Diggle P J, Chetwynd A G
Department of Mathematics, Lancaster University, England.
Biometrics. 1991 Sep;47(3):1155-63.
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.
受近期对罕见病可能存在的空间聚集现象的关注所推动，本文基于标记点过程的二阶矩特性，开发了一种评估空间聚集的方法。无空间聚集的概念与以下假设相关：在由两种性质不同类型事件组成的平稳空间点过程的一次实现中，1型事件是1型和2型事件叠加后的随机样本。提出了一种用于估计聚集效应性质和物理尺度的诊断图。文中指出了蒙特卡罗显著性检验的可用性。描述了其在北亨伯赛德郡儿童白血病和淋巴瘤空间分布的已发表数据中的应用。
