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A Modified Aitken Pivotal Condensation Method for Partial Regression and Multiple Correlation

Published online by Cambridge University Press:  01 January 2025

Alice Van Boven
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Abstract

In this modification of the Aitken Pivotal Condensation Method for obtaining partial regression weights and multiple correlation coefficients, the unit matrices used by Aitken are eliminated, with a resultant decrease in the computational work. Through a simplified arrangement of successive matrices, each one is reduced by the same simple rule. Other modifications also contribute to ease of computation and facilitate checking.

Type
Original Paper
Information
Psychometrika , Volume 12 , Issue 2 , June 1947 , pp. 127 - 133
Copyright
Copyright © 1947 The Psychometric Society

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Footnotes

*

Thomson, Godfrey. The factorial analysis of human ability, Boston: Houghton Mifflin, 1939, pp. 89-95.

References

* Aitken, A. C. Determinants and matrices, Edinburgh: Oliver and Boyd, 1989, p. 47.