Optimal Designs for the Rasch Model

Autor/inn/en	Grasshoff, Ulrike; Holling, Heinz; Schwabe, Rainer
Titel	Optimal Designs for the Rasch Model
Quelle	In: Psychometrika, 77 (2012) 4, S.710-723 (14 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0033-3123
DOI	10.1007/s11336-012-9276-2
Schlagwörter	Item Response Theory; Test Items; Psychometrics; Statistical Analysis; Bayesian Statistics; Difficulty Level; Ability; Design + Suchen Sie Ihr Suchwort? Item-Response-Theorie; Test content; Testaufgabe; Psychometry; Psychometrie; Statistische Analyse; Schwierigkeitsgrad; Fähigkeit; Fertigkeit
Abstract	In this paper, optimal designs will be derived for estimating the ability parameters of the Rasch model when difficulty parameters are known. It is well established that a design is locally D-optimal if the ability and difficulty coincide. But locally optimal designs require that the ability parameters to be estimated are known. To attenuate this very restrictive assumption, prior knowledge on the ability parameter may be incorporated within a Bayesian approach. Several symmetric weight distributions, e.g., uniform, normal and logistic distributions, will be considered. Furthermore, maximin efficient designs are developed where the minimal efficiency is maximized over a specified range of ability parameters. (Contains 9 figures.) (As Provided).
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Update	2017/4/10