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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 computationMon, 11 Jan 2016 09:51:29 +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/2016/Jan/11/t1452505898fr00mqvswcbsnjh.htm/, Retrieved Tue, 07 May 2024 12:14:05 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=289249, Retrieved Tue, 07 May 2024 12:14:05 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact53
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Recursive Partitioning (Regression Trees)] [] [2016-01-11 09:51:29] [8cb368264840f2b7a934420a1598bd9a] [Current]
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Dataseries X:
6 1 0 0 0 3.2 3.2
7 0 1 0 1 3.3 0
2 0 1 1 1 3.0 3
11 0 1 0 1 3.5 0
13 0 1 0 0 3.7 3.7
3 1 0 0 0 2.7 0
17 0 1 1 1 3.6 3.6
10 0 1 0 1 3.5 0
4 1 0 0 0 3.8 3.8
12 0 1 0 0 3.4 0
7 0 0 0 1 3.7 3.7
11 0 1 0 0 3.5 0
3 0 0 1 0 2.8 2.8
5 1 0 1 0 3.8 0
1 0 1 0 0 4.3 4.3
12 0 0 0 1 3.3 0
18 0 0 0 0 3.6 3.6
8 1 0 1 0 3.6 0
6 1 1 0 0 3.3 3.3
1 0 0 0 0 2.8 0




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net

\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 & 3 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=289249&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=289249&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=289249&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 time3 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Goodness of Fit
CorrelationNA
R-squaredNA
RMSE4.8916

\begin{tabular}{lllllllll}
\hline
Goodness of Fit \tabularnewline
Correlation & NA \tabularnewline
R-squared & NA \tabularnewline
RMSE & 4.8916 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=289249&T=1

[TABLE]
[ROW][C]Goodness of Fit[/C][/ROW]
[ROW][C]Correlation[/C][C]NA[/C][/ROW]
[ROW][C]R-squared[/C][C]NA[/C][/ROW]
[ROW][C]RMSE[/C][C]4.8916[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=289249&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=289249&T=1

As an alternative you can also use a QR Code:  

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

Goodness of Fit
CorrelationNA
R-squaredNA
RMSE4.8916







Actuals, Predictions, and Residuals
#ActualsForecastsResiduals
167.85-1.85
277.85-0.85
327.85-5.85
4117.853.15
5137.855.15
637.85-4.85
7177.859.15
8107.852.15
947.85-3.85
10127.854.15
1177.85-0.85
12117.853.15
1337.85-4.85
1457.85-2.85
1517.85-6.85
16127.854.15
17187.8510.15
1887.850.15
1967.85-1.85
2017.85-6.85

\begin{tabular}{lllllllll}
\hline
Actuals, Predictions, and Residuals \tabularnewline
# & Actuals & Forecasts & Residuals \tabularnewline
1 & 6 & 7.85 & -1.85 \tabularnewline
2 & 7 & 7.85 & -0.85 \tabularnewline
3 & 2 & 7.85 & -5.85 \tabularnewline
4 & 11 & 7.85 & 3.15 \tabularnewline
5 & 13 & 7.85 & 5.15 \tabularnewline
6 & 3 & 7.85 & -4.85 \tabularnewline
7 & 17 & 7.85 & 9.15 \tabularnewline
8 & 10 & 7.85 & 2.15 \tabularnewline
9 & 4 & 7.85 & -3.85 \tabularnewline
10 & 12 & 7.85 & 4.15 \tabularnewline
11 & 7 & 7.85 & -0.85 \tabularnewline
12 & 11 & 7.85 & 3.15 \tabularnewline
13 & 3 & 7.85 & -4.85 \tabularnewline
14 & 5 & 7.85 & -2.85 \tabularnewline
15 & 1 & 7.85 & -6.85 \tabularnewline
16 & 12 & 7.85 & 4.15 \tabularnewline
17 & 18 & 7.85 & 10.15 \tabularnewline
18 & 8 & 7.85 & 0.15 \tabularnewline
19 & 6 & 7.85 & -1.85 \tabularnewline
20 & 1 & 7.85 & -6.85 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=289249&T=2

[TABLE]
[ROW][C]Actuals, Predictions, and Residuals[/C][/ROW]
[ROW][C]#[/C][C]Actuals[/C][C]Forecasts[/C][C]Residuals[/C][/ROW]
[ROW][C]1[/C][C]6[/C][C]7.85[/C][C]-1.85[/C][/ROW]
[ROW][C]2[/C][C]7[/C][C]7.85[/C][C]-0.85[/C][/ROW]
[ROW][C]3[/C][C]2[/C][C]7.85[/C][C]-5.85[/C][/ROW]
[ROW][C]4[/C][C]11[/C][C]7.85[/C][C]3.15[/C][/ROW]
[ROW][C]5[/C][C]13[/C][C]7.85[/C][C]5.15[/C][/ROW]
[ROW][C]6[/C][C]3[/C][C]7.85[/C][C]-4.85[/C][/ROW]
[ROW][C]7[/C][C]17[/C][C]7.85[/C][C]9.15[/C][/ROW]
[ROW][C]8[/C][C]10[/C][C]7.85[/C][C]2.15[/C][/ROW]
[ROW][C]9[/C][C]4[/C][C]7.85[/C][C]-3.85[/C][/ROW]
[ROW][C]10[/C][C]12[/C][C]7.85[/C][C]4.15[/C][/ROW]
[ROW][C]11[/C][C]7[/C][C]7.85[/C][C]-0.85[/C][/ROW]
[ROW][C]12[/C][C]11[/C][C]7.85[/C][C]3.15[/C][/ROW]
[ROW][C]13[/C][C]3[/C][C]7.85[/C][C]-4.85[/C][/ROW]
[ROW][C]14[/C][C]5[/C][C]7.85[/C][C]-2.85[/C][/ROW]
[ROW][C]15[/C][C]1[/C][C]7.85[/C][C]-6.85[/C][/ROW]
[ROW][C]16[/C][C]12[/C][C]7.85[/C][C]4.15[/C][/ROW]
[ROW][C]17[/C][C]18[/C][C]7.85[/C][C]10.15[/C][/ROW]
[ROW][C]18[/C][C]8[/C][C]7.85[/C][C]0.15[/C][/ROW]
[ROW][C]19[/C][C]6[/C][C]7.85[/C][C]-1.85[/C][/ROW]
[ROW][C]20[/C][C]1[/C][C]7.85[/C][C]-6.85[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=289249&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=289249&T=2

As an alternative you can also use a QR Code:  

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

Actuals, Predictions, and Residuals
#ActualsForecastsResiduals
167.85-1.85
277.85-0.85
327.85-5.85
4117.853.15
5137.855.15
637.85-4.85
7177.859.15
8107.852.15
947.85-3.85
10127.854.15
1177.85-0.85
12117.853.15
1337.85-4.85
1457.85-2.85
1517.85-6.85
16127.854.15
17187.8510.15
1887.850.15
1967.85-1.85
2017.85-6.85



Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = 0,84 ; par4 = two.sided ; par5 = unpaired ;
Parameters (R input):
par1 = 1 ; par2 = none ; par3 = 1 ; par4 = yes ;
R code (references can be found in the software module):
par4 <- 'no'
par3 <- '1'
par2 <- 'none'
par1 <- '1'
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')
}