Hostname: page-component-745bb68f8f-mzp66 Total loading time: 0 Render date: 2025-01-07T19:23:25.718Z Has data issue: false hasContentIssue false
  • English
  • Français

Informational Coverage and Correlational Analysis

Published online by Cambridge University Press:  01 January 2025

John Ross
John Ross*
Affiliation:
University of Western Australia
Get access Rights & Permissions [Opens in a new window]

Abstract

The question “How much does a set of variables tell us?” is formulated in terms of information measures, and a set of formulas is established which allows appropriate information measures to be derived from correlations. Particular attention is given to the question in the context of factor analysis and to formulas involving the latent roots of correlation matrices.

Type
Original Paper
Information
Psychometrika , Volume 27 , Issue 3 , September 1962 , pp. 297 - 306
Copyright
Copyright © 1962 The Psychometric Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Allport, G. W. and Odbert, H. S. Trait names: A psycholexical study. Psychol. Monogr., 1936, 47, 171–171.CrossRefGoogle Scholar
Anderson, T. W. An introduction to multivariate statistical analysis, New York: Wiley, 1958.Google Scholar
Burt, C. L. The factors of the mind, London: Univ. London Press, 1940.Google Scholar
Cattell, R. B. Personality and motivation structure and measurement, New York: World Book, 1957.Google Scholar
Fisher, R. A. The design of experiments, Edinburgh: Oliver and Boyd, 1942.Google Scholar
Graybill, F. A. An introduction to linear statistical models. Vol. 1, New York: McGraw-Hill, 1961.Google Scholar
Linfoot, E. H. An informational measure of correlation. Information and control, 1957, 1, 85–89.CrossRefGoogle Scholar
Shannon, C. A. and Weaver, W. The mathematical theory of communication, Urbana: Univ. Illinois Press, 1949.Google Scholar
Thomson, G. H. The factorial analysis of human ability, London: Univ. London Press, 1939.CrossRefGoogle Scholar
Thurstone, L. L. Multiple-factor analysis, Chicago: Univ. Chicago Press, 1947.Google Scholar
Watanabe, S. Information theoretical analysis of multivariate correlation. IBM J. Res. Development, 1960, 4, 66–82.CrossRefGoogle Scholar