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Probabilistic Foundations for Coefficients of Generalizability

Published online by Cambridge University Press:  01 January 2025

John Edward Hunter
John Edward Hunter*
Affiliation:
Michigan State University
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Abstract

This paper explores certain problems which arise within the context of the theory of generalizability put forward by Cornbach, Rajaratnam, and Gleser. In particular, a formal explication of their theory for the single observation is given, and the various coefficients of generalizability which they define are related to the estimation of universe scores.

Type
Original Paper
Information
Psychometrika , Volume 33 , Issue 1 , March 1968 , pp. 1 - 18
Copyright
Copyright © 1968 The Psychometric Society

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Footnotes

*

This work is based on a Master's thesis submitted to the University of Illinois in 1963. The author is particularly indebted to Dr. Lee J. Cornbach and Dr. Ledyard R Tucker for their unstinted advice and help.

*

Because they will be referred to so often in this paper, I shall use the abbreviation CRG throughout.

References

Cronbach, L. J., Rajaratnam, N., and Gleser, G. C. Theory of generalizability: a liberalization of reliability theory. British Journal of Statistical Psychology, 1963, 16, 137–163.CrossRefGoogle Scholar
Doob, J. L. Stochastic processes, New York: John Wiley and Sons, 1953.Google Scholar
Rajaratnam, N., Cronbach, L. J., and Gleser, G. C. Reliability as Generalizability: Formulas Derived from a Random-sampling Assumption. Tech. Report, Bureau of Educational Research, University of Illinois, 1960.Google Scholar