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Regression Weights as a Function of Test Length

Published online by Cambridge University Press:  01 January 2025

Paul Horst
Paul Horst*
Affiliation:
The University of Washington
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Abstract

A battery of pencil-and-paper tests is commonly used for predicting a single criterion. If the score on each test is the number of correct answers, the composite battery score would normally be the sum of the weighted test scores, where the weights are the raw score regression weights. Knowing the reliability of each test, it is possible to alter the lengths of the tests in a manner such that the weights will all be equal. The composite battery score would then simply be the total number of items answered correctly and scoring would be greatly simplified. Such simplification is particularly desirable where the volume of testing is large. Section I of the article outlines the procedure for altering the lengths of the tests, and Section II gives a proof of the method.

Type
Original Paper
Information
Psychometrika , Volume 13 , Issue 3 , September 1948 , pp. 125 - 134
Copyright
Copyright © 1948 The Psychometric Society

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