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Peer reviewedJackson, Paul H. – Psychometrika, 1979
Use of the same term "split-half" for division of an n-item test into two subtests containing equal (Cronbach), and possibly unequal (Guttman), numbers of items sometimes leads to a misunderstanding about the relation between Guttman's maximum split-half bound and Cronbach's coefficient alpha. This distinction is clarified. (Author/JKS)
Descriptors: Item Analysis, Mathematical Formulas, Technical Reports, Test Reliability
Peer reviewedten Berge, Jos M. F.; Zegers, Frits E. – Psychometrika, 1978
Two lower bounds to reliability in classical test theory, Guttman's lamda and Cronbach's alpha, are shown to be terms of an infinite series of lower bounds. All terms of this series are equal to reliability if and only if the test contains items which are tau-equivalent. (Author/JKS)
Descriptors: Mathematical Formulas, Psychometrics, Technical Reports, Test Interpretation
Peer reviewedRaju, Nambury S. – Psychometrika, 1979
An important relationship is given for two generalizations of coefficient alpha: (1) Rajaratnam, Cronbach, and Gleser's generalizability formula for stratified-parallel tests, and (2) Raju's coefficient beta. (Author/CTM)
Descriptors: Item Analysis, Mathematical Formulas, Test Construction, Test Items
