AI Article Synopsis
- A new condition for determining when structural equation models are equivalent has been introduced, improving upon earlier models by being applicable to a wider range of scenarios, including those with parameter restrictions.
- This method can effectively show if two models are nonequivalent, even if they don't meet some assumptions of previous rules.
- The validity of existing equivalence rules is supported by this new approach, which is showcased through various practical examples.
Article Abstract
A necessary and sufficient condition for equivalence of structural equation models is presented. Compared to existing rules for equivalent model generation (Stelzl, 1986; Lee & Hershberger, 1990; Hershberger, 1994), it is applicable to a more general class including models with parameter restrictions and models that may or may not fulfil assumptions of the rules, to show that two models are nonequivalent, or to nonidentified models. The validity of the replacement rule by Lee and Hershberger, Stelzl's rules, and Hershberger's inverse indicator rule is implied from the present method. Its application for studying model equivalence or lack thereof is demonstrated on a series of empirical examples.
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| http://dx.doi.org/10.1207/S15327906Mb340204 | DOI Listing |
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