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Optimal Test Length for Multiple Prediction: The General Case

Published online by Cambridge University Press:  01 January 2025

Paul Horst  and
Charlotte MacEwan
Paul Horst
Affiliation:
University of Washington
Charlotte MacEwan
Affiliation:
University of Washington
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Abstract

The concepts of differential prediction and multiple absolute prediction were developed in earlier papers [2, 3]. Methods for determining optimal distribution of testing time for each type of prediction are available [4, 5] and are appropriate for use provided that no altered time allotment approaches zero. In this article the methods developed in [4, 5] are extended to include cases where the altered time allotment for one or more tests may approach zero. The procedures developed are illustrated by numerical examples, after which the mathematical rationales are provided.

Type
Original Paper
Information
Psychometrika , Volume 22 , Issue 4 , December 1957 , pp. 311 - 324
Copyright
Copyright © 1957 The Psychometric Society

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Footnotes

*

This research was carried out under Contract Nonr-477(08) between the University of Washington and the Office of Naval Research. The authors express their appreciation to Shun Mei Ling for carrying out the computations, and to Elizabeth Cross for typing the manuscript for publication.

References

Horst, P. Determination of optimal test length to maximize the multiple correlation. Psychometrika, 1949, 14, 79–88CrossRefGoogle ScholarPubMed
Horst, P. A technique for the development of a differential prediction battery. Psychol. Monogr. 1954, 68, No. 9 (Whole No. 380).CrossRefGoogle Scholar
Horst, P. A technique for the development of a multiple absolute prediction battery. Psychol. Monogr. 1955, 69, No. 5 (Whole No. 390).CrossRefGoogle Scholar
Horst, P. Optimal test length for maximum differential prediction. Psychometrika, 1956, 21, 51–66CrossRefGoogle Scholar
Horst, P. and MacEwan, Charlotte Optimal test length for maximum absolute prediction. Psychometrika, 1956, 21, 111–124CrossRefGoogle Scholar
Horst, P. Servant of the human sciences. Unpublished manuscript. Division of Counseling and Testing Services, Univ. of Washington, May 1953.Google Scholar