Dissimilarity and segregation indices

Pairwise Duncan dissimilarity D_kl = sum |x_ik/X_k - x_il/X_l| / 2, the one-against-the-rest segregation index IS_k, and with a contiguity matrix Morrill's adjusted D minus the mean absolute difference of group shares across adjacent units.

Usage

DissimilarityIndex(x, contiguity = NULL)

Arguments

x

Units x groups count matrix.

contiguity

Optional 0/1 contiguity matrix (zero diagonal).

Value

list(D, IS, D_morrill).

References

Duncan, O. D. and Duncan, B. (1955). A methodological analysis of segregation indexes. American Sociological Review 20, 210-217. Morrill, R. L. (1991). On the measure of geographic segregation. Geography Research Forum 11, 25-36.

Examples

DissimilarityIndex(rbind(c(10, 0), c(0, 10)))$D
#>      [,1] [,2]
#> [1,]    0    1
#> [2,]    1    0