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Minimizing the Number of Observations: A Generalization of the Spearman-Brown Formula

Published online by Cambridge University Press:  01 January 2025

P. F. Sanders*
Affiliation:
National Institute for Educational Measurement (CITO)
T. J. J. M. Theunissen
Affiliation:
National Institute for Educational Measurement (CITO)
S. M. Baas
Affiliation:
Twente University
*
Requests for reprints should be sent to P. F. Sanders, Cito PO Box 1034, 6801 MG Arnhem, THE NETHERLANDS.

Abstract

A new method for determining the minimum number of observations per subject needed to achieve a specific generalizability coefficient is presented. This method, which consists of a branch-and-bound algorithm, allows for the employment of constraints specified by the investigator.

Type
Original Paper
Copyright
Copyright © 1989 The Psychometric Society

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References

Brennan, R. L. (1983). Elements of generalizability theory, Iowa City: ACT.Google Scholar
Cardinet, J., & Allal, L. (1983). Estimation of generalizability parameters. In Fyans, L. J. (Eds.), Generalizability theory: Inferences and practical applications (pp. 1748). San Francisco: Jossey-Bass.Google Scholar
Cardinet, J., & Tourneur, Y. (1985). Assurer la mesure [Adequate Measurement], Bern: Peter Lang.Google Scholar
Crick, J. E., & Brennan, R. L. (1982). GENOVA: A generalized analysis of variance system (FORTRAN IV computer program and manual), Iowa City: ACT.Google Scholar
Cronbach, L. J., Gleser, G. C., Nanda, H., & Rajaratnam, N. (1972). The dependability of behavioral measurements, New York: Wiley.Google Scholar
Papadimitriou, Ch. H., & Steiglitz, K. (1982). Combinatorial optimization: Algorithms and complexity, Englewood Cliffs: Prentice-Hall.Google Scholar
Salkin, H. M. (1975). Integer programming, Reading, MA: Addison-Wesley.Google Scholar
Theunissen, T. J. J. M. (1985). Binary programming and test design. Psychometrika, 50, 411420.CrossRefGoogle Scholar
van der Linden, W. J., & Boekkooi-Timminga, E. (1989). A maximim model for test design with practical constraints. Psychometrika, 54, 237247.CrossRefGoogle Scholar
Woodward, J. A., & Joe, G. W. (1973). Maximizing the coefficient of generalizability in multi-facet decision studies. Psychometrika, 38, 173181.CrossRefGoogle Scholar