Generalization of the Lord-Wingersky Algorithm to Computing the Distribution of Summed Test Scores Based on Real-Number Item Scores

Autor/in	Kim, Seonghoon
Titel	Generalization of the Lord-Wingersky Algorithm to Computing the Distribution of Summed Test Scores Based on Real-Number Item Scores
Quelle	In: Journal of Educational Measurement, 50 (2013) 4, S.381-389 (9 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0022-0655
Schlagwörter	Item Response Theory; Scores; Computation; Mathematics; Statistical Distributions + Suchen Sie Ihr Suchwort? Item-Response-Theorie; Mathematik; Wahrscheinlichkeitsverteilung
Abstract	With known item response theory (IRT) item parameters, Lord and Wingersky provided a recursive algorithm for computing the conditional frequency distribution of number-correct test scores, given proficiency. This article presents a generalized algorithm for computing the conditional distribution of summed test scores involving real-number item scores. The generalized algorithm is distinct from the Lord-Wingersky algorithm in that it explicitly incorporates the task of figuring out all possible unique real-number test scores in each recursion. Some applications of the generalized recursive algorithm, such as IRT test score reliability estimation and IRT proficiency estimation based on summed test scores, are illustrated with a short test by varying scoring schemes for its items. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10