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Bayesian meta‐analysis of coefficient alpha

Research Synthesis Methods, 2013
The current paper describes and illustrates a Bayesian approach to the meta‐analysis of coefficient alpha. Alpha is the most commonly used estimate of the reliability or consistency (freedom from measurement error) for educational and psychological measures. The conventional approach to meta‐analysis uses inverse variance weights to combine information
Brannick, Michael T., Zhang, Nanhua
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Coefficient Alpha and Interculture Test Selection

Assessment, 2012
The internal consistency reliability of a measure can be a focal point in an evaluation of the potential adequacy of an instrument for adaptation to another cultural setting. Cronbach’s alpha (α) coefficient is often used as the statistical index for such a determination.
Steven, Thurber, Yasuhiro, Kishi
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A Comprehensive Alpha Coefficient Algorithm

Advances in X-ray Analysis, 1979
AbstractAn algorithm is proposed as a model that describes the intensity concentration relation over a wide concentration range in binary and more complex systems involving absorption and enhancement. All the influence coefficients can be determined from fundamental parameter equations.
G. R. Lachance, F. Claisse
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A Generalization of Coefficient Alpha

Psychometrika, 1977
It is well known that coefficient alpha can be used to estimate the reliability of a test even when the test is split into several parts. It is also known that alpha can severely underestimate test reliability when the several parts have an unequal number of items. A gernalization of alpha, βk, is proposed to correct this defect.
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Meta-analysis of coefficient alpha.

Psychological Methods, 2006
The meta-analysis of coefficient alpha across many studies is becoming more common in psychology by a methodology labeled reliability generalization. Existing reliability generalization studies have not used the sampling distribution of coefficient alpha for precision weighting and other common meta-analytic procedures.
Michael C, Rodriguez, Yukiko, Maeda
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Testing Reliability Hypotheses Based on Coefficient Alpha [PDF]

open access: possibleSSRN Electronic Journal, 2008
We show how to test hypotheses for coefficient alpha in three different situations: (1) Hypothesis tests of whether coefficient alpha equals a prespecified value. (2) Hypothesis tests involving two statistically independent sample alphas as may arise when testing the equality of coefficient alpha across groups.
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Commentary on Coefficient Alpha: A Cautionary Tale

Psychometrika, 2009
The general use of coefficient alpha to assess reliability should be discouraged on a number of grounds. The assumptions underlying coefficient alpha are unlikely to hold in practice, and violation of these assumptions can result in nontrivial negative or positive bias. Structural equation modeling was discussed as an informative process both to assess
Green, Samuel B., Yang, Yanyun
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Coefficient alpha and related internal consistency reliability coefficients.

Psychological Methods, 2000
The author studied the conditions under which coefficient alpha and 10 related internal consistency reliability coefficients underestimate the reliability of a measure. Simulated data showed that alpha, though reasonably robust when computed on n components in moderately heterogeneous data, can under certain conditions seriously underestimate the ...
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Hall Coefficient of Alpha Plutonium

Physical Review, 1963
The Hall coefficient of aipha plutonium was found to be +2.8 x 10/sup - 13/ at 388 c- K and -6.5 x 10/sup -13/ (v-cm)/(A-G) at 78 c- K. The variation between these extreme temperatures was found to change gradually with temperature and the value changes sign at 190 c- K. No field dependence of Hall voltage was found, nor did the application of 11,500 G
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Note on Two Generalizations of Coefficient Alpha

Psychometrika, 1979
An important relationship is given for two generalizations of coefficient alpha, Rajaratnam, Cronbach and Gleser's generalizability formula for stratified-parallel tests and Raju's coefficient beta.
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