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Alternative Solutions for Optimization Problems in Generalizability Theory

Published online by Cambridge University Press:  01 January 2025

Piet F. Sanders
Piet F. Sanders*
Affiliation:
National Institute for Educational Measurement (Cito), Arnhem, The Netherlands
*
Requests for reprints should be sent to Piet F. Sanders, Cito, PO Box 1034, 6801 MG Arnhem, THE NETHERLANDS.
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Abstract

Solutions for the problem of maximizing the generalizability coefficient under a budget constraint are presented. It is shown that the Cauchy-Schwarz inequality can be applied to derive optimal continuous solutions for the number of conditions of each facet.

Keywords

generalizability theoryCauchy-Schwarz inequalityoptimal designs
Type
Original Paper
Information
Psychometrika , Volume 57 , Issue 3 , September 1992 , pp. 351 - 356
Copyright
Copyright © 1992 The Psychometric Society

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Footnotes

The author thanks Sjoerd Baas and Agnes Broeren for their many helpful remarks.

References

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Sanders, P. F., Theunissen, T. J. J. M., Baas, S. (1991). Maximizing the coefficient of generalizability under the constraint of limited resources. Psychometrika, 56, 87–96.CrossRefGoogle Scholar
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Stuart, A. (1954). A simple presentation of optimum sampling results. Journal of the Royal Statistical Society, Series B, 16, 239–241.CrossRefGoogle Scholar
Woodward, J. A., Joe, G. W. (1973). Maximizing the coefficient of generalizability in multi-facet decision studies. Psychometrika, 38, 173–181.CrossRefGoogle Scholar