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The Computer Journal 1971 14(2):157-162; doi:10.1093/comjnl/14.2.157
© 1971 by British Computer Society
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Group-size dependence: a rationale for choice between numerical classifications

W. T. Williams1 *, H. T. Clifford2 § and G. N. Lance3 ¶

1 CSIRO, Division of Tropical Pastures, St. Lucia, Queensland, Australia, 2 Botany Department, University of Queensland, St. Lucia, Queensland, Australia, 3 CSIRO, Division of Computing Research, Canberra City, Australia

The problem of erecting criteria for choice between numerical classifications is briefly surveyed: it is concluded that the most difficult case arises in the synoptic classification of highly heterogeneous data, for which a powerful clustering system is essential, and for which several alternative strategies are in common use. In all such strategies an inter-group or individual-group measure is dependent on the size of the group, but the nature of this dependence has not previously been investigated. It is here investigated for four widely-used strategies, and appropriate conclusions drawn as to their differing applicability to particular types of problem.

Received January 1970.

* CSIRO, Division of Tropical Pastures, St. Lucia, Queensland, 4067, Australia.

§ Botany Department, University of Queensland, St. Lucia, Queensland, 4067, Australia.

CSIRO, Division of Computing Research, Canberra City, ACT 2061, Australia.


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