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Simultaneous estimation of Cronbach’s alpha coefficients

Author

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  • Supranee Lisawadi
  • S. Ejaz Ahmed
  • Orawan Reangsephet
  • Muhammad Kashif Ali Shah

Abstract

The simultaneous estimation of Cronbachs alpha coefficients from q populations under the compound symmetry assumption is considered. In a multi-sample scenario, it is suspected that all the Cronbachs alpha coefficients are identical. Consequently, the inclusion of non-sample information (NSI) on the homogeneity of Cronbachs alpha coefficients in the estimation process may improve precision. We propose improved estimators based on the linear shrinkage, preliminary test, and the Steins type shrinkage strategies, to incorporate available NSI into the estimation. Their asymptotic properties are derived and discussed using the concepts of bias and risk. Extensive Monte-Carlo simulations were conducted to investigate the performance of the estimators.

Suggested Citation

  • Supranee Lisawadi & S. Ejaz Ahmed & Orawan Reangsephet & Muhammad Kashif Ali Shah, 2019. "Simultaneous estimation of Cronbach’s alpha coefficients," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(13), pages 3236-3257, July.
    • Handle: RePEc:taf:lstaxx:v:48:y:2019:i:13:p:3236-3257
    DOI: 10.1080/03610926.2018.1473882
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    Cited by:

    1. Mahmoud Aldeni & John Wagaman & Mohamed Amezziane & S. Ejaz Ahmed, 2023. "Pretest and shrinkage estimators for log-normal means," Computational Statistics, Springer, vol. 38(3), pages 1555-1578, September.

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