Identification and Small Sample Estimation of Thurstone's Unrestricted Model for Paired Comparisons Data

Autor/inn/en	Maydeu-Olivares, Alberto; Hernandez, Adolfo
Titel	Identification and Small Sample Estimation of Thurstone's Unrestricted Model for Paired Comparisons Data
Quelle	In: Multivariate Behavioral Research, 42 (2007) 2, S.323-347 (25 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0027-3171
DOI	10.1080/00273170701360555
Schlagwörter	Identification; Structural Equation Models; Matrices; Comparative Analysis; Data Analysis; Sample Size; Computation + Suchen Sie Ihr Suchwort? Identifikation; Identifizierung; Matrizenrechnung; Auswertung
Abstract	The interpretation of a Thurstonian model for paired comparisons where the utilities' covariance matrix is unrestricted proved to be difficult due to the comparative nature of the data. We show that under a suitable constraint the utilities' correlation matrix can be estimated, yielding a readily interpretable solution. This set of identification constraints can recover any true utilities' covariance matrix, but it is not unique. Indeed, we show how to transform the estimated correlation matrix into alternative correlation matrices that are equally consistent with the data but may be more consistent with substantive theory. Also, we show how researchers can investigate the sample size needed to estimate a particular model by exploiting the simulation capabilities of a popular structural equation modeling statistical package. (Author).
Anmerkungen	Lawrence Erlbaum. 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/default.html
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10