Comparative fit indexes in structural models
- PMID: 2320703
- DOI: 10.1037/0033-2909.107.2.238
Comparative fit indexes in structural models
Abstract
Normed and nonnormed fit indexes are frequently used as adjuncts to chi-square statistics for evaluating the fit of a structural model. A drawback of existing indexes is that they estimate no known population parameters. A new coefficient is proposed to summarize the relative reduction in the noncentrality parameters of two nested models. Two estimators of the coefficient yield new normed (CFI) and nonnormed (FI) fit indexes. CFI avoids the underestimation of fit often noted in small samples for Bentler and Bonett's (1980) normed fit index (NFI). FI is a linear function of Bentler and Bonett's non-normed fit index (NNFI) that avoids the extreme underestimation and overestimation often found in NNFI. Asymptotically, CFI, FI, NFI, and a new index developed by Bollen are equivalent measures of comparative fit, whereas NNFI measures relative fit by comparing noncentrality per degree of freedom. All of the indexes are generalized to permit use of Wald and Lagrange multiplier statistics. An example illustrates the behavior of these indexes under conditions of correct specification and misspecification. The new fit indexes perform very well at all sample sizes.
Similar articles
-
Advantages of Using Unweighted Approximation Error Measures for Model Fit Assessment.Psychometrika. 2023 Jun;88(2):413-433. doi: 10.1007/s11336-023-09909-6. Epub 2023 Apr 18. Psychometrika. 2023. PMID: 37071271 Free PMC article.
-
[Confirmatory factor analysis of the shortened dentine hypersensitivity experience questionnaire].Hua Xi Kou Qiang Yi Xue Za Zhi. 2018 Jun 1;36(3):267-270. doi: 10.7518/hxkq.2018.03.007. Hua Xi Kou Qiang Yi Xue Za Zhi. 2018. PMID: 29984926 Free PMC article. Review. Chinese.
-
Sensitivity of Fit Indices to Fake Perturbation of Ordinal Data: A Sample by Replacement Approach.Multivariate Behav Res. 2012 Jul;47(4):519-46. doi: 10.1080/00273171.2012.692616. Multivariate Behav Res. 2012. PMID: 26777668
-
Evaluation of the Chinese versions of the Minnesota nicotine withdrawal scale and the questionnaire on smoking urges-brief.Nicotine Tob Res. 2010 Jun;12(6):630-4. doi: 10.1093/ntr/ntq063. Epub 2010 May 24. Nicotine Tob Res. 2010. PMID: 20498226
-
[French validation of the Verona Service Satisfaction Scale-VSSS-54F].Encephale. 2003 Mar-Apr;29(2):110-8. Encephale. 2003. PMID: 14567162 French.
Cited by
-
Factor analysis of lifetime psychopathology and its brain morphometric and genetic correlates in a transdiagnostic sample.Transl Psychiatry. 2024 Jun 3;14(1):235. doi: 10.1038/s41398-024-02936-6. Transl Psychiatry. 2024. PMID: 38830892 Free PMC article.
-
Assessing pain severity and treatment outcomes in patients with low back pain: A Structural equation modeling approach at the center for the rehabilitation of the Paralysed, Bangladesh.PLoS One. 2024 May 31;19(5):e0303939. doi: 10.1371/journal.pone.0303939. eCollection 2024. PLoS One. 2024. PMID: 38820450 Free PMC article.
-
Differential Indirect Effects of Military Sexual Trauma on Posttraumatic Stress Disorder Symptom Clusters via Past-Year Intimate Partner Violence Experiences.Traumatology (Tallahass Fla). 2024 Mar;30(1):17-26. doi: 10.1037/trm0000242. Epub 2020 Feb 27. Traumatology (Tallahass Fla). 2024. PMID: 38818344
-
Burnout and Physical Activity as Predictors of Job Satisfaction Among Peruvian Nurses: The Job Demands-Resources Theory.J Prim Care Community Health. 2024 Jan-Dec;15:21501319241256265. doi: 10.1177/21501319241256265. J Prim Care Community Health. 2024. PMID: 38813978 Free PMC article.
-
Estimating statistical power for structural equation models in developmental cognitive science: A tutorial in R : Power simulation for SEMs.Behav Res Methods. 2024 May 28. doi: 10.3758/s13428-024-02396-2. Online ahead of print. Behav Res Methods. 2024. PMID: 38807007
Publication types
MeSH terms
Grants and funding
LinkOut - more resources
Full Text Sources
Other Literature Sources
Miscellaneous