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z-values \((\sum_j w_{ij} x_j - W_i \bar x) / (s \sqrt{(n S_{1i} - W_i^2)/(n-1)})\) for Gi* (self-weights on the diagonal of W; population variance over all units) and, excluding unit i, with \(((n-1) S_{1i} - W_i^2)/(n-2)\) for Gi; exactly spdep::localG (include.self for Gi*).

Usage

LocalGetisOrd(y, W, star = TRUE)

Arguments

y

Values.

W

Spatial weights matrix.

star

Gi* (default) or Gi.

Value

List with z, p_values, statistic (largest absolute z), star.

References

Getis, A. and Ord, J. K. (1992). The analysis of spatial association by use of distance statistics. Geographical Analysis 24, 189-206.

Ord, J. K. and Getis, A. (1995). Local spatial autocorrelation statistics: distributional issues and an application. Geographical Analysis 27, 286-306.

Examples

W <- matrix(c(1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1), 4)
LocalGetisOrd(c(1, 2, 4, 8), W)$z
#> [1] -1.453631 -1.585258  1.025755  1.453631