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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_regression_trees1.wasp
Title produced by softwareRecursive Partitioning (Regression Trees)
Date of computationTue, 14 Dec 2010 09:31:36 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/14/t1292319013bmo0zzdy2xa76eu.htm/, Retrieved Thu, 02 May 2024 21:22:25 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=109311, Retrieved Thu, 02 May 2024 21:22:25 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact185
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Recursive Partitioning (Regression Trees)] [] [2010-12-05 19:50:12] [b98453cac15ba1066b407e146608df68]
-   PD  [Recursive Partitioning (Regression Trees)] [WS 10 Recursive P...] [2010-12-09 17:50:36] [2099aacba481f75a7f949aa310cab952]
-    D    [Recursive Partitioning (Regression Trees)] [] [2010-12-13 10:00:28] [1251ac2db27b84d4a3ba43449388906b]
- R PD        [Recursive Partitioning (Regression Trees)] [] [2010-12-14 09:31:36] [5f45e5b827d1a020c3ecc9d930121b4e] [Current]
-    D          [Recursive Partitioning (Regression Trees)] [] [2010-12-14 09:39:41] [22937c5b58c14f6c22964f32d64ff823]
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Dataseries X:
8,7	5
10,6	4
9,0	5
9,2	6
8,3	6
7,6	6
9,0	7
8,2	8
9,0	7
8,7	8
9,1	7
8,0	8
7,7	8
9,9	9
8,4	9
9,0	8
8,8	9
8,3	9
8,8	10
9,8	11
8,1	12
8,9	13
7,4	13
8,9	13
9,8	14
8,5	14
9,7	15
7,7	15
8,8	16
9,6	16
9,6	17
7,8	18
9,4	19
9,4	20
8,8	22
10,1	20
9,0	22
8,0	25
7,8	24
10,0	25
8,9	28
8,9	26
8,6	27
9,0	26
9,3	25
8,9	27
7,0	28
9,3	30
8,4	31
9,0	32
8,9	34
9,4	34
8,3	33
8,8	32
7,5	34
7,5	36
8,2	37
8,1	40
8,2	38
8,4	38
9,3	36
9,2	40
8,3	40
8,6	42
9,2	44
9,5	45
9,2	47
9,4	49
8,8	47
8,4	49
9,3	52
9,1	50
8,9	50
9,3	57
8,9	58
8,8	58
8,6	58
9,7	61
10,4	61
9,7	64
10,0	68
9,8	40
9,3	34
9,5	46
8,4	36
9,8	34
8,6	45
9,7	55
10,5	50
8,6	56
9,3	72
9,1	76
9,1	78
9,9	77
9,3	90
9,7	88
8,9	97
10,0	93
9,1	84
9,7	67
9,1	72
10,3	75
9,7	71
9,6	75
9,8	90
9,8	78
9,8	73
8,7	62
9,1	65
8,9	61
10,1	58
9,5	33
10,3	39
9,3	56
10,2	79
10,1	82
10,3	79
9,8	73
9,8	87
9,3	85
9,9	83
9,3	82
9,2	83
8,4	92
10,1	95
9,6	97
10,6	87
10,0	84
10,4	84
8,6	89
8,4	103
9,6	106
9,1	109
10,0	106
10,0	105
9,3	115
9,6	120
9,6	124
9,9	121
9,3	131
9,7	139
10,0	133
9,9	119
10,4	123
9,8	120
9,4	128
9,0	134
9,4	126
9,7	115
10,5	106
10,5	99
9,9	100
8,9	99
9,4	99
9,2	100
10,6	100
11,3	108
11,2	109
10,0	115
10,6	114
10,1	108
11,1	113
10,9	118
9,1	122
10,8	118
10,6	121
11,1	118
11,2	121
10,7	121
11,2	112
11,1	119
10,7	116
11,0	110
11,4	111
11,5	106
10,9	108




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 seconds
R Server'George Udny Yule' @ 72.249.76.132

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 6 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109311&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]6 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109311&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109311&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 seconds
R Server'George Udny Yule' @ 72.249.76.132







10-Fold Cross Validation
Prediction (training)Prediction (testing)
ActualC1C2C3CVC1C2C3CV
C15050540.903463080.8873
C2275122990.0205150390
C37403620.830363450.8333
Overall---0.556---0.6034

\begin{tabular}{lllllllll}
\hline
10-Fold Cross Validation \tabularnewline
 & Prediction (training) & Prediction (testing) \tabularnewline
Actual & C1 & C2 & C3 & CV & C1 & C2 & C3 & CV \tabularnewline
C1 & 505 & 0 & 54 & 0.9034 & 63 & 0 & 8 & 0.8873 \tabularnewline
C2 & 275 & 12 & 299 & 0.0205 & 15 & 0 & 39 & 0 \tabularnewline
C3 & 74 & 0 & 362 & 0.8303 & 6 & 3 & 45 & 0.8333 \tabularnewline
Overall & - & - & - & 0.556 & - & - & - & 0.6034 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109311&T=1

[TABLE]
[ROW][C]10-Fold Cross Validation[/C][/ROW]
[ROW][C][/C][C]Prediction (training)[/C][C]Prediction (testing)[/C][/ROW]
[ROW][C]Actual[/C][C]C1[/C][C]C2[/C][C]C3[/C][C]CV[/C][C]C1[/C][C]C2[/C][C]C3[/C][C]CV[/C][/ROW]
[ROW][C]C1[/C][C]505[/C][C]0[/C][C]54[/C][C]0.9034[/C][C]63[/C][C]0[/C][C]8[/C][C]0.8873[/C][/ROW]
[ROW][C]C2[/C][C]275[/C][C]12[/C][C]299[/C][C]0.0205[/C][C]15[/C][C]0[/C][C]39[/C][C]0[/C][/ROW]
[ROW][C]C3[/C][C]74[/C][C]0[/C][C]362[/C][C]0.8303[/C][C]6[/C][C]3[/C][C]45[/C][C]0.8333[/C][/ROW]
[ROW][C]Overall[/C][C]-[/C][C]-[/C][C]-[/C][C]0.556[/C][C]-[/C][C]-[/C][C]-[/C][C]0.6034[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109311&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109311&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

10-Fold Cross Validation
Prediction (training)Prediction (testing)
ActualC1C2C3CVC1C2C3CV
C15050540.903463080.8873
C2275122990.0205150390
C37403620.830363450.8333
Overall---0.556---0.6034







Confusion Matrix (predicted in columns / actuals in rows)
C1C2C3
C15706
C229035
C38041

\begin{tabular}{lllllllll}
\hline
Confusion Matrix (predicted in columns / actuals in rows) \tabularnewline
 & C1 & C2 & C3 \tabularnewline
C1 & 57 & 0 & 6 \tabularnewline
C2 & 29 & 0 & 35 \tabularnewline
C3 & 8 & 0 & 41 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109311&T=2

[TABLE]
[ROW][C]Confusion Matrix (predicted in columns / actuals in rows)[/C][/ROW]
[ROW][C][/C][C]C1[/C][C]C2[/C][C]C3[/C][/ROW]
[ROW][C]C1[/C][C]57[/C][C]0[/C][C]6[/C][/ROW]
[ROW][C]C2[/C][C]29[/C][C]0[/C][C]35[/C][/ROW]
[ROW][C]C3[/C][C]8[/C][C]0[/C][C]41[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109311&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109311&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Confusion Matrix (predicted in columns / actuals in rows)
C1C2C3
C15706
C229035
C38041



Parameters (Session):
par1 = 0 ; par2 = 36 ;
Parameters (R input):
par1 = 1 ; par2 = quantiles ; par3 = 3 ; par4 = yes ;
R code (references can be found in the software module):
library(party)
library(Hmisc)
par1 <- as.numeric(par1)
par3 <- as.numeric(par3)
x <- data.frame(t(y))
is.data.frame(x)
x <- x[!is.na(x[,par1]),]
k <- length(x[1,])
n <- length(x[,1])
colnames(x)[par1]
x[,par1]
if (par2 == 'kmeans') {
cl <- kmeans(x[,par1], par3)
print(cl)
clm <- matrix(cbind(cl$centers,1:par3),ncol=2)
clm <- clm[sort.list(clm[,1]),]
for (i in 1:par3) {
cl$cluster[cl$cluster==clm[i,2]] <- paste('C',i,sep='')
}
cl$cluster <- as.factor(cl$cluster)
print(cl$cluster)
x[,par1] <- cl$cluster
}
if (par2 == 'quantiles') {
x[,par1] <- cut2(x[,par1],g=par3)
}
if (par2 == 'hclust') {
hc <- hclust(dist(x[,par1])^2, 'cen')
print(hc)
memb <- cutree(hc, k = par3)
dum <- c(mean(x[memb==1,par1]))
for (i in 2:par3) {
dum <- c(dum, mean(x[memb==i,par1]))
}
hcm <- matrix(cbind(dum,1:par3),ncol=2)
hcm <- hcm[sort.list(hcm[,1]),]
for (i in 1:par3) {
memb[memb==hcm[i,2]] <- paste('C',i,sep='')
}
memb <- as.factor(memb)
print(memb)
x[,par1] <- memb
}
if (par2=='equal') {
ed <- cut(as.numeric(x[,par1]),par3,labels=paste('C',1:par3,sep=''))
x[,par1] <- as.factor(ed)
}
table(x[,par1])
colnames(x)
colnames(x)[par1]
x[,par1]
if (par2 == 'none') {
m <- ctree(as.formula(paste(colnames(x)[par1],' ~ .',sep='')),data = x)
}
load(file='createtable')
if (par2 != 'none') {
m <- ctree(as.formula(paste('as.factor(',colnames(x)[par1],') ~ .',sep='')),data = x)
if (par4=='yes') {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'10-Fold Cross Validation',3+2*par3,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'',1,TRUE)
a<-table.element(a,'Prediction (training)',par3+1,TRUE)
a<-table.element(a,'Prediction (testing)',par3+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Actual',1,TRUE)
for (jjj in 1:par3) a<-table.element(a,paste('C',jjj,sep=''),1,TRUE)
a<-table.element(a,'CV',1,TRUE)
for (jjj in 1:par3) a<-table.element(a,paste('C',jjj,sep=''),1,TRUE)
a<-table.element(a,'CV',1,TRUE)
a<-table.row.end(a)
for (i in 1:10) {
ind <- sample(2, nrow(x), replace=T, prob=c(0.9,0.1))
m.ct <- ctree(as.formula(paste('as.factor(',colnames(x)[par1],') ~ .',sep='')),data =x[ind==1,])
if (i==1) {
m.ct.i.pred <- predict(m.ct, newdata=x[ind==1,])
m.ct.i.actu <- x[ind==1,par1]
m.ct.x.pred <- predict(m.ct, newdata=x[ind==2,])
m.ct.x.actu <- x[ind==2,par1]
} else {
m.ct.i.pred <- c(m.ct.i.pred,predict(m.ct, newdata=x[ind==1,]))
m.ct.i.actu <- c(m.ct.i.actu,x[ind==1,par1])
m.ct.x.pred <- c(m.ct.x.pred,predict(m.ct, newdata=x[ind==2,]))
m.ct.x.actu <- c(m.ct.x.actu,x[ind==2,par1])
}
}
print(m.ct.i.tab <- table(m.ct.i.actu,m.ct.i.pred))
numer <- 0
for (i in 1:par3) {
print(m.ct.i.tab[i,i] / sum(m.ct.i.tab[i,]))
numer <- numer + m.ct.i.tab[i,i]
}
print(m.ct.i.cp <- numer / sum(m.ct.i.tab))
print(m.ct.x.tab <- table(m.ct.x.actu,m.ct.x.pred))
numer <- 0
for (i in 1:par3) {
print(m.ct.x.tab[i,i] / sum(m.ct.x.tab[i,]))
numer <- numer + m.ct.x.tab[i,i]
}
print(m.ct.x.cp <- numer / sum(m.ct.x.tab))
for (i in 1:par3) {
a<-table.row.start(a)
a<-table.element(a,paste('C',i,sep=''),1,TRUE)
for (jjj in 1:par3) a<-table.element(a,m.ct.i.tab[i,jjj])
a<-table.element(a,round(m.ct.i.tab[i,i]/sum(m.ct.i.tab[i,]),4))
for (jjj in 1:par3) a<-table.element(a,m.ct.x.tab[i,jjj])
a<-table.element(a,round(m.ct.x.tab[i,i]/sum(m.ct.x.tab[i,]),4))
a<-table.row.end(a)
}
a<-table.row.start(a)
a<-table.element(a,'Overall',1,TRUE)
for (jjj in 1:par3) a<-table.element(a,'-')
a<-table.element(a,round(m.ct.i.cp,4))
for (jjj in 1:par3) a<-table.element(a,'-')
a<-table.element(a,round(m.ct.x.cp,4))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable3.tab')
}
}
m
bitmap(file='test1.png')
plot(m)
dev.off()
bitmap(file='test1a.png')
plot(x[,par1] ~ as.factor(where(m)),main='Response by Terminal Node',xlab='Terminal Node',ylab='Response')
dev.off()
if (par2 == 'none') {
forec <- predict(m)
result <- as.data.frame(cbind(x[,par1],forec,x[,par1]-forec))
colnames(result) <- c('Actuals','Forecasts','Residuals')
print(result)
}
if (par2 != 'none') {
print(cbind(as.factor(x[,par1]),predict(m)))
myt <- table(as.factor(x[,par1]),predict(m))
print(myt)
}
bitmap(file='test2.png')
if(par2=='none') {
op <- par(mfrow=c(2,2))
plot(density(result$Actuals),main='Kernel Density Plot of Actuals')
plot(density(result$Residuals),main='Kernel Density Plot of Residuals')
plot(result$Forecasts,result$Actuals,main='Actuals versus Predictions',xlab='Predictions',ylab='Actuals')
plot(density(result$Forecasts),main='Kernel Density Plot of Predictions')
par(op)
}
if(par2!='none') {
plot(myt,main='Confusion Matrix',xlab='Actual',ylab='Predicted')
}
dev.off()
if (par2 == 'none') {
detcoef <- cor(result$Forecasts,result$Actuals)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Goodness of Fit',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Correlation',1,TRUE)
a<-table.element(a,round(detcoef,4))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'R-squared',1,TRUE)
a<-table.element(a,round(detcoef*detcoef,4))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'RMSE',1,TRUE)
a<-table.element(a,round(sqrt(mean((result$Residuals)^2)),4))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Actuals, Predictions, and Residuals',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'#',header=TRUE)
a<-table.element(a,'Actuals',header=TRUE)
a<-table.element(a,'Forecasts',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(result$Actuals)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,result$Actuals[i])
a<-table.element(a,result$Forecasts[i])
a<-table.element(a,result$Residuals[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
}
if (par2 != 'none') {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Confusion Matrix (predicted in columns / actuals in rows)',par3+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'',1,TRUE)
for (i in 1:par3) {
a<-table.element(a,paste('C',i,sep=''),1,TRUE)
}
a<-table.row.end(a)
for (i in 1:par3) {
a<-table.row.start(a)
a<-table.element(a,paste('C',i,sep=''),1,TRUE)
for (j in 1:par3) {
a<-table.element(a,myt[i,j])
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')
}