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Research Articles

The Sensitivity of Bayesian Fit Indices to Structural Misspecification in Structural Equation Modeling

Pages 477-493 | Received 17 Jun 2023, Accepted 26 Aug 2023, Published online: 12 Oct 2023

References

  • Asparouhov, T., & Muthén, B. (2010). Bayesian analysis using Mplus: Technical implementation. Muthén & Muthén.
  • Asparouhov, T., & Muthén, B. (2021). Advances in Bayesian model fit evaluation for structural equation models. Structural Equation Modeling, 28, 1–14. https://doi.org/10.1080/10705511.2020.1764360
  • Browne, M. W., & Cudeck, R. (1992). Alternative ways of assessing model fit. Sociological Methods & Research, 21, 230–258. https://doi.org/10.1177/004912419202100200
  • Cain, M. K., & Zhang, Z. (2019). Fit for a Bayesian: An evaluation of PPP and DIC for structural equation modeling. Structural Equation Modeling, 26, 39–50. https://doi.org/10.1080/10705511.2018.1490648
  • Cao, C., Man, K., & Ge, Y. (2023). Revisiting the impact of measurement quality on targeted structural model fit indexes. Structural Equation Modeling, 30, 458–466. https://doi.org/10.1080/10705511.2022.2139262
  • Cohen, J. (1998). Statistical power analysis for the behavioral sciences. Lawrence Erlbaum.
  • Depaoli, S. (2013). Mixture class recovery in GMM under varying degrees of class separation: Frequentist versus bayesian estimation. Psychological Methods, 18, 186–219. https://doi.org/10.1037/A0031609
  • Edwards, K. D., & Konold, T. R. (2023). Impact of informative priors on model fit indices in bayesian confirmatory factor analysis. Structural Equation Modeling, 30, 272–283. https://doi.org/10.1080/10705511.2022.2126359
  • Garnier-Villarreal, M., & Jorgensen, T. D. (2020). Adapting fit indices for Bayesian structural equation modeling: Comparison to maximum likelihood. Psychological Methods, 25, 46–70. https://doi.org/10.1037/MET0000224
  • Gelman, A., Meng, X.-L., & Stern, H. (1996). Posterior predictive assessment of model fitness via realized discrepancies. Statistica Sinica, 6, 733–807. https://www.jstor.org/stable/24306036
  • Gelman, A., & Shalizi, C. R. (2013). Philosophy and the practice of Bayesian statistics. British Journal of Mathematical and Statistical Psychology, 66, 8–38. https://doi.org/10.1111/j.2044-8317.2011.02037.x
  • Geman, S., & Geman, D. (1984). Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images. IEEE Transactions on Pattern Analysis and Machine Intelligence, 6, 721–741. https://doi.org/10.1109/TPAMI.1984.4767596
  • Hallquist, M. N., & Wiley, J. F. (2018). MplusAutomation: An R package for facilitating large-scale latent variable analyses in Mplus. Structural Equation Modeling, 25, 621–638. https://doi.org/10.1080/10705511.2017.1402334
  • Hancock, G. R., & Mueller, R. O. (2011). The reliability paradox in assessing structural relations within covariance structure models. Educational and Psychological Measurement, 71, 306–324. https://doi.org/10.1177/0013164410384856
  • Hoofs, H., van de Schoot, R., Jansen, N. W. H., & Kant, I. (2018). Evaluating model fit in bayesian confirmatory factor analysis with large samples: Simulation study introducing the BRMSEA. Educational and Psychological Measurement, 78, 537–568. https://doi.org/10.1177/0013164417709314
  • Hu, L. T., & Bentler, P. M. (1999). Cutoff criteria for fit indexes in covariance structure analysis: Conventional criteria versus new alternatives. Structural Equation Modeling, 6, 1–55. https://doi.org/10.1080/10705519909540118
  • James, L., Mulaik, S., & Brett, J. M. (1982). Causal Analysis: Assumptions, Models, and Data. (Vol. 1). Sage Publications.
  • Kaplan, D., & Depaoli, S. (2012). Bayesian structural equation modeling. In Handbook of structural equation modeling (pp. 650–673). The Guilford Press.
  • Kline, R. B. (2016). Principles and practices of structural equation modelling. In Methodology in the social sciences (4th ed.). Guilford Press.
  • Lance, C. E., Beck, S. S., Fan, Y., & Carter, N. T. (2016). A taxonomy of path-related goodness-of-fit indices and recommended criterion values. Psychological Methods, 21, 388–404. https://doi.org/10.1037/MET0000068
  • Lee, S. Y., & Song, X. Y. (2004). Evaluation of the Bayesian and maximum likelihood approaches in analyzing structural equation models with small sample sizes. Multivariate Behavioral Research, 39, 653–686. https://doi.org/10.1207/S15327906MBR3904_4
  • Lee, S.-Y. (2007). Structural equation modeling: A Bayesian approach. John Wiley & Sons Ltd. https://doi.org/10.1002/9780470024737
  • Levy, R. (2011). Bayesian data–model fit assessment for structural equation modeling. Structural Equation Modeling: A Multidisciplinary Journal, 18, 663–685. https://doi.org/10.1080/10705511.2011.607723
  • MacCallum, R. (1986). Specification searches in covariance structure modeling. Psychological Bulletin, 100, 107–120. https://doi.org/10.1037/0033-2909.100.1.107
  • McDonald, R. P., & Ho, M. H. R. (2002). Principles and practice in reporting structural equation analyses. Psychological Methods, 7, 64–82. https://doi.org/10.1037/1082-989X.7.1.64
  • McNeish, D. (2016). On using Bayesian methods to address small sample problems. Structural Equation Modeling, 23, 750–773. https://doi.org/10.1080/10705511.2016.1186549
  • McNeish, D., & Hancock, G. R. (2018). The effect of measurement quality on targeted structural model fit indices: A comment on lance, beck, fan, and carter (2016). Psychological Methods, 23, 184–190. https://doi.org/10.1037/MET0000157
  • Muthén, L. K., & Muthén, B. O. (1998–2021). Mplus user’s guide (8th ed.). Muthen & Muthen.
  • Muthén, L. K., & Muthén, B. O. (2012). Statistical analysis with latent variables user’s guide (7th ed.). Muthén & Muthén. www.StatModel.com
  • O’Boyle, E. H., & Williams, L. J. (2011). Decomposing model fit: Measurement vs. theory in organizational research using latent variables. The Journal of Applied Psychology, 96, 1–12. https://doi.org/10.1037/A0020539
  • Palomo, J., Dunson, D. B., & Bollen, K. (2007). Bayesian structural equation modeling. In Handbook of latent variable and related models (pp. 163–188). Elsevier. https://doi.org/10.1016/B978-044452044-9/50011-2
  • Plummer, M. (2017). JAGS version 4.3.0 user manual. https://sourceforge.net/projects/mcmc-jags/files/Manuals/4.x/
  • R Core Team. (2021). R: A language and environment for statistical computing. R Foundation for Statistical Computing. https://www.R-project.org/
  • Raftery, A. E. (1992). Bayesian model selection in structural equation models. In K. A. Bollen & J. S. Long (Eds.), Testing structural equation models (pp. 163–180). SAGE.
  • Song, X. Y., & Lee, S. Y. (2012). Basic and advanced Bayesian structural equation modeling: With applications in the medical and behavioral sciences. Wiley Blackwell. https://doi.org/10.1002/9781118358887
  • Spiegelhalter, D. J., Best, N. G., Carlin, B. P., & Van Der Linde, A. (2002). Bayesian measures of model complexity and fit. Journal of the Royal Statistical Society Series B: Statistical Methodology, 64, 583–639. https://doi.org/10.1111/1467-9868.00353
  • Van de Schoot, R., Kaplan, D., Denissen, J., Asendorpf, J. B., Neyer, F. J., & van Aken, M. A. G. (2014). A gentle introduction to bayesian analysis: Applications to developmental research. Child Development, 85, 842–860. https://doi.org/10.1111/CDEV.12169
  • Winter, S. D., & Depaoli, S. (2022). Performance of model fit and selection indices for Bayesian structural equation modeling with missing data. Structural Equation Modeling, 29, 531–549. https://doi.org/10.1080/10705511.2021.2018656

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