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Flexible-Elliptical Spatial Scan Method

Author

Listed:
  • Mohammad Meysami

    (Department of Mathematics, Clarkson University, Potsdam, NY 13699, USA)

  • Joshua P. French

    (Department of Mathematical and Statistical Sciences, University of Colorado Denver, Denver, CO 80204, USA)

  • Ettie M. Lipner

    (National Institute of Allergy and Infectious Diseases, National Institutes of Health, Bethesda, MD 20892, USA)

Abstract

The detection of disease clusters in spatial data analysis plays a crucial role in public health, while the circular scan method is widely utilized for this purpose, accurately identifying non-circular (irregular) clusters remains challenging and reduces detection accuracy. To overcome this limitation, various extensions have been proposed to effectively detect arbitrarily shaped clusters. In this paper, we combine the strengths of two well-known methods, the flexible and elliptic scan methods, which are specifically designed for detecting irregularly shaped clusters. We leverage the unique characteristics of these methods to create candidate zones capable of accurately detecting irregularly shaped clusters, along with a modified likelihood ratio test statistic. By inheriting the advantages of the flexible and elliptic methods, our proposed approach represents a practical addition to the existing repertoire of spatial data analysis techniques.

Suggested Citation

  • Mohammad Meysami & Joshua P. French & Ettie M. Lipner, 2023. "Flexible-Elliptical Spatial Scan Method," Mathematics, MDPI, vol. 11(17), pages 1-22, August.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:17:p:3627-:d:1222545
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    References listed on IDEAS

    as
    1. Julian Besag & James Newell, 1991. "The Detection of Clusters in Rare Diseases," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 154(1), pages 143-155, January.
    2. Kulldorff, Martin & Tango, Toshiro & Park, Peter J., 2003. "Power comparisons for disease clustering tests," Computational Statistics & Data Analysis, Elsevier, vol. 42(4), pages 665-684, April.
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