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A Bayesian Approach to Disease Clustering

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In the disease clustering problem, only a few Bayesian approach have been applied. Gangnon and Clayton [1] is one of those few and they developed an approach to make an inference on the parameters of a simple model (Poisson-Gamma) for spatial clustering. Their method do not require cluster locations, shapes, or boundaries to be pre-specified. They rather assume a prior information of the clusters (such as shapes, sizes, and etc.) using a class of priors on a Markov connected component field (MCCF). In this work, we first implemented their approach using the free statistical software R and also proposed a couple of ways to improve the efficiency of the algorithm and reduce the computing time. Based on the results, we will propose a new tree-based method, which can improve the algorithm further more, in the future.

Abstract

In the disease clustering problem, only a few Bayesian approach have been applied. Gangnon and Clayton [1] is one of those few and they developed an approach to make an inference on the parameters of a simple model (Poisson-Gamma) for spatial clustering. Their method do not require cluster locations, shapes, or boundaries to be pre-specified. They rather assume a prior information of the clusters (such as shapes, sizes, and etc.) using a class of priors on a Markov connected component field (MCCF). In this work, we first implemented their approach using the free statistical software R and also proposed a couple of ways to improve the efficiency of the algorithm and reduce the computing time. Based on the results, we will propose a new tree-based method, which can improve the algorithm further more, in the future.

참고문헌 (19)

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  12. Lawson AB, "Disease mapping and risk assessment for public health, chapter Markov chain Monte Carlo methods for putative sources of hazard and general clustering" (1999), Wiley
  13. Gangnon RE, "A hierarchical model for spatially clustered disease rates", Stat Med, 22, pp.3213~3228 (2003)
  14. Assuncao R, "Fast detection of arbitrarily shaped disease clusters", Stat Med, 25, pp.723~742 (2006)
  15. Neill D, "Advances in Neural Information Processing Systems 16, chapter A fast multi-resolution method for detection of significant spatial disease clusters" (2003), The MIT Press
  16. Neill D, "Rapid detection of significant spatial clusters", Conference on Knowledge Discovery in Databases (KDD), pp.256~265 (2004)
  17. Neill D, "Anomalous spatial cluster detection", Proceedings of the KDD 2005 workshop on data mining methods for anomaly detection (2005)
  18. Neill D, "Advances in Neural Information Processing Systems 17, chapter Detecting significant multidimensional spatial clusters", ~ (2005)
  19. Madigan D, "Model selection and accounting for model uncertainty in graphical models using occam’s window", J Am Stat Assoc, 89, pp.1535~1546 (1994)

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