2,288
Views
30
CrossRef citations to date
0
Altmetric
Teacher’s Corner

Model Fit Estimation for Multilevel Structural Equation Models

ORCID Icon, &

References

  • Akaike, H. (1987). Factor analysis and the AIC. Psychometrika, 52, 317–332. doi:10.1007/BF02294359
  • Barrett, P. (2007). Structural equation modelling: Adjudging model fit. Personality and Individual Differences, 42, 815–824. doi:10.1016/j.paid.2006.09.018
  • Bentler, P. M. (1980). Multivariate analysis with latent variables: Causal modeling. Annual Review of Psychology, 31, 419–456. doi:10.1146/annurev.ps.31.020180.002223
  • Bollen, K. A. (1990). Overall fit in covariance structure models: Two types of sample size effects. Psychological Bulletin, 107, 256–259. doi:10.1037/0033-2909.107.2.256
  • Box, G. E. P. (1976). Science and Statistics. Journal of the American Statistical Association, 71, 791. doi:10.1080/01621459.1976.10480949
  • Chen, F., Curran, P. J., Bollen, K. A., Kirby, J., & Paxton, P. (2008). An empirical evaluation of the use of fixed cutoff points in RMSEA test statistic in structural equation models. Sociological Methods and Research, 36, 462–494. doi:10.1177/0049124108314720
  • Curran, P. J., & Bauer, D. J. (2011). The disaggregation of within-Person and between-person effects in longitudinal models of change. Annual Review of Psychology, 62, 583–619. doi:10.1146/annurev.psych.093008.100356
  • Diener, E., & Emmons, R. A. (1985). The independence of positive and negative affect. Journal of Personality and Social Psychology, 47, 1105–1117. doi:10.1037/0022-3514.47.5.1105
  • Fan, X., & Wang, L. (1998). Effects of potential confounding factors on fit inidices and parameter estimates for true and misspecified SEM models. Educational and Psychological Mesaurement, 58, 701–735. doi:10.1177/0013164498058005001
  • Goldstein, H., & McDonald, R. P. (1988). A general model for the analysis of multilevel data. Psychometrika, 53, 455–467. doi:10.1007/BF02294400
  • Hoyle, R. H. (Ed.). (2012). Handbook of structural equation modeling. New York, NY: Guilford Press.
  • Hsu, H.-Y., Kwok, O., Lin, J. H., & Acosta, S. (2015). Detecting misspecified multilevel structural equation models with common fit indices: A Monte Carlo study. Multivariate Behavioral Research, 50, 197–215. doi:10.1080/00273171.2014.977429
  • Hu, L., & Bentler, P. M. (1998). Fit indices in covariance structure modeling: Sensitivity to underparameterized model misspecification. Psychological Methods, 3, 424. doi:10.1037/1082-989X.3.4.424
  • Kenny, D. A., Kashy, D. A., & Cook, W. L. (2006). Dyadic data analysis. New York, NY: Guilford Press.
  • Kim, E. S., Dedrick, R. F., Cao, C., & Ferron, J. M. (2016). Multilevel factor analysis: Reporting guidelines and a review of reporting practices. Multivariate Behavioral Research, 51, 881–898. doi:10.1080/00273171.2016.1228042
  • Lee, S.-Y. (1990). Multilevel analysis of structural equation models. Biometrika, 77, 763. doi:10.1093/biomet/77.4.763
  • Liang, J., & Bentler, P. M. (2004). An EM algorithm for fitting two-level structural equation models. Psychometrika, 69, 101–122. doi:10.1007/BF02295842
  • Marsh, H. W., Balla, J. R., & McDonald, R. P. (1988). Goodness-of-fit indexes in confirmatory factor analysis: The effect of sample size. Psychological Bulletin, 103, 391. doi:10.1037/0033-2909.103.3.391
  • Maydeu-Olivares, A., & Coffman, D. L. (2006). Random intercept item factor analysis. Psychological Methods, 11, 344–362. doi:10.1037/1082-989X.11.4.344
  • Mehta, P. D., & Neale, M. C. (2005). People are variables too: Multilevel structural equations modeling. Psychological Methods, 10, 259–284. doi:10.1037/1082-989X.10.3.259
  • Molenaar, P. C. (2004). A manifesto on psychology as idiographic science: Bringing the person back into scientific psychology, this time forever. Measurement, 2, 201–218.
  • Muthén, B. O. (1994). Multilevel covariance structure analysis. Sociological Methods and Research, 22, 376–398. doi:10.1177/0049124194022003006
  • Muthén, B. O., & Muthén, L. K. (1998). Mplus user’s guide (8th ed.). Los Angeles, CA: Muthén & Muthén.
  • Muthén, B. O., & Satorra, A. (1995). Complex sample data in structural equation modeling. Sociological Methodology, 25, 267. doi:10.2307/271070
  • Neale, M. C., Hunter, M. D., Pritikin, J. N., Zahery, M., Brick, T. R., Kickpatrick, R. M., … Boker, S. M. (2016). OpenMx 2.0: Extended structural equation and statistical modeling. Psychometrika, 81, 535–549. doi:10.1007/s11336-014-9435-8
  • Preacher, K. J., Zyphur, M. J., & Zhang, Z. (2010). A general multilevel SEM framework for assessing multilevel mediation. Psychological Methods, 15, 209–233. doi:10.1037/a0020141
  • Pritikin, J. N., Hunter, M. D., von Oertzen, T., Brick, T. R., & Boker, S. M. (2017). Many-level multilevel structural equation modeling: An efficient evaluation strategy. Structural Equation Modeling, 24, 684–698. doi:10.1080/10705511.2017.1293542
  • Pritikin, J. N., Rappaport, L. M., & Neale, M. C. (2017). Likelihood-based confidence intervals for a parameter with an upper or lower bound. Structural Equation Modeling, 24, 395–401. doi:10.1080/10705511.2016.1275969
  • R Core Team. (2015). R: A language and environment for statistical computing. Vienna, Austria: R Foundation for Statistical Computing.
  • Raudenbush, S. W., & Bryk, A. S. (2002). Hierarchical linear models: Applications and data analysis methods (2nd ed.). Thousand Oaks, CA: Sage Publications.
  • Revelle, W. (2015). psych: Procedures for personality and psychological research (Version 1.5.8). Evanston, IL: Northwestern University.
  • Ryu, E., & West, S. G. (2009). Level-specific evaluation of model fit in multilevel structural equation modeling. Structural Equation Modeling, 16, 583–601. doi:10.1080/10705510903203466
  • Steiger, J. H., Shapiro, A., & Browne, M. W. (1985). On the multivariate asymptotic distribution of sequential chi-square statistics. Psychometrika, 50, 253–263. doi:10.1007/BF02294104
  • Tellegen, A., Watson, D., & Clark, L. A. (1999). On the dimensional and hierarchical structure of affect. Psychological Science, 10, 297–303. doi:10.1111/1467-9280.00157
  • Watson, D., Clark, L. A., & Tellegen, A. (1988). Development and validation of brief measures of positive and negative affect: The PANAS scales. Journal of Personality and Social Psychology, 54, 1063–1070. doi:10.1037/0022-3514.54.6.1063
  • Yuan, K.-H., & Bentler, P. M. (2007). Multilevel covariance structure analysis by fitting multiple single-level models. Sociological Methodology, 37, 53–82. doi:10.1111/j.1467-9531.2007.00182.x

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.