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The Kuder-Richardson formula (21) as a Split-Half Coefficient, and Some Remarks on its Basic Assumption

Published online by Cambridge University Press:  01 January 2025

Samuel B. Lyerly
Samuel B. Lyerly*
Affiliation:
Washington, D. C.
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Abstract

Case IV of the Kuder-Richardson series, their formula (21), is derived as a generalized split-half Spearman-Brown coefficient. The basic assumption employed is shown to be sufficient to justify the various assumptions used in derivations by other authors. Some of the implications of this assumption are discussed.

Information

Type
Original Paper
Information
Psychometrika , Volume 23 , Issue 3 , September 1958, pp. 267 - 270
Copyright
Copyright © 1958 The Psychometric Society

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References

Cronbach, L. J. Coefficient alpha and the internal structure of tests. Psychometrika, 1951, 16, 297–334.10.1007/BF02310555CrossRefGoogle Scholar
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Lord, F. M. Sampling fluctuations resulting from the sampling of test items. Psychometrika, 1955, 20, 1–22.10.1007/BF02288956CrossRefGoogle Scholar