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Kendall's “Tau” Coefficient as an Index of Similarity in Comparisons of Plant or Animal Communities

Published online by Cambridge University Press:  31 May 2012

A. W. Ghent
Affiliation:
Department of Zoology, the University of Oklahoma, Norman, Okla.

Abstract

Comparisons of ecologic communities are often limited to presentations of frequency lists in tabular or bar-graph form. Kendall's “Tau” coefficient is appropriate as a measure of rank correlation between such numerical profiles. A special problem arises where species in one community are absent from the other. Such species may either be assigned zero frequency and last-place ranking in the community where they are absent, or they may be dropped from both rankings, depending on which method yields the more conservative correlation. Tau has the same limits (± 1) as the familiar product-moment correlation coefficient. Moreover, as a nonparametric statistic it is free of considerations of distribution. Comparisons between soil-fauna communities from the Quetico-Superior forest area are used to illustrate the method. The problems of tied rankings, variance and significance of Tau, confidence limits for Tau, and the significance of a difference between Tau coefficients, are also considered.

Type
Articles
Copyright
Copyright © Entomological Society of Canada 1963

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References

Greiner, R. 1909. Über das Fehlersystem der Kollektivmasslehre. Zeitschrift für Mathematik und Physik, 57: 121, 225, and 337.Google Scholar
Kendall, M. G. 1955. Rank correlation methods. Charles Griffin & Co. Ltd., London. vii + 196 pp.Google Scholar