Interpoint squared distance as a measure of spatial clustering
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S Selvin1, J Schulman, D W Merrill
1Department of Biomedical and Environmental Health Sciences, University of California, Berkeley, CA 94720.
Social Science & Medicine (1982)
|April 1, 1993
Abstract:
The expectation and variance for the mean interpoint squared distance are presented. In order to evaluate these expressions it is necessary to calculate the moments of a bivariate uniform distribution defined over an arbitrary polygon. Expressions for these moments are presented, allowing the mean interpoint squared distance to be used as a measure of spatial clustering. The distribution and power of this test statistic is explored on the unit square, and the spatial distribution of 11 cases of non-Hodgkin's lymphoma is investigated to illustrate an application of the approach.