Diagnostics of Robust Growth Curve Modeling Using Student's "t" Distribution

Autor/inn/en	Tong, Xin; Zhang, Zhiyong
Titel	Diagnostics of Robust Growth Curve Modeling Using Student's "t" Distribution
Quelle	In: Multivariate Behavioral Research, 47 (2012) 4, S.493-518 (26 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0027-3171
DOI	10.1080/00273171.2012.692614
Schlagwörter	Models; Robustness (Statistics); Statistical Analysis; Error of Measurement; Computation; Comparative Analysis; Nonverbal Ability; Mathematics Achievement; National Longitudinal Survey of Youth; Peabody Individual Achievement Test + Suchen Sie Ihr Suchwort? Analogiemodell; Widerstandsfähigkeit; Statistische Analyse; Messfehler; Mathmatics sikills; Mathmatics achievement; Mathematical ability; Mathematische Kompetenz
Abstract	Growth curve models with different types of distributions of random effects and of intraindividual measurement errors for robust analysis are compared. After demonstrating the influence of distribution specification on parameter estimation, 3 methods for diagnosing the distributions for both random effects and intraindividual measurement errors are proposed and evaluated. The methods include (a) distribution checking based on individual growth curve analysis; (b) distribution comparison based on Deviance Information Criterion, and (c) post hoc checking of degrees of freedom estimates for "t" distributions. The performance of the methods is compared through simulation studies. When the sample size is reasonably large, the method of post hoc checking of degrees of freedom estimates works best. A web interface is developed to ease the use of the 3 methods. Application of the 3 methods is illustrated through growth curve analysis of mathematical ability development using data on the Peabody Individual Achievement Test Mathematics assessment from the National Longitudinal Survey of Youth 1997 Cohort (Bureau of Labor Statistics, U.S. Department of Labor, 2005). (Contains 5 figures, 2 footnotes and 8 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