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Prediction in Future Samples Studied in Terms of the Gain from Selection

Published online by Cambridge University Press:  01 January 2025

Alan L. Gross
Alan L. Gross*
Affiliation:
City University of New York
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Abstract

The gain from selection (GS) is defined as the standardized average performance of a group of subjects selected in a future sample using a regression equation derived on an earlier sample. Expressions for the expected value, density, and distribution function (DF) of GS are derived and studied in terms of sample size, number of predictors, and the prior distribution assigned to the population multiple correlation. The DF of GS is further used to determine how large sample sizes must be so that with probability .90 (.95), the expected GS will be within 90 percent of its maximum possible value. An approximately unbiased estimator of the expected GS is also derived.

Type
Original Paper
Information
Psychometrika , Volume 38 , Issue 2 , June 1973 , pp. 151 - 172
Copyright
Copyright © 1973 The Psychometric Society

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