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Mooijaart, Ab; Satorra, Albert – Psychometrika, 2009
In this paper, we show that for some structural equation models (SEM), the classical chi-square goodness-of-fit test is unable to detect the presence of nonlinear terms in the model. As an example, we consider a regression model with latent variables and interactions terms. Not only the model test has zero power against that type of…
Descriptors: Structural Equation Models, Geometric Concepts, Goodness of Fit, Models