Conjunctive and Disjunctive Extensions of the Least Squares Distance Model of Cognitive Diagnosis

Autor/inn/en	Dimitrov, Dimiter M.; Atanasov, Dimitar V.
Titel	Conjunctive and Disjunctive Extensions of the Least Squares Distance Model of Cognitive Diagnosis
Quelle	In: Educational and Psychological Measurement, 72 (2012) 1, S.120-138 (19 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0013-1644
DOI	10.1177/0013164411402324
Schlagwörter	Least Squares Statistics; Models; Item Response Theory; Cognitive Measurement; Probability; Validity + Suchen Sie Ihr Suchwort? Analogiemodell; Item-Response-Theorie; Wahrscheinlichkeitsrechnung; Wahrscheinlichkeitstheorie; Gültigkeit
Abstract	Many models of cognitive diagnosis, including the "least squares distance model" (LSDM), work under the "conjunctive" assumption that a correct item response occurs when all latent attributes required by the item are correctly performed. This article proposes a "disjunctive" version of the LSDM under which the correct item response occurs when "at least one" attribute is correctly applied. Also, under both the conjunctive and disjunctive versions of the LSDM, this article demonstrates an approach to estimating the conditional probability that (a) a "specific pattern" of "p" attributes, (b) "exactly p" attributes, and (c) "at least p" attributes will be correctly performed across locations on the logit scale in the item response theory under the one-, two-, or three-parameter logistic model. Such information can be useful for interpretations and decisions based on a person's performance on attributes that govern the correct responses on binary items under unidimensional item response theory calibrations for assessment in education, psychology, and other fields. (Contains 4 tables, 7 figures, and 1 note.) (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10