Original paper

On Insensitivity of the Chi-Square Model Test to Nonlinear Misspecification in Structural Equation Models

Volume: 74, Issue: 3, Pages: 443 - 455
Published: Mar 17, 2009
Abstract
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 misspecifications, but even the theoretical (chi-square) distribution of the test is not distorted when severe...
Paper Details
Title
On Insensitivity of the Chi-Square Model Test to Nonlinear Misspecification in Structural Equation Models
Published Date
Mar 17, 2009
Volume
74
Issue
3
Pages
443 - 455
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