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European Association of Methodology

Department of methodology and evaluation research

Jena University


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Contributions: Abstract

The assessment of fit in the class of structural equation models: A pathway out of the jungle of fit indexes

Wolfgang Langer
Martin-Luther-Universit├Ąt Halle
Germany

Since the early eightees many fit indices for structural equation models have been proposed and integrated in LISREL and AMOS since the beginning of the ninetees. Hayduk (1996) characterizes this developement as a plethora of new fit indices. The author gives an overview of the different principles in constructing fit indices, and the recommended rules of thumb to interpretate the fit measures.

Summarizing the results of Monte-Carlo simulation studies done by Gerbing & Andersonen (1993), Marsh, Balla & Hau (1996), Hu & Bentler (1995, 1998, 1999), it can be shown that a normed version of the Non-Normed-Fit-Index (Bentler & Burnett 1980), the Comparative Fit Index (Bentler 1990), and the Root Mean Square Error of Approximation (Steiger 1990) are the best and most reliable measures to evaluate the fit of a SEM.

Finally, the author demonstrates a strategy to assess the model fit using data of a survey of interethnic relationships.