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Determination of parameters of a functional relation by factor analysis

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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.

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References

  1. Osgood, W. F.Advanced calculus. New York: Macmillan, 1925.

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  2. Thurstone, L. L.Multiple-factor analysis. Chicago: Univ. Chicago Press, 1947.

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  3. Wilson, E. B.Advanced calculus. Boston: Ginn, 1911.

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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.

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Tucker, L.R. Determination of parameters of a functional relation by factor analysis. Psychometrika 23, 19–23 (1958). https://doi.org/10.1007/BF02288975

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  • DOI: https://doi.org/10.1007/BF02288975

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