Calculate theoretical expectation and standard deviation of local Moran's I under the null hypothesis.

LocalMoransIStats(X, W, scale = FALSE)

Arguments

X

A matrix with observations as rows and features as columns.

W

A weight matrix across all observations, i.e inverse of a pairwise distance matrix.

scale

Whether to scale the data. Default is FALSE.

Value

A list containing the following:

  • E.I, the expectation of local Moran's I under the null hypothesis.

  • SD.I, the standard deviation of local Moran's I under the null hypothesis.

References

Anselin, L. Local indicators of spatial association-LISA. Geogr. Anal. 27, 93–115 (1995)

Sokal, R. R., Oden, N. L. & Thomson, B. A. Local spatial autocorrelation in a biological model. Geogr. Anal. 30, 331–354 (1998)

Examples

{
data.use <- quakes[1:100,]
W <- 1/as.matrix(dist(data.use[,1:2]))
diag(W) <- 0
res <- LocalMoransIStats(data.use[,3:4], W)
}