Frontiers in Psychology · 2016 · 919 citations · 38 references
EducationEducational MeasurementPsychologyItem Response TheoryMethod ValidationPsychometricsInternal ConsistencyMeasurement ErrorReliabilityReliability ModelingTest ReliabilityCoefficient AlphaCoefficient OmegaInternal Consistency ReliabilityItem ReliabilityMonte Carlo Reliability AnalysisOmega ReliabilityPsychometric ReliabilitySkew Detection
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.
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R: A Language and Environment for Statistical Computing
R Core Team · 2000 · 353K citations · Full text
Natural Sciences, Computer Science, Statistical Computing +10
Coefficient Alpha and the Internal Structure of Tests
Lee J. Cronbach · Psychometrika · 1951 · 43.2K citations · Full text
Social Sciences, Educational Assessment, Educational Measurement +14
Statistical Theories of Mental Test Scores
William W. Rozeboom, Frederic M. Lord, Melvin R. Novick et al. · American Educational Research Journal · 1969 · 8.1K citations