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## Test weights in a regression problem#library(rpart)mystate <- data.frame(state.x77, region=factor(state.region))names(mystate) <- c("population","income" , "illiteracy","life" ,"murder", "hs.grad", "frost", "area", "region")xgrp <- rep(1:10,5)fit4 <- rpart(income ~ population + region + illiteracy +life + murder +hs.grad + frost , mystate,control=rpart.control(minsplit=10, xval=xgrp))wts <- rep(3, nrow(mystate))fit4b <- rpart(income ~ population + region + illiteracy +life + murder +hs.grad + frost , mystate,control=rpart.control(minsplit=10, xval=xgrp), weights=wts)fit4b$frame$wt <- fit4b$frame$wt/3fit4b$frame$dev <- fit4b$frame$dev/3fit4b$cptable[,5] <- fit4b$cptable[,5] * sqrt(3)temp <- c('frame', 'where', 'splits', 'csplit', 'cptable')all.equal(fit4[temp], fit4b[temp])# Next is a very simple case, but worth keepingdummy <- data.frame(y=1:10, x1=c(10:4, 1:3), x2=c(1,3,5,7,9,2,4,6,8,0))xx1 <- rpart(y ~ x1 + x2, dummy, minsplit=4, xval=0)xx2 <- rpart(y ~ x1 + x2, dummy, weights=rep(2,10), minsplit=4, xval=0)all.equal(xx1$frame$dev, c(82.5, 10, 2, .5, 10, .5, 2))all.equal(xx2$frame$dev, c(82.5, 10, 2, .5, 10, .5, 2)*2)# Now for a set of non-equal weights# We need to set maxcompete=3 because there just happens to be, in one# of the lower nodes, an exact tie between variables "life" and "murder".# Round off error causes fit5 to choose one and fit5b the other.# Later -- cut it back to maxdepth=3 for the same reason (a tie).#nn <- nrow(mystate)wts <- rep(1:5, length=nn)temp <- rep(1:nn, wts) #row replicatesxgrp <- rep(1:10, length=nn)xgrp2<- rep(xgrp, wts)tempc <- rpart.control(minsplit=2, xval=xgrp2, maxsurrogate=0,maxcompete=3, maxdepth=3)# Direct: replicate rows in the data set, and use unweightedfit5 <- rpart(income ~ population + region + illiteracy +life + murder +hs.grad + frost , data=mystate[temp,], control=tempc)# Weightedtempc <- rpart.control(minsplit=2, xval=xgrp, maxsurrogate=0,maxcompete=3, maxdepth=3)fit5b <- rpart(income ~ population + region + illiteracy +life + murder +hs.grad + frost , data=mystate, control=tempc,weights=wts)all.equal(fit5$frame[-2], fit5b$frame[-2]) # the "n" component won't matchall.equal(fit5$cptable, fit5b$cptable)all.equal(fit5$splits[,-1],fit5b$splits[,-1])all.equal(fit5$csplit, fit5b$csplit)