Maximum Likelihood Methods in Treating Outliers and Symmetrically Heavy-Tailed Distributions for Nonlinear Structural Equation Models with Missing Data

Autor/inn/en	Lee, Sik-Yum; Xia, Ye-Mao
Titel	Maximum Likelihood Methods in Treating Outliers and Symmetrically Heavy-Tailed Distributions for Nonlinear Structural Equation Models with Missing Data
Quelle	In: Psychometrika, 71 (2006) 3, S.565-585 (21 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0033-3123
DOI	10.1007/s11336-006-1264-1
Schlagwörter	Maximum Likelihood Statistics; Statistical Distributions; Structural Equation Models; Robustness (Statistics); Error of Measurement; Monte Carlo Methods; Bayesian Statistics; Comparative Analysis; Educational Research; Social Science Research; Behavioral Science Research; Psychological Studies + Suchen Sie Ihr Suchwort? Wahrscheinlichkeitsverteilung; Widerstandsfähigkeit; Messfehler; Monte-Carlo-Methode; Bildungsforschung; Pädagogische Forschung; Social scientific research; Sozialwissenschaftliche Forschung
Abstract	By means of more than a dozen user friendly packages, structural equation models (SEMs) are widely used in behavioral, education, social, and psychological research. As the underlying theory and methods in these packages are vulnerable to outliers and distributions with longer-than-normal tails, a fundamental problem in the field is the development of robust methods to reduce the influence of outliers and the distributional deviation in the analysis. In this paper we develop a maximum likelihood (ML) approach that is robust to outliers and symmetrically heavy-tailed distributions for analyzing nonlinear SEMs with ignorable missing data. The analytic strategy is to incorporate a general class of distributions into the latent variables and the error measurements in the measurement and structural equations. A Monte Carlo EM (MCEM) algorithm is constructed to obtain the ML estimates, and a path sampling procedure is implemented to compute the observed-data log-likelihood and then the Bayesian information criterion for model comparison. The proposed methodologies are illustrated with simulation studies and an example. (Author).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10