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Least Squares Estimates and Optimal Classification

Published online by Cambridge University Press:  01 January 2025

Hubert E. Brogden
Hubert E. Brogden*
Affiliation:
Personnel Research Branch the Adjutant General's Office Department of the Army
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Abstract

A simple algebraic development is given showing that criterion estimates derived by usual multiple regression procedures are optimal for personnel classification. It is also shown that, for any assignment of men to jobs, the sum of the multiple regression criterion estimates will equal the sum of the actual criterion scores.

Type
Original Paper
Information
Psychometrika , Volume 20 , Issue 3 , September 1955 , pp. 249 - 252
Copyright
Copyright © 1955 The Psychometric Society

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Footnotes

*

The opinions expressed are those of the author and are not to be construed as reflecting official Department of the Army policy.

†

In practice, the Cij would obviously not be available for all individuals in each job. Regression equations applying to the same universe can be estimated through a series of validation studies with a separate study being necessary for each job. In actual use the Cij could then be computed for each applicant in each job.

References

Brogden, H. E.. An approach to the problem of differential prediction. Psychometrika, 1946, 11, 139–154CrossRefGoogle Scholar
Brogden, H. E.. Increased efficiency of selection resulting from replacement of a single predictor with several differential predictors. Educ. psychol. Meas., 1951, 11, 173–195CrossRefGoogle Scholar