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 computationFri, 10 Dec 2010 12:54:47 +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/10/t129198557414vs5cn9zsm610q.htm/, Retrieved Mon, 29 Apr 2024 09:46:59 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=107621, Retrieved Mon, 29 Apr 2024 09:46:59 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact180
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 19:35:21] [b98453cac15ba1066b407e146608df68]
-   PD    [Recursive Partitioning (Regression Trees)] [Brutoloonindex] [2010-12-10 12:54:47] [8e16b01a5be2b3f7f3ad6418d9d6fd5b] [Current]
-   P       [Recursive Partitioning (Regression Trees)] [Brutoloonindex] [2010-12-10 12:56:41] [3074aa973ede76ac75d398946b01602f]
Feedback Forum

Post a new message
Dataseries X:
2148	77.405	82.145	315.4
2118	85.056	78.213	329.3
1603	90.088	88.099	308.2
2066	99.285	106.25	335.8
2095	80.428	80.487	343.7
2210	88.017	80.336	349.2
1609	93.489	90.065	312.4
1964	103.961	108.888	337.6
2114	82.591	82.747	360.2
2054	90.913	82.213	372.1
1424	96.787	93.41	341.8
2025	106.045	109.465	377.4
2003	84.752	84.373	337.2
2017	94.173	98.715	384.6
1528	97.733	99.646	358.6
2130	108.499	115.239	383.4
2017	87.972	89.082	384.4
2260	96.091	89.934	402.7
1805	101.846	99.957	372.1
2394	115.652	122.717	364.9
2586	91.269	95.895	314.9
2429	100.911	97.085	320.7
1910	105.248	109.414	308.6
2515	118.681	126.945	328.7




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107621&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107621&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107621&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'RServer@AstonUniversity' @ vre.aston.ac.uk







Goodness of Fit
Correlation0.7958
R-squared0.6333
RMSE6.318

\begin{tabular}{lllllllll}
\hline
Goodness of Fit \tabularnewline
Correlation & 0.7958 \tabularnewline
R-squared & 0.6333 \tabularnewline
RMSE & 6.318 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107621&T=1

[TABLE]
[ROW][C]Goodness of Fit[/C][/ROW]
[ROW][C]Correlation[/C][C]0.7958[/C][/ROW]
[ROW][C]R-squared[/C][C]0.6333[/C][/ROW]
[ROW][C]RMSE[/C][C]6.318[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107621&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107621&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
Correlation0.7958
R-squared0.6333
RMSE6.318







Actuals, Predictions, and Residuals
#ActualsForecastsResiduals
177.40588.066-10.661
285.05688.066-3.01000000000001
390.08888.0662.02199999999999
499.285104.730363636364-5.44536363636364
580.42888.066-7.638
688.01788.066-0.0490000000000066
793.48988.0665.423
8103.961104.730363636364-0.769363636363636
982.59188.066-5.47500000000001
1090.91388.0662.84699999999999
1196.78788.0668.721
12106.045104.7303636363641.31463636363637
1384.75288.066-3.31400000000001
1494.173104.730363636364-10.5573636363636
1597.733104.730363636364-6.99736363636363
16108.499104.7303636363643.76863636363636
1787.97288.066-0.0940000000000083
1896.09188.0668.02499999999999
19101.846104.730363636364-2.88436363636363
20115.652104.73036363636410.9216363636364
2191.26988.0663.203
22100.911104.730363636364-3.81936363636363
23105.248104.7303636363640.51763636363637
24118.681104.73036363636413.9506363636364

\begin{tabular}{lllllllll}
\hline
Actuals, Predictions, and Residuals \tabularnewline
# & Actuals & Forecasts & Residuals \tabularnewline
1 & 77.405 & 88.066 & -10.661 \tabularnewline
2 & 85.056 & 88.066 & -3.01000000000001 \tabularnewline
3 & 90.088 & 88.066 & 2.02199999999999 \tabularnewline
4 & 99.285 & 104.730363636364 & -5.44536363636364 \tabularnewline
5 & 80.428 & 88.066 & -7.638 \tabularnewline
6 & 88.017 & 88.066 & -0.0490000000000066 \tabularnewline
7 & 93.489 & 88.066 & 5.423 \tabularnewline
8 & 103.961 & 104.730363636364 & -0.769363636363636 \tabularnewline
9 & 82.591 & 88.066 & -5.47500000000001 \tabularnewline
10 & 90.913 & 88.066 & 2.84699999999999 \tabularnewline
11 & 96.787 & 88.066 & 8.721 \tabularnewline
12 & 106.045 & 104.730363636364 & 1.31463636363637 \tabularnewline
13 & 84.752 & 88.066 & -3.31400000000001 \tabularnewline
14 & 94.173 & 104.730363636364 & -10.5573636363636 \tabularnewline
15 & 97.733 & 104.730363636364 & -6.99736363636363 \tabularnewline
16 & 108.499 & 104.730363636364 & 3.76863636363636 \tabularnewline
17 & 87.972 & 88.066 & -0.0940000000000083 \tabularnewline
18 & 96.091 & 88.066 & 8.02499999999999 \tabularnewline
19 & 101.846 & 104.730363636364 & -2.88436363636363 \tabularnewline
20 & 115.652 & 104.730363636364 & 10.9216363636364 \tabularnewline
21 & 91.269 & 88.066 & 3.203 \tabularnewline
22 & 100.911 & 104.730363636364 & -3.81936363636363 \tabularnewline
23 & 105.248 & 104.730363636364 & 0.51763636363637 \tabularnewline
24 & 118.681 & 104.730363636364 & 13.9506363636364 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107621&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]77.405[/C][C]88.066[/C][C]-10.661[/C][/ROW]
[ROW][C]2[/C][C]85.056[/C][C]88.066[/C][C]-3.01000000000001[/C][/ROW]
[ROW][C]3[/C][C]90.088[/C][C]88.066[/C][C]2.02199999999999[/C][/ROW]
[ROW][C]4[/C][C]99.285[/C][C]104.730363636364[/C][C]-5.44536363636364[/C][/ROW]
[ROW][C]5[/C][C]80.428[/C][C]88.066[/C][C]-7.638[/C][/ROW]
[ROW][C]6[/C][C]88.017[/C][C]88.066[/C][C]-0.0490000000000066[/C][/ROW]
[ROW][C]7[/C][C]93.489[/C][C]88.066[/C][C]5.423[/C][/ROW]
[ROW][C]8[/C][C]103.961[/C][C]104.730363636364[/C][C]-0.769363636363636[/C][/ROW]
[ROW][C]9[/C][C]82.591[/C][C]88.066[/C][C]-5.47500000000001[/C][/ROW]
[ROW][C]10[/C][C]90.913[/C][C]88.066[/C][C]2.84699999999999[/C][/ROW]
[ROW][C]11[/C][C]96.787[/C][C]88.066[/C][C]8.721[/C][/ROW]
[ROW][C]12[/C][C]106.045[/C][C]104.730363636364[/C][C]1.31463636363637[/C][/ROW]
[ROW][C]13[/C][C]84.752[/C][C]88.066[/C][C]-3.31400000000001[/C][/ROW]
[ROW][C]14[/C][C]94.173[/C][C]104.730363636364[/C][C]-10.5573636363636[/C][/ROW]
[ROW][C]15[/C][C]97.733[/C][C]104.730363636364[/C][C]-6.99736363636363[/C][/ROW]
[ROW][C]16[/C][C]108.499[/C][C]104.730363636364[/C][C]3.76863636363636[/C][/ROW]
[ROW][C]17[/C][C]87.972[/C][C]88.066[/C][C]-0.0940000000000083[/C][/ROW]
[ROW][C]18[/C][C]96.091[/C][C]88.066[/C][C]8.02499999999999[/C][/ROW]
[ROW][C]19[/C][C]101.846[/C][C]104.730363636364[/C][C]-2.88436363636363[/C][/ROW]
[ROW][C]20[/C][C]115.652[/C][C]104.730363636364[/C][C]10.9216363636364[/C][/ROW]
[ROW][C]21[/C][C]91.269[/C][C]88.066[/C][C]3.203[/C][/ROW]
[ROW][C]22[/C][C]100.911[/C][C]104.730363636364[/C][C]-3.81936363636363[/C][/ROW]
[ROW][C]23[/C][C]105.248[/C][C]104.730363636364[/C][C]0.51763636363637[/C][/ROW]
[ROW][C]24[/C][C]118.681[/C][C]104.730363636364[/C][C]13.9506363636364[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107621&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107621&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
177.40588.066-10.661
285.05688.066-3.01000000000001
390.08888.0662.02199999999999
499.285104.730363636364-5.44536363636364
580.42888.066-7.638
688.01788.066-0.0490000000000066
793.48988.0665.423
8103.961104.730363636364-0.769363636363636
982.59188.066-5.47500000000001
1090.91388.0662.84699999999999
1196.78788.0668.721
12106.045104.7303636363641.31463636363637
1384.75288.066-3.31400000000001
1494.173104.730363636364-10.5573636363636
1597.733104.730363636364-6.99736363636363
16108.499104.7303636363643.76863636363636
1787.97288.066-0.0940000000000083
1896.09188.0668.02499999999999
19101.846104.730363636364-2.88436363636363
20115.652104.73036363636410.9216363636364
2191.26988.0663.203
22100.911104.730363636364-3.81936363636363
23105.248104.7303636363640.51763636363637
24118.681104.73036363636413.9506363636364



Parameters (Session):
par1 = 2 ; par2 = none ; par4 = no ;
Parameters (R input):
par1 = 2 ; par2 = none ; par3 = ; par4 = no ;
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')
}