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The Multiple Factor Theory in Terms of Common Elements

Published online by Cambridge University Press:  01 January 2025

Gertrude M. Cox
Gertrude M. Cox*
Affiliation:
Iowa State College
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Abstract

With the mechanism of common elements we designed numerous sets of variates correlated with each other in a known manner and also correlated with the primary and specific factors in the same predetermined fashion. To the correlations from theoretical populations, and also from experimental samples, Thurstone's centroid method of factoring was applied. The resulting centroid co-ordinates were rotated to yield the test vectors. These vectors were close approximations to the theoretical and sample correlations.

Type
Original Paper
Information
Psychometrika , Volume 4 , Issue 1 , March 1939 , pp. 59 - 68
Copyright
Copyright © 1939 The Psychometric Society

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References

* Spearman, C. “The Proof and Measurement of Association Between Two Things,” American. Journal of Psychology, 1904, 15, 72-101.

Weldon, W. F. R. “Inheritance in Animals and Plants,” in Lectures on the Method of Science. Edited by T. B. Strong, Oxford: Clarendon Press, 1906.

Brown, William. The Essentials of Mental Measurement, Cambridge: The University Press, 1911.

Kepteyn, J. C. “Definition of the Correlation Coefficient,” Monthly Notices of the Royal Astronomical Society, 1912, 72, 518-525.

Rietz, H. L. “A Simple Non-Normal Correlation Surface,” Biometrika, 1932, 24, 288-290.

Fischer. Carl H. “On Correlation Surfaces of Sums with a Certain Number of Random Elements in Common,” The Annals of Mathematical Statistics, 1933, 4, 103-126.

* Thurstone, L. L. The Vectors of Mind, Chicago: The University of Chicago Press, 1935.

† Sample correlation of elements in primary traint with total elements in test.