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, 23 Dec 2011 12:48:30 -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/23/t1324662544xxrax7z735nlztk.htm/, Retrieved Mon, 29 Apr 2024 21:29:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=160608, Retrieved Mon, 29 Apr 2024 21:29:44 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact79
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Recursive Partitioning (Regression Trees)] [Cross validation ...] [2011-12-23 17:48:30] [5c55e7d277583a4a66c326a86fdb470e] [Current]
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Dataseries X:
1845	162687	95	595	115	0	48
1917	233285	67	580	79	1	75
192	7215	18	72	1	0	0
2665	164587	99	737	158	0	74
3709	283430	141	1255	127	0	92
7138	546996	275	2021	278	1	137
1888	192501	61	606	95	1	65
1909	213538	64	533	64	0	97
2140	182282	46	687	92	0	62
3168	336547	102	1074	130	1	72
1957	122275	77	637	158	2	50
2370	203938	72	743	120	0	88
1998	119300	110	701	87	0	68
3203	220796	122	1087	264	4	79
1505	174005	67	422	51	4	56
1574	156326	89	474	85	3	54
1965	164063	60	483	100	0	101
1314	90025	63	375	72	5	13
2921	179987	90	929	147	0	80
823	47066	29	262	49	0	19
1289	109572	64	437	40	0	33
2818	241285	103	850	99	0	99
1792	208339	77	652	127	1	38
2474	164166	59	754	166	1	68
1994	159763	89	619	41	1	54
1806	207078	34	657	160	0	63
2177	217028	169	695	92	0	66
1458	201536	96	366	59	0	90
3057	408960	124	1015	89	0	75
2487	250260	48	1029	104	0	68
1914	216527	46	576	81	0	69
1825	212949	51	656	116	2	80
2509	164248	110	812	105	4	59
3634	278911	136	1108	388	0	135
2608	238654	59	852	88	1	75
1	0	1	0	0	0	0
2157	233971	66	1009	63	0	54
1978	149649	55	658	138	3	62
2224	161703	52	547	270	9	46
2215	254893	70	826	64	0	83
2538	269492	73	838	96	2	106
1881	169526	62	704	62	0	51
1113	107893	35	404	35	2	27
2380	229714	83	848	66	1	78
1365	139667	51	419	56	2	71
1294	175983	102	349	46	2	44
756	81407	33	216	49	1	23
2465	251259	110	796	121	0	78
2327	239807	90	752	113	1	60
2787	172743	60	964	190	8	73
658	48188	28	205	37	0	12
2013	169355	71	506	52	0	104
2666	335398	78	841	89	0	95
2086	244729	81	699	73	0	57
2067	208286	62	746	61	1	68
1776	159913	58	547	77	8	44
2045	232137	72	561	63	0	62
1047	101694	26	329	75	1	26
1190	157258	68	427	32	0	67
2932	211586	101	993	59	10	36
1868	181076	66	564	71	6	56
2316	158024	86	858	92	0	55
1392	141491	64	376	87	11	54
1355	130108	40	471	48	3	61
1326	166420	39	432	63	0	27
1587	135509	45	500	41	0	64
2336	195043	72	504	86	8	76
2898	138708	66	887	152	2	93
1118	116552	40	271	49	0	59
340	31970	15	101	40	0	5
3224	291993	121	1203	148	3	62
1552	167825	82	506	86	1	47
1551	135926	69	528	62	2	88
1794	136647	77	501	96	1	57
2728	171518	71	698	95	0	81
1580	108980	46	426	83	2	35
2414	183471	61	709	112	1	102
2640	167426	101	847	77	0	73
1203	112510	49	367	78	0	32
1313	92421	77	413	114	0	34
1207	117169	84	272	55	0	80
2246	304603	65	830	60	0	49
1076	75101	30	334	49	1	30
1638	145043	41	524	132	0	57
1208	95827	48	393	49	0	54
1868	173931	60	574	71	0	38
2829	250424	252	695	102	0	63
1209	115367	116	284	74	0	58
1463	125839	66	462	49	7	49
1610	164078	54	653	74	0	46
1865	158931	42	684	59	5	51
2444	190382	85	714	91	1	90
1253	155226	59	420	68	0	45
1468	146159	61	551	81	0	28
979	62641	44	396	33	0	26
2365	258585	121	741	166	0	54
1890	199841	71	571	97	0	96
223	19349	12	67	15	0	13
2527	247280	109	877	105	3	43
2186	173152	88	885	61	0	46
778	72128	30	306	11	0	30
1194	104253	26	382	45	0	59
1424	151090	57	435	89	0	73
1386	147990	68	348	72	1	40
839	87448	42	227	27	1	36
596	27676	22	194	59	0	2
1684	170326	52	413	127	0	103
1168	132148	38	273	48	1	30
0	0	0	0	0	0	0
1315	133868	36	390	58	0	78
1149	109001	68	376	57	0	25
1485	158833	46	495	60	0	59
1529	150013	66	448	77	1	60
962	89887	63	313	71	0	36
78	3616	5	14	5	0	0
0	0	0	0	0	0	0
1295	216479	48	445	78	0	51
1751	177323	102	637	76	0	79
2142	177948	102	593	124	2	30
1070	140106	41	326	67	0	43
778	43410	19	292	63	0	7
1986	206059	76	573	92	1	92
1084	109873	45	315	58	0	32
2400	157084	61	683	65	10	84
731	60493	40	174	29	3	3
285	19764	12	75	19	1	10
1873	177559	57	572	64	3	47
1269	154169	36	414	79	0	44
1725	164249	54	562	104	0	54
256	11796	9	79	22	0	1
98	10674	9	33	7	0	0
1435	151322	59	487	37	0	46
41	6836	3	11	5	0	0
1931	174712	68	664	48	6	51
42	5118	3	6	1	0	5
528	40248	16	183	34	1	8
0	0	0	0	0	0	0
1122	127628	51	342	53	0	38
1305	88837	38	269	44	0	21
81	7131	4	27	0	1	0
262	9056	15	99	18	0	0
1165	97191	31	322	52	1	26
1405	157478	59	367	60	0	53
1409	125583	23	521	50	1	31




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'AstonUniversity' @ aston.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 & 3 seconds \tabularnewline
R Server & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=160608&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=160608&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=160608&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'AstonUniversity' @ aston.wessa.net







10-Fold Cross Validation
Prediction (training)Prediction (testing)
ActualC1C2CVC1C2CV
C1608460.92976240.9394
C2176340.97395640.9275
Overall--0.9517--0.9333

\begin{tabular}{lllllllll}
\hline
10-Fold Cross Validation \tabularnewline
 & Prediction (training) & Prediction (testing) \tabularnewline
Actual & C1 & C2 & CV & C1 & C2 & CV \tabularnewline
C1 & 608 & 46 & 0.9297 & 62 & 4 & 0.9394 \tabularnewline
C2 & 17 & 634 & 0.9739 & 5 & 64 & 0.9275 \tabularnewline
Overall & - & - & 0.9517 & - & - & 0.9333 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=160608&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]608[/C][C]46[/C][C]0.9297[/C][C]62[/C][C]4[/C][C]0.9394[/C][/ROW]
[ROW][C]C2[/C][C]17[/C][C]634[/C][C]0.9739[/C][C]5[/C][C]64[/C][C]0.9275[/C][/ROW]
[ROW][C]Overall[/C][C]-[/C][C]-[/C][C]0.9517[/C][C]-[/C][C]-[/C][C]0.9333[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=160608&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=160608&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
C1608460.92976240.9394
C2176340.97395640.9275
Overall--0.9517--0.9333







Confusion Matrix (predicted in columns / actuals in rows)
C1C2
C1675
C2270

\begin{tabular}{lllllllll}
\hline
Confusion Matrix (predicted in columns / actuals in rows) \tabularnewline
 & C1 & C2 \tabularnewline
C1 & 67 & 5 \tabularnewline
C2 & 2 & 70 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=160608&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]67[/C][C]5[/C][/ROW]
[ROW][C]C2[/C][C]2[/C][C]70[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=160608&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=160608&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
C1675
C2270



Parameters (Session):
par1 = 1 ; par2 = quantiles ; par3 = 2 ; par4 = yes ;
Parameters (R input):
par1 = 1 ; par2 = quantiles ; 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')
}