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A simulation approach on Cronbach's alpha statistical significance

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  • Leontitsis, Alexandros
  • Pagge, Jenny

Abstract

In this work we propose the use of simulation for the solution of the Cronbach's alpha statistical significance problem. This coefficient measures the reliability of a questionnaire's answers. Many analytical tests have been developed over the years which gave birth to very complicated formulas [2,4,6–9]. A simulation approach to the solution of this problem takes advantage of the computational power in order to give exact results for the distribution of the null hypothesis regarding this coefficient.

Suggested Citation

  • Leontitsis, Alexandros & Pagge, Jenny, 2007. "A simulation approach on Cronbach's alpha statistical significance," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 73(5), pages 336-340.
    • Handle: RePEc:eee:matcom:v:73:y:2007:i:5:p:336-340
    DOI: 10.1016/j.matcom.2006.08.001
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    1. J. Zyl & H. Neudecker & D. Nel, 2000. "On the distribution of the maximum likelihood estimator of Cronbach's alpha," Psychometrika, Springer;The Psychometric Society, vol. 65(3), pages 271-280, September.
    2. Christmann, A. & Van Aelst, S., 2006. "Robust estimation of Cronbach's alpha," Journal of Multivariate Analysis, Elsevier, vol. 97(7), pages 1660-1674, August.
    3. Koning, A.J. & Franses, Ph.H.B.F., 2003. "Confidence Intervals for Cronbach's Coefficient Alpha Values," ERIM Report Series Research in Management ERS-2003-041-MKT, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    4. Lee Cronbach, 1951. "Coefficient alpha and the internal structure of tests," Psychometrika, Springer;The Psychometric Society, vol. 16(3), pages 297-334, September.
    5. A. Hakstian & Thomas Whalen, 1976. "A k-sample significance test for independent alpha coefficients," Psychometrika, Springer;The Psychometric Society, vol. 41(2), pages 219-231, June.
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