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Conger, Anthony J. – Educational and Psychological Measurement, 1980
Reliability maximizing weights are related to theoretically specified true score scaling weights to show a constant relationship that is invariant under separate linear tranformations on each variable in the system. Test theoretic relations should be derived for the most general model available and not for unnecessarily constrained models.…
Descriptors: Mathematical Formulas, Scaling, Test Reliability, Test Theory
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Gati, Itamar – Educational and Psychological Measurement, 1981
This paper examines the properties of the Item Efficiency Index proposed by Neill and Jackson (1976; EJ 137 077) for minimum redundancy item analysis. (Author/BW)
Descriptors: Correlation, Factor Structure, Item Analysis, Mathematical Models
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Vegelius, Jan – Educational and Psychological Measurement, 1980
One argument against the G index is that, unlike phi, it is not a correlation coefficient; yet, G conforms to the Kendall and E-coefficient definitions. The G index is also equal to the Pearson product moment correlation coefficient obtained from double scoring. (Author/CP)
Descriptors: Correlation, Mathematical Formulas, Test Reliability
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Silverstein, A. B. – Educational and Psychological Measurement, 1980
An alternative derivation was given of Gaylord's formulas showing the relationships among the average item intercorrelation, the average item-test correlation, and test reliability. Certain parallels were also noted in analysis of variance and principal component analysis. (Author)
Descriptors: Analysis of Variance, Item Analysis, Mathematical Formulas, Test Reliability