Morin, A. J. S.
- Affiliations
- Muthén & Muthén (United States) (US)
- Australian Catholic University (AU)
- Venue
- Journal of Management
- Publisher
- SAGE Publications
- Published
- 2015-06-30
- Volume
- 41
- Issue
- 6
- Pages
- 1561-1577
- ISSN
- 0149-2063 (ISSN-L)
- 1557-1211
- OpenAlex
- W2106337441
- Cited by
- 340
- References
- 17
- Citations by year
- 2026: 15 · 2025: 38 · 2024: 28 · 2023: 31 · 2022: 42 · 2021: 41 · 2020: 41 · 2019: 36 · 2018: 23 · 2017: 23 · 2016: 19 · 2015: 2
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Management (publishedVersion)
- Topics
- Social Sciences › Decision Sciences › Management Science and Operations Research › Psychometric Methodologies and Testing
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Distribution Estimation and Applications
- Keywords
- Bayesian structural equation modeling, Bayesian factor analysis, cross-loadings, residual covariance, prior specification, model selection, latent variable models
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