点间平方距离作为空间聚类的一种度量。

Interpoint squared distance as a measure of spatial clustering.

作者信息

Selvin S, Schulman J, Merrill D W

机构信息

Department of Biomedical and Environmental Health Sciences, University of California, Berkeley, CA 94720.

出版信息

Soc Sci Med. 1993 Apr;36(8):1011-6. doi: 10.1016/0277-9536(93)90118-n.

DOI:10.1016/0277-9536(93)90118-n

PMID:8475416

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.

摘要

给出了平均点间平方距离的期望和方差。为了评估这些表达式，有必要计算定义在任意多边形上的二元均匀分布的矩。给出了这些矩的表达式，从而使平均点间平方距离能够用作空间聚类的一种度量。在单位正方形上探讨了该检验统计量的分布和功效，并对11例非霍奇金淋巴瘤的空间分布进行了研究，以说明该方法的应用。