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Determination of Parameters of a Functional Relation by Factor Analysis

Published online by Cambridge University Press:  01 January 2025

Ledyard R Tucker
Ledyard R Tucker*
Affiliation:
Princeton University And Educational Testing Service
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Abstract

Consideration is given to determination of parameters of a functional relation between two variables by the means of factor analysis techniques. If the function can be separated into a sum of products of functions of the individual parameters and corresponding functions of the independent variable, particular values of the functions of the parameters and of the functions of the independent variables might be found by factor analysis. Otherwise approximate solutions may be determined. These solutions may represent important results from experimental investigations.

Type
Original Paper
Information
Psychometrika , Volume 23 , Issue 1 , March 1958 , pp. 19 - 23
Copyright
Copyright © 1958 The Psychometric Society

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Footnotes

*

This research was jointly supported in part by Princeton University, the Office of Naval Research under contract N6onr-270-20, and the National Science Foundation under grant NSF G-642.

References

Osgood, W. F. Advanced calculus, New York: Macmillan, 1925Google Scholar
Thurstone, L. L. Multiple-factor analysis, Chicago: Univ. Chicago Press, 1947Google Scholar
Wilson, E. B. Advanced calculus, Boston: Ginn, 1911Google Scholar