The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Sample Size and Bentler and Bonett's Nonnormed Fit Index
Abstract
Bentler and Bonett's nonnormed fit index is a widely used measure of goodness of fit for the analysis of covariance structures. This note shows that contrary to what has been claimed the nonnormed fit index is dependent on sample size. Specifically for a constant value of a fitting function, the nonnormed index is inversely related to sample size. A simple alternative fit measure is proposed that removes this dependency. In addition, it is shown that this new measure as well as the old nonnormed fit index can be applied to any fitting function that measures the deviation of the observed covariance matrix from the covariance matrix implied by the parameter estimates for a model.
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Citations
Cites
Significance tests and goodness of fit in the analysis of covariance structures.
Bentler, P. M., & Bonett, D. G. (1980) · Psychological Bulletin · doi:10.1037//0033-2909.88.3.588 · Cited by 19,023
A Reliability Coefficient for Maximum Likelihood Factor Analysis
Tucker, L. R., & Lewis, C. (1973) · Psychometrika · doi:10.1007/bf02291170 · Cited by 7,330
Anderson, J. C., & Gerbing, D. W. (1984) · Psychometrika · doi:10.1007/bf02294170 · Cited by 1,833
A statistical development of three‐mode factor analysis
Bentler, P. M., & Lee, S. (1979) · British Journal of Mathematical and Statistical Psychology · doi:10.1111/j.2044-8317.1979.tb00754.x · Cited by 60
Cited by
Hu, L., & Bentler, P. M. (1999) · Structural Equation Modeling A Multidisciplinary Journal · doi:10.1080/10705519909540118 · Cited by 108,788
Comparative fit indexes in structural models.
Bentler, P. M. (1990) · Psychological Bulletin · doi:10.1037/0033-2909.107.2.238 · Cited by 25,266
Evaluating Goodness-of-Fit Indexes for Testing Measurement Invariance
Cheung, G. W., & Rensvold, R. B. (2002) · Structural Equation Modeling: A Multidisciplinary Journal · doi:10.1207/s15328007sem0902_5 · Cited by 16,280
Hu, L.-T., & Bentler, P. M. (1998) · Psychological Methods · doi:10.1037/1082-989x.3.4.424 · Cited by 12,298
Reporting practices in confirmatory factor analysis: an overview and some recommendations
Jackson, D. L., Gillaspy, J. A., & Purc-Stephenson, R. (2009) · Psychological Methods · doi:10.1037/a0014694 · Cited by 2,242
Metadata
- Authors
- Bollen, K. A.
- Venue
- Psychometrika
- Publisher
- Cambridge University Press (CUP)
- Published
- 1986-09
- Volume
- 51
- Issue
- 3
- Pages
- 375-377
- ISSN
- 0033-3123 (ISSN-L)
- 1860-0980
- OpenAlex
- W1999821292
- Cited by
- 386
- References
- 4
- FWCI
- 6.97
- Type
- journal article
- Language
- en
- Open access
- closed
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