Evaluation of a New Mean Scaled and Moment Adjusted Test Statistic for SEM

Autor/inn/en	Tong, Xiaoxiao; Bentler, Peter M.
Titel	Evaluation of a New Mean Scaled and Moment Adjusted Test Statistic for SEM
Quelle	In: Structural Equation Modeling: A Multidisciplinary Journal, 20 (2013) 1, S.148-156 (9 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1070-5511
DOI	10.1080/10705511.2013.742403
Schlagwörter	Structural Equation Models; Maximum Likelihood Statistics; Robustness (Statistics); Sample Size; Monte Carlo Methods; Factor Analysis; Goodness of Fit; Statistical Analysis + Suchen Sie Ihr Suchwort? Widerstandsfähigkeit; Monte-Carlo-Methode; Faktorenanalyse; Statistische Analyse
Abstract	Recently a new mean scaled and skewness adjusted test statistic was developed for evaluating structural equation models in small samples and with potentially nonnormal data, but this statistic has received only limited evaluation. The performance of this statistic is compared to normal theory maximum likelihood and 2 well-known robust test statistics. A modification to the Satorra-Bentler scaled statistic is developed for the condition that sample size is smaller than degrees of freedom. The behavior of the 4 test statistics is evaluated with a Monte Carlo confirmatory factor analysis study that varies 7 sample sizes and 3 distributional conditions obtained using Headrick's fifth-order transformation to nonnormality. The new statistic performs badly in most conditions except under the normal distribution. The goodness-of-fit chi[superscript 2] test based on maximum-likelihood estimation performed well under normal distributions as well as under a condition of asymptotic robustness. The Satorra-Bentler scaled test statistic performed best overall, whereas the mean scaled and variance adjusted test statistic outperformed the others at small and moderate sample sizes under certain distributional conditions. (Contains 4 tables.) (As Provided).
Anmerkungen	Psychology Press. Available from: Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10