Identified Parameters, Parameters of Interest and Their Relationships

Autor/inn/en	San Martin, Ernesto; Gonzalez, Jorge; Tuerlinckx, Francis
Titel	Identified Parameters, Parameters of Interest and Their Relationships
Quelle	In: Measurement: Interdisciplinary Research and Perspectives, 7 (2009) 2, S.97-105 (9 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1536-6367
Schlagwörter	Stellungnahme; Fundamental Concepts; Identification; Item Response Theory; Models + Suchen Sie Ihr Suchwort? Grundlagenplan; Konzept; Identifikation; Identifizierung; Item-Response-Theorie; Analogiemodell
Abstract	The goal of this commentary is to provide some additional results to the interesting and provocative paper of Maris and Bechger ("On Interpreting the Model Parameters for the Three Parameter Logistic Model," this issue). In this article, the authors have three aims. First, the authors distinguish between three fundamental concepts that are important in studying identification in statistical models: (1) the statistical model; (2) the identified parametrization; and (3) the parameters of interest. Second, they take the analysis of Maris and Bechger one step further by showing what restrictions are needed to identify the three parameter logistic (3PL) with discriminations equal to 1 (which, following San Martin, Del Pino, and De Boeck, 2006, the authors term 1PL-G) in a meaningful way. Third, the authors point to an implicit problem in the analysis of Maris and Bechger, but one that has much broader consequences than appear at first sight. The authors begin with explaining the three fundamental concepts that they think are necessary to be distinguished in any identification enterprise. The three concepts are reviewed and explained using a more convenient, but otherwise equivalent, parameterization of the Rasch model as it is specified in Maris and Bechger. (ERIC).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10