On Interpreting the Model Parameters for the Three Parameter Logistic Model

Autor/inn/en	Maris, Gunter; Bechger, Timo
Titel	On Interpreting the Model Parameters for the Three Parameter Logistic Model
Quelle	In: Measurement: Interdisciplinary Research and Perspectives, 7 (2009) 2, S.75-88 (14 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1536-6367
Schlagwörter	Item Response Theory; Models; Ability; Test Items; Difficulty Level; Guessing (Tests); Probability; Identification + Suchen Sie Ihr Suchwort? Item-Response-Theorie; Analogiemodell; Fähigkeit; Fertigkeit; Test content; Testaufgabe; Schwierigkeitsgrad; Erraten; Wahrscheinlichkeitsrechnung; Wahrscheinlichkeitstheorie; Identifikation; Identifizierung
Abstract	This paper addresses two problems relating to the interpretability of the model parameters in the three parameter logistic model. First, it is shown that if the values of the discrimination parameters are all the same, the remaining parameters are nonidentifiable in a nontrivial way that involves not only ability and item difficulty, but also the guessing parameters. Second, a situation is considered where different researchers analyze the same test with different instances of the three parameter logistic model. One researcher reaches the conclusion that students guess, whereas the other one concludes that students do not guess. Both examples illustrate the many-one relation between statistical models and the probability distributions they imply, which is the overarching topic of this paper. (Contains 3 figures and 2 tables.) (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10