Evaluating the importance of individual parameters in structural equation modeling: The need for type I error control

Personality and Individual Differences

Volumn 29, Issue 3, 2000, Pages 567-577

  Cribbie, Robert A ^a  

^a UNIVERSITY OF MANITOBA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034259843     PISSN: 01918869     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0191-8869(99)00219-6     Document Type: Article

References (32)

1. Anderson J.C., Gerbing D.W. Structural equation modeling in practice: a review and recommended two-step approach. Psychological Bulletin. 103:1988;411-423.
2. Benjamini Y., Hochberg Y. Controlling the false discovery rate: a practical and powerful approach to multiple testing. Journal of the Royal Statistical Society B. 57:1995;289-300.
3. Benjamini, Y., Hochberg, Y. & Kling, Y. (1994). False discovery rate controlling procedures for pairwise comparisons. Unpublished manuscript.
4. Bentler P.M. EQS structural equations manual. 1989;BMDP Statistical Software, Los Angeles.
5. Biddle B.J., Marlin M.M. Causality, confirmation, credulity and structural equation modeling. Child Development. 58:1987;4-17.
6. Breckler S.J. Application of covariance structure modeling in psychology: cause for concern? Psychological Bulletin. 107:1990;260-273.
7. Chou C.-P., Bentler P.M. Model modification in covariance structure modeling: a comparison among likelihood ratio, Lagrange multiplier and Wald tests. Multivariate Behavioral Research. 25:1990;115-136.
8. Games P.A. Multiple comparisons of means. American Educational Research Journal. 8:1971;531-565.
9. Green S.B., Babyak M.A. Control of type I errors with multiple tests of constraints in structural equation modeling. Multivariate Behavioral Research. 32:1997;39-51.
10. Hancock, G. R. (in press). A sequential Scheffe-type respecification procedure for controlling type I error in exploratory structural equation model modification. Structural Equation Modeling: a Multidisciplinary Journal.
11. Hancock G.R., Klockars A.J. The quest for α: developments in multiple comparison procedures in the quarter century since Games. Review of Educational Research. 66:1996;269-306.
12. Hochberg Y. A sharper Bonferroni procedure for multiple tests of significance. Biometrika. 75:1988;800-802.
13. Hunter J.E., Gerbing D.W. Unidimensional measurement, second order factor analysis and causal models. Research in Organizational Behavior. 4:1982;267-320.
14. Hutchinson S.R. Univariate and multivariate specification search indices in covariance structure modeling. Journal of Experimental Education. 61:1993;171-181.
15. Joreskog K.G., Sorbom D. Lisrel VI users guide. 3rd ed. 1984;Scientific Software, Mooreville, IN.
16. Kaiser H.F., Dickman F. Sample and population score matrices and sample correlation matrices from an arbitrary correlation matrix. Psychometrika. 27:1962;179-182.
17. Kaplan D. The impact of specification error on the estimation, testing, and improvement of structural equation models. Multivariate Behavioral Research. 23:1988;69-86.
18. Kaplan D., Wenger R.N. Asymptotic independence and separability in covariance structure models: Implications for specification error, power and model modification. Multivariate Behavioral Research. 28:1993;467-482.
19. Keselman H.J., Cribbie R.A., Holland B. The pairwise multiple comparison multiplicity problem: an alternative approach to familywise and comparisonwise type I error control. Psychological Methods. 4:1999;58-69.
20. Kirk R.E. Experimental design: procedures for the behavioral sciences. 1995;Brooks/Cole, Toronto, Canada.
21. Lance C.E., Cornwell J.M., Mulaik S.A. Limited information parameter estimates for latent or mixed manifest and latent variable models. Multivariate Behavioral Research. 23:1988;171-187.
22. Lee S.-Y. On testing functional constraints in structural equation models. Biometrika. 57:1985;239-251.
23. Long J.S. Covariance structure models: an introduction to LISREL. 1983;Sage, Beverly Hills.
24. MacCallum R.C. Specification searches in covariance structure modeling. Psychological Bulletin. 100:1986;107-120.
25. MacCallum R.C. Model specification: procedure, strategies, and related issues. Hoyle R.H. Structural equation modeling: concepts, issues and applications. 1995;16-36 Sage, Newbury Park, CA.
26. MacCallum R.C., Roznowski M., Necowitz L.B. Model modifications in covariance structure analysis: the problem of capitalization on chance. Psychological Bulletin. 111:1992;490-504.
27. Martin J.A. Structural equation modeling: a guide for the perplexed. Child Development. 58:1987;33-37.
28. Shevlin M., Miles J.N.V. Effects of sample size, model specification and factor loadings on the GFI in confirmatory factor analysis. Personality and Individual Differences. 25:1998;85-90.
29. Silvia E.S.M., MacCallum R.C. Some factors affecting the success of specification searches in covariance structure modeling. Multivariate Behavioral Research. 23:1988;297-326.
30. Sorbom D. Model modification. Psychometrika. 54:1989;371-384.
31. Steiger J.H. Structural model evaluation and modification: an interval estimation approach. Multivariate Behavioral Research. 25:1990;173-180.
32. Wald A. Tests of statistical hypotheses concerning several parameters when the number of observations is large. Transactions of the American Mathematical Society. 54:1943;426-482.