On the Model-Based Bootstrap with Missing Data: Obtaining a "P"-Value for a Test of Exact Fit

Autor/inn/en	Savalei, Victoria; Yuan, Ke-Hai
Titel	On the Model-Based Bootstrap with Missing Data: Obtaining a "P"-Value for a Test of Exact Fit
Quelle	In: Multivariate Behavioral Research, 44 (2009) 6, S.741-763 (23 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0027-3171
Schlagwörter	Statistical Inference; Goodness of Fit; Structural Equation Models; Transformations (Mathematics); Data; Monte Carlo Methods; Cognitive Tests; Junior High School Students; Maximum Likelihood Statistics + Suchen Sie Ihr Suchwort? Inferential statistics; Schließende Statistik; Transformationstheorie; Daten; Monte-Carlo-Methode; Kognitiver Fähigkeitstest; Junior High Schools; Student; Students; Sekundarstufe I; Schüler; Schülerin
Abstract	Evaluating the fit of a structural equation model via bootstrap requires a transformation of the data so that the null hypothesis holds exactly in the sample. For complete data, such a transformation was proposed by Beran and Srivastava (1985) for general covariance structure models and applied to structural equation modeling by Bollen and Stine (1992). An extension of this transformation to missing data was presented by Enders (2002), but it is an approximate and not an exact solution, with the degree of approximation unknown. In this article, we provide several approaches to obtaining an exact solution. First, an explicit solution for the special case when the sample covariance matrix within each missing data pattern is invertible is given. Second, 2 iterative algorithms are described for obtaining an exact solution in the general case. We evaluate the rejection rates of the bootstrapped likelihood ratio statistic obtained via the new procedures in a Monte Carlo study. Our main finding is that model-based bootstrap with incomplete data performs quite well across a variety of distributional conditions, missing data mechanisms, and proportions of missing data. We illustrate our new procedures using empirical data on 26 cognitive ability measures in junior high students, published in Holzinger and Swineford (1939). (Contains 4 tables and 5 footnotes.) (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