Spatial scan statistics using elliptic windows

L. E. Christiansen; J. S. Andersen; H. C. Wegener; H. Madsen

doi:10.1198/108571106X154858

Spatial scan statistics using elliptic windows

L. E. Christiansen, J. S. Andersen, H. C. Wegener, H. Madsen

9 Citations (Scopus)

Abstract

The spatial scan statistic is widely used to search for clusters. This article shows that the usually applied elimination of secondary clusters as implemented in SatScan is sensitive to smooth changes in the shape of the clusters. We present an algorithm for generation of a set of confocal elliptic windows and propose a new way to present the information when a spatial point process is considered. This method gives smooth changes for smooth expansions of the set of clusters. A simulation study is used to show how the elliptic windows outperforms the usual circular windows. The proposed method for graphical representation of the information in a set of clusters contain more information than just presenting nonoverlapping clusters. We suggest that more than one graphical representation of a set of clusters should be used to easily extract more information and to avoid pitfalls of the selected method.

Original language	English
Journal	Journal of Agricultural, Biological, and Environmental Statistics
Volume	11
Issue number	4
Pages (from-to)	411-424
Number of pages	14
ISSN	1085-7117
DOIs	https://doi.org/10.1198/108571106X154858
Publication status	Published - 1 Dec 2006

Keywords

Broilers
Campylobacter
Likelihood ratio
Monte Carlo
Overlapping clusters
SatScan

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10.1198/108571106X154858

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title = "Spatial scan statistics using elliptic windows",

abstract = "The spatial scan statistic is widely used to search for clusters. This article shows that the usually applied elimination of secondary clusters as implemented in SatScan is sensitive to smooth changes in the shape of the clusters. We present an algorithm for generation of a set of confocal elliptic windows and propose a new way to present the information when a spatial point process is considered. This method gives smooth changes for smooth expansions of the set of clusters. A simulation study is used to show how the elliptic windows outperforms the usual circular windows. The proposed method for graphical representation of the information in a set of clusters contain more information than just presenting nonoverlapping clusters. We suggest that more than one graphical representation of a set of clusters should be used to easily extract more information and to avoid pitfalls of the selected method.",

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T1 - Spatial scan statistics using elliptic windows

AU - Christiansen, L. E.

AU - Andersen, J. S.

AU - Wegener, H. C.

AU - Madsen, H.

PY - 2006/12/1

Y1 - 2006/12/1

N2 - The spatial scan statistic is widely used to search for clusters. This article shows that the usually applied elimination of secondary clusters as implemented in SatScan is sensitive to smooth changes in the shape of the clusters. We present an algorithm for generation of a set of confocal elliptic windows and propose a new way to present the information when a spatial point process is considered. This method gives smooth changes for smooth expansions of the set of clusters. A simulation study is used to show how the elliptic windows outperforms the usual circular windows. The proposed method for graphical representation of the information in a set of clusters contain more information than just presenting nonoverlapping clusters. We suggest that more than one graphical representation of a set of clusters should be used to easily extract more information and to avoid pitfalls of the selected method.

AB - The spatial scan statistic is widely used to search for clusters. This article shows that the usually applied elimination of secondary clusters as implemented in SatScan is sensitive to smooth changes in the shape of the clusters. We present an algorithm for generation of a set of confocal elliptic windows and propose a new way to present the information when a spatial point process is considered. This method gives smooth changes for smooth expansions of the set of clusters. A simulation study is used to show how the elliptic windows outperforms the usual circular windows. The proposed method for graphical representation of the information in a set of clusters contain more information than just presenting nonoverlapping clusters. We suggest that more than one graphical representation of a set of clusters should be used to easily extract more information and to avoid pitfalls of the selected method.

KW - Broilers

KW - Campylobacter

KW - Likelihood ratio

KW - Monte Carlo

KW - Overlapping clusters

KW - SatScan

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DO - 10.1198/108571106X154858

M3 - Journal article

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SP - 411

EP - 424

JO - Journal of Agricultural, Biological, and Environmental Statistics

JF - Journal of Agricultural, Biological, and Environmental Statistics

IS - 4

ER -

Spatial scan statistics using elliptic windows

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Keywords

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