Second-order analysis of spatial clustering for inhomogeneous populations

P. J. Diggle, A. G. Chetwynd

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)1155-1163
Number of pages9
JournalBiometrics
Volume47
Issue number3
StatePublished - 1991
Externally publishedYes

Fingerprint

Spatial Clustering
Spatial Analysis
lymphoma
leukemia
childhood
Spatial distribution
Cluster Analysis
Availability
spatial distribution
Diagnostic Plot
Monte Carlo Test
Spatial Point Process
Population
Leukemia
testing
Point Process
Spatial Distribution
sampling
Superposition
Rare Diseases

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Public Health, Environmental and Occupational Health
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics
  • Statistics and Probability

Cite this

Diggle, P. J., & Chetwynd, A. G. (1991). Second-order analysis of spatial clustering for inhomogeneous populations. Biometrics, 47(3), 1155-1163.

Second-order analysis of spatial clustering for inhomogeneous populations. / Diggle, P. J.; Chetwynd, A. G.

In: Biometrics, Vol. 47, No. 3, 1991, p. 1155-1163.

Research output: Contribution to journalArticle

Diggle, PJ & Chetwynd, AG 1991, 'Second-order analysis of spatial clustering for inhomogeneous populations', Biometrics, vol. 47, no. 3, pp. 1155-1163.
Diggle, P. J. ; Chetwynd, A. G. / Second-order analysis of spatial clustering for inhomogeneous populations. In: Biometrics. 1991 ; Vol. 47, No. 3. pp. 1155-1163.
@article{a5052981408442c3b904f2dc5b835ce8,
title = "Second-order analysis of spatial clustering for inhomogeneous populations",
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.",
author = "Diggle, {P. J.} and Chetwynd, {A. G.}",
year = "1991",
language = "English (US)",
volume = "47",
pages = "1155--1163",
journal = "Biometrics",
issn = "0006-341X",
publisher = "Wiley-Blackwell",
number = "3",

}

TY - JOUR

T1 - Second-order analysis of spatial clustering for inhomogeneous populations

AU - Diggle, P. J.

AU - Chetwynd, A. G.

PY - 1991

Y1 - 1991

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0026014247&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026014247&partnerID=8YFLogxK

M3 - Article

VL - 47

SP - 1155

EP - 1163

JO - Biometrics

JF - Biometrics

SN - 0006-341X

IS - 3

ER -