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On the distribution of the maximum likelihood estimator of Cronbach's alpha
Psychometrika, 2000 The asymptotic normal distribution of the maximum likelihood estimator of Cronbach's alpha (under normality) is derived for the case when no assumptions are made about the covariances among items. The asymptotic distribution is also considered for the special case of compound symmetry and compared to the exact distribution.
Van Zyl, Heinz Neudecker, D. G. Nel
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Robust generalizations of classical test reliability and Cronbach's alpha
British Journal of Mathematical and Statistical Psychology, 1992 This paper describes a general class of reliability measures that contains the classical‐test‐theory measure as a special case. A particular member of this class is suggested for applied work, and some of its properties are studied. A lower bound for this new measure of reliability is derived which is a robust analogue of Cronbach's alpha.
Rand R. Wilcox
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On the Bayesian estimation for Cronbach's alpha
Journal of Applied Statistics, 2016ABSTRACTThis article considers the problem of estimating Cronbach's alpha under a Bayeisan framework. Such Bayes estimator arrives through out approximating distribution of the maximum likelihood estimator for Cronbach's alpha by an F distribution. Then, employing a noninformative prior distribution, Bayes estimator under squared-error and LINEX loss ...
Maryam Omidi Najafabadi +1 more
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Simultaneous estimation of Cronbach’s alpha coefficients
Communications in Statistics - Theory and Methods, 2018The simultaneous estimation of Cronbachs alpha coefficients from q populations under the compound symmetry assumption is considered.
Supranee Lisawadi +3 more
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Rethinking Internal Consistency in Cronbach's Alpha
Leisure Sciences, 2016ABSTRACTCronbach's alpha estimates the internal consistency of responses in multi-item bipolar scales. This article examined three research questions (RQ): (1) To what extent do inconsistencies exist in data (e.g., responses of −2 −2 2 2)? (2) Does the number of scale items influence the amount of inconsistency?
Carly C. Sponarski +2 more
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Resampling Permutation Probability Values for Cronbach's Alpha
Perceptual and Motor Skills, 2009A permutation procedure to compute a resampling probability value and empirical quantile limits is provided for Cronbach's alpha measure of internal reliability. The underlying assumptions for the conventional use of alpha are discussed. The use of a permutation test for Cronbach's alpha is highlighted as a valuable tool when sample sizes are small ...
Paul W. Mielke +2 more
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A Meta-Analysis of Cronbach's Coefficient Alpha
Journal of Consumer Research, 1994Despite some limitations, Cronbach's coefficient alpha remains the most widely used measure of scale reliability. The purpose of this article was to empirically document the magnitudes of alpha coefficients obtained in behavioral research, compare these obtained values with guidelines and recommendations set forth by individuals such as Nunnally (1967,
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The reliability of assessments: The Bayesian Cronbach’s alpha
Medical Teacher, 2017Dear SirTo ensure the precision of assessment questions as a proxy for measuring student performance, reliability estimates of test scores are required.
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Assessing the Reliability of Attitude Scale by Cronbach's Alpha
Journal of Global Communication, 2016Likert's summated rating scale is often used in social science researches as an instrument to assess psychological constructs. Reliability is a vital element in the evaluation of a measurement instrument. The present article highlighted the procedure and application of Cronbach's alpha coefficient of reliability for assessing the internal consistency ...
Shivaji D. Argade +3 more
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