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Relationships between Two Systems of Factor Analysis

Published online by Cambridge University Press:  01 January 2025

C. W. Harris
C. W. Harris*
Affiliation:
University of Wisconsin
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Abstract

Considering only population values, it is shown that the complete set of factors of a correlation matrix with units in the diagonal cells may be transformed into the factors derived by factoring these correlations with communalities in the diagonal cells. When the correlations are regarded as observed values, the common factors derived as a transformation of the complete set of factors of the correlation matrix with units in the diagonal cells satisfy Lawley's requirement for a maximum likelihood solution and are a first approximation to Rao's canonical factors.

Type
Original Paper
Information
Psychometrika , Volume 21 , Issue 2 , June 1956 , pp. 185 - 190
Copyright
Copyright © 1956 The Psychometric Society

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References

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