, Volume 23, Issue 3, pp 267–270 | Cite as

The Kuder-Richardson formula (21) as a split-half coefficient, and some remarks on its basic assumption

  • Samuel B. Lyerly


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.


Public Policy Statistical Theory Basic Assumption 
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  1. [1]
    Cronbach, L. J. Coefficient alpha and the internal structure of tests.Psychometrika, 1951,16, 297–334.Google Scholar
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    Kuder, G. F. and Richardson, M. W. The theory of the estimation of test reliability.Psychometrika, 1937,2, 151–160.Google Scholar
  3. [3]
    Lord, F. M. Sampling fluctuations resulting from the sampling of test items.Psychometrika, 1955,20, 1–22.Google Scholar

Copyright information

© Psychometric Society 1958

Authors and Affiliations

  • Samuel B. Lyerly
    • 1
  1. 1.Washington, D. C.

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