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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, 12 Dec 2011 13:04:39 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/12/t1323713111rk4n1a91y147vn5.htm/, Retrieved Sat, 18 May 2024 11:02:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=154128, Retrieved Sat, 18 May 2024 11:02:57 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact119
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 18:59:57] [b98453cac15ba1066b407e146608df68]
- R PD  [Recursive Partitioning (Regression Trees)] [WS10 PLC no categ...] [2011-12-11 15:02:15] [9d4f280afcb4ecc352d7c6f913a0a151]
-   PD      [Recursive Partitioning (Regression Trees)] [WS10 PLC no categ...] [2011-12-12 18:04:39] [2a6d487209befbc7c5ce02a41ecac161] [Current]
-   PD        [Recursive Partitioning (Regression Trees)] [WS10 PLC no categ...] [2011-12-12 18:38:05] [9d4f280afcb4ecc352d7c6f913a0a151]
-   PD          [Recursive Partitioning (Regression Trees)] [Paper Regression ...] [2011-12-18 18:12:02] [9d4f280afcb4ecc352d7c6f913a0a151]
-   P             [Recursive Partitioning (Regression Trees)] [Paper Recursive P...] [2011-12-22 17:01:50] [9d4f280afcb4ecc352d7c6f913a0a151]
-   P               [Recursive Partitioning (Regression Trees)] [Paper Recursive P...] [2011-12-22 17:38:42] [9d4f280afcb4ecc352d7c6f913a0a151]
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Dataseries X:
16	68	4.1
17	71	4.6
15	62	3.8
17	75	4.4
17	58	3.2
16	60	3.1
16	67	3.8
16	68	4.1
17	71	4.3
17	69	3.7
16	68	3.5
16	67	3.2
15	63	3.7
16	62	3.3
15	60	3.4
15	63	4.0
16	65	4.1
17	67	3.8
15	63	3.4
16	61	3.6




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'George Udny Yule' @ yule.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 & 4 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=154128&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=154128&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=154128&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 time4 seconds
R Server'George Udny Yule' @ yule.wessa.net







Goodness of Fit
Correlation0.5752
R-squared0.3308
RMSE3.5128

\begin{tabular}{lllllllll}
\hline
Goodness of Fit \tabularnewline
Correlation & 0.5752 \tabularnewline
R-squared & 0.3308 \tabularnewline
RMSE & 3.5128 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=154128&T=1

[TABLE]
[ROW][C]Goodness of Fit[/C][/ROW]
[ROW][C]Correlation[/C][C]0.5752[/C][/ROW]
[ROW][C]R-squared[/C][C]0.3308[/C][/ROW]
[ROW][C]RMSE[/C][C]3.5128[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=154128&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=154128&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
Correlation0.5752
R-squared0.3308
RMSE3.5128







Actuals, Predictions, and Residuals
#ActualsForecastsResiduals
16867.41666666666670.583333333333329
27167.41666666666673.58333333333333
36267.4166666666667-5.41666666666667
47567.41666666666677.58333333333333
55862.375-4.375
66062.375-2.375
76767.4166666666667-0.416666666666671
86867.41666666666670.583333333333329
97167.41666666666673.58333333333333
106967.41666666666671.58333333333333
116862.3755.625
126762.3754.625
136367.4166666666667-4.41666666666667
146262.375-0.375
156062.375-2.375
166367.4166666666667-4.41666666666667
176567.4166666666667-2.41666666666667
186767.4166666666667-0.416666666666671
196362.3750.625
206162.375-1.375

\begin{tabular}{lllllllll}
\hline
Actuals, Predictions, and Residuals \tabularnewline
# & Actuals & Forecasts & Residuals \tabularnewline
1 & 68 & 67.4166666666667 & 0.583333333333329 \tabularnewline
2 & 71 & 67.4166666666667 & 3.58333333333333 \tabularnewline
3 & 62 & 67.4166666666667 & -5.41666666666667 \tabularnewline
4 & 75 & 67.4166666666667 & 7.58333333333333 \tabularnewline
5 & 58 & 62.375 & -4.375 \tabularnewline
6 & 60 & 62.375 & -2.375 \tabularnewline
7 & 67 & 67.4166666666667 & -0.416666666666671 \tabularnewline
8 & 68 & 67.4166666666667 & 0.583333333333329 \tabularnewline
9 & 71 & 67.4166666666667 & 3.58333333333333 \tabularnewline
10 & 69 & 67.4166666666667 & 1.58333333333333 \tabularnewline
11 & 68 & 62.375 & 5.625 \tabularnewline
12 & 67 & 62.375 & 4.625 \tabularnewline
13 & 63 & 67.4166666666667 & -4.41666666666667 \tabularnewline
14 & 62 & 62.375 & -0.375 \tabularnewline
15 & 60 & 62.375 & -2.375 \tabularnewline
16 & 63 & 67.4166666666667 & -4.41666666666667 \tabularnewline
17 & 65 & 67.4166666666667 & -2.41666666666667 \tabularnewline
18 & 67 & 67.4166666666667 & -0.416666666666671 \tabularnewline
19 & 63 & 62.375 & 0.625 \tabularnewline
20 & 61 & 62.375 & -1.375 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=154128&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]68[/C][C]67.4166666666667[/C][C]0.583333333333329[/C][/ROW]
[ROW][C]2[/C][C]71[/C][C]67.4166666666667[/C][C]3.58333333333333[/C][/ROW]
[ROW][C]3[/C][C]62[/C][C]67.4166666666667[/C][C]-5.41666666666667[/C][/ROW]
[ROW][C]4[/C][C]75[/C][C]67.4166666666667[/C][C]7.58333333333333[/C][/ROW]
[ROW][C]5[/C][C]58[/C][C]62.375[/C][C]-4.375[/C][/ROW]
[ROW][C]6[/C][C]60[/C][C]62.375[/C][C]-2.375[/C][/ROW]
[ROW][C]7[/C][C]67[/C][C]67.4166666666667[/C][C]-0.416666666666671[/C][/ROW]
[ROW][C]8[/C][C]68[/C][C]67.4166666666667[/C][C]0.583333333333329[/C][/ROW]
[ROW][C]9[/C][C]71[/C][C]67.4166666666667[/C][C]3.58333333333333[/C][/ROW]
[ROW][C]10[/C][C]69[/C][C]67.4166666666667[/C][C]1.58333333333333[/C][/ROW]
[ROW][C]11[/C][C]68[/C][C]62.375[/C][C]5.625[/C][/ROW]
[ROW][C]12[/C][C]67[/C][C]62.375[/C][C]4.625[/C][/ROW]
[ROW][C]13[/C][C]63[/C][C]67.4166666666667[/C][C]-4.41666666666667[/C][/ROW]
[ROW][C]14[/C][C]62[/C][C]62.375[/C][C]-0.375[/C][/ROW]
[ROW][C]15[/C][C]60[/C][C]62.375[/C][C]-2.375[/C][/ROW]
[ROW][C]16[/C][C]63[/C][C]67.4166666666667[/C][C]-4.41666666666667[/C][/ROW]
[ROW][C]17[/C][C]65[/C][C]67.4166666666667[/C][C]-2.41666666666667[/C][/ROW]
[ROW][C]18[/C][C]67[/C][C]67.4166666666667[/C][C]-0.416666666666671[/C][/ROW]
[ROW][C]19[/C][C]63[/C][C]62.375[/C][C]0.625[/C][/ROW]
[ROW][C]20[/C][C]61[/C][C]62.375[/C][C]-1.375[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=154128&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=154128&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
16867.41666666666670.583333333333329
27167.41666666666673.58333333333333
36267.4166666666667-5.41666666666667
47567.41666666666677.58333333333333
55862.375-4.375
66062.375-2.375
76767.4166666666667-0.416666666666671
86867.41666666666670.583333333333329
97167.41666666666673.58333333333333
106967.41666666666671.58333333333333
116862.3755.625
126762.3754.625
136367.4166666666667-4.41666666666667
146262.375-0.375
156062.375-2.375
166367.4166666666667-4.41666666666667
176567.4166666666667-2.41666666666667
186767.4166666666667-0.416666666666671
196362.3750.625
206162.375-1.375



Parameters (Session):
par1 = 2 ; par2 = none ; par3 = 3 ; par4 = no ;
Parameters (R input):
par1 = 2 ; par2 = none ; par3 = 3 ; 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')
}