Free Statistics

of Irreproducible Research!

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 computationSun, 12 Dec 2010 20:55:40 +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/12/t1292187234vyq5vwucnhws20v.htm/, Retrieved Tue, 07 May 2024 12:58:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=108679, Retrieved Tue, 07 May 2024 12:58:43 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact140
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Kendall tau Correlation Matrix] [Workshop 10 Kenda...] [2010-12-12 20:39:50] [ebb35fb07def4d07c0eb7ec8d2fd3b0e]
F RMP     [Recursive Partitioning (Regression Trees)] [ws10] [2010-12-12 20:55:40] [4c92126b39409bf78ea2674c8170c829] [Current]
Feedback Forum
2010-12-15 19:14:47 [Pascal Wijnen] [reply
Wederom zelfde uitleg als bij: http://www.freestatistics.org/blog/index.php?v=date/2010/Dec/12/t129218699037v6pqt0mr4eua8.htm/

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Dataseries X:
12008.00	4.00
9169.00	5.90
8788.00	7.10
8417.00	10.50
8247.00	15.10
8197.00	16.80
8236.00	15.30
8253.00	18.40
7733.00	16.10
8366.00	11.30
8626.00	7.90
8863.00	5.60
10102.00	3.40
8463.00	4.80
9114.00	6.50
8563.00	8.50
8872.00	15.10
8301.00	15.70
8301.00	18.70
8278.00	19.20
7736.00	12.90
7973.00	14.40
8268.00	6.20
9476.00	3.30
11100.00	4.60
8962.00	7.10
9173.00	7.80
8738.00	9.90
8459.00	13.60
8078.00	17.10
8411.00	17.80
8291.00	18.60
7810.00	14.70
8616.00	10.50
8312.00	8.60
9692.00	4.40
9911.00	2.30
8915.00	2.80
9452.00	8.80
9112.00	10.70
8472.00	13.90
8230.00	19.30
8384.00	19.50
8625.00	20.40
8221.00	15.30
8649.00	7.90
8625.00	8.30
10443.00	4.50
10357.00	3.20
8586.00	5.00
8892.00	6.60
8329.00	11.10
8101.00	12.80
7922.00	16.30
8120.00	17.40
7838.00	18.90
7735.00	15.80
8406.00	11.70
8209.00	6.40
9451.00	2.90
10041.00	4.70
9411.00	2.40
10405.00	7.20
8467.00	10.70
8464.00	13.40
8102.00	18.30
7627.00	18.40
7513.00	16.80
7510.00	16.60
8291.00	14.10
8064.00	6.10
9383.00	3.50
9706.00	1.70
8579.00	2.30
9474.00	4.50
8318.00	9.30
8213.00	14.20
8059.00	17.30
9111.00	23.00
7708.00	16.30
7680.00	18.40
8014.00	14.20
8007.00	9.10
8718.00	5.90
9486.00	7.20
9113.00	6.80
9025.00	8.00
8476.00	14.30
7952.00	14.60
7759.00	17.50
7835.00	17.20
7600.00	17.20
7651.00	14.10
8319.00	10.40
8812.00	6.80
8630.00	4.10




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108679&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108679&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108679&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'Gwilym Jenkins' @ 72.249.127.135







10-Fold Cross Validation
Prediction (training)Prediction (testing)
ActualC1C2C3C4CVC1C2C3C4CV
C1182121510.8667252210.8333
C2110494860.231511100.037
C34914109460.542880.3636
C448631430.656118120.5455
Overall----0.5623----0.4554

\begin{tabular}{lllllllll}
\hline
10-Fold Cross Validation \tabularnewline
 & Prediction (training) & Prediction (testing) \tabularnewline
Actual & C1 & C2 & C3 & C4 & CV & C1 & C2 & C3 & C4 & CV \tabularnewline
C1 & 182 & 12 & 15 & 1 & 0.8667 & 25 & 2 & 2 & 1 & 0.8333 \tabularnewline
C2 & 110 & 49 & 48 & 6 & 0.23 & 15 & 1 & 11 & 0 & 0.037 \tabularnewline
C3 & 49 & 14 & 109 & 46 & 0.5 & 4 & 2 & 8 & 8 & 0.3636 \tabularnewline
C4 & 4 & 8 & 63 & 143 & 0.656 & 1 & 1 & 8 & 12 & 0.5455 \tabularnewline
Overall & - & - & - & - & 0.5623 & - & - & - & - & 0.4554 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108679&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]C4[/C][C]CV[/C][C]C1[/C][C]C2[/C][C]C3[/C][C]C4[/C][C]CV[/C][/ROW]
[ROW][C]C1[/C][C]182[/C][C]12[/C][C]15[/C][C]1[/C][C]0.8667[/C][C]25[/C][C]2[/C][C]2[/C][C]1[/C][C]0.8333[/C][/ROW]
[ROW][C]C2[/C][C]110[/C][C]49[/C][C]48[/C][C]6[/C][C]0.23[/C][C]15[/C][C]1[/C][C]11[/C][C]0[/C][C]0.037[/C][/ROW]
[ROW][C]C3[/C][C]49[/C][C]14[/C][C]109[/C][C]46[/C][C]0.5[/C][C]4[/C][C]2[/C][C]8[/C][C]8[/C][C]0.3636[/C][/ROW]
[ROW][C]C4[/C][C]4[/C][C]8[/C][C]63[/C][C]143[/C][C]0.656[/C][C]1[/C][C]1[/C][C]8[/C][C]12[/C][C]0.5455[/C][/ROW]
[ROW][C]Overall[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]0.5623[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]0.4554[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108679&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108679&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)
ActualC1C2C3C4CVC1C2C3C4CV
C1182121510.8667252210.8333
C2110494860.231511100.037
C34914109460.542880.3636
C448631430.656118120.5455
Overall----0.5623----0.4554







Confusion Matrix (predicted in columns / actuals in rows)
C1C2C3C4
C121120
C210590
C351153
C401914

\begin{tabular}{lllllllll}
\hline
Confusion Matrix (predicted in columns / actuals in rows) \tabularnewline
 & C1 & C2 & C3 & C4 \tabularnewline
C1 & 21 & 1 & 2 & 0 \tabularnewline
C2 & 10 & 5 & 9 & 0 \tabularnewline
C3 & 5 & 1 & 15 & 3 \tabularnewline
C4 & 0 & 1 & 9 & 14 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108679&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][C]C4[/C][/ROW]
[ROW][C]C1[/C][C]21[/C][C]1[/C][C]2[/C][C]0[/C][/ROW]
[ROW][C]C2[/C][C]10[/C][C]5[/C][C]9[/C][C]0[/C][/ROW]
[ROW][C]C3[/C][C]5[/C][C]1[/C][C]15[/C][C]3[/C][/ROW]
[ROW][C]C4[/C][C]0[/C][C]1[/C][C]9[/C][C]14[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108679&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108679&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)
C1C2C3C4
C121120
C210590
C351153
C401914



Parameters (Session):
par1 = 1 ; par2 = quantiles ; par3 = 4 ; par4 = yes ;
Parameters (R input):
par1 = 1 ; par2 = quantiles ; par3 = 4 ; 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')
}