The search for "optimal" cutoff properties: Fit index criteria in structural equation modeling

Journal of Experimental Education

Volumn 74, Issue 3, 2006, Pages 267-288

  Sivo, Stephen A ^a   Xitao, F A N ^b   Witta, E Lea ^a   Willse, John T ^c  

^a UNIVERSITY OF CENTRAL FLORIDA   (United States)

^b UNIVERSITY OF VIRGINIA   (United States)

^c UNIVERSITY OF NORTH CAROLINA AT GREENSBORO   (United States)

Author keywords

Cut off values; Fit indexes; Model fit; Structural equation modeling

Indexed keywords

EID: 33749397397     PISSN: 00220973     EISSN: None     Source Type: Journal    
DOI: 10.3200/JEXE.74.3.267-288     Document Type: Article

References (22)

1. Bentler, P. M. (1984). EQS, structural equations, program manual: Version 3.0. Los Angeles: BMDP Statistical Software, Inc.
2. Bentler, P. M., & Bonett, D. G. (1980). Significance tests and goodness of fit in the analysis of covariance structures. Psychological Bulletin, 88, 588-606.
3. Bollen, K. A. (1986). Sample size and Bentler and Bonett's nonnormed fit index. Psychometrika, 51, 375-377.
4. Bollen, K. A. (1989). A new incremental fit index for general structural equation models. Sociological Methods and Research, 17, 303-316.
5. Cudeck, R., & Henly, S. J. (1991). Model selection in covariancc structure analysis and the "problem" of sample size. Psychological Bulletin, 109, 512-519.
6. Fan, X., Felsovalyi, A., Sivo, S. A., & Keenan, S. (2002). SAS for Monte Carlo studies: A guide for quantitative researchers. Cary, NC: SAS Institute.
7. Fan, X., & Sivo, S. (2005). Sensitivity of fit indexes to misspecified structural or measurement model components: Rationale of two-index strategy revisited. Structural Equation Modeling, 12, 343-367.
8. Fan, X., Thompson, B., & Wang, L. (1999). Effects of sample size, estimation, methods, and model specification on structural equation modeling fit indexes. Structural Equation Modeling, 6, 56-83.
9. Gerbing, D. W., & Anderson, J. C. (1993). Monte Carlo evaluations of goodness-of-fit indexes for structural equation models. In K. A. Bollen & J. S. Long (Eds.), Testing structural equation models (pp. 40-65). Newbury Park, CA: Sage.
10. Hu, L., & Bentler, P, M. (1999). Cutoff criteria for fit indexes in covariancc structure analysis: Conventional criteria versus new alternatives. Structural Equation Modeling, 6, 1-55.
11. Hu, L., Bentler, P. M., & Kano, Y. (1992). Can test statistics in covariance structure analysis be trusted. Psychological Bulletin, 112, 351-362.
12. Kim, K. H. (2005). The relation among fit indexes, power, and sample size in structural equation modeling. Structural Equation Modeling, 12, 368-390.
13. Marsh, H. W., Balla, J. R., & McDonald, R. P. (1988). Goodness-of-fit in confirmatory factor analysis: The effect of sample size. Psychological Bulletin, 103, 391-410.
14. 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 Bentler's (1999) findings. Structural Equation Modeling, 11, 320-341.
15. McDonald, R. P., & Hartmann, W. (1992). A procedure for obtaining initial values of parameters in the RAM model. Multivariate Behavioral Research, 27, 57-176.
16. McDonald, R. P., & Marsh, H. W. (1990). Choosing a multivariate model: Noncentrality and goodness of fit. Psychological Bulletin, 107, 247-255.
17. Mulaik, S, A., James, L. R., Van Alstine, J., Bennett, N., Lind, S., & Stilwell, C. D. (1989). Evaluation of goodness-of-fit indexes for structural equation models. Psychological Bulletin, 105, 430-445.
18. SAS Institute. (1996). SAS System (Version 6.12) (computer software). Cary, NC: Author.
19. Tanaka, J. S. (1993). Multifaceted conceptions of fit in structural equation models. In K. A. Bollen & J. S. Long (Eds.), Testing structural equation models (pp. 10-39). Newbury Park, CA: Sage.
20. Thompson, B. (2004). Exploratory and confirmatory factor analysis: Understanding concepts and applications. Washington, DC: American Psychological Association.
21. Tucker, L. R., & Lewis, C. (1973). A reliability coefficient for maximum likelihood factor analysis, Psychometrika, 38, 1-10.
22. Williams, L. J., Bozdogan, H., & Aiman-Smith, L. (1996). Inference problems with equivalent models. In G. A. Marcoulides & R. E. Schumacker (Eds.), Advanced structural equation modeling: Issues and techniques (pp. 279-314). Hillsdale, NJ: Erlbaum.