gearyc | R Documentation |
Geary's c statistic is used to measure autocorrelation between areas within a region, as follows:
c=\frac{(n-1)\sum_i \sum_j W_{ij}(Z_i-Z_j)^2}{2(\sum_i\sum_jW_{ij})\sum_k (Z_k-\overline{Z})^2}
W
is a squared matrix which represents the relationship between each
pair of regions. An usual approach is set w_{ij}
to 1 if regions
i
and j
have a common boundary and 0 otherwise, or it may
represent the inverse distance between the centroids of that two regions.
Small values of this statistic may indicate the presence of highly correlated areas, which may be a cluster.
Geary, R. C. (1954). The contiguity ratio and statistical mapping. The Incorporated Statistician 5, 115-145.
DCluster, gearyc.stat, gearyc.boot, gearyc.pboot
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