Sample size and bentler and Bonett's nonnormed fit index
- Kenneth A. Bollen
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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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- Sample size and bentler and Bonett's nonnormed fit index
Volume 51, Issue 3 , pp 375-377
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- nonnormed fit index
- goodness of fit
- analysis of covariance structures
- Industry Sectors
- Author Affiliations
- 1. Department of Sociology, University of North Carolina, Hamilton Hall 070A, 27514, Chapel Hill, NC