spweights.constants: Provides constants for spatial weights matrices

In spdep: Spatial Dependence: Weighting Schemes, Statistics and Models

Description

The function calculates the constants needed for tests of spatial autocorrelation for general weights matrices represented as listw objects. Note: from spdep 0.3-32, the values of S1 and S2 are returned correctly for both underlying symmetric and asymmetric neighbour lists, before 0.3-32, S1 and S2 were wrong for listw objects based on asymmetric neighbour lists, such as k-nearest neighbours (thanks to Luc Anselin for finding the bug).

Usage

spweights.constants(listw, zero.policy=NULL, adjust.n=TRUE)
Szero(listw)

Arguments

listw	a listw object from for example nb2listw
zero.policy	default NULL, use global option value; if TRUE ignore zones without neighbours, if FALSE fail when encountered
adjust.n	default TRUE, if FALSE the number of observations is not adjusted for no-neighbour observations, if TRUE, the number of observations is adjusted

Value

n	number of zones
n1	n - 1
n2	n - 2
n3	n - 3
nn	n * n
S0	global sum of weights
S1	S1 sum of weights
S2	S2 sum of weights

Author(s)

Roger Bivand [e-mail]

References

Haining, R. 1990 Spatial data analysis in the social and environmental sciences, Cambridge University Press, p. 233; Cliff, A. D., Ord, J. K. 1981 Spatial processes, Pion, p. 19, 21.

See Also

nb2listw

Examples

data(oldcol)
B <- spweights.constants(nb2listw(COL.nb, style="B"))
W <- spweights.constants(nb2listw(COL.nb, style="W"))
C <- spweights.constants(nb2listw(COL.nb, style="C"))
S <- spweights.constants(nb2listw(COL.nb, style="S"))
U <- spweights.constants(nb2listw(COL.nb, style="U"))
print(data.frame(rbind(unlist(B), unlist(W), unlist(C), unlist(S), unlist(U)),
  row.names=c("B", "W", "C", "S", "U")))

Example output

Loading required package: sp
Loading required package: Matrix
   n n1 n2 n3   nn  S0           S1           S2
B 49 48 47 46 2401 232 464.00000000 5.136000e+03
W 49 48 47 46 2401  49  23.29434146 2.048729e+02
C 49 48 47 46 2401  49  20.69827586 2.291085e+02
S 49 48 47 46 2401  49  21.25561347 2.134568e+02
U 49 48 47 46 2401   1   0.00862069 9.542212e-02

spdep documentation built on Aug. 19, 2017, 3:01 a.m.