Asymptotic Standard Errors of Observed-Score Equating with Polytomous IRT Models

Autor/in	Andersson, Björn
Titel	Asymptotic Standard Errors of Observed-Score Equating with Polytomous IRT Models
Quelle	In: Journal of Educational Measurement, 53 (2016) 4, S.459-477 (19 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0022-0655
Schlagwörter	Equated Scores; Item Response Theory; Error of Measurement; Tests; Test Items; Models; Probability; Simulation; Guidelines; Test Length; Sample Size + Suchen Sie Ihr Suchwort? Item-Response-Theorie; Messfehler; Examination; Prüfung; Examen; Test content; Testaufgabe; Analogiemodell; Wahrscheinlichkeitsrechnung; Wahrscheinlichkeitstheorie; Simulation program; Simulationsprogramm; Richtlinien
Abstract	In observed-score equipercentile equating, the goal is to make scores on two scales or tests measuring the same construct comparable by matching the percentiles of the respective score distributions. If the tests consist of different items with multiple categories for each item, a suitable model for the responses is a polytomous item response theory (IRT) model. The parameters from such a model can be utilized to derive the score probabilities for the tests and these score probabilities may then be used in observed-score equating. In this study, the asymptotic standard errors of observed-score equating using score probability vectors from polytomous IRT models are derived using the delta method. The results are applied to the equivalent groups design and the nonequivalent groups design with either chain equating or poststratification equating within the framework of kernel equating. The derivations are presented in a general form and specific formulas for the graded response model and the generalized partial credit model are provided. The asymptotic standard errors are accurate under several simulation conditions relating to sample size, distributional misspecification and, for the nonequivalent groups design, anchor test length. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01