Transcription of Deciding between competing models: Chi-square difference …
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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. g. in the followingsituations: The favorite model fits the data well, but there is a competing model based on different hy-potheses which may explain the observed relationships as well. If possible, this competingmodel should be rejected (it should fit the data worse compared to the favorite model ).
A decision between competing models may be clear-cut if there are completely obvious di erences in model t criteria, or if a parameter in question turns out to be both insigni cant (jtj< 1:96 ) and of marginal size (close to zero in the completely standardized solution). 1.
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