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 computationMon, 13 Dec 2010 19:59:05 +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/13/t129227033774jolcb7dfff0y9.htm/, Retrieved Mon, 06 May 2024 20:35:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=109137, Retrieved Mon, 06 May 2024 20:35:00 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact145
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 20:13:50] [b98453cac15ba1066b407e146608df68]
F   PD    [Recursive Partitioning (Regression Trees)] [Recursive Partiti...] [2010-12-13 19:59:05] [dfb0309aec67f282200eef05efe0d5bd] [Current]
Feedback Forum
2010-12-18 11:35:03 [00c625c7d009d84797af914265b614f9] [reply
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Dataseries X:
0	13	26	9	6	25	25
0	16	20	9	6	25	24
0	19	21	9	13	19	21
1	15	31	14	8	18	23
0	14	21	8	7	18	17
0	13	18	8	9	22	19
0	19	26	11	5	29	18
0	15	22	10	8	26	27
0	14	22	9	9	25	23
0	15	29	15	11	23	23
1	16	15	14	8	23	29
0	16	16	11	11	23	21
1	16	24	14	12	24	26
0	17	17	6	8	30	25
1	15	19	20	7	19	25
1	15	22	9	9	24	23
0	20	31	10	12	32	26
1	18	28	8	20	30	20
0	16	38	11	7	29	29
1	16	26	14	8	17	24
0	19	25	11	8	25	23
0	16	25	16	16	26	24
1	17	29	14	10	26	30
0	17	28	11	6	25	22
1	16	15	11	8	23	22
0	15	18	12	9	21	13
1	14	21	9	9	19	24
0	15	25	7	11	35	17
1	12	23	13	12	19	24
0	14	23	10	8	20	21
0	16	19	9	7	21	23
1	14	18	9	8	21	24
1	7	18	13	9	24	24
1	10	26	16	4	23	24
1	14	18	12	8	19	23
0	16	18	6	8	17	26
1	16	28	14	8	24	24
1	16	17	14	6	15	21
0	14	29	10	8	25	23
1	20	12	4	4	27	28
1	14	25	12	7	29	23
0	14	28	12	14	27	22
0	11	20	14	10	18	24
0	15	17	9	9	25	21
0	16	17	9	6	22	23
1	14	20	10	8	26	23
0	16	31	14	11	23	20
1	14	21	10	8	16	23
1	12	19	9	8	27	21
0	16	23	14	10	25	27
1	9	15	8	8	14	12
0	14	24	9	10	19	15
0	16	28	8	7	20	22
0	16	16	9	8	16	21
1	15	19	9	7	18	21
0	16	21	9	9	22	20
1	12	21	15	5	21	24
1	16	20	8	7	22	24
0	16	16	10	7	22	29
0	14	25	8	7	32	25
0	16	30	14	9	23	14
1	17	29	11	5	31	30
0	18	22	10	8	18	19
1	18	19	12	8	23	29
0	12	33	14	8	26	25
1	16	17	9	9	24	25
1	10	9	13	6	19	25
0	14	14	15	8	14	16
0	18	15	8	6	20	25
1	18	12	7	4	22	28
1	16	21	10	6	24	24
0	16	20	10	4	25	25
0	16	29	13	12	21	21
1	13	33	11	6	28	22
1	16	21	8	11	24	20
1	16	15	12	8	20	25
1	20	19	9	10	21	27
0	16	23	10	10	23	21
1	15	20	11	4	13	13
0	15	20	11	8	24	26
0	16	18	10	9	21	26
1	14	31	16	9	21	25
0	15	18	16	7	17	22
0	12	13	8	7	14	19
0	17	9	6	11	29	23
0	16	20	11	8	25	25
0	15	18	12	8	16	15
0	13	23	14	7	25	21
0	16	17	9	5	25	23
0	16	17	11	7	21	25
0	16	16	8	9	23	24
1	16	31	8	8	22	24
1	14	15	7	6	19	21
0	16	28	16	8	24	24
1	16	26	13	10	26	22
0	20	20	8	10	25	24
1	15	19	11	8	20	28
0	16	25	14	11	22	21
1	13	18	10	8	14	17
0	17	20	10	8	20	28
1	16	33	14	6	32	24
0	12	24	14	20	21	10
0	16	22	10	6	22	20
0	16	32	12	12	28	22
0	17	31	9	9	25	19
1	13	13	16	5	17	22
0	12	18	8	10	21	22
1	18	17	9	5	23	26
0	14	29	16	6	27	24
0	14	22	13	10	22	22
0	13	18	13	6	19	20
0	16	22	8	10	20	20
0	13	25	14	5	17	15
0	16	20	11	13	24	20
0	13	20	9	7	21	20
0	16	17	8	9	21	24
0	15	21	13	11	23	22
0	16	26	13	8	24	29
1	15	10	10	5	19	23
0	17	15	8	4	22	24
0	15	20	7	9	26	22
0	12	14	11	7	17	16
1	16	16	11	5	17	23
1	10	23	14	5	19	27
0	16	11	6	4	15	16
1	14	19	10	7	17	21
0	15	30	9	9	27	26
1	13	21	12	8	19	22
1	15	20	11	8	21	23
0	11	22	14	11	25	19
0	12	30	12	10	19	18
1	8	25	14	9	22	24
0	16	28	8	12	18	24
1	15	23	14	10	20	29
0	17	23	8	10	15	22
1	16	21	11	7	20	24
0	10	30	12	10	29	22
0	18	22	9	6	19	12
1	13	32	16	6	29	26
0	15	22	11	11	24	18
1	16	15	11	8	23	22
0	16	21	12	9	22	24
0	14	27	15	9	23	21
0	10	22	13	13	22	15
0	17	9	6	11	29	23
0	13	29	11	4	26	22
0	15	20	7	9	26	22
0	16	16	8	5	21	24
0	12	16	8	4	18	23
0	13	16	9	9	10	13




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=109137&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=109137&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109137&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)
ActualC1C2CVC1C2CV
C16472000.763957260.6867
C22442710.526242130.2364
Overall--0.674--0.5072

\begin{tabular}{lllllllll}
\hline
10-Fold Cross Validation \tabularnewline
 & Prediction (training) & Prediction (testing) \tabularnewline
Actual & C1 & C2 & CV & C1 & C2 & CV \tabularnewline
C1 & 647 & 200 & 0.7639 & 57 & 26 & 0.6867 \tabularnewline
C2 & 244 & 271 & 0.5262 & 42 & 13 & 0.2364 \tabularnewline
Overall & - & - & 0.674 & - & - & 0.5072 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109137&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]CV[/C][C]C1[/C][C]C2[/C][C]CV[/C][/ROW]
[ROW][C]C1[/C][C]647[/C][C]200[/C][C]0.7639[/C][C]57[/C][C]26[/C][C]0.6867[/C][/ROW]
[ROW][C]C2[/C][C]244[/C][C]271[/C][C]0.5262[/C][C]42[/C][C]13[/C][C]0.2364[/C][/ROW]
[ROW][C]Overall[/C][C]-[/C][C]-[/C][C]0.674[/C][C]-[/C][C]-[/C][C]0.5072[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109137&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109137&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)
ActualC1C2CVC1C2CV
C16472000.763957260.6867
C22442710.526242130.2364
Overall--0.674--0.5072







Confusion Matrix (predicted in columns / actuals in rows)
C1C2
C1849
C23522

\begin{tabular}{lllllllll}
\hline
Confusion Matrix (predicted in columns / actuals in rows) \tabularnewline
 & C1 & C2 \tabularnewline
C1 & 84 & 9 \tabularnewline
C2 & 35 & 22 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109137&T=2

[TABLE]
[ROW][C]Confusion Matrix (predicted in columns / actuals in rows)[/C][/ROW]
[ROW][C][/C][C]C1[/C][C]C2[/C][/ROW]
[ROW][C]C1[/C][C]84[/C][C]9[/C][/ROW]
[ROW][C]C2[/C][C]35[/C][C]22[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109137&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109137&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)
C1C2
C1849
C23522



Parameters (Session):
par1 = 2 ; par2 = none ; par3 = 3 ; par4 = no ;
Parameters (R input):
par1 = 1 ; par2 = equal ; par3 = 2 ; 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')
}