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Communications in Statistics - Theory and Methods Volume 48, 2019 - Issue 13
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Original Articles

Simultaneous estimation of Cronbach’s alpha coefficients

Supranee LisawadiFaculty of Science and Technology, Department of Mathematics and Statistics, Thammasat University, Khlong Luang, Thailand; Correspondence[email protected]
ORCID Iconhttp://orcid.org/0000-0002-3214-4610View further author information
ORCID Icon,
S. Ejaz AhmedDepartment of Mathematics and Statistics, Brock University, St. Catharines, Ontario, CanadaView further author information
,
Orawan ReangsephetFaculty of Science and Technology, Department of Mathematics and Statistics, Thammasat University, Khlong Luang, Thailand; View further author information
&
Muhammad Kashif Ali ShahFaculty of Science and Technology, Department of Mathematics and Statistics, Thammasat University, Khlong Luang, Thailand; View further author information
Pages 3236-3257 | Received 26 Oct 2017, Accepted 02 Apr 2018, Published online: 22 Nov 2018

References

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  • Bonett, D. G., and T. A. Wright. 2015. Cronbach’s alpha reliability: Interval estimation, hypothesis testing, and sample size planning. Journal of Organizational Behavior 36 (1):3–15.
  • Cronbach, L. J. 1951. Coefficient alpha and the internal structure of tests. Psychometrika 16 (3):297–334.
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  • Najafabadi, P. A. T., and M. O. Najafabadi. 2016. On the Bayesian estimation for Cronbachs alpha. Journal of Applied Statistics 43 (13):2416–41.
  • Shah, M. K. A., S. Lisawadi, and S. E. Ahmed 2017. Merging data from multiple sources: Pretest and shrinkage perspectives. Journal of Statistical Computation and Simulation 87 (8):1577–92.
  • Sheng, Y., and Z. Sheng. 2012. Is coefficient alpha robust to non-normal data? Frontiers in Psychology 334.
  • Sijtsma, K. 2009. On the use, the misuse, and the very limited usefulness of Cronbachs alpha. Psychometrika 74 (1):107–20.
  • van Zyl, J. M., H. Neudecker, and D. G. Nel. 2000. On the distribution of the maximum likelihood estimator of Cronbach’s alpha. Psychometrika 65 (3):271–80.
  • Zahra, N., S. Lisawadi, and S. E. Ahmed. 2017. Meta-analysis, pretest, and shrinkage estimation of kurtosis parameters. Communications in Statistics–Simulation and Computation 46 (10):7986–8004.

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