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, 24 Dec 2010 17:34:22 +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/24/t1293211998q31dm5v4s3kf702.htm/, Retrieved Tue, 30 Apr 2024 03:45:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=115238, Retrieved Tue, 30 Apr 2024 03:45:34 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact118
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]
-   PD  [Recursive Partitioning (Regression Trees)] [WS10 - Recursive ...] [2010-12-11 11:34:24] [8ef49741e164ec6343c90c7935194465]
- R  D    [Recursive Partitioning (Regression Trees)] [test] [2010-12-22 21:56:36] [8ef49741e164ec6343c90c7935194465]
-   P       [Recursive Partitioning (Regression Trees)] [Recursive Partiti...] [2010-12-24 17:22:43] [8ef49741e164ec6343c90c7935194465]
-   P           [Recursive Partitioning (Regression Trees)] [Recursive Partiti...] [2010-12-24 17:34:22] [934c3727858e074bf543f25f5906ed72] [Current]
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Dataseries X:
104.37	1	1	167.16	101.56	100.93
104.89	2	2	179.84	102.13	101.18
105.15	3	3	174.44	102.39	101.11
105.72	4	4	180.35	102.42	102.42
106.38	5	5	193.17	103.87	102.37
106.40	6	6	195.16	104.44	101.95
106.47	7	7	202.43	104.97	102.20
106.59	8	8	189.91	105.17	103.35
106.76	9	9	195.98	105.35	103.65
107.35	10	10	212.09	104.65	102.06
107.81	11	11	205.81	106.62	102.66
108.03	12	12	204.31	107.05	102.32
109.08	1	13	196.07	112.30	102.21
109.86	2	14	199.98	114.70	102.33
110.29	3	15	199.1	115.40	104.41
110.34	4	16	198.31	115.64	104.33
110.59	5	17	195.72	115.66	105.27
110.64	6	18	223.04	114.50	105.34
110.83	7	19	238.41	115.14	104.88
111.51	8	20	259.73	115.41	105.49
113.32	9	21	326.54	119.32	105.90
115.89	10	22	335.15	124.77	105.39
116.51	11	23	321.81	130.96	104.40
117.44	12	24	368.62	141.02	106.19
118.25	1	25	369.59	150.60	106.54
118.65	2	26	425	151.10	108.26
118.52	3	27	439.72	157.19	106.95
119.07	4	28	362.23	157.28	108.32
119.12	5	29	328.76	156.54	108.35
119.28	6	30	348.55	159.62	109.29
119.30	7	31	328.18	163.77	109.46
119.44	8	32	329.34	165.08	109.50
119.57	9	33	295.55	164.75	109.84
119.93	10	34	237.38	163.93	108.73
120.03	11	35	226.85	157.51	109.38
119.66	12	36	220.14	153.36	109.97
119.46	1	37	239.36	156.83	111.10
119.48	2	38	224.69	154.98	110.53
119.56	3	39	230.98	155.02	110.23
119.43	4	40	233.47	153.34	109.41
119.57	5	41	256.7	153.19	108.94
119.59	6	42	253.41	152.80	109.81
119.50	7	43	224.95	152.97	109.20
119.54	8	44	210.37	152.96	109.45
119.56	9	45	191.09	152.35	110.61
119.61	10	46	198.85	151.88	109.44
119.64	11	47	211.04	150.27	109.77
119.60	12	48	206.25	148.80	108.04
119.71	1	49	201.19	149.28	109.65
119.72	2	50	194.37	148.64	111.69
119.66	3	51	191.08	150.36	111.65
119.76	4	52	192.87	149.69	112.04
119.80	5	53	181.61	152.94	111.42
119.88	6	54	157.67	155.18	112.25
119.78	7	55	196.14	156.32	111.46
120.08	8	56	246.35	156.25	111.62
120.22	9	57	271.9 	155.52	111.77




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time10 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 & 10 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115238&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]10 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=115238&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115238&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 time10 seconds
R Server'George Udny Yule' @ 72.249.76.132







10-Fold Cross Validation
Prediction (training)Prediction (testing)
ActualC1C2C3C4CVC1C2C3C4CV
C11225000.9606149000.6087
C20124001015100.9375
C30311630.9508011340.7222
C40030950.76005100.6667
Overall----0.9177----0.7222

\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 & 122 & 5 & 0 & 0 & 0.9606 & 14 & 9 & 0 & 0 & 0.6087 \tabularnewline
C2 & 0 & 124 & 0 & 0 & 1 & 0 & 15 & 1 & 0 & 0.9375 \tabularnewline
C3 & 0 & 3 & 116 & 3 & 0.9508 & 0 & 1 & 13 & 4 & 0.7222 \tabularnewline
C4 & 0 & 0 & 30 & 95 & 0.76 & 0 & 0 & 5 & 10 & 0.6667 \tabularnewline
Overall & - & - & - & - & 0.9177 & - & - & - & - & 0.7222 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115238&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]122[/C][C]5[/C][C]0[/C][C]0[/C][C]0.9606[/C][C]14[/C][C]9[/C][C]0[/C][C]0[/C][C]0.6087[/C][/ROW]
[ROW][C]C2[/C][C]0[/C][C]124[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]15[/C][C]1[/C][C]0[/C][C]0.9375[/C][/ROW]
[ROW][C]C3[/C][C]0[/C][C]3[/C][C]116[/C][C]3[/C][C]0.9508[/C][C]0[/C][C]1[/C][C]13[/C][C]4[/C][C]0.7222[/C][/ROW]
[ROW][C]C4[/C][C]0[/C][C]0[/C][C]30[/C][C]95[/C][C]0.76[/C][C]0[/C][C]0[/C][C]5[/C][C]10[/C][C]0.6667[/C][/ROW]
[ROW][C]Overall[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]0.9177[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]0.7222[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115238&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115238&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
C11225000.9606149000.6087
C20124001015100.9375
C30311630.9508011340.7222
C40030950.76005100.6667
Overall----0.9177----0.7222







Confusion Matrix (predicted in columns / actuals in rows)
C1C2C3C4
C114100
C201400
C300131
C400311

\begin{tabular}{lllllllll}
\hline
Confusion Matrix (predicted in columns / actuals in rows) \tabularnewline
 & C1 & C2 & C3 & C4 \tabularnewline
C1 & 14 & 1 & 0 & 0 \tabularnewline
C2 & 0 & 14 & 0 & 0 \tabularnewline
C3 & 0 & 0 & 13 & 1 \tabularnewline
C4 & 0 & 0 & 3 & 11 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115238&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]14[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]C2[/C][C]0[/C][C]14[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]C3[/C][C]0[/C][C]0[/C][C]13[/C][C]1[/C][/ROW]
[ROW][C]C4[/C][C]0[/C][C]0[/C][C]3[/C][C]11[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115238&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115238&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
C114100
C201400
C300131
C400311



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')
}