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A New Method for Solving Simultaneous Linear Equations Associated with Multivariate Analysis

Published online by Cambridge University Press:  01 January 2025

F. R. Watson
F. R. Watson*
Affiliation:
University of Illinois
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Abstract

A method is outlined whereby the equations resulting from multivariate analyses may be solved. Only the upper or lower triangular coefficient matrix need be employed. All solutions involving any combination(s) of the variables represented in the coefficient matrix are readily obtainable without permutation of the matrix. All solutions are given immediately without the need for back solving. One variable is added to or subtracted from the regression equation with each application of the method. The method may be applied as repeatedly as needed for any particular solution.

Type
Original Paper
Information
Psychometrika , Volume 29 , Issue 1 , March 1964 , pp. 75 - 86
Copyright
Copyright © 1964 Psychometric Society

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References

Anderson, T. W. An introduction to multivariate statistical analysis, New York: Wiley, 1958.Google Scholar
Cochran, W. G. The omission or addition of an independent variate in multiple linear regression. J. roy. statist. Soc., 1938, 5 Supplement171–176.CrossRefGoogle Scholar
DuBois, P. H. Multivariate correlational analysis, New York: Harper, 1957.Google Scholar
Dwyer, P. S.. Linear computations, New York: Wiley, 1951.Google Scholar
Fisher, R. A. Statistical methods for research workers (10th ed.), New York: Hafner, 1948.Google Scholar
Kempthorne, O. The design and analysis of experiments, New York: Wiley, 1952.CrossRefGoogle Scholar
Scheffé, H. The analysis of variance, New York: Wiley, 1959.Google Scholar