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      Structural Model Evaluation and Modification: An Interval Estimation Approach

      Multivariate Behavioral Research
      Informa UK Limited

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          Theoretical Statistics

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            Structural analysis of covariance and correlation matrices

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

              P. Bentler (1990)
              Certain aspects of model modification and evaluation are discussed, with an emphasis on some points of view that expand upon or may differ from Kaplan (1990). The usefulness of BentlerBonett indexes is reiterated. When degree of misspecification can be measured by the size of the noncentrality parameter of a x[SUP2] distribution, the comparative fit index provides a useful general index of model adequacy that does not require knowledge of sourees of misspecification. The dependence of the Lagrange Multiplier X[SUP2] statistic on both the estimated multiplier parameter and estimated constraint or parameter change is discussed. A sensitivity theorem that shows the effects of unit change in constraints on model fit is developed for model modification in structural models. Recent incomplete data methods, such as those developed by Kaplan and his collaborators, are extended to be applicable in a wider range of situations.
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                Author and article information

                Journal
                Multivariate Behavioral Research
                Multivariate Behavioral Research
                Informa UK Limited
                0027-3171
                1532-7906
                April 1990
                April 1990
                : 25
                : 2
                : 173-180
                Article
                10.1207/s15327906mbr2502_4
                26794479
                a9eb1d22-0ab9-492f-ae92-a98a2a148bed
                © 1990

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