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A Simplified Method for Approximating Multiple Regression Coefficients

Published online by Cambridge University Press:  01 January 2025

J. A. Gengerelli
J. A. Gengerelli*
Affiliation:
University of California, Los Angeles
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Abstract

A method of exhaustion has been described for calculating regression coefficients. This method dispenses with the solution of simultaneous equations but utilizes a process of successive extraction in obtaining β's, where each successive β is maximized. This procedure permits the worker to discard as he goes along those weights which are deemed unsatisfactory for purposes of prediction. The β coefficients and the R in a problem involving a criterion and six independent variables were calculated in sixty minutes. The R's obtained by this method are smaller than those yielded by the Doolittle technique, but in problems which have been considered this discrepancy has not exceeded .05.

Type
Original Paper
Information
Psychometrika , Volume 13 , Issue 3 , September 1948 , pp. 135 - 146
Copyright
Copyright © 1948 The Psychometric Society

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