Sensitivity of fit indices to model misspecification and model types

Multivariate Behavioral Research

Volumn 42, Issue 3, 2007, Pages 509-529

  Fan, Xitao ^a   Sivo, Stephen A ^b  

^a UNIVERSITY OF VIRGINIA   (United States)

^b UNIVERSITY OF CENTRAL FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 36048984166     PISSN: 00273171     EISSN: None     Source Type: Journal    
DOI: 10.1080/00273170701382864     Document Type: Article

References (21)

1. Breivik, E., & Olsson, U. H. (2001). Adding variables to improve fit: The effect of model size on fit assessment in LISREL. In R. Cudeck, S. Du Toit, & D. Sörbom (Eds.), Structural equation modeling: Present and future: A Festchrift in honour of Karl Jöreskog (pp. 169-194). Chicago: Scientific Software International.
2. Enders, C., & Finley, S. (2003, April). SEM Fit Index Criteria Re-Examined: An Investigation of ML and Robust Fit Indices in Complex Models. Paper presented at the annual meeting of the American Educational Research Association, Chicago, IL.
3. Fan, X., Felsovalyi, A., Sivo, S. A., & Keenan, S. (2002). SAS for Monte Carlo studies: A guide for quantitative researchers. Cary, NC: SAS Institute, Inc.
4. Fan, X., & Sivo, S. A. (2005). Sensitivity of Fit Indices to Misspecified Structural or Measurement Model Components: Rationale of Two-Index Strategy Revisited. Structural Equation Modeling, 12, 343-367.
5. Fan, X., Thompson, B., & Wang, L. (1999). The effects of sample size, estimation methods, and model specification on SEM fit indices. Structural Equation Modeling, 6, 56-83.
6. Fan, X., & Wang, L. (1998). Effects of potential confounding factors on fit indices and parameter estimates for true and misspecified SEM models. Educational and Psychological Measurement, 58, 699-733.
7. Gerbing, D. W. & Anderson, J. C. (1993). Monte Carlo evaluations of goodness-of-fit indices for structural equation models. In K. A. Bollen & J. S. Long, (Eds.), Testing structural equation models (pp. 40-59). Newbury Park, CA: SAGE Publications, Inc.
8. Hu, L., & Bender, P. M. (1998). Fit indices in covariance structure modeling: Sensitivity to under-parameterized model misspecification. Psychological Methods, 3, 424-453.
9. Hu, L., & Bentler, P. M. (1999). Cutoff criteria for fit indexes in covariance structure analysis: Conventional criteria versus new alternatives. Structural Equation Modeling, 6, 1-55.
10. Jöreskog, K., & Sörbom, D. (2001). LISREL 8: User's reference guide. Lincolnwood, IL: Scientific Software International, Inc.
11. Kaiser, H. F., & Dickman, K. (1962). Sample and population score matrices and sample correlation matrices from an arbitrary population correlation matrix, Psychometrika, 27, 179-182.
12. Kenny, D. A., & McCoach, D. B. (2003). Effect of the number of variables on measures of fit in structural equation modeling. Structural Equation Modeling, 10, 333-351.
13. Lykken, D. T. (1968). Statistical significance of psychological research. Psychological Bulletin, 70, 155-159.
14. Marsh, H. W., Baila, J. R., & Hau, K. T. (1996). En evaluation of incremental fit indices: A clarification of mathematical and empirical properties. In G. A. Marcoulides & R. E. Schumacker (Eds.), Advanced structural equation modeling: Issues and techniques (pp. 315-353). Erlbaum: Mahwah, NJ.
15. Marsh, H. W., Hau, K. T., & Wen, Z. (2004). In search of golden rules: Comment on hypothesis-testing approaches to setting cutoff values for fit indexes and dangers in overgeneralizing Hu and Bentle's (1999) findings. Structural Equation Modeling, 11, 320-341.
16. Saris, W. E., & Satorra, A. (1993). Power evaluations in structural equation models. In K. A. Bollen & J. S. Long (Eds.), Testing structural equation models (pp. 181-204). Newbury Park, CA: SAGE Publications.
17. Satorra, A., & Saris, W. E. (1983). The accuracy of a procedure for calculating the power of the likelihood ration test as used within the LISREL framework. In C. O. Middendorp (Ed.), Sociometric research 1982 (pp. 129-190). Amsterdam: Sociometric Research Foundations.
18. Sivo, S. A., Fan, X., Witta, E. L., & Willse, J. (2006). The search for "optimal" cutoff properties: Fit index criteria in structural equation modeling. Journal of Experimental Education, 74(3), 267-288.
19. Yu, C., & Muthén, B. (2002, April). Evaluation of the model fit indices for latent variable models with categorical and continuous outcomes. Paper presented at the annual meeting of the American Educational Research Association, New Orleans, LA.
20. Yuan, K.-H. (2005). Fit indices versus test statistics. Multivariate Behavioral Research, 40, 115-148.
21. Wheaton, D. E., Muthén, B., Alwin, D. F., & Summers, G. F. (1977). Assessing reliability and stability in panel models. In D. R. Heise (Ed.), Sociological methodology 1977 (pp. 84-136). San Francisco: Jossy-Bass.