Fit Indexes, Lagrange Multipliers, Constraint Changes and Incomplete Data in Structural Models

Multivariate Behavioral Research

Volumn 25, Issue 2, 1990, Pages 163-172

  Bentler, P M ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84948882056     PISSN: 00273171     EISSN: 15327906     Source Type: Journal    
DOI: 10.1207/s15327906mbr2502_3     Document Type: Article

References (26)

1. Allison, P. D. (1987). Estimation of linear models with incomplete data. In C. Clogg (Ed.), Sociological Methodology 1987 (pp. 71–103). San Francisco: Jossey-Bass.
2. Arminger, G., & Schoenberg, R. J. (1989). Pseudo maximum likelihood estimation and a test for misspecification in mean and covariance structure models. Psychometrika, 54, 409–425.
3. Bentler, P. M. (1983). Some contributions to efficient statistics for structural models: Specification and estimation of moment structures. Psychometrika, 48, 493–517.
4. Bentler, P. M. (1985). Theory and implementation of EQS, a structural equations program. Los Angeles: BMDP Statistical Software.
5. Bentler, P. M. (1986). Lagrange Multiplier and Wald tests for EQS and EQS/PC. Los Angeles: MDP Statistical Software.
6. Bentler, P. M. (1989). EQS structural equations program manual. Los Angeles: BMDP Statistical Software.
7. Bentler, P. M. (1990). Comparative fit indexes in structural models. Psychological Bulletin, 107, 238–246.
8. Bentler, P. M., & Bonett, D. G. (1980). Significance tests and goodness of fit in the analysis of covariance structures. Psychological Bulletin, 88, 588–606.
9. Bentler, P. M., & Dijkstra, T. (1985). Efficient estimation via linearization in structural models. In P. R. Krishnaiah (Ed.), Multivariate analysis VI (pp. 9–42). Amsterdam: North Holland.
10. Bentler, P. M., & Mooijaart, A. (1989). Choice of structural model via parsimony: A rationale based on precision. Psychological Bulletin, 106, 315–317.
11. Bollen, K. A. (1989). A new incremental fit index for general structural equation models. Sociological Methods & Research, 17, 303–316.
12. Browne, M. W. (1984). Asymptotically distribution-free methods for the analysis of covariance structures. British Journal of Mathematical and Statistical Psychology, 37, 62–83.
13. de Leeuw, J. (1988). Model selection in multinomial experiments. In T. K. Dijkstra (Ed.), On model uncertainty and its statistical implications (pp. 118–138). New York: Springer-Verlag.
14. Jöreskog, K. G., & Sörbom, D. (1988). LISREL 7, A guide to the program and its applications. Chicago: SPSS.
15. Kaplan, D. (1990). Evaluating and modifying covariance structure models: A review and recommendation. Multivariate Behavioral Research, 25, 137–155.
16. Lee, S. -Y., & Bentler, P. M. (1980). Some asymptotic properties of constrained generalized least squares estimation in covariance structure models. South African Statistical Journal, 14, 121–136.
17. Luenberger, D. G. (1984). Linear and nonlinear programming. Reading, MA: Addison-Wesley.
18. Mulaik, S. A., James, L. R., Van Alstine, J., Bennett, N., Lind, S., & Stillwell, C. D. (1989). Evaluation of goodness-of-fit indices for structural equation models. Psychological Bulletin, 105, 430–445.
19. Muthèn, B., Kaplan, D., & Hollis, M. (1987). On structural equation modeling with data that are not missing completely at random. Psychometrika, 52, 431–462.
20. Saris, W. E., den Ronden, J., & Satorra, A. (1987). Testing structural equation models. In P. Cuttance & R. Ecob (Eds.), Structural modeling by example (pp. 202–220). New York: Cambridge.
21. Saris, W. E., Satorra, A., & Sörbom, D. (1987). The detection and correction of specification errors in structural equation models. In C. Clogg (Ed.), Sociological methodology 1987 (pp. 105–129). San Francisco: Jossey-Bass.
22. Satorra, A. (1989). Alternative test criteria in covariance structure analysis: A unified approach. Psychometrika, 54, 131–151.
23. Satorra, A., & Bentler, P. M. (1988). Scaling corrections for chi-square statistics in covariance structure analysis. Proceedings of the American Statistical Association, 308–313.
24. Sörbom, D. (1989). Model modification. Psychometrika, 54, 371–384.
25. Tanaka, J. S., & Huba, G. J. (1985). A fit index for covariance structure models under arbitrary GLS estimation. British Journal of Mathematical and Statistical Psychology, 38, 197–201.
26. Tucker, L. R., & Lewis, C. (1973). A reliability coefficient for maximum likelihood factor analysis. Psychometrika, 38, 1–10.