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w7

*The author of this computation has been verified*
R Software Module: /rwasp_multipleregression.wasp (opens new window with default values)
Title produced by software: Multiple Regression
Date of computation: Sun, 22 Nov 2009 06:32:33 -0700
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2009/Nov/22/t12588968384s5p2uwca14kqi4.htm/, Retrieved Sun, 22 Nov 2009 14:34:10 +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/2009/Nov/22/t12588968384s5p2uwca14kqi4.htm/},
    year = {2009},
}
@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 = {2009},
    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 «
8 0 8,1 0 7,7 0 7,5 0 7,6 0 7,8 0 7,8 0 7,8 0 7,5 0 7,5 0 7,1 0 7,5 0 7,5 0 7,6 0 7,7 0 7,7 0 7,9 0 8,1 0 8,2 0 8,2 0 8,2 0 7,9 0 7,3 0 6,9 0 6,6 0 6,7 0 6,9 0 7 0 7,1 0 7,2 0 7,1 0 6,9 0 7 0 6,8 0 6,4 0 6,7 0 6,6 0 6,4 0 6,3 0 6,2 0 6,5 0 6,8 1 6,8 1 6,4 1 6,1 1 5,8 1 6,1 1 7,2 1 7,3 1 6,9 1 6,1 1 5,8 1 6,2 1 7,1 1 7,7 1 7,9 1 7,7 1 7,4 1 7,5 1 8 1 8,1 1
 
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 time4 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


Multiple Linear Regression - Estimated Regression Equation
Y[t] = + 7.98971428571429 + 0.291428571428571X[t] -0.0081111111111108M1[t] -0.296793650793651M2[t] -0.473285714285714M3[t] -0.549777777777779M4[t] -0.306269841269842M5[t] -0.00104761904761940M6[t] + 0.142460317460317M7[t] + 0.0859682539682537M8[t] -0.0305238095238098M9[t] -0.227015873015873M10[t] -0.403507936507937M11[t] -0.0235079365079365t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)7.989714285714290.33745623.676300
X0.2914285714285710.292590.9960.3243350.162168
M1-0.00811111111111080.372191-0.02180.9827050.491353
M2-0.2967936507936510.390476-0.76010.4510020.225501
M3-0.4732857142857140.389954-1.21370.2309280.115464
M4-0.5497777777777790.389587-1.41120.1647770.082388
M5-0.3062698412698420.389374-0.78660.4354810.217741
M6-0.001047619047619400.390607-0.00270.9978710.498936
M70.1424603174603170.3897570.36550.716370.358185
M80.08596825396825370.389060.2210.8260770.413039
M9-0.03052380952380980.388517-0.07860.9377120.468856
M10-0.2270158730158730.388129-0.58490.5614140.280707
M11-0.4035079365079370.387895-1.04020.3035460.151773
t-0.02350793650793650.007766-3.02720.0039980.001999


Multiple Linear Regression - Regression Statistics
Multiple R0.574299977559274
R-squared0.329820464224582
Adjusted R-squared0.144451656456913
F-TEST (value)1.77926625410442
F-TEST (DF numerator)13
F-TEST (DF denominator)47
p-value0.0752311735750701
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.613193676007708
Sum Squared Residuals17.6723047619048


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
187.958095238095230.0419047619047665
28.17.645904761904760.454095238095238
37.77.445904761904760.254095238095238
47.57.345904761904760.154095238095236
57.67.565904761904760.0340952380952374
67.87.84761904761905-0.0476190476190475
77.87.96761904761905-0.167619047619048
87.87.88761904761905-0.0876190476190477
97.57.74761904761905-0.247619047619048
107.57.52761904761905-0.0276190476190476
117.17.32761904761905-0.227619047619048
127.57.70761904761905-0.207619047619048
137.57.676-0.176000000000001
147.67.363809523809520.236190476190475
157.77.163809523809520.536190476190476
167.77.063809523809520.636190476190477
177.97.283809523809520.616190476190477
188.17.565523809523810.53447619047619
198.27.685523809523810.51447619047619
208.27.605523809523810.59447619047619
218.27.465523809523810.73447619047619
227.97.245523809523810.65447619047619
237.37.045523809523810.254476190476191
246.97.42552380952381-0.525523809523809
256.67.39390476190476-0.793904761904763
266.77.08171428571428-0.381714285714285
276.96.881714285714290.0182857142857146
2876.781714285714290.218285714285715
297.17.001714285714290.098285714285714
307.27.28342857142857-0.0834285714285712
317.17.40342857142857-0.303428571428571
326.97.32342857142857-0.423428571428571
3377.18342857142857-0.183428571428571
346.86.96342857142857-0.163428571428572
356.46.76342857142857-0.363428571428571
366.77.14342857142857-0.443428571428571
376.67.11180952380952-0.511809523809525
386.46.79961904761905-0.399619047619047
396.36.59961904761905-0.299619047619048
406.26.49961904761905-0.299619047619047
416.56.71961904761905-0.219619047619047
426.87.2927619047619-0.492761904761905
436.87.4127619047619-0.612761904761905
446.47.3327619047619-0.932761904761905
456.17.1927619047619-1.09276190476191
465.86.9727619047619-1.17276190476190
476.16.7727619047619-0.672761904761905
487.27.15276190476190.0472380952380952
497.37.121142857142860.178857142857142
506.96.808952380952380.0910476190476197
516.16.60895238095238-0.508952380952381
525.86.50895238095238-0.70895238095238
536.26.72895238095238-0.528952380952381
547.17.010666666666670.089333333333333
557.77.130666666666670.569333333333334
567.97.050666666666670.849333333333334
577.76.910666666666670.789333333333334
587.46.690666666666670.709333333333333
597.56.490666666666671.00933333333333
6086.870666666666671.12933333333333
618.16.839047619047621.26095238095238


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
170.1065145927590500.2130291855181000.89348540724095
180.05868524183803610.1173704836760720.941314758161964
190.0364721853698940.0729443707397880.963527814630106
200.02335178141890550.04670356283781100.976648218581095
210.03148274509660720.06296549019321440.968517254903393
220.02939892294160130.05879784588320250.970601077058399
230.02043550453379130.04087100906758250.979564495466209
240.0304188155461250.060837631092250.969581184453875
250.1382406174595180.2764812349190370.861759382540482
260.2058878290117370.4117756580234740.794112170988263
270.2497130563109820.4994261126219630.750286943689018
280.4371044050328810.8742088100657620.562895594967119
290.7785812486281030.4428375027437940.221418751371897
300.7855970734911650.4288058530176710.214402926508835
310.7470727527637120.5058544944725770.252927247236288
320.7188392333496040.5623215333007920.281160766650396
330.7222168058776350.555566388244730.277783194122365
340.8065714523612370.3868570952775260.193428547638763
350.7516997841285160.4966004317429680.248300215871484
360.6795533722342160.6408932555315690.320446627765784
370.6916188445726220.6167623108547560.308381155427378
380.7509718293399540.4980563413200920.249028170660046
390.6641568900047780.6716862199904450.335843109995222
400.5617484204197320.8765031591605370.438251579580268
410.4350461719949130.8700923439898260.564953828005087
420.6477288195793580.7045423608412840.352271180420642
430.5710817895891140.8578364208217730.428918210410886
440.438334543043320.876669086086640.56166545695668


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level20.0714285714285714NOK
10% type I error level60.214285714285714NOK
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Nov/22/t12588968384s5p2uwca14kqi4/10fm2u1258896748.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/22/t12588968384s5p2uwca14kqi4/10fm2u1258896748.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/22/t12588968384s5p2uwca14kqi4/1l0e21258896748.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/22/t12588968384s5p2uwca14kqi4/1l0e21258896748.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/22/t12588968384s5p2uwca14kqi4/2ehz61258896748.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/22/t12588968384s5p2uwca14kqi4/2ehz61258896748.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/22/t12588968384s5p2uwca14kqi4/3za601258896748.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/22/t12588968384s5p2uwca14kqi4/3za601258896748.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/22/t12588968384s5p2uwca14kqi4/4m7w51258896748.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/22/t12588968384s5p2uwca14kqi4/4m7w51258896748.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/22/t12588968384s5p2uwca14kqi4/5r2yv1258896748.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/22/t12588968384s5p2uwca14kqi4/5r2yv1258896748.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/22/t12588968384s5p2uwca14kqi4/68z5g1258896748.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/22/t12588968384s5p2uwca14kqi4/68z5g1258896748.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/22/t12588968384s5p2uwca14kqi4/71ku81258896748.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/22/t12588968384s5p2uwca14kqi4/71ku81258896748.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/22/t12588968384s5p2uwca14kqi4/8iqiz1258896748.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/22/t12588968384s5p2uwca14kqi4/8iqiz1258896748.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/22/t12588968384s5p2uwca14kqi4/9o3w31258896748.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/22/t12588968384s5p2uwca14kqi4/9o3w31258896748.ps (open in new window)


 
Parameters (Session):
par1 = 1 ; par2 = Include Monthly Dummies ; par3 = Linear Trend ;
 
Parameters (R input):
par1 = 1 ; par2 = Include Monthly Dummies ; par3 = Linear Trend ;
 
R code (references can be found in the software module):
library(lattice)
library(lmtest)
n25 <- 25 #minimum number of obs. for Goldfeld-Quandt test
par1 <- as.numeric(par1)
x <- t(y)
k <- length(x[1,])
n <- length(x[,1])
x1 <- cbind(x[,par1], x[,1:k!=par1])
mycolnames <- c(colnames(x)[par1], colnames(x)[1:k!=par1])
colnames(x1) <- mycolnames #colnames(x)[par1]
x <- x1
if (par3 == 'First Differences'){
x2 <- array(0, dim=c(n-1,k), dimnames=list(1:(n-1), paste('(1-B)',colnames(x),sep='')))
for (i in 1:n-1) {
for (j in 1:k) {
x2[i,j] <- x[i+1,j] - x[i,j]
}
}
x <- x2
}
if (par2 == 'Include Monthly Dummies'){
x2 <- array(0, dim=c(n,11), dimnames=list(1:n, paste('M', seq(1:11), sep ='')))
for (i in 1:11){
x2[seq(i,n,12),i] <- 1
}
x <- cbind(x, x2)
}
if (par2 == 'Include Quarterly Dummies'){
x2 <- array(0, dim=c(n,3), dimnames=list(1:n, paste('Q', seq(1:3), sep ='')))
for (i in 1:3){
x2[seq(i,n,4),i] <- 1
}
x <- cbind(x, x2)
}
k <- length(x[1,])
if (par3 == 'Linear Trend'){
x <- cbind(x, c(1:n))
colnames(x)[k+1] <- 't'
}
x
k <- length(x[1,])
df <- as.data.frame(x)
(mylm <- lm(df))
(mysum <- summary(mylm))
if (n > n25) {
kp3 <- k + 3
nmkm3 <- n - k - 3
gqarr <- array(NA, dim=c(nmkm3-kp3+1,3))
numgqtests <- 0
numsignificant1 <- 0
numsignificant5 <- 0
numsignificant10 <- 0
for (mypoint in kp3:nmkm3) {
j <- 0
numgqtests <- numgqtests + 1
for (myalt in c('greater', 'two.sided', 'less')) {
j <- j + 1
gqarr[mypoint-kp3+1,j] <- gqtest(mylm, point=mypoint, alternative=myalt)$p.value
}
if (gqarr[mypoint-kp3+1,2] < 0.01) numsignificant1 <- numsignificant1 + 1
if (gqarr[mypoint-kp3+1,2] < 0.05) numsignificant5 <- numsignificant5 + 1
if (gqarr[mypoint-kp3+1,2] < 0.10) numsignificant10 <- numsignificant10 + 1
}
gqarr
}
bitmap(file='test0.png')
plot(x[,1], type='l', main='Actuals and Interpolation', ylab='value of Actuals and Interpolation (dots)', xlab='time or index')
points(x[,1]-mysum$resid)
grid()
dev.off()
bitmap(file='test1.png')
plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index')
grid()
dev.off()
bitmap(file='test2.png')
hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals')
grid()
dev.off()
bitmap(file='test3.png')
densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals')
dev.off()
bitmap(file='test4.png')
qqnorm(mysum$resid, main='Residual Normal Q-Q Plot')
qqline(mysum$resid)
grid()
dev.off()
(myerror <- as.ts(mysum$resid))
bitmap(file='test5.png')
dum <- cbind(lag(myerror,k=1),myerror)
dum
dum1 <- dum[2:length(myerror),]
dum1
z <- as.data.frame(dum1)
z
plot(z,main=paste('Residual Lag plot, lowess, and regression line'), ylab='values of Residuals', xlab='lagged values of Residuals')
lines(lowess(z))
abline(lm(z))
grid()
dev.off()
bitmap(file='test6.png')
acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function')
grid()
dev.off()
bitmap(file='test7.png')
pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function')
grid()
dev.off()
bitmap(file='test8.png')
opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0))
plot(mylm, las = 1, sub='Residual Diagnostics')
par(opar)
dev.off()
if (n > n25) {
bitmap(file='test9.png')
plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint')
grid()
dev.off()
}
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE)
a<-table.row.end(a)
myeq <- colnames(x)[1]
myeq <- paste(myeq, '[t] = ', sep='')
for (i in 1:k){
if (mysum$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '')
myeq <- paste(myeq, mysum$coefficients[i,1], sep=' ')
if (rownames(mysum$coefficients)[i] != '(Intercept)') {
myeq <- paste(myeq, rownames(mysum$coefficients)[i], sep='')
if (rownames(mysum$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='')
}
}
myeq <- paste(myeq, ' + e[t]')
a<-table.row.start(a)
a<-table.element(a, myeq)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Variable',header=TRUE)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,'T-STAT<br />H0: parameter = 0',header=TRUE)
a<-table.element(a,'2-tail p-value',header=TRUE)
a<-table.element(a,'1-tail p-value',header=TRUE)
a<-table.row.end(a)
for (i in 1:k){
a<-table.row.start(a)
a<-table.element(a,rownames(mysum$coefficients)[i],header=TRUE)
a<-table.element(a,mysum$coefficients[i,1])
a<-table.element(a, round(mysum$coefficients[i,2],6))
a<-table.element(a, round(mysum$coefficients[i,3],4))
a<-table.element(a, round(mysum$coefficients[i,4],6))
a<-table.element(a, round(mysum$coefficients[i,4]/2,6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Multiple R',1,TRUE)
a<-table.element(a, sqrt(mysum$r.squared))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'R-squared',1,TRUE)
a<-table.element(a, mysum$r.squared)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Adjusted R-squared',1,TRUE)
a<-table.element(a, mysum$adj.r.squared)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (value)',1,TRUE)
a<-table.element(a, mysum$fstatistic[1])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE)
a<-table.element(a, mysum$fstatistic[2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (DF denominator)',1,TRUE)
a<-table.element(a, mysum$fstatistic[3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'p-value',1,TRUE)
a<-table.element(a, 1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3]))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Residual Statistics', 2, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Residual Standard Deviation',1,TRUE)
a<-table.element(a, mysum$sigma)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Sum Squared Residuals',1,TRUE)
a<-table.element(a, sum(myerror*myerror))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable3.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Time or Index', 1, TRUE)
a<-table.element(a, 'Actuals', 1, TRUE)
a<-table.element(a, 'Interpolation<br />Forecast', 1, TRUE)
a<-table.element(a, 'Residuals<br />Prediction Error', 1, TRUE)
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,i, 1, TRUE)
a<-table.element(a,x[i])
a<-table.element(a,x[i]-mysum$resid[i])
a<-table.element(a,mysum$resid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable4.tab')
if (n > n25) {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Goldfeld-Quandt test for Heteroskedasticity',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-values',header=TRUE)
a<-table.element(a,'Alternative Hypothesis',3,header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'breakpoint index',header=TRUE)
a<-table.element(a,'greater',header=TRUE)
a<-table.element(a,'2-sided',header=TRUE)
a<-table.element(a,'less',header=TRUE)
a<-table.row.end(a)
for (mypoint in kp3:nmkm3) {
a<-table.row.start(a)
a<-table.element(a,mypoint,header=TRUE)
a<-table.element(a,gqarr[mypoint-kp3+1,1])
a<-table.element(a,gqarr[mypoint-kp3+1,2])
a<-table.element(a,gqarr[mypoint-kp3+1,3])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable5.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Description',header=TRUE)
a<-table.element(a,'# significant tests',header=TRUE)
a<-table.element(a,'% significant tests',header=TRUE)
a<-table.element(a,'OK/NOK',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'1% type I error level',header=TRUE)
a<-table.element(a,numsignificant1)
a<-table.element(a,numsignificant1/numgqtests)
if (numsignificant1/numgqtests < 0.01) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'5% type I error level',header=TRUE)
a<-table.element(a,numsignificant5)
a<-table.element(a,numsignificant5/numgqtests)
if (numsignificant5/numgqtests < 0.05) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'10% type I error level',header=TRUE)
a<-table.element(a,numsignificant10)
a<-table.element(a,numsignificant10/numgqtests)
if (numsignificant10/numgqtests < 0.1) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable6.tab')
}
 





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Software written by Ed van Stee & Patrick Wessa


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