tango.boot: Generate Bootstrap Replicated of Tango's Statistic

Description

Generate bootstrap replicated of Tango's statistic for general clustering, by means of function boot from boot library. Notice that these functions should not be used separately but as argument statistic when calling function boot.

tango.boot is used when performing non-parametric bootstrap.

tango.pboot must be used for parametric bootstrap.

Usage

tango.boot(data, i, ...)
tango.pboot(...)

Arguments

data

Dataframe with the data as described in DCluster.

Permutation generated by the non-parametric boostrap procedure.

...

Additional arguments passed when performing a bootstrap.

Value

Both functions return the value of the statistic.

References

Tango, Toshiro (1995). A Class of Tests for Detecting 'General' and 'Focused' Clustering of Rare Diseases. Statistics in Medicine 14, 2323-2334.

Examples

Run this code

# NOT RUN {
library(boot)
library(spdep)

data(nc.sids)

sids<-data.frame(Observed=nc.sids$SID74)
sids<-cbind(sids, Expected=nc.sids$BIR74*sum(nc.sids$SID74)/sum(nc.sids$BIR74) )
sids<-cbind(sids, x=nc.sids$x, y=nc.sids$y)


#Calculate neighbours based on distance
coords<-as.matrix(sids[,c("x", "y")])

dlist<-dnearneigh(coords, 0, Inf)
dlist<-include.self(dlist)
dlist.d<-nbdists(dlist, coords)

#Calculate weights. They are globally standardised but it doesn't
#change significance.
col.W.tango<-nb2listw(dlist, glist=lapply(dlist.d, function(x) {exp(-x)}),
        style="C")
	
niter<-100


#Permutation model
tn.boot<-boot(sids, statistic=tango.boot, R=niter, listw=col.W.tango, 
	zero.policy=TRUE)
plot(tn.boot)#Display results

#Multinomial model
tn.mboot<-boot(sids, statistic=tango.pboot, sim="parametric", 
	ran.gen=multinom.sim,  R=niter, listw=col.W.tango, zero.policy=TRUE)
		
plot(tn.mboot)#Display results

#Poisson model
tn.pboot<-boot(sids, statistic=tango.pboot, sim="parametric", 
	ran.gen=poisson.sim,  R=niter, listw=col.W.tango, zero.policy=TRUE)
		
plot(tn.pboot)#Display results

#Poisson-Gamma model
tn.pgboot<-boot(sids, statistic=tango.pboot, sim="parametric", 
	ran.gen=negbin.sim, R=niter, listw=col.W.tango, zero.policy=TRUE)
plot(tn.pgboot)#Display results
# }