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Reliability in the Rasch Model
- 1.0083568 - ÚI 2008 RIV CZ eng J - Journal Article
Martinková, Patrícia - Zvára, K.
Reliability in the Rasch Model.
[Reliabilita v Raschově modelu.]
Kybernetika. Roč. 43, č. 3 (2007), s. 315-326. ISSN 0023-5954
R&D Projects: GA MŠMT(CZ) 1M06014
Institutional research plan: CEZ:AV0Z10300504
Keywords : Cronbach's alpha * Rasch model * reliability
Subject RIV: BB - Applied Statistics, Operational Research
Impact factor: 0.552, year: 2007
http://dml.cz/handle/10338.dmlcz/135776
This paper deals with the reliability of composite measurement consisting of true-false items obeying the Rasch model. A definition of reliability in the Rasch model is proposed and the connection to the classical definition of reliability is shown. As a modification of the classical estimator \textit{Cronbach's alpha}, a new estimator \textit{logistic alpha} is proposed. Finally, the properties of the new estimator are studied via simulations in the Rasch model.
Článek se zabývá reliabilitou (spolehlivostí) složených nula-jedničkových měření v Raschově modelu. Je zde navržena definice reliability v Raschově modelu a je ukázána souvislost s klasickou definicí. Jako modifikace klasického odhadu, tzv. Cronbachova alfa, je navržen nový odhad, tzv. logistické alfa. Vlastnosti nového odhadu jsou ukázány na simulacích v Raschově modelu.
Permanent Link: http://hdl.handle.net/11104/0146765
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