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Jackson, 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

Woodhouse, Brian; Jackson, Paul H. – Psychometrika, 1977
Finding and interpreting lower bounds for reliability coefficients for tests with non-homogeneous items has been a problem for psychometricians. A computer search procedure is developed for locating such a lower bound in a variety of settings. (Author/JKS)
Descriptors: Computer Programs, Mathematical Models, Measurement, Test Interpretation

Jackson, Paul H.; Agunwamba, Christian C. – Psychometrika, 1977
Finding and interpreting lower bounds for reliability coefficients for tests with nonhomogenous items has been a problem for psychometricians. This paper presents a mathematical formula for finding the greatest lower bound for such a coefficient. (Author/JKS)
Descriptors: Comparative Analysis, Mathematical Models, Measurement, Test Interpretation