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Citation

Hipp, John R.; Bauer, Daniel J.; & Bollen, Kenneth A. (2005). Conducting Tetrad Tests of Model Fit and Contrasts of Tetrad-Nested Models: A New SAS Macro. Structural Equation Modeling, 12(1), 76-93.

Abstract

This article describes a SAS macro to assess model fit of structural equation models by employing a test of the model-implied vanishing tetrads. Use of this test has been limited in the past, in part due to the lack of software that fully automates the test in a user-friendly way. The current SAS macro provides a straightforward method for researchers to use the vanishing tetrads implied by models to assess the fit of (a) structural equation models containing continuous endogenous variables; (b) structural equation models containing continuous endogenous variables nested for vanishing tetrads; and (c) structural equation models containing dichotomous, ordinal, or censored endogenous variables. Besides providing an alternative assessment of model fit to the usual likelihood-ratio test (LRT), the vanishing tetrads test occasionally provides a statistical assessment of competing models nested for vanishing tetrads but not nested for the LRT. The macro permits formal comparisons between tetrad-nested structural equation models containing dichotomous, ordinal, or censored endogenous variables.

URL

http://dx.doi.org/10.1207/s15328007sem1201_4

Reference Type

Journal Article

Year Published

2005

Journal Title

Structural Equation Modeling

Author(s)

Hipp, John R.
Bauer, Daniel J.
Bollen, Kenneth A.

ORCiD

Bollen - 0000-0002-6710-3800