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## Simplest weight test: treble the weights## By using the unshrunken estimates the weights will nearly cancel# out: frame$wt, frame$dev, frame$yval2, and improvement will all# be threefold larger, other things will be the same.# The improvement is the splits matrix, column 3, rows with n>0. Other# rows are surrogate splits.library(rpart)require(survival)tempc <- rpart.control(maxsurrogate=0, cp=0, xval=0)fit1 <- rpart(Surv(pgtime, pgstat) ~ age + eet + g2+grade+gleason +ploidy,stagec, control=tempc,method='poisson', parms=list(shrink=0))wts <- rep(3, nrow(stagec))fit1b <- rpart(Surv(pgtime, pgstat) ~ age + eet + g2+grade+gleason +ploidy,stagec, control= tempc, parms=list(shrink=0),method='poisson', weights=wts)fit1b$frame$wt <- fit1b$frame$wt/3fit1b$frame$dev <- fit1b$frame$dev/3fit1b$frame$yval2[,2] <- fit1b$frame$yval2[,2]/3fit1b$splits[,3] <- fit1b$splits[,3]/3zz <- match(c("call", "variable.importance"), names(fit1))all.equal(fit1[-zz], fit1b[-zz]) #all but the "call" and importanceall.equal(fit1b$variable.importance/fit1$variable.importance, rep(3,4),check.attributes = FALSE)## Compare a pair of multiply weighted fits# In this one, the lengths of where and y won't match# I have to set minsplit to the smallest possible, because otherwise# the replicated data set will sometimes have enough "n" to split, but# the weighted one won't. Use of CP keeps the degenerate splits# (n=2, several covariates with exactly the same improvement) at bay.# For larger trees, the weighted split will sometimes have fewer# surrogates, because of the "at least two obs" rule.## Create a reproducable psuedo random order using the logisic attractorpseudo <- double(nrow(stagec))pseudo[1] <- pi/4for (i in 2:nrow(stagec)) pseudo[i] <- 4*pseudo[i-1]*(1 - pseudo[i-1])wts <- rep(1:5, length=nrow(stagec))temp <- rep(1:nrow(stagec), wts) #row replicatesxgrp <- rep(1:10, length=146)[order(pseudo)]xgrp2<- rep(xgrp, wts)# Direct: replicate rows in the data set, and use unweightedfit2 <- rpart(Surv(pgtime, pgstat) ~ age + eet + g2+grade+gleason +ploidy,control=rpart.control(minsplit=2, xval=xgrp2, cp=.025),data=stagec[temp,], method='poisson')# Weightedfit2b<- rpart(Surv(pgtime, pgstat) ~ age + eet + g2+grade+gleason +ploidy,control=rpart.control(minsplit=2, xval=xgrp, cp=.025),data=stagec, method='poisson', weight=wts)all.equal(fit2$frame[-2], fit2b$frame[-2]) # the "n" component won't matchall.equal(fit2$cptable, fit2b$cptable)#all.equal(fit2$splits[,-1],fit2b$splits[,-1]) #failstoss <- c(49, 64)all.equal(fit2$splits[-toss,-1],fit2b$splits[-toss,-1]) #okall.equal(fit2$csplit, fit2b$csplit)# Line 49 is a surrogate split in a group whose 2 smallest ages are# 47 and 48. The weighted fit won't split there because it wants to# send at least 2 obs to the left; the replicate fit thinks that there# are several 47's.