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Generalization Error Decision Tree

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Training Error Decision Tree

people interested in statistics, machine learning, data analysis, data mining, and data visualization. Join them; it only takes a minute: Sign up Here's how it works: classification error in r Anybody can ask a question Anybody can answer The best answers are voted up and rise to the top trouble in computing generalization error rate of the decision tree up vote 1 down vote favorite 1 This is a picture from the book introduction decision tree error rate to data mining. I cannot understand this decision tree. Why the label in leaf node where A=1 && C=0 is '+' instead of '-'. From the table, it is clearly that there are 3 '-' and 2 '+'. Besides, I think that generalization error rate equals (0 + 1 + 2 + 1) / 10 = 0.4. Is it correct? Thanks. classification data-mining share|improve this question asked May 14 at 13:30 Mark 306 add a comment| 1 Answer 1 active oldest votes up vote 1 down vote accepted

Classification Error Machine Learning

I would guess that this is either part of the exercise (i.e., to figure out that the tree is not optimal) or a typo (i.e., the labels should be -/+ rather than +/- after the split in C). To be able to play around with the data more easily I encoded the tree in R using the partykit package. First, I set up the tree as shown in Figure 4.30. Then I turn the tree into a constant-fit tree(a constparty object) where the predictions in each leaf are re-computed based on the observed responses. Finally, I obtain the confusion matrices on the training and validation data, respectively. The complete data is: Exercise8 <- data.frame( A = factor(c(0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1)), B = factor(c(0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0)), C = factor(c(0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0)), Class = factor(c("+", "+", "+", "-", "+", "+", "-", "+", "-", "-", "+", "+", "+", "-", "+")) ) This can be split up into training and validation data: Training <- Exercise8[1:10, ] Validation <- Exercise8[11:15, ] Then we set up the tree as shown in the picture library("partykit") Tree <- party( partynode(1L, split = partysplit(varid = 1L, index = 1:2), kids = list( partynode(2L, split = partysplit(varid = 2L, index = 1:2), kids = list( partynode(3L, info = "+"), partynode(4L, info = "-"))), partynode(5L, split = partysplit(varid = 3L, index = 1:2), kids = list( partynod

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