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*The author of this computation has been verified*
R Software Module: /rwasp_regression_trees1.wasp (opens new window with default values)
Title produced by software: Recursive Partitioning (Regression Trees)
Date of computation: Sun, 19 Dec 2010 14:33:57 +0000
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Dec/19/t1292769110275oy4jboxuusnt.htm/, Retrieved Sun, 19 Dec 2010 15:31:51 +0100
 
BibTeX entries for LaTeX users:
@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2010/Dec/19/t1292769110275oy4jboxuusnt.htm/},
    year = {2010},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2010},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}
 
Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
1 1 41 38 13 12 14 1 1 39 32 16 11 18 1 1 30 35 19 15 11 1 0 31 33 15 6 12 1 1 34 37 14 13 16 1 1 35 29 13 10 18 1 1 39 31 19 12 14 1 1 34 36 15 14 14 1 1 36 35 14 12 15 1 1 37 38 15 9 15 1 0 38 31 16 10 17 1 1 36 34 16 12 19 1 0 38 35 16 12 10 1 1 39 38 16 11 16 1 1 33 37 17 15 18 1 0 32 33 15 12 14 1 0 36 32 15 10 14 1 1 38 38 20 12 17 1 0 39 38 18 11 14 1 1 32 32 16 12 16 1 0 32 33 16 11 18 1 1 31 31 16 12 11 1 1 39 38 19 13 14 1 1 37 39 16 11 12 1 0 39 32 17 12 17 1 1 41 32 17 13 9 1 0 36 35 16 10 16 1 1 33 37 15 14 14 1 1 33 33 16 12 15 1 0 34 33 14 10 11 1 1 31 31 15 12 16 1 0 27 32 12 8 13 1 1 37 31 14 10 17 1 1 34 37 16 12 15 1 0 34 30 14 12 14 1 0 32 33 10 7 16 1 0 29 31 10 9 9 1 0 36 33 14 12 15 1 1 29 31 16 10 17 1 0 35 33 16 10 13 1 0 37 32 16 10 15 1 1 34 33 14 12 16 1 0 38 32 20 15 16 1 0 35 33 14 10 12 1 1 38 28 14 10 15 1 1 37 35 11 12 11 1 1 38 39 14 13 15 1 1 33 34 15 11 15 1 1 36 38 16 11 17 1 0 38 32 14 12 13 1 1 32 38 16 14 16 1 0 32 30 1 etc...
 
Output produced by software:

Enter (or paste) a matrix (table) containing all data (time) series. Every column represents a different variable and must be delimited by a space or Tab. Every row represents a period in time (or category) and must be delimited by hard returns. The easiest way to enter data is to copy and paste a block of spreadsheet cells. Please, do not use commas or spaces to seperate groups of digits!


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time7 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk


Goodness of Fit
Correlation0.6903
R-squared0.4765
RMSE1.8931


Actuals, Predictions, and Residuals
#ActualsForecastsResiduals
11315.0631578947368-2.06315789473684
21615.06315789473680.936842105263159
31918.1250.875
41511.68181818181823.31818181818182
51416.25-2.25
61315.0631578947368-2.06315789473684
71915.06315789473683.93684210526316
81516.25-1.25
91415.0631578947368-1.06315789473684
101512.94736842105262.05263157894737
111615.06315789473680.936842105263159
121615.06315789473680.936842105263159
131615.06315789473680.936842105263159
141615.06315789473680.936842105263159
151718.125-1.125
161515.0631578947368-0.0631578947368414
171515.0631578947368-0.0631578947368414
182015.06315789473684.93684210526316
191815.06315789473682.93684210526316
201615.06315789473680.936842105263159
211615.06315789473680.936842105263159
221615.06315789473680.936842105263159
231916.252.75
241615.06315789473680.936842105263159
251715.06315789473681.93684210526316
261716.250.75
271615.06315789473680.936842105263159
281516.25-1.25
291615.06315789473680.936842105263159
301415.0631578947368-1.06315789473684
311515.0631578947368-0.0631578947368414
321212.9473684210526-0.947368421052632
331415.0631578947368-1.06315789473684
341615.06315789473680.936842105263159
351415.0631578947368-1.06315789473684
361011.6818181818182-1.68181818181818
371012.9473684210526-2.94736842105263
381415.0631578947368-1.06315789473684
391615.06315789473680.936842105263159
401615.06315789473680.936842105263159
411615.06315789473680.936842105263159
421415.0631578947368-1.06315789473684
432018.1251.875
441415.0631578947368-1.06315789473684
451415.0631578947368-1.06315789473684
461115.0631578947368-4.06315789473684
471416.25-2.25
481515.0631578947368-0.0631578947368414
491615.06315789473680.936842105263159
501415.0631578947368-1.06315789473684
511616.25-0.25
521415.0631578947368-1.06315789473684
531215.0631578947368-3.06315789473684
541616.25-0.25
55911.6818181818182-2.68181818181818
561411.68181818181822.31818181818182
571615.06315789473680.936842105263159
581615.06315789473680.936842105263159
591515.0631578947368-0.0631578947368414
601615.06315789473680.936842105263159
61128.416666666666673.58333333333333
621615.06315789473680.936842105263159
631616.25-0.25
641415.0631578947368-1.06315789473684
651615.06315789473680.936842105263159
661716.250.75
671816.251.75
681815.06315789473682.93684210526316
691215.0631578947368-3.06315789473684
701615.06315789473680.936842105263159
711012.9473684210526-2.94736842105263
721415.0631578947368-1.06315789473684
731816.251.75
741816.251.75
751615.06315789473680.936842105263159
761712.94736842105264.05263157894737
771616.25-0.25
781615.06315789473680.936842105263159
791315.0631578947368-2.06315789473684
801615.06315789473680.936842105263159
811615.06315789473680.936842105263159
821615.06315789473680.936842105263159
831515.0631578947368-0.0631578947368414
841515.0631578947368-0.0631578947368414
851615.06315789473680.936842105263159
861412.94736842105261.05263157894737
871615.06315789473680.936842105263159
881615.06315789473680.936842105263159
891515.0631578947368-0.0631578947368414
901212.9473684210526-0.947368421052632
911718.125-1.125
921615.06315789473680.936842105263159
931515.0631578947368-0.0631578947368414
941315.0631578947368-2.06315789473684
951615.06315789473680.936842105263159
961616.25-0.25
971612.94736842105263.05263157894737
981615.06315789473680.936842105263159
991415.0631578947368-1.06315789473684
1001616.25-0.25
1011615.06315789473680.936842105263159
1022018.1251.875
1031515.0631578947368-0.0631578947368414
1041615.06315789473680.936842105263159
1051315.0631578947368-2.06315789473684
1061715.06315789473681.93684210526316
1071615.06315789473680.936842105263159
1081615.06315789473680.936842105263159
1091211.68181818181820.318181818181818
1101615.06315789473680.936842105263159
1111616.25-0.25
1121715.06315789473681.93684210526316
1131215.0631578947368-3.06315789473684
1141816.251.75
1151416.25-2.25
1161412.94736842105261.05263157894737
1171315.0631578947368-2.06315789473684
1181615.06315789473680.936842105263159
1191315.0631578947368-2.06315789473684
1201616.25-0.25
1211315.0631578947368-2.06315789473684
1221616.25-0.25
1231516.25-1.25
1241618.125-2.125
1251515.0631578947368-0.0631578947368414
1261715.06315789473681.93684210526316
1271512.94736842105262.05263157894737
1281215.0631578947368-3.06315789473684
1291615.06315789473680.936842105263159
1301015.0631578947368-5.06315789473684
1311612.94736842105263.05263157894737
1321215.0631578947368-3.06315789473684
1331415.0631578947368-1.06315789473684
1341515.0631578947368-0.0631578947368414
1351312.94736842105260.0526315789473681
1361515.0631578947368-0.0631578947368414
1371115.0631578947368-4.06315789473684
1381212.9473684210526-0.947368421052632
1391112.9473684210526-1.94736842105263
1401612.94736842105263.05263157894737
1411512.94736842105262.05263157894737
1421718.125-1.125
1431615.06315789473680.936842105263159
1441012.9473684210526-2.94736842105263
1451816.251.75
1461315.0631578947368-2.06315789473684
1471615.06315789473680.936842105263159
1481312.94736842105260.0526315789473681
1491011.6818181818182-1.68181818181818
1501516.25-1.25
1511612.94736842105263.05263157894737
1521611.68181818181824.31818181818182
1531412.94736842105261.05263157894737
1541012.9473684210526-2.94736842105263
1551311.68181818181821.31818181818182
1561512.94736842105262.05263157894737
1571615.06315789473680.936842105263159
1581212.9473684210526-0.947368421052632
1591314.1818181818182-1.18181818181818
1601212.9473684210526-0.947368421052632
1611716.250.75
1621514.18181818181820.818181818181818
1631012.9473684210526-2.94736842105263
1641414.1818181818182-0.181818181818182
1651114.1818181818182-3.18181818181818
1661314.1818181818182-1.18181818181818
1671614.18181818181821.81818181818182
1681211.68181818181820.318181818181818
1691614.18181818181821.81818181818182
1701214.1818181818182-2.18181818181818
17198.416666666666670.583333333333334
1721214.1818181818182-2.18181818181818
1731514.18181818181820.818181818181818
1741212.9473684210526-0.947368421052632
1751212.9473684210526-0.947368421052632
1761414.1818181818182-0.181818181818182
1771212.9473684210526-0.947368421052632
1781614.18181818181821.81818181818182
179118.416666666666672.58333333333333
1801918.1250.875
1811514.18181818181820.818181818181818
182814.1818181818182-6.18181818181818
1831614.18181818181821.81818181818182
1841714.18181818181822.81818181818182
1851211.68181818181820.318181818181818
186118.416666666666672.58333333333333
1871111.6818181818182-0.681818181818182
1881414.1818181818182-0.181818181818182
1891614.18181818181821.81818181818182
1901211.68181818181820.318181818181818
1911614.18181818181821.81818181818182
1921314.1818181818182-1.18181818181818
1931514.18181818181820.818181818181818
1941612.94736842105263.05263157894737
1951614.18181818181821.81818181818182
1961412.94736842105261.05263157894737
1971614.18181818181821.81818181818182
1981414.1818181818182-0.181818181818182
1991112.9473684210526-1.94736842105263
2001214.1818181818182-2.18181818181818
2011512.94736842105262.05263157894737
2021514.18181818181820.818181818181818
2031614.18181818181821.81818181818182
2041614.18181818181821.81818181818182
2051114.1818181818182-3.18181818181818
2061514.18181818181820.818181818181818
2071214.1818181818182-2.18181818181818
2081214.1818181818182-2.18181818181818
2091514.18181818181820.818181818181818
2101512.94736842105262.05263157894737
2111614.18181818181821.81818181818182
2121414.1818181818182-0.181818181818182
2131714.18181818181822.81818181818182
2141414.1818181818182-0.181818181818182
2151312.94736842105260.0526315789473681
2161514.18181818181820.818181818181818
2171314.1818181818182-1.18181818181818
2181414.1818181818182-0.181818181818182
2191514.18181818181820.818181818181818
2201212.9473684210526-0.947368421052632
221811.6818181818182-3.68181818181818
2221414.1818181818182-0.181818181818182
2231412.94736842105261.05263157894737
2241112.9473684210526-1.94736842105263
2251212.9473684210526-0.947368421052632
226138.416666666666674.58333333333333
2271014.1818181818182-4.18181818181818
2281611.68181818181824.31818181818182
2291816.251.75
2301314.1818181818182-1.18181818181818
2311114.1818181818182-3.18181818181818
23248.41666666666667-4.41666666666667
2331314.1818181818182-1.18181818181818
2341614.18181818181821.81818181818182
235108.416666666666671.58333333333333
2361212.9473684210526-0.947368421052632
2371214.1818181818182-2.18181818181818
238108.416666666666671.58333333333333
2391311.68181818181821.31818181818182
2401212.9473684210526-0.947368421052632
2411412.94736842105261.05263157894737
2421012.9473684210526-2.94736842105263
2431212.9473684210526-0.947368421052632
2441212.9473684210526-0.947368421052632
2451111.6818181818182-0.681818181818182
2461011.6818181818182-1.68181818181818
2471211.68181818181820.318181818181818
2481612.94736842105263.05263157894737
2491214.1818181818182-2.18181818181818
2501414.1818181818182-0.181818181818182
2511614.18181818181821.81818181818182
2521412.94736842105261.05263157894737
2531314.1818181818182-1.18181818181818
25448.41666666666667-4.41666666666667
2551514.18181818181820.818181818181818
2561114.1818181818182-3.18181818181818
2571111.6818181818182-0.681818181818182
2581412.94736842105261.05263157894737
2591514.18181818181820.818181818181818
2601412.94736842105261.05263157894737
2611314.1818181818182-1.18181818181818
2621112.9473684210526-1.94736842105263
2631514.18181818181820.818181818181818
2641112.9473684210526-1.94736842105263
2651311.68181818181821.31818181818182
2661312.94736842105260.0526315789473681
2671614.18181818181821.81818181818182
2681312.94736842105260.0526315789473681
2691614.18181818181821.81818181818182
2701616.25-0.25
2711211.68181818181820.318181818181818
27278.41666666666667-1.41666666666667
2731614.18181818181821.81818181818182
274511.6818181818182-6.68181818181818
2751612.94736842105263.05263157894737
27648.41666666666667-4.41666666666667
2771212.9473684210526-0.947368421052632
2781514.18181818181820.818181818181818
2791414.1818181818182-0.181818181818182
2801112.9473684210526-1.94736842105263
2811614.18181818181821.81818181818182
2821514.18181818181820.818181818181818
2831212.9473684210526-0.947368421052632
28468.41666666666667-2.41666666666667
2851614.18181818181821.81818181818182
2861012.9473684210526-2.94736842105263
2871516.25-1.25
2881414.1818181818182-0.181818181818182
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Dec/19/t1292769110275oy4jboxuusnt/2bpk01292769227.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/19/t1292769110275oy4jboxuusnt/2bpk01292769227.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/19/t1292769110275oy4jboxuusnt/3bpk01292769227.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/19/t1292769110275oy4jboxuusnt/3bpk01292769227.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/19/t1292769110275oy4jboxuusnt/44z2m1292769227.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/19/t1292769110275oy4jboxuusnt/44z2m1292769227.ps (open in new window)


 
Parameters (Session):
par1 = 5 ; par2 = none ; par3 = 3 ; par4 = no ;
 
Parameters (R input):
par1 = 5 ; 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')
}
 





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