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The Approximate Sampling Distribution of Kuder-Richardson Reliability Coefficient Twenty

Published online by Cambridge University Press:  01 January 2025

Leonard S. Feldt
Leonard S. Feldt*
Affiliation:
State University of Iowa
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Abstract

An approximation to the sampling distribution of Kuder-Richardson reliability formula 20 is derived, using its algebraic equivalent obtained through an items-by-subjects analysis of variance. The theoretical distribution is compared to empirical estimates of the sampling distribution to assess how crucial certain assumptions are. The use of the theoretical distribution for testing hypotheses and deriving confidence intervals is illustrated. A table of equations for approximating 80, 90, and 95 per cent confidence intervals is presented with N ranging from 40 to 500.

Information

Type
Original Paper
Information
Psychometrika , Volume 30 , Issue 3 , September 1965, pp. 357 - 370
Copyright
Copyright © 1965 Psychometric Society

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