Geodesic
Reliability in the Rasch model
Kybernetika, Tome 43 (2007) no. 3, pp. 315-326.

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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.
Classification : 62F10, 62N05, 62P25, 65C60
Keywords: Cronbach’s alpha; Rasch model; reliability 
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     author = {Martinkov\'a, Patr{\'\i}cia and Zv\'ara, Karel},
     title = {Reliability in the {Rasch} model},
     journal = {Kybernetika},
     pages = {315--326},
     publisher = {mathdoc},
     volume = {43},
     number = {3},
     year = {2007},
     mrnumber = {2362721},
     zbl = {1136.62409},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2007__43_3_a3/}
}
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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/