Interpoint squared distance as a measure of spatial clustering

S. Selvin, J. Schulman and D.W. Merrill

Social Science & Medicine, 1993, vol. 36, issue 8, 1011-1016

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.

Keywords: mean; interpoint; squared; distance; moments; power; spatial; analysis; lymphoma (search for similar items in EconPapers)
Date: 1993
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