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Can fit Indices be used to evaluate structural equation models?

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dc.contributor.author Corten, Irmgard W.
dc.contributor.author Saris, Willem E.
dc.contributor.author Satorra, Albert
dc.date.accessioned 2017-03-24T12:25:03Z
dc.date.available 2017-03-24T12:25:03Z
dc.date.issued 2009
dc.identifier.uri http://hdl.handle.net/10230/28307
dc.description.abstract In recent years, many different fit indices have been formulated as an alternative for the standard likelihood ratio test (LRT) of Structural Equation Models (SEM). These fit indices were developed to solve specific problems associated with the LRT namely, sensitivity to sample size; the problem that no SEM will ever be an exact representation of reality; and the problem of deviation from the assumptions of the standard test. There is, however, oneproblem related to using the LRT that has been largely ignored by the developers of fit indices and this is the LRT’s varying sensitivity to the different characteristics of a model and different types of error. Because of this problem, it is impossible to use the LRT to test the fit of models with a fixed critical value. Since most new fit indices are functions of the fitting function or the test statistic itself, it was expected that the fit indices would have the same sensitivity problems as the LRT statistic. In the present paper, we confirm this by means of a Monte Carlo experiment. We also show that fit indices do not provide a simple instrument to test the fit of models. We conclude that the current practice of evaluating the fit of a model on the basis of the value of fit index and a general specified threshold is not justified.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.relation.ispartofseries RECSM Working Paper Series;7
dc.rights This is an Open Access article distributed under the terms of the Creative Commons Attribution License Creative Commons Attribution 4.0 International, which permits unrestricted use, distribution and reproduction in any medium provided that the original work is properlyattributed.
dc.rights.uri http://creativecommons.org/licenses/by/4.0/
dc.title Can fit Indices be used to evaluate structural equation models?
dc.type info:eu-repo/semantics/workingPaper
dc.subject.keyword Structural Equation Models (SEM)
dc.subject.keyword Likelihood Ratio Test (LRT)
dc.subject.keyword Chisquare goodness-of-fit test
dc.subject.keyword Power
dc.subject.keyword Sensitivity analysis
dc.subject.keyword Goodness-of-fit indices
dc.rights.accessRights info:eu-repo/semantics/openAccess


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