A Note on Stochastic Ordering of the Latent Trait Using the Sum of Polytomous Item Scores

Autor/inn/en	van der Ark, L. Andries; Bergsma, Wicher P.
Titel	A Note on Stochastic Ordering of the Latent Trait Using the Sum of Polytomous Item Scores
Quelle	In: Psychometrika, 75 (2010) 2, S.272-279 (8 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0033-3123
DOI	10.1007/s11336-010-9147-7
Schlagwörter	Scores; Nonparametric Statistics; Item Response Theory; Models; Probability; Measurement + Suchen Sie Ihr Suchwort? Item-Response-Theorie; Analogiemodell; Wahrscheinlichkeitsrechnung; Wahrscheinlichkeitstheorie; Messverfahren
Abstract	In contrast to dichotomous item response theory (IRT) models, most well-known polytomous IRT models do not imply stochastic ordering of the latent trait by the total test score (SOL). This has been thought to make the ordering of respondents on the latent trait using the total test score questionable and throws doubt on the justifiability of using nonparametric polytomous IRT models for ordinal measurement. We show that a broad class of polytomous IRT models has a weaker form of SOL, denoted "weak SOL," and argue that weak SOL justifies ordering respondents on the latent trait using the total test score and, therefore, the use of nonparametric polytomous IRT models for ordinal measurement. (Contains 1 table and 2 figures.) (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10