sp.mantel.mc

0th

Percentile

Mantel-Hubert spatial general cross product statistic

A permutation test for the spatial general cross product statistic with Moran ($C(i,j) = z(i)*z(j)$), Geary ($C(i,j) = (z(i) - z(j))^2$), and Sokal ($C(i,j) = |z(i) - z(j)|$) criteria, for $z(i) = (x(i) - mean(x))/sd(x)$. plot.mc.sim is a helper function to plot the outcomes of the permutation test.

Keywords
spatial
Usage
sp.mantel.mc(var, listw, nsim, type = "moran", zero.policy = NULL, alternative = "greater", spChk=NULL, return_boot=FALSE)
"plot"(x, xlim, xlab, main, sub, ..., ptype="density")
Arguments
var
a numeric vector the same length as the neighbours list in listw
listw
a listw object created for example by nb2listw
nsim
number of permutations
type
"moran", "geary" or "sokal" criteria for similarity
zero.policy
default NULL, use global option value; if TRUE assign zero to the lagged value of zones without neighbours, if FALSE assign NA
alternative
a character string specifying the alternative hypothesis, must be one of "greater" (default), or "less".
spChk
should the data vector names be checked against the spatial objects for identity integrity, TRUE, or FALSE, default NULL to use get.spChkOption()
return_boot
return an object of class boot from the equivalent permutation bootstrap rather than an object of class htest
x
the object to be plotted
xlim
the range of the x axis
xlab
a title for the x axis
main
an overall title for the plot
sub
a sub title for the plot
ptype
either "density" or "hist"
...
further arguments passed through
Value

A list with class htest and mc.sim containing the following components:

References

Cliff, A. D., Ord, J. K. 1981 Spatial processes, Pion, p. 22-24, Haining, R. 1990 Spatial data analysis in the social and environmental sciences, Cambridge: Cambridge University Press, p. 230--1. The function has been checked against general matrix code posted to the r-help list by Ben Bolker on 1 May 2001; another mantel() function is in the vegan package.

moran.mc, joincount.mc, geary.mc

• sp.mantel.mc
• plot.mc.sim
Examples
data(oldcol)
sim1 <- sp.mantel.mc(COL.OLD$CRIME, nb2listw(COL.nb), nsim=99, type="geary", alternative="less") sim1 plot(sim1) sp.mantel.mc(COL.OLD$CRIME, nb2listw(COL.nb), nsim=99,
type="sokal", alternative="less")
sp.mantel.mc(COL.OLD\$CRIME, nb2listw(COL.nb), nsim=99,
type="moran")

Documentation reproduced from package spdep, version 0.6-9, License: GPL (>= 2)

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