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Interpoint squared distance as a measure of spatial clustering

Author

Listed:
  • Selvin, S.
  • Schulman, J.
  • Merrill, D.W.

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.

Suggested Citation

  • Selvin, S. & Schulman, J. & Merrill, D.W., 1993. "Interpoint squared distance as a measure of spatial clustering," Social Science & Medicine, Elsevier, vol. 36(8), pages 1011-1016, April.
    • Handle: RePEc:eee:socmed:v:36:y:1993:i:8:p:1011-1016
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    Cited by:

    1. Reza Modarres, 2018. "Multinomial interpoint distances," Statistical Papers, Springer, vol. 59(1), pages 341-360, March.
    2. Modarres, Reza, 2016. "Multivariate Poisson interpoint distances," Statistics & Probability Letters, Elsevier, vol. 112(C), pages 113-123.

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