Statistical Tests of Conditional Independence between Responses and/or Response Times on Test Items

Autor/inn/en	van der Linden, Wim J.; Glas, Cees A. W.
Titel	Statistical Tests of Conditional Independence between Responses and/or Response Times on Test Items
Quelle	In: Psychometrika, 75 (2010) 1, S.120-139 (20 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0033-3123
DOI	10.1007/s11336-009-9129-9
Schlagwörter	Test Items; Computation; Responses; Reaction Time; Models; Mathematical Models + Suchen Sie Ihr Suchwort? Test content; Testaufgabe; Reaktionsvermögen; Analogiemodell; Mathematical model; Mathematisches Modell
Abstract	Three plausible assumptions of conditional independence in a hierarchical model for responses and response times on test items are identified. For each of the assumptions, a Lagrange multiplier test of the null hypothesis of conditional independence against a parametric alternative is derived. The tests have closed-form statistics that are easy to calculate from the standard estimates of the person parameters in the model. In addition, simple closed-form estimators of the parameters under the alternatives of conditional dependence are presented, which can be used to explore model modification. The tests were applied to a data set from a large-scale computerized exam and showed excellent power to detect even minor violations of conditional independence. (Contains 6 figures.) (As Provided).
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Update	2017/4/10