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Adjusted Inference for the Spatial Scan Statistic

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Handbook of Scan Statistics

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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.

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Author information

Authors and Affiliations

  1. Department of Physics and Mathematics, Universidade Federal de São João del-Rei, Ouro Branco, MG, Brazil

    Alexandre C. L. Almeida

  2. Department of Statistics, Universidade Federal de Ouro Preto, Ouro Preto, MG, Brazil

    Anderson R. Duarte, Fernando L. P. Oliveira & Ivair R. Silva

  3. Department of Statistics, Universidade Federal de Minas Gerais, Belo Horizonte, MG, Brazil

    Luiz H. Duczmal

  4. Department of Mathematics, Universidade Federal de Minas Gerais, Belo Horizonte, MG, Brazil

    Ricardo H. C. Takahashi

Authors
  1. Alexandre C. L. Almeida
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  2. Anderson R. Duarte
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  3. Luiz H. Duczmal
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  4. Fernando L. P. Oliveira
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  5. Ricardo H. C. Takahashi
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  6. Ivair R. Silva
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Corresponding author

Correspondence to Alexandre C. L. Almeida .

Editor information

Editors and Affiliations

  1. University of Connecticut Dept. Statistics, Storrs, Connecticut, USA

    Joseph Glaz

  2. University of Pireaus Dept. Statistics & Insurance Sciences, Piraeus, Greece

    Markos V. Koutras

Section Editor information

  1. Department of Statistics, University of Connecticut, 215 Glenbrook Road, U-4120, 06269-4120, Storrs, CT, USA

    Joseph Glaz

  2. Dept. of Statistics and Insurance Science, University of Piraeus, 18534, Piraeus, Greece

    Markos V. Koutras

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Almeida, A.C.L., Duarte, A.R., Duczmal, L.H., Oliveira, F.L.P., Takahashi, R.H.C., Silva, I.R. (2017). Adjusted Inference for the Spatial Scan Statistic. In: Glaz, J., Koutras, M. (eds) Handbook of Scan Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8414-1_39-1

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  • DOI: https://doi.org/10.1007/978-1-4614-8414-1_39-1

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-8414-1

  • Online ISBN: 978-1-4614-8414-1

  • eBook Packages: Springer Reference MathematicsReference Module Computer Science and Engineering

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