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A Comparison of the Thurstone Method of Multiple Factors with the Hotelling Method of Principal Components

Published online by Cambridge University Press:  01 January 2025

C. H. McCloy ,
Eleanor Metheny  and
Virginia Knott
C. H. McCloy
Affiliation:
Iowa Child Welfare Research Station
Eleanor Metheny
Affiliation:
Iowa Child Welfare Research Station
Virginia Knott
Affiliation:
Iowa Child Welfare Research Station
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Abstract

The factors found by the Hotelling method of principal components present the same necessity for rotation as those found by the Thurstone method of multiple factors.

The Thurstone method of multiple factors is here found superior to the Hotelling method of principal components, and is suggested as the method of choice for all problems requiring the determination of elemental components from a group of related variables, since it was found on every point of comparison that, when applied to a correlation matrix of unknown communalities, the Thurstone method was more accurate than the Hotelling method, and also required much less time.

Type
Original Paper
Information
Psychometrika , Volume 3 , Issue 2 , June 1938 , pp. 61 - 67
Copyright
Copyright © 1938 The Psychometric Society

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Footnotes

*

L. L. Thurstone, A Simplified Multiple Factor Method and an Outline of the Computations. (Autographic reproduction of typewritten copy) Chicago: The University of Chicago, 1933.

†

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

‡

Harold Hotelling, “Analysis of a Complex of Statistical Variables into Principal Components.” Journal of Educational Psychology, XXIV: 417-441, 498- 520. September and October, 1933.