An Empirical Evaluation of the Use of Fixed Cutoff Points in RMSEA Test Statistic in Structural Equation Models

Author:

Feinian Chen 1,Curran Patrick J.2,Bollen Kenneth A.2,Kirby James3,Paxton Pamela4

Affiliation:

1. North Carolina State University, Raleigh, NC

2. University of North Carolina at Chapel Hill

3. Agency for Healthcare Research & Quality, Rockville, MD

4. Ohio State University, Columbus

Abstract

This article is an empirical evaluation of the choice of fixed cutoff points in assessing the root mean square error of approximation (RMSEA) test statistic as a measure of goodness-of-fit in Structural Equation Models. Using simulation data, the authors first examine whether there is any empirical evidence for the use of a universal cutoff, and then compare the practice of using the point estimate of the RMSEA alone versus that of using it jointly with its related confidence interval. The results of the study demonstrate that there is little empirical support for the use of .05 or any other value as universal cutoff values to determine adequate model fit, regardless of whether the point estimate is used alone or jointly with the confidence interval. The authors' analyses suggest that to achieve a certain level of power or Type I error rate, the choice of cutoff values depends on model specifications, degrees of freedom, and sample size.

Publisher

SAGE Publications

Subject

Sociology and Political Science,Social Sciences (miscellaneous)

Reference36 articles.

1. Structural equation modelling: Adjudging model fit

2. Comparative fit indexes in structural models.

3. On tests and indices for evaluating structural models

4. Bollen, K.A. and J.S. Long. 1993. ``Introduction.'' Pp. 1-9 in Testing Structural Equation Models, edited by K. Bollen and J. Long. Newbury Park, CA: Sage.

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