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Best Alternatives to Cronbach's Alpha Reliability in Realistic Conditions: Congeneric and Asymmetrical Measurements

Frontiers in Psychology · 2016 · Vol. 7 · pp. 769–769
Ítalo Trizano-HermosillaJesús M. Alvarado

Abstract

The Cronbach's alpha is the most widely used method for estimating internal consistency reliability. This procedure has proved very resistant to the passage of time, even if its limitations are well documented and although there are better options as omega coefficient or the different versions of glb, with obvious advantages especially for applied research in which the ítems differ in quality or have skewed distributions. In this paper, using Monte Carlo simulation, the performance of these reliability coefficients under a one-dimensional model is evaluated in terms of skewness and no tau-equivalence. The results show that omega coefficient is always better choice than alpha and in the presence of skew items is preferable to use omega and glb coefficients even in small samples.

Statistical Methods and Bayesian InferenceOptimal Experimental Design MethodsStatistical Distribution Estimation and ApplicationsCronbach's alphaSkewnessSkewReliability (semiconductor)Monte Carlo methodEquivalence (formal languages)Internal consistencyAlpha (finance)OmegaConsistency (knowledge bases)

Funding

  • Comisión Nacional de Investigación Científica y Tecnológica
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References
What is coefficient alpha? An examination of theory and applications.
Journal of Applied Psychology · 1993 · 7,963 citations
Test Theory: A Unified Treatment
Journal of the American Statistical Association · 2000 · 3,686 citations
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