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A Significance Test for Minimum Rank in Factor Analysis

Published online by Cambridge University Press:  01 January 2025

Paul G. Hoel
Paul G. Hoel*
Affiliation:
University of California at Los Angeles
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Abstract

This paper presents a new method of determining the minimum rank in factor analysis, appropriate to the principal axes solution. The new method is compared with a former method which, with some adjustment, is more convenient for the centroid approach. Both methods are applied to two familiar examples.

Type
Original Paper
Information
Psychometrika , Volume 4 , Issue 4 , December 1939 , pp. 245 - 253
Copyright
Copyright © 1939 The Psychometric Society

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References

Hoel, Paul G. A significance test for component analysis. Ann. Math. Statist., 1937, 8, 149–158.CrossRefGoogle Scholar
Hotelling, Harol. Analysis of a complex of statistical variables into principal components. J. educ. Psychol., 1933, 24, 437–441.CrossRefGoogle Scholar
Holzinger, K. J. Statistical resumé of the Spearman two factor theory, Chicago: Univ. Chicago Press, 1930.Google Scholar