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The Variance Error of the P50-Discriminant

Published online by Cambridge University Press:  01 January 2025

Gilbert L. Betts
Gilbert L. Betts*
Affiliation:
Educational Test Bureau
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Abstract

The P50-discriminant has been reported elsewhere in connection with its use in predicting whether selective service registrants if inducted would become normal operative soldiers or would commit offenses causing their imprisonment. The standard error of the P50-discriminant is a good measure to use in determining how far to the side of this statistic a particular case falls. The standard error formula itself has also been published elsewhere; but its derivation, as the variance error, is given here.

Type
Original Paper
Information
Psychometrika , Volume 15 , Issue 4 , December 1950 , pp. 435 - 439
Copyright
Copyright © 1950 The Psychometric Society

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Footnotes

*

The author gratefully acknowledges the very extensive assistance kindly given to him by Dr. Truman L. Kelley and Dr. Frederick Mosteller. This assistance was given without reference to the utility of the P50-discriminant, upon which matter the author reports elsewhere and for which he takes full responsibility.

†

Betts, Gilbert L., The detection of incipient Army criminals. Science, 1947, 106, 93–96; and Betts, Gilbert L., Test calibration for categorical classification. Eduo. psychol. Meas., 1949, 9, 269–279.

‡

Privately published by the author.