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Isolation xPx_k, the correlation ratio eta2_k = (xPx_k - P_k) / (1 - P_k), and with a distance matrix Morgan's distance-decay isolation.

Usage

IsolationIndex(x, exact = FALSE, distance = NULL, beta = 1)

Arguments

x

Units x groups count matrix.

exact

Sample without replacement.

distance

Optional distance matrix.

beta

Decay rate.

Value

list(xPx, eta2, DPxx).

References

Massey, D. S. and Denton, N. A. (1988). Social Forces 67, 281-315. White, M. J. (1986). Segregation and diversity measures in population distribution. Population Index 52, 198-221.

Examples

IsolationIndex(rbind(c(10, 0), c(0, 10)))$xPx
#> [1] 1 1