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Type 'q()' to quit R. > # > # The treble test for classification trees > # > # > library(rpart) > set.seed(10) > > xgrp <- rep(1:10,length=nrow(cu.summary)) > carfit <- rpart(Country ~ Reliability + Price + Mileage + Type, + method='class', data=cu.summary, + control=rpart.control(xval=xgrp)) > > carfit2 <- rpart(Country ~ Reliability + Price + Mileage + Type, + method='class', data=cu.summary, + weight=rep(3,nrow(cu.summary)), + control=rpart.control(xval=xgrp)) > > all.equal(carfit$frame$wt, carfit2$frame$wt/3) [1] TRUE > all.equal(carfit$frame$dev, carfit2$frame$dev/3) [1] TRUE > all.equal(carfit$frame[,5:7], carfit2$frame[,5:7]) [1] TRUE > all.equal(carfit$frame$yval2[,12:21], carfit2$frame$yval2[,12:21]) [1] TRUE > all.equal(carfit[c('where', 'csplit')], + carfit2[c('where', 'csplit')]) [1] TRUE > xx <- carfit2$splits > xx[,'improve'] <- xx[,'improve'] / ifelse(xx[,5]> 0,1,3) # surrogate? > all.equal(xx, carfit$splits) [1] TRUE > all.equal(as.vector(carfit$cptable), + as.vector(carfit2$cptable%*% diag(c(1,1,1,1,sqrt(3))))) [1] TRUE > > summary(carfit2) Call: rpart(formula = Country ~ Reliability + Price + Mileage + Type, data = cu.summary, weights = rep(3, nrow(cu.summary)), method = "class", control = rpart.control(xval = xgrp)) n= 117 CP nsplit rel error xerror xstd 1 0.23529412 0 1.0000000 1.0000000 0.04530958 2 0.02941176 1 0.7647059 0.8088235 0.04583685 3 0.02205882 3 0.7058824 0.9117647 0.04583685 4 0.01000000 5 0.6617647 0.9558824 0.04563477 Variable importance Reliability Price Type 49 30 21 Node number 1: 117 observations, complexity param=0.2352941 predicted class=USA expected loss=0.5811966 P(node) =1 class counts: 3 3 6 33 93 27 15 9 15 147 probabilities: 0.009 0.009 0.017 0.094 0.265 0.077 0.043 0.026 0.043 0.419 left son=2 (33 obs) right son=3 (84 obs) Primary splits: Reliability splits as RRRLL, improve=44.777630, (32 missing) Type splits as LRRLRR, improve=11.246350, (0 missing) Price < 6923 to the left, improve=10.448720, (0 missing) Mileage < 22.5 to the right, improve= 6.084489, (57 missing) Surrogate splits: Type splits as RRRLRR, agree=0.706, adj=0.138, (32 split) Price < 6665 to the left, agree=0.682, adj=0.069, (0 split) Node number 2: 33 observations, complexity param=0.02205882 predicted class=Japan expected loss=0.4545455 P(node) =0.2820513 class counts: 3 0 0 3 54 27 3 3 0 6 probabilities: 0.030 0.000 0.000 0.030 0.545 0.273 0.030 0.030 0.000 0.061 left son=4 (9 obs) right son=5 (24 obs) Primary splits: Price < 13202 to the right, improve=7.621212, (0 missing) Type splits as R-LRLL, improve=5.621212, (0 missing) Reliability splits as RRRRL, improve=5.406404, (4 missing) Mileage < 23.5 to the left, improve=3.915966, (9 missing) Surrogate splits: Type splits as R-LRLL, agree=0.879, adj=0.556, (0 split) Node number 3: 84 observations, complexity param=0.02941176 predicted class=USA expected loss=0.4404762 P(node) =0.7179487 class counts: 0 3 6 30 39 0 12 6 15 141 probabilities: 0.000 0.012 0.024 0.119 0.155 0.000 0.048 0.024 0.060 0.560 left son=6 (30 obs) right son=7 (54 obs) Primary splits: Price < 16668.5 to the right, improve=10.403170, (0 missing) Type splits as RRRLRR, improve= 6.025974, (0 missing) Mileage < 22.5 to the right, improve= 3.132611, (48 missing) Reliability splits as RLLLL, improve= 2.195489, (28 missing) Surrogate splits: Type splits as RLLRRR, agree=0.714, adj=0.2, (0 split) Node number 4: 9 observations predicted class=Japan expected loss=0.1111111 P(node) =0.07692308 class counts: 0 0 0 3 24 0 0 0 0 0 probabilities: 0.000 0.000 0.000 0.111 0.889 0.000 0.000 0.000 0.000 0.000 Node number 5: 24 observations, complexity param=0.02205882 predicted class=Japan expected loss=0.5833333 P(node) =0.2051282 class counts: 3 0 0 0 30 27 3 3 0 6 probabilities: 0.042 0.000 0.000 0.000 0.417 0.375 0.042 0.042 0.000 0.083 left son=10 (7 obs) right son=11 (17 obs) Primary splits: Price < 7038 to the left, improve=4.836134, (0 missing) Type splits as R--LR-, improve=1.966667, (0 missing) Mileage < 30.5 to the right, improve=1.716667, (6 missing) Node number 6: 30 observations, complexity param=0.02941176 predicted class=USA expected loss=0.6333333 P(node) =0.2564103 class counts: 0 3 3 24 12 0 0 0 15 33 probabilities: 0.000 0.033 0.033 0.267 0.133 0.000 0.000 0.000 0.167 0.367 left son=12 (10 obs) right son=13 (20 obs) Primary splits: Type splits as LRR-L-, improve=6.6000000, (0 missing) Price < 30511 to the right, improve=5.3739130, (0 missing) Reliability splits as RRLLL, improve=0.3333333, (12 missing) Surrogate splits: Price < 19422.5 to the left, agree=0.767, adj=0.3, (0 split) Node number 7: 54 observations predicted class=USA expected loss=0.3333333 P(node) =0.4615385 class counts: 0 0 3 6 27 0 12 6 0 108 probabilities: 0.000 0.000 0.019 0.037 0.167 0.000 0.074 0.037 0.000 0.667 Node number 10: 7 observations predicted class=Japan expected loss=0.2857143 P(node) =0.05982906 class counts: 0 0 0 0 15 3 3 0 0 0 probabilities: 0.000 0.000 0.000 0.000 0.714 0.143 0.143 0.000 0.000 0.000 Node number 11: 17 observations predicted class=Japan/USA expected loss=0.5294118 P(node) =0.1452991 class counts: 3 0 0 0 15 24 0 3 0 6 probabilities: 0.059 0.000 0.000 0.000 0.294 0.471 0.000 0.059 0.000 0.118 Node number 12: 10 observations predicted class=Germany expected loss=0.5 P(node) =0.08547009 class counts: 0 0 0 15 3 0 0 0 9 3 probabilities: 0.000 0.000 0.000 0.500 0.100 0.000 0.000 0.000 0.300 0.100 Node number 13: 20 observations predicted class=USA expected loss=0.5 P(node) =0.1709402 class counts: 0 3 3 9 9 0 0 0 6 30 probabilities: 0.000 0.050 0.050 0.150 0.150 0.000 0.000 0.000 0.100 0.500 > > > proc.time() user system elapsed 0.12 0.07 0.18