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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.

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.CrossRefGoogle Scholar
Kuder, G. F. and Richardson, M. W. The theory of the estimation of test reliability. Psychometrika, 1937, 2, 151–160.CrossRefGoogle Scholar
Lord, F. M. Sampling fluctuations resulting from the sampling of test items. Psychometrika, 1955, 20, 1–22.CrossRefGoogle Scholar