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A Simple Proof of the Spearman-Brown Formula for Continuous Test Lengths

Published online by Cambridge University Press:  01 January 2025

Paul D. Allison
Paul D. Allison*
Affiliation:
State University of New York at Stony Brook
*
Requests for reprints should be sent to Paul D, Allison, Department of Sociology, State University of New York at Stony Brook, Stony Brook, New York 11794.
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Abstract

A direct proof is given for the generalized Spearman-Brown formula for any real multiple of test length.

Type
Original Paper
Information
Psychometrika , Volume 41 , Issue 1 , March 1976 , pp. 135 - 136
Copyright
Copyright © 1976 The Psychometric Society

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References

Lord, F. M., and Novick, M. R. Statistical theories of mental test scores, 1968, Reading, Mass.: Addison-Wesley.Google Scholar
Woodbury, M. The stochastic model of mental testing theory and an application. Psychometrika, 1963, 28, 391–394.CrossRefGoogle Scholar