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Multiple source spatial cluster detection via multi-criteria analysis
Authors:Alexandre?C?L?Almeida  Luiz?H?Duczmal  Email author" target="_blank">André?L?F?Can?adoEmail author  Fabio?R?da?Silva
Institution:1.Department of Physics and Mathematics,Universidade Federal de S?o Jo?o del Rei,S?o Jo?o del Rei,Brazil;2.Department of Statistics,Universidade Federal de Minas Gerais,Belo Horizonte,Brazil;3.Department of Statistics,Universidade de Brasília,Brasília,Brazil;4.Department of Computer Science,Centro Federal de Educa??o Tecnológica de Minas Gerais,Belo Horizonte,Brazil
Abstract:Multiple data sources are essential to provide reliable information regarding the emergence of potential health threats, compared to single source methods. Spatial Scan Statistics have been adapted to analyze multivariate data sources, but only ad hoc procedures have been devised to address the problem of selecting the most likely cluster and computing its significance. In this work, information from multiple data sources of disease surveillance is incorporated to achieve more coherent spatial cluster detection using tools from multi-criteria analysis. The best cluster solutions are found by maximizing two objective functions simultaneously, based on the concept of dominance. To evaluate the statistical significance of solutions, a statistical approach based on the concept of attainment function is used. The multi-criteria approach has several advantages: the representation of the evaluation function for each data source is clear, and does not suffer from an artificial, and possibly confusing mixture with the other data source evaluations; it is possible to attribute, in a rigorous way, the statistical significance of each candidate cluster; and it is possible to analyze and pick-up the best cluster solutions, as given naturally by the non-dominated set. The methodology is illustrated with real datasets.
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