Reliability in the Rasch model

Patrícia Martinková; Karel Zvára

Kybernetika (2007)

  • Volume: 43, Issue: 3, page 315-326
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Martinková, Patrícia, and Zvára, Karel. "Reliability in the Rasch model." Kybernetika 43.3 (2007): 315-326. <http://eudml.org/doc/33860>.

@article{Martinková2007,
abstract = {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.},
author = {Martinková, Patrícia, Zvára, Karel},
journal = {Kybernetika},
keywords = {Cronbach’s alpha; Rasch model; reliability; Cronbach's alpha; Rasch model; reliability},
language = {eng},
number = {3},
pages = {315-326},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Reliability in the Rasch model},
url = {http://eudml.org/doc/33860},
volume = {43},
year = {2007},
}

TY - JOUR
AU - Martinková, Patrícia
AU - Zvára, Karel
TI - Reliability in the Rasch model
JO - Kybernetika
PY - 2007
PB - Institute of Information Theory and Automation AS CR
VL - 43
IS - 3
SP - 315
EP - 326
AB - 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.
LA - eng
KW - Cronbach’s alpha; Rasch model; reliability; Cronbach's alpha; Rasch model; reliability
UR - http://eudml.org/doc/33860
ER -

References

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  9. Richardson G. Kuder, M., The theory of estimation of test reliability, Psychometrika 2 (1937), 151–160 (1937) 
  10. Neter J., Wasserman, W., Kutner M. H., Applied Linear Statistical Models, Richard D. Irwin, Homewood, Il. 1985 
  11. Novick M. R., Lewis C., Coefficient alpha and the reliability of composite measurement, Psychometrika 32 (1967), 1–13 (1967) 
  12. Rasch G., Probabilistic Models for Some Intelligence and Attainment Tests, The Danish Institute of Educational Research, Copenhagen 1960 
  13. Berge J. M. F. ten, Zegers F. E., A series of lower bounds to the reliability of a test, Psychometrika 43 (1978), 575–579 (1978) MR0521905
  14. Wilcox R. R., Robust generalizations of classical test reliability and Cronbach’s alpha, British J. Math. Statist. Psych. 45 (1992), 239–254 (1992) 
  15. Zvára K., Measuring of reliability: Beware of Cronbach, (Měření reliability aneb bacha na Cronbacha, in Czech.) Inform. Bull. Czech Statist. Soc. 12 (2002), 13–20 

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