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Deciding between competing models: Chi-square difference …

Introduction to Structural Equation Modeling with LISREL Version February Christina Werner and Prof. Dr. Karin Schermelleh-Engel goethe university , FrankfurtDeciding between competing Models: Chi-square difference Tests1 Research SituationUsing structural equation modeling to investigate a research question, the simplest strategywould involve constructing just a single model corresponding to the hypotheses, test it againstempirical data, and use a model fit test and other fit criteria to judge the underlying , frequently, it is not particularly satisfactory to analyze a single model, but moreappropriate to analyze severalcompeting modelsandcompare the results, e.

Dipl.-Psych. Christina Werner and Prof. Dr. Karin Schermelleh-Engel { Goethe University, Frankfurt Here, s denotes the \smaller" model with fewer parameters and therefore more degrees of free-dom, whereas l denotes the\larger"model with more parameters and therefore fewer degrees of freedom. This ˜2

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