train<- data.frame(ClaimID = c(1,2,3),
                  RearEnd = c(TRUE, FALSE, TRUE),
                  Fraud = c(TRUE, FALSE, TRUE))
train
##   ClaimID RearEnd Fraud
## 1       1    TRUE  TRUE
## 2       2   FALSE FALSE
## 3       3    TRUE  TRUE
library(rpart)
## Warning: package 'rpart' was built under R version 4.3.3
mytree<-rpart(Fraud ~ RearEnd, data = train, method="class")
mytree
## n= 3 
## 
## node), split, n, loss, yval, (yprob)
##       * denotes terminal node
## 
## 1) root 3 1 TRUE (0.3333333 0.6666667) *
mytree<-rpart(Fraud ~ RearEnd,
              data = train,
              method = "class",
              minsplit=2,
              minbucket=1)
mytree
## n= 3 
## 
## node), split, n, loss, yval, (yprob)
##       * denotes terminal node
## 
## 1) root 3 1 TRUE (0.3333333 0.6666667)  
##   2) RearEnd< 0.5 1 0 FALSE (1.0000000 0.0000000) *
##   3) RearEnd>=0.5 2 0 TRUE (0.0000000 1.0000000) *
library(rattle)
## Warning: package 'rattle' was built under R version 4.3.3
## Loading required package: tibble
## Loading required package: bitops
## Rattle: A free graphical interface for data science with R.
## Version 5.5.1 Copyright (c) 2006-2021 Togaware Pty Ltd.
## Type 'rattle()' to shake, rattle, and roll your data.
library(rpart.plot)
## Warning: package 'rpart.plot' was built under R version 4.3.3
library(RColorBrewer)
fancyRpartPlot(mytree, caption = NULL)
mytree<- rpart(
  Fraud ~ RearEnd,
  data = train,
  method = "class",
  parms = list(split = 'information'),
  minsplit = 2, minbucket = 1)
mytree
## n= 3 
## 
## node), split, n, loss, yval, (yprob)
##       * denotes terminal node
## 
## 1) root 3 1 TRUE (0.3333333 0.6666667)  
##   2) RearEnd< 0.5 1 0 FALSE (1.0000000 0.0000000) *
##   3) RearEnd>=0.5 2 0 TRUE (0.0000000 1.0000000) *
fancyRpartPlot(mytree, caption = NULL)

train<- data.frame(ClaimID = c(1,2,3),
                   RearEnd = c(TRUE, FALSE, TRUE),
                   Fraud = c(TRUE, FALSE, FALSE))
train
##   ClaimID RearEnd Fraud
## 1       1    TRUE  TRUE
## 2       2   FALSE FALSE
## 3       3    TRUE FALSE
mytree<-rpart(Fraud ~ RearEnd,
              data = train,
              method = "class",
              minsplit=2,
              minbucket=1,
              cp = -1)
mytree
## n= 3 
## 
## node), split, n, loss, yval, (yprob)
##       * denotes terminal node
## 
## 1) root 3 1 FALSE (0.6666667 0.3333333)  
##   2) RearEnd< 0.5 1 0 FALSE (1.0000000 0.0000000) *
##   3) RearEnd>=0.5 2 1 FALSE (0.5000000 0.5000000) *
fancyRpartPlot(mytree, caption = NULL)

train<- data.frame(
  claimID = 1:7,
  RearEnd = c(TRUE, TRUE, FALSE,FALSE,FALSE,FALSE, FALSE),
  Whiplash= c(TRUE, TRUE, TRUE, TRUE, TRUE, FALSE, FALSE),
  Fraud = c(TRUE, TRUE, TRUE, FALSE, FALSE, FALSE, FALSE)
)
train
##   claimID RearEnd Whiplash Fraud
## 1       1    TRUE     TRUE  TRUE
## 2       2    TRUE     TRUE  TRUE
## 3       3   FALSE     TRUE  TRUE
## 4       4   FALSE     TRUE FALSE
## 5       5   FALSE     TRUE FALSE
## 6       6   FALSE    FALSE FALSE
## 7       7   FALSE    FALSE FALSE
mytree<- rpart(
  Fraud ~ RearEnd + Whiplash,
  data = train,
  method = "class",
  maxdepth =1,
  minsplit=2,
  minbucket=1)
fancyRpartPlot(mytree)

lossmatrix<-matrix(c(0,1,3,0), byrow = TRUE, nrow = 2)
lossmatrix
##      [,1] [,2]
## [1,]    0    1
## [2,]    3    0
mytree<- rpart(
  Fraud ~ RearEnd + Whiplash,
  data = train,
  method = "class",
  maxdepth =1,
  minsplit=2,
  minbucket=1,
  parms = list(loss = lossmatrix))
fancyRpartPlot(mytree)

train<-data.frame(
  claimID = 1:5,
  Activity = factor(x= c("active", "very active", "very active","inactive", "very inactive"), levels= c("very inactive", "inactive", "active", "very active"), order = TRUE),
  Fraud = c(FALSE, TRUE, TRUE, FALSE, TRUE)
)
mytree<- rpart(
  Fraud~ Activity,
  data = train,
  method = "class",
  minsplit =2,
  minbucket =1)
fancyRpartPlot(mytree, caption = NULL)

train<- data.frame(
  claimID = 1:10,
  RearEnd = c(TRUE, TRUE, TRUE, FALSE, FALSE, FALSE, FALSE, FALSE, FALSE, FALSE),
  Whiplash = c(TRUE, TRUE, TRUE, TRUE, TRUE, FALSE, FALSE, FALSE, FALSE, FALSE),
  activity= factor(x= c("active", "very active", "very active", "inactive", "very active","inactive","very active", "active", "active", "very active"),
                   levels = c("very inactive", "inactive", "active", "very active"), ordered = TRUE),
  Fraud = c(FALSE, TRUE, TRUE, FALSE, FALSE, TRUE, TRUE, FALSE, FALSE, TRUE))
train
##    claimID RearEnd Whiplash    activity Fraud
## 1        1    TRUE     TRUE      active FALSE
## 2        2    TRUE     TRUE very active  TRUE
## 3        3    TRUE     TRUE very active  TRUE
## 4        4   FALSE     TRUE    inactive FALSE
## 5        5   FALSE     TRUE very active FALSE
## 6        6   FALSE    FALSE    inactive  TRUE
## 7        7   FALSE    FALSE very active  TRUE
## 8        8   FALSE    FALSE      active FALSE
## 9        9   FALSE    FALSE      active FALSE
## 10      10   FALSE    FALSE very active  TRUE
mytree<- rpart(
  Fraud ~ RearEnd + Whiplash + activity,
  data = train,
  method = "class",
  minsplit = 2,
  minbucket = 1,
  cp = -1)
fancyRpartPlot(mytree, caption = NULL)

mytree$variable.importance
##  Whiplash  activity   RearEnd 
## 2.8266667 2.4000000 0.6266667
names(mytree)
##  [1] "frame"               "where"               "call"               
##  [4] "terms"               "cptable"             "method"             
##  [7] "parms"               "control"             "functions"          
## [10] "numresp"             "splits"              "csplit"             
## [13] "variable.importance" "y"                   "ordered"
printcp(mytree)
## 
## Classification tree:
## rpart(formula = Fraud ~ RearEnd + Whiplash + activity, data = train, 
##     method = "class", minsplit = 2, minbucket = 1, cp = -1)
## 
## Variables actually used in tree construction:
## [1] activity RearEnd  Whiplash
## 
## Root node error: 5/10 = 0.5
## 
## n= 10 
## 
##     CP nsplit rel error xerror    xstd
## 1  0.6      0       1.0    2.0 0.00000
## 2  0.1      1       0.4    0.4 0.25298
## 3 -1.0      5       0.0    0.4 0.25298
mytree<-prune(mytree, cp = 0.21)
fancyRpartPlot(mytree)