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Sample and Population Score Matrices and Sample Correlation Matrices from an Arbitrary Population Correlation Matrix

Published online by Cambridge University Press:  01 January 2025

Henry F. Kaiser  and
Kern Dickman
Henry F. Kaiser
Affiliation:
University of Illinois
Kern Dickman
Affiliation:
University of Illinois
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Abstract

A method for generating sample and population score matrices and sample correlation matrices from a given population correlation matrix is developed. An example giving the desired matrices for a population Guttman simplex correlation matrix is presented.

Type
Original Paper
Information
Psychometrika , Volume 27 , Issue 2 , June 1962 , pp. 179 - 182
Copyright
Copyright © 1962 The Psychometric Society

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Footnotes

*

The computations for this paper were done on Illiac, an electronic computer of the Digital Computer Laboratory of the University of Illinois. Mr. S. Hunka assisted in these computations. The final version of this paper was prepared while the senior author was a U. S. Public Health Service Fellow at the Center for Advanced Study in the Behavioral Sciences.

References

Dixon, W. J. and Massey, F. J. Introduction to statistical analysis (2nd ed.), New York: McGraw-Hill, 1957.CrossRefGoogle Scholar
Guttman, L. A new approach to factor analysis: the radex. In Lazarsfeld, P. F. (Eds.), Mathematical thinking in the social sciences. Glencoe, Ill.: The Free Press, 1954, 258–348.Google Scholar
Hoffman, P. J. Generating variables with arbitrary parameters. Psychometrika, 1959, 24, 265–267.CrossRefGoogle Scholar