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Predetermination of Test Weights

Published online by Cambridge University Press:  01 January 2025

Paul J. Hoffman
Paul J. Hoffman*
Affiliation:
The State College of Washington
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Abstract

Derivations are presented relating the length of a test to its weight in a composite. Tests of varying length are constructed so that their weights will be of predetermined magnitudes, and the results compared with expectations. Weighting schemes involving standard deviations of raw scores and of true scores are compared. An important secondary derivation is presented from which it is possible to estimate test reliability knowing only the relative length of a test, its shortened form, and the standard deviation of each.

Type
Original Paper
Information
Psychometrika , Volume 23 , Issue 1 , March 1958 , pp. 85 - 92
Copyright
Copyright © 1958 The Psychometric Society

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Footnotes

*

Now at University of Oregon.

References

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Wilks, S. S. Weighting systems for linear functions of correlated variables when there is no dependent variable. Psychometrika, 1938, 3, 23–40CrossRefGoogle Scholar