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Second-Order Analysis of Spatial Clustering for Inhomogeneous Populations

P. J. Diggle and A. G. Chetwynd
Biometrics
Vol. 47, No. 3 (Sep., 1991), pp. 1155-1163
DOI: 10.2307/2532668
Stable URL: http://www.jstor.org/stable/2532668
Page Count: 9
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Second-Order Analysis of Spatial Clustering for Inhomogeneous Populations
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Abstract

Motivated by recent interest in the possible spatial clustering of rare diseases, the paper develops an approach to the assessment of spatial clustering based on the second-moment properties of a labelled point process. The concept of no spatial clustering is identified with the hypothesis that in a realisation of a stationary spatial point process consisting of events of two qualitatively different types, the type 1 events are a random sample from the superposition of type 1 and type 2 events. A diagnostic plot for estimating the nature and physical scale of clustering effects is proposed. The availability of Monte Carlo tests of significance is noted. An application to published data on the spatial distribution of childhood leukaemia and lymphoma in North Humberside is described.

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