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The Moran Coefficient and the Geary Ratio: Some Mathematical and Numerical Comparisons

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Advances in Geocomputation

Part of the book series: Advances in Geographic Information Science ((AGIS))

Abstract

This chapter discusses relationships between the Moran coefficient (MC) and the Geary ratio (GR) under different distributional assumptions (normal, uniform, beta, and exponential) and selected geographic neighborhood definitions (linear, square rook, hexagon, square queen, maximum planar, maximum hexagon, and a constant number of neighbors). It focuses on comparisons of efficiency and power for the MC and the GR. Its results should inform features of spatial data analysis.

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Author information

Authors and Affiliations

  1. Wuhan University, 129 Luoyu Road, Hongshan District, Wuhan, 430079, Hubei, China

    Qing Luo & Huayi Wu

  2. The University of Texas at Dallas, 800W. Campbell Rd, Richardson, TX, 75080-3021, USA

    Qing Luo & Daniel A. Griffith

Authors
  1. Qing Luo
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  2. Daniel A. Griffith
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  3. Huayi Wu
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Corresponding author

Correspondence to Qing Luo .

Editor information

Editors and Affiliations

  1. School of Economic, Political and Policy Sciences, University of Texas at Dallas, Richardson, Texas, USA

    Daniel A. Griffith

  2. School of Economic, Political and Policy Sciences, University of Texas at Dallas, Richardson, Texas, USA

    Yongwan Chun

  3. School of Economic, Political and Policy Sciences, University of Texas at Dallas, Richardson, Texas, USA

    Denis J. Dean

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Luo, Q., Griffith, D.A., Wu, H. (2017). The Moran Coefficient and the Geary Ratio: Some Mathematical and Numerical Comparisons. In: Griffith, D., Chun, Y., Dean, D. (eds) Advances in Geocomputation. Advances in Geographic Information Science. Springer, Cham. https://doi.org/10.1007/978-3-319-22786-3_23

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