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Testing model nesting and equivalence.

Peter M Bentler¹, Albert Satorra

¹Department of Psychology, University of California, Los Angeles, Box 951563, Los Angeles, CA 90095-1563, USA. bentler@ucla.edu

Psychological Methods

|June 3, 2010

Summary

This summary is machine-generated.

Determining if structural equation models are nested or equivalent is challenging. A new nesting and equivalence testing (NET) procedure uses moment matrices for simple, local evaluations, with potential for global conclusions via simulation.

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Area of Science:

Statistics
Psychometrics
Quantitative Psychology

Background:

Existing methods struggle to reliably assess model nesting and equivalence in structural equation modeling.
Evaluating relationships between different structural models lacks routine technological solutions.

Purpose of the Study:

To introduce a straightforward Nesting and Equivalence Testing (NET) procedure.
To provide a method for evaluating both model nesting and equivalence using readily available data.

Main Methods:

The NET procedure utilizes random sample and model-reproduced moment matrices.
It performs a 'local' analysis, focusing on specific model relationships.

Main Results:

The NET procedure offers a simple approach to testing model nesting and equivalence.
Local analyses can yield global conclusions when combined with simulation or bootstrapping techniques.

Conclusions:

The NET procedure addresses limitations in current structural equation modeling analysis.
It provides a practical tool for verifying model equivalence and appropriate nesting, crucial for fit index applications.