Variance and clustering

Yatracos, Yannis

doi:10.1090/S0002-9939-98-04524-9

Variance and clustering
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by Yannis G. Yatracos PDF

Proc. Amer. Math. Soc. 126 (1998), 1177-1179 Request permission

Abstract:

A measure of dissimilarity of real observations is introduced that is used to identify clusters and is based on “gaps”, and also on averages of selected subgroups of the observations. This measure is surprisingly associated with the sample variance in a way that leads to a new identity and interpretation of the notion of variance.

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