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Bayesian Partitioning for Estimating Disease Risk

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  • D. G. T. Denison
  • C. C. Holmes

Abstract

Summary. This paper presents a Bayesian nonlinear approach for the analysis of spatial count data. It extends the Bayesian partition methodology of Holmes, Denison, and Mallick (1999, Bayesian partitioning for classification and regression, Technical Report, Imperial College, London) to handle data that involve counts. A demonstration involving incidence rates of leukemia in New York state is used to highlight the methodology. The model allows us to make probability statements on the incidence rates around point sources without making any parametric assumptions about the nature of the influence between the sources and the surrounding location.

Suggested Citation

  • D. G. T. Denison & C. C. Holmes, 2001. "Bayesian Partitioning for Estimating Disease Risk," Biometrics, The International Biometric Society, vol. 57(1), pages 143-149, March.
    • Handle: RePEc:bla:biomet:v:57:y:2001:i:1:p:143-149
    DOI: 10.1111/j.0006-341X.2001.00143.x
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    Cited by:

    1. Francisco Louzada & M�rio de Castro & Vera Tomazella & Jhon F.B. Gonzales, 2014. "Modeling categorical covariates for lifetime data in the presence of cure fraction by Bayesian partition structures," Journal of Applied Statistics, Taylor & Francis Journals, vol. 41(3), pages 622-634, March.
    2. Minge Xie & Qiankun Sun & Joseph Naus, 2009. "A Latent Model to Detect Multiple Clusters of Varying Sizes," Biometrics, The International Biometric Society, vol. 65(4), pages 1011-1020, December.
    3. Ian Dryden & Rahman Farnoosh & Charles Taylor, 2006. "Image segmentation using voronoi polygons and MCMC, with application to muscle fibre images," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(6), pages 609-622.
    4. Deborah A. Costain, 2009. "Bayesian Partitioning for Modeling and Mapping Spatial Case–Control Data," Biometrics, The International Biometric Society, vol. 65(4), pages 1123-1132, December.
    5. Leonhard Knorr-Held & Günter Raßer & Nikolaus Becker, 2002. "Disease Mapping of Stage-Specific Cancer Incidence Data," Biometrics, The International Biometric Society, vol. 58(3), pages 492-501, September.
    6. K C Flórez & A Corberán-Vallet & A Iftimi & J D Bermúdez, 2020. "A Bayesian unified framework for risk estimation and cluster identification in small area health data analysis," PLOS ONE, Public Library of Science, vol. 15(5), pages 1-17, May.
    7. Goepp, Vivien & van de Kassteele, Jan, 2024. "Graph-based spatial segmentation of areal data," Computational Statistics & Data Analysis, Elsevier, vol. 192(C).

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