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The Role of Correlation in Analysis of Variance

Published online by Cambridge University Press:  01 January 2025

Clyde H. Coombs
Clyde H. Coombs*
Affiliation:
University of Michigan
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Abstract

A test of the significance of a row or column agent in an analysis of variance may be expressed in the form of correlation between the agent and the variate. A test of the significance of interaction variance may be expressed in the form of correlation between the agents. These expressions are principally of theoretical interest in that the degree of significance in an F test or the value of a correlation coefficient may be controlled at will, or inadvertently, within certain limits.

Type
Original Paper
Information
Psychometrika , Volume 13 , Issue 4 , December 1948 , pp. 233 - 243
Copyright
Copyright © 1948 The Psychometric Society

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Footnotes

*

This study was made possible by the Bureau of Psychological Services, Institute for Human Adjustment, Horace H. Rackham School of Graduate Studies, University of Michigan.

References

Peters, C. C. Interaction in analysis of variance interpreted as intercorrelation. Psychol. Bull., 1944, 41, 287–299.CrossRefGoogle Scholar
Peters, C. C. and Van Voorhis, W. R. Statistical Procedures and Their Mathematical Bases (pp. 353–353). New York: McGraw-Hill, Inc., 1940.CrossRefGoogle Scholar
Siegel, Paul S. and Stuckey, Helen L. The diurnal course of water and food intake in the normal mature rat. J. comp. physiol. Psychol., 1947, 40, 365–370.CrossRefGoogle ScholarPubMed