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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

Information

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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Woodward, J. A., Joe, G. W. (1973). Maximizing the coefficient of generalizability in multi-facet decision studies. Psychometrika, 38, 173–181.CrossRefGoogle Scholar