Geodesic
Reliability in the Rasch model
Kybernetika, Tome 43 (2007) no. 3, pp. 315-326 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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 Cronbach's alpha, a new estimator logistic alpha is proposed. Finally, the properties of the new estimator are studied via simulations in the Rasch model.
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 Cronbach's alpha, a new estimator logistic alpha is proposed. Finally, the properties of the new estimator are studied via simulations in the Rasch model.
Classification : 62F10, 62N05, 62P25, 65C60
Keywords: Cronbach’s alpha; Rasch model; reliability 
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Martinková, Patrícia; Zvára, Karel. Reliability in the Rasch model. Kybernetika, Tome 43 (2007) no. 3, pp. 315-326. http://geodesic.mathdoc.fr/item/KYB_2007_43_3_a3/

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