Encyclopedia of GIS

2008 Edition
| Editors: Shashi Shekhar, Hui Xiong

Moran's I

  • Xiaobo Zhou
  • Henry Lin
Reference work entry
DOI: https://doi.org/10.1007/978-0-387-35973-1_817

Synonyms

Moran's index; Moran coefficient

Definition

Moran's I, based on cross-products, measures value association and is calculated for n observations on a variable x at locations i,  j as
$$ I=\frac{\sum\limits_i {\sum\limits_{j\ne i} {w_{ij} (x_i-\bar{x})(x_j-\bar{x})}} } {S^2\sum\limits_i {\sum\limits_{j\ne i} {w_{ij}}}}\:. $$

Keywords

Public Policy Large Sample Size Geographical Information Positive Signage Negative Signage 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag 2008

Authors and Affiliations

  • Xiaobo Zhou
    • 1
  • Henry Lin
    • 1
  1. 1.Department of Crop and Soil SciencesThe Pennsylvania State UniversityUniversity ParkUSA