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ERIC Number: EJ856066
Record Type: Journal
Publication Date: 2009
Pages: 9
Abstractor: ERIC
Reference Count: 16
ISSN: ISSN-1536-6367
Identified Parameters, Parameters of Interest and Their Relationships
San Martin, Ernesto; Gonzalez, Jorge; Tuerlinckx, Francis
Measurement: Interdisciplinary Research and Perspectives, v7 n2 p97-105 2009
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.
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:
Publication Type: Journal Articles; Opinion Papers; Reports - Evaluative
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A