Adjusted Inference for the Spatial Scan Statistic

  • Alexandre C. L. Almeida
  • Anderson R. Duarte
  • Luiz H. Duczmal
  • Fernando L. P. Oliveira
  • Ricardo H. C. Takahashi
  • Ivair R. Silva
Living reference work entry
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Accepted:

Abstract

A modification is proposed to the usual inference test of the Kulldorff’s spatial scan statistic, incorporating additional information about the size of the most likely cluster found. A new modified inference question is answered: what is the probability that the null hypothesis is rejected for the original observed cases map with a most likely cluster of size known, taking into account only those most likely clusters of same size found under null hypothesis? A practical procedure is provided to make more accurate inferences about the most likely cluster found by the spatial scan statistic.

Keywords

Data-driven Size cluster adjusted inference Scan statistic Cluster detection Kulldorf’s statistics 
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Copyright information

© Springer Science+Business Media LLC 2017

Authors and Affiliations

  • Alexandre C. L. Almeida
    • 1
  • Anderson R. Duarte
    • 2
  • Luiz H. Duczmal
    • 3
  • Fernando L. P. Oliveira
    • 2
  • Ricardo H. C. Takahashi
    • 4
  • Ivair R. Silva
    • 2
  1. 1.Department of Physics and MathematicsUniversidade Federal de São João del-ReiOuro BrancoBrazil
  2. 2.Department of StatisticsUniversidade Federal de Ouro PretoOuro PretoBrazil
  3. 3.Department of StatisticsUniversidade Federal de Minas GeraisBelo HorizonteBrazil
  4. 4.Department of MathematicsUniversidade Federal de Minas GeraisBelo HorizonteBrazil

Section editors and affiliations

  • Joseph Glaz
    • 1
  • Markos V. Koutras
    • 2
  1. 1.Department of StatisticsUniversity of ConnecticutStorrsUSA
  2. 2.Dept. of Statistics and Insurance Science, University of PiraeusPiraeusGreece

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