On Compensation in Multidimensional Response Modeling

Autor/in	van der Linden, Wim J.
Titel	On Compensation in Multidimensional Response Modeling
Quelle	In: Psychometrika, 77 (2012) 1, S.21-30 (10 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0033-3123
DOI	10.1007/s11336-011-9237-1
Schlagwörter	Models; Maximum Likelihood Statistics; Scoring + Suchen Sie Ihr Suchwort? Analogiemodell; Bewertung
Abstract	The issue of compensation in multidimensional response modeling is addressed. We show that multidimensional response models are compensatory in their ability parameters if and only if they are monotone. In addition, a minimal set of assumptions is presented under which the MLEs of the ability parameters are also compensatory. In a recent series of articles, beginning with Hooker, Finkelman, and Schwartzman (2009) in this journal, the second type of compensation was presented as a paradoxical result for certain multidimensional response models, leading to occasional unfairness in maximum-likelihood test scoring. First, it is indicated that the compensation is not unique and holds generally for any multiparameter likelihood with monotone score functions. Second, we analyze why, in spite of its generality, the compensation may give the impression of a paradox or unfairness. (As Provided).
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Update	2017/4/10