title: Interpoint squared distance as a measure of spatial clustering.
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.
authors: Department of Biomedical and Environmental Health Sciences, University of California, Berkeley, CA 94720.
authors: S
authors: S
authors: Selvin
authors: J
authors: J
authors: Schulman
authors: D W
authors: DW
authors: Merrill
mesh_terms: D016000:Cluster Analysis; D006801:Humans; D008228:Lymphoma, Non-Hodgkin / Q000453:epidemiology; D008433:Mathematics; D012495:San Francisco / Q000453:epidemiology