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Regression Analysis of Linear Composite Variance

Published online by Cambridge University Press:  01 January 2025

John A. Creager and
Lonnie D. Valentine Jr.
John A. Creager
Affiliation:
National Academy of Sciences, Washington, D. C.
Lonnie D. Valentine Jr.
Affiliation:
Personnel Laboratory, Aeronautical Systems Division, AFSC, USAF
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Abstract

The problem of defining and determining the effective contribution of a component variable to the variance of a composite is briefly reviewed. Another method of dealing with this problem is proposed and illustrated with analysis of a three-component problem. The proposed method is based on systematic application of a series of regressions and is restricted in application to positive manifold systems.

Information

Type
Original Paper
Information
Psychometrika , Volume 27 , Issue 1 , March 1962, pp. 31 - 37
Copyright
Copyright © 1962 The Psychometric Society

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Footnotes

*

This study was performed at Personnel Laboratory, WADD, Lackland AFB, Texas, under ARDC Project 7717, Task 87003. The opinions expressed in this paper are those of the authors and do not necessarily represent the official policy of either the National Academy of Sciences or of the USAF.

†

Formerly of Personnel Laboratory, WADD, Air Research and Development Command, LaekIand AFB, Texas.

References

Dwyer, P. S. The determination of the factor loadings of a given test from the known factor loadings of other tests. Psychometrika, 1937, 2, 173–178.CrossRefGoogle Scholar
Gordon, M. A. Tables for predicting success from stanines, Lackland Air Force Base, Texas: Air Force Personnel and Training Research Center, 1954.CrossRefGoogle Scholar
Gulliksen, H. Theory of mental tests, New York: Wiley, 1950.CrossRefGoogle Scholar
Humphreys, L. G. A method of illustrating the effects of different weights of a variable in a composite, Lackland Air Force Base, Texas: Air Force Personnel and Training Research Center, 1956.Google Scholar
Richardson, M. W. The combination of measures. In Horst, P. (Eds.), The prediction of personal adjustment. New York: Social Science Research Council, 1941, 379–401.Google Scholar
Wilks, S. S. Weighting systems for linear functions of correlated variables when there is no dependent variable. Psychometrika, 1938, 3, 23–40.CrossRefGoogle Scholar