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Seatbelt Law Model 1

*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: Mon, 14 Dec 2009 10:23:39 -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/Dec/14/t126081152952tuian1fkwrnad.htm/, Retrieved Mon, 14 Dec 2009 18:25:42 +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/Dec/14/t126081152952tuian1fkwrnad.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 «
8,9 -3 8,8 -1 8,3 -3 7,5 -4 7,2 -6 7,4 0 8,8 -4 9,3 -2 9,3 -2 8,7 -6 8,2 -7 8,3 -6 8,5 -6 8,6 -3 8,5 -2 8,2 -5 8,1 -11 7,9 -11 8,6 -11 8,7 -10 8,7 -14 8,5 -8 8,4 -9 8,5 -5 8,7 -1 8,7 -2 8,6 -5 8,5 -4 8,3 -6 8 -2 8,2 -2 8,1 -2 8,1 -2 8 2 7,9 1 7,9 -8 8 -1 8 1 7,9 -1 8 2 7,7 2 7,2 1 7,5 -1 7,3 -2 7 -2 7 -1 7 -8 7,2 -4 7,3 -6 7,1 -3 6,8 -3 6,4 -7 6,1 -9 6,5 -11 7,7 -13 7,9 -11 7,5 -9 6,9 -17 6,6 -22 6,9 -25
 
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 time6 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


Multiple Linear Regression - Estimated Regression Equation
TW[t] = + 8.1012229396126 + 0.0364793011773642CV[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)8.10122293961260.1309661.860200
CV0.03647930117736420.0172412.11590.0386570.019329


Multiple Linear Regression - Regression Statistics
Multiple R0.267691926597655
R-squared0.0716589675655644
Adjusted R-squared0.0556530876960053
F-TEST (value)4.47704019707464
F-TEST (DF numerator)1
F-TEST (DF denominator)58
p-value0.0386571938482783
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.722321951349474
Sum Squared Residuals30.2614420812761


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
18.97.991785036080540.90821496391946
28.88.064743638435240.735256361564756
38.37.991785036080520.308214963919485
47.57.95530573490315-0.455305734903152
57.27.88234713254842-0.682347132548423
67.48.1012229396126-0.701222939612608
78.87.955305734903150.844694265096849
89.38.028264337257881.27173566274212
99.38.028264337257881.27173566274212
108.77.882347132548420.817652867451576
118.27.845867831371060.35413216862894
128.37.882347132548420.417652867451577
138.57.882347132548420.617652867451577
148.67.991785036080520.608214963919484
158.58.028264337257880.47173566274212
168.27.918826433725790.281173566274212
178.17.69995062666160.400049373338397
187.97.69995062666160.200049373338398
198.67.69995062666160.900049373338397
208.77.736429927838970.963570072161033
218.77.590512723129511.10948727687049
228.57.80938853019370.690611469806305
238.47.772909229016330.62709077098367
248.57.918826433725790.581173566274212
258.78.064743638435240.635256361564755
268.78.028264337257880.671735662742119
278.67.918826433725790.681173566274212
288.57.955305734903150.544694265096848
298.37.882347132548420.417652867451577
3088.02826433725788-0.0282643372578802
318.28.028264337257880.171735662742119
328.18.028264337257880.0717356627421195
338.18.028264337257880.0717356627421195
3488.17418154196734-0.174181541967337
357.98.13770224078997-0.237702240789972
367.97.80938853019370.0906114698063053
3788.06474363843524-0.0647436384352444
3888.13770224078997-0.137702240789973
397.98.06474363843524-0.164743638435244
4088.17418154196734-0.174181541967337
417.78.17418154196734-0.474181541967337
427.28.13770224078997-0.937702240789973
437.58.06474363843524-0.564743638435244
447.38.02826433725788-0.72826433725788
4578.02826433725788-1.02826433725788
4678.06474363843524-1.06474363843524
4777.8093885301937-0.809388530193695
487.27.95530573490315-0.755305734903152
497.37.88234713254842-0.582347132548424
507.17.99178503608052-0.891785036080516
516.87.99178503608052-1.19178503608052
526.47.84586783137106-1.44586783137106
536.17.77290922901633-1.67290922901633
546.57.6999506266616-1.19995062666160
557.77.626992024306870.0730079756931261
567.97.69995062666160.200049373338398
577.57.77290922901633-0.272909229016331
586.97.48107481959742-0.581074819597417
596.67.2986783137106-0.698678313710597
606.97.1892404101785-0.289240410178503


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
50.2307406405394540.4614812810789070.769259359460546
60.6623260676885640.6753478646228720.337673932311436
70.6773809591166340.6452380817667320.322619040883366
80.7593968147499940.4812063705000120.240603185250006
90.8005031494580440.3989937010839120.199496850541956
100.7844689672165710.4310620655668580.215531032783429
110.706312008449580.587375983100840.29368799155042
120.6233569631653250.753286073669350.376643036834675
130.5562691139867220.8874617720265570.443730886013278
140.4865225716876080.9730451433752160.513477428312392
150.4112515076187630.8225030152375270.588748492381237
160.3351038067891120.6702076135782230.664896193210888
170.2687754666905380.5375509333810750.731224533309462
180.2055849928211360.4111699856422710.794415007178864
190.2151299217064030.4302598434128050.784870078293597
200.2326526401039660.4653052802079330.767347359896034
210.2846718329215950.569343665843190.715328167078405
220.2722290873046130.5444581746092250.727770912695388
230.261268086820340.522536173640680.73873191317966
240.2490270315979520.4980540631959030.750972968402049
250.2516317725362420.5032635450724850.748368227463758
260.2730145136052160.5460290272104320.726985486394784
270.3160374506712310.6320749013424610.68396254932877
280.3489687400811530.6979374801623060.651031259918847
290.3788584372023450.757716874404690.621141562797655
300.3692515885645830.7385031771291650.630748411435417
310.3705101957321020.7410203914642050.629489804267898
320.3692654936344600.7385309872689190.63073450636554
330.374472531944340.748945063888680.62552746805566
340.3538615893694330.7077231787388650.646138410630567
350.3349593143904560.6699186287809130.665040685609544
360.3798101237660680.7596202475321350.620189876233932
370.3911667258303650.782333451660730.608833274169635
380.4005307106346880.8010614212693760.599469289365312
390.4239127471031130.8478254942062250.576087252896887
400.4728450742331050.945690148466210.527154925766895
410.4852180277862090.9704360555724170.514781972213791
420.5056169212683710.9887661574632570.494383078731629
430.5088645157245960.9822709685508070.491135484275404
440.5098069365340260.9803861269319480.490193063465974
450.5278648445175660.9442703109648680.472135155482434
460.518349025793320.963301948413360.48165097420668
470.5284021613283070.9431956773433860.471597838671693
480.484673096026350.96934619205270.51532690397365
490.4459427795896180.8918855591792360.554057220410382
500.3893822680156780.7787645360313560.610617731984322
510.3463881449886980.6927762899773950.653611855011302
520.4196615422788820.8393230845577630.580338457721118
530.7533847962829850.493230407434030.246615203717015
540.9427760946682070.1144478106635870.0572239053317933
550.8862461047755370.2275077904489270.113753895224463


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level00OK
10% type I error level00OK
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Dec/14/t126081152952tuian1fkwrnad/10y58f1260811411.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/14/t126081152952tuian1fkwrnad/10y58f1260811411.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/14/t126081152952tuian1fkwrnad/1169x1260811411.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/14/t126081152952tuian1fkwrnad/1169x1260811411.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/14/t126081152952tuian1fkwrnad/2elcn1260811411.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/14/t126081152952tuian1fkwrnad/2elcn1260811411.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/14/t126081152952tuian1fkwrnad/3vh3e1260811411.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/14/t126081152952tuian1fkwrnad/3vh3e1260811411.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/14/t126081152952tuian1fkwrnad/4d3uz1260811411.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/14/t126081152952tuian1fkwrnad/4d3uz1260811411.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/14/t126081152952tuian1fkwrnad/5uieo1260811411.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/14/t126081152952tuian1fkwrnad/5uieo1260811411.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/14/t126081152952tuian1fkwrnad/6pspq1260811411.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/14/t126081152952tuian1fkwrnad/6pspq1260811411.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/14/t126081152952tuian1fkwrnad/7fhq51260811411.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/14/t126081152952tuian1fkwrnad/7fhq51260811411.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/14/t126081152952tuian1fkwrnad/88uhf1260811411.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/14/t126081152952tuian1fkwrnad/88uhf1260811411.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/14/t126081152952tuian1fkwrnad/9jipn1260811411.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/14/t126081152952tuian1fkwrnad/9jipn1260811411.ps (open in new window)


 
Parameters (Session):
par1 = 1 ; par2 = Do not include Seasonal Dummies ; par3 = No Linear Trend ;
 
Parameters (R input):
par1 = 1 ; par2 = Do not include Seasonal Dummies ; par3 = No 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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