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The Determination of the Factor Loadings of a given Test from the Known Factor Loadings of Other Tests

Published online by Cambridge University Press:  01 January 2025

Paul S. Dwyer
Paul S. Dwyer*
Affiliation:
University of Michigan
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Abstract

A technique is indicated by which approximations to the factor loadings of a new test may be obtained if factor loadings of a given group of tests and the correlations of the new test with the other tests are known. The technique is applicable to any orthogonal system and is especially adapted to cases in which Σajiajk = 0 when i ≠ k. Application is also made to the simultaneous determination of the factor weights of a group of tests in which no additional common factor is present. The technique is useful in adding tests to a completed factorial solution and in using factorial solutions involving errors to give results which are approximately correct.

Type
Original Paper
Information
Psychometrika , Volume 2 , Issue 3 , September 1937 , pp. 173 - 178
Copyright
Copyright © 1937 The Psychometric Society

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References

Thurstone, L. L. The Vectors of Mind. University of Chicago Press, 1935.Google Scholar
Hotelling, H. "Analysis of a Complex of Statistical Variables into Principal Components," Journal of Educational Psychology, Sept.-Oct., 1933, 24.CrossRefGoogle Scholar
Dwyer, P. S. "The Simultaneous Computation of Groups of Regression Equations and Associated Multiple Correlation Coefficients," Annals of Mathematical Statistics, December, 1937.CrossRefGoogle Scholar