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*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: Fri, 20 Nov 2009 11:03:57 -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/20/t1258740280pn3rdt3crnj0chd.htm/, Retrieved Fri, 20 Nov 2009 19:04:52 +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/20/t1258740280pn3rdt3crnj0chd.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 «
12.6 18 15.7 16 13.2 19 20.3 18 12.8 23 8 20 0.9 20 3.6 15 14.1 17 21.7 16 24.5 15 18.9 10 13.9 13 11 10 5.8 19 15.5 21 22.4 17 31.7 16 30.3 17 31.4 14 20.2 18 19.7 17 10.8 14 13.2 15 15.1 16 15.6 11 15.5 15 12.7 13 10.9 17 10 16 9.1 9 10.3 17 16.9 15 22 12 27.6 12 28.9 12 31 12 32.9 4 38.1 7 28.8 4 29 3 21.8 3 28.8 0 25.6 5 28.2 3 20.2 4 17.9 3 16.3 10 13.2 4 8.1 1 4.5 1 -0.1 8 0 5 2.3 4 2.8 0 2.9 2 0.1 7 3.5 6 8.6 9 13.8 10
 
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 time3 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


Multiple Linear Regression - Estimated Regression Equation
Rvnp[t] = + 18.4525616663621 -0.0204001461721176Svdg[t] -1.03551982459347M1[t] -1.62120043851635M2[t] -2.78367988306231M3[t] -2.75143979535904M4[t] -3.16735976612461M5[t] -3.45183994153115M6[t] -3.88488032157866M7[t] -3.47632011693769M8[t] -2.30775991229673M9[t] -0.808160058468847M10[t] -0.356320116937693M11[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)18.45256166636215.4813373.36640.0015260.000763
Svdg-0.02040014617211760.230032-0.08870.929710.464855
M1-1.035519824593476.812685-0.1520.8798390.439919
M2-1.621200438516356.841982-0.23690.8137260.406863
M3-2.783679883062316.809578-0.40880.6845510.342276
M4-2.751439795359046.814705-0.40380.6882270.344114
M5-3.167359766124616.817034-0.46460.6443460.322173
M6-3.451839941531156.807713-0.5070.6144920.307246
M7-3.884880321578666.825877-0.56910.5719710.285986
M8-3.476320116937696.809578-0.51050.6120880.306044
M9-2.307759912296736.80849-0.3390.7361550.368077
M10-0.8081600584688476.807713-0.11870.9060090.453005
M11-0.3563201169376936.809578-0.05230.958490.479245


Multiple Linear Regression - Regression Statistics
Multiple R0.133224252760056
R-squared0.0177487015234754
Adjusted R-squared-0.233038864044999
F-TEST (value)0.0707718561853072
F-TEST (DF numerator)12
F-TEST (DF denominator)47
p-value0.999990611475983
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation10.7629555079151
Sum Squared Residuals5444.53692947195


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
112.617.0498392106706-4.44983921067059
215.716.5049588890919-0.804958889091902
313.215.2812790060296-2.0812790060296
420.315.3339192399054.96608076009501
512.814.8159985382788-2.01599853827882
6814.5927188013886-6.59271880138864
70.914.1596784213411-13.2596784213411
83.614.6702393568427-11.0702393568427
914.115.7979992691394-1.69799926913941
1021.717.31799926913944.38200073086059
1124.517.79023935684276.70976064315731
1218.918.24856020464100.651439795359037
1313.917.1518399415311-3.25183994153114
141116.6273597661246-5.62735976612461
155.815.2812790060296-9.4812790060296
1615.515.27271880138860.227281198611366
1722.414.93839941531157.46160058468847
1831.714.674319386077117.0256806139229
1930.314.220878859857516.0791211401425
2031.414.690639503014816.7093604969852
2120.215.77759912296734.42240087703271
2219.717.29759912296732.40240087703271
2310.817.8106395030148-7.0106395030148
2413.218.1465594737804-4.94655947378038
2515.117.0906395030148-1.99063950301479
2615.616.6069596199525-1.00695961995249
2715.515.36287959071810.137120409281927
2812.715.4359199707656-2.73591997076558
2910.914.9383994153115-4.03839941531153
301014.6743193860771-4.6743193860771
319.114.3840800292344-5.28408002923442
3210.314.6294390644984-4.32943906449844
3316.915.83879956148361.06120043851635
342217.39959985382794.60040014617212
3527.617.85143979535909.74856020464096
3628.918.207759912296710.6922400877033
373117.172240087703313.8277599122967
3832.916.749760643157316.1502393568427
3938.115.526080760095022.573919239905
4028.815.619521286314613.1804787136854
412915.224001461721213.7759985382788
4221.814.93952128631466.86047871368536
4328.814.567681344783514.2323186552165
4425.614.874240818563910.7257591814361
4528.216.083601315549112.1163986844509
4620.217.56280102320482.63719897679517
4717.918.0350411109081-0.135041110908095
4816.318.2485602046410-1.94856020464096
4913.217.3354412570802-4.1354412570802
508.116.8109610816737-8.71096108167367
514.515.6484816371277-11.1484816371277
52-0.115.5379207016262-15.6379207016262
53015.1832011693770-15.1832011693770
542.314.9191211401425-12.6191211401425
552.814.5676813447835-11.7676813447835
562.914.9354412570802-12.0354412570802
570.116.0020007308606-15.9020007308606
583.517.5220007308606-14.0220007308606
598.617.9126402338754-9.31264023387539
6013.818.2485602046410-4.44856020464096


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
160.04962335494638090.09924670989276180.95037664505362
170.03494740730560310.06989481461120620.965052592694397
180.1551437901241960.3102875802483920.844856209875804
190.3425255945190040.6850511890380080.657474405480996
200.5151166049999250.969766790000150.484883395000075
210.4193133918750390.8386267837500780.580686608124961
220.3118395498528800.6236790997057610.68816045014712
230.2877616887860720.5755233775721450.712238311213928
240.2067903576954690.4135807153909370.793209642304531
250.1427393502402270.2854787004804540.857260649759773
260.09227859678503780.1845571935700760.907721403214962
270.05740913962951780.1148182792590360.942590860370482
280.05174897129772510.1034979425954500.948251028702275
290.0375243809760950.075048761952190.962475619023905
300.02887169102736950.0577433820547390.97112830897263
310.02330696617994260.04661393235988530.976693033820057
320.01580681752669250.03161363505338500.984193182473307
330.008624663496151740.01724932699230350.991375336503848
340.004279806467425780.008559612934851560.995720193532574
350.0027381774269880.0054763548539760.997261822573012
360.002297874797399830.004595749594799660.9977021252026
370.002542411717386090.005084823434772170.997457588282614
380.003521853523492370.007043707046984740.996478146476508
390.03980249853727440.07960499707454880.960197501462726
400.03022732017672920.06045464035345850.96977267982327
410.03912869890653640.07825739781307270.960871301093464
420.03808350120716800.07616700241433610.961916498792832
430.0729296727005230.1458593454010460.927070327299477
440.3960132441996290.7920264883992570.603986755800371


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level50.172413793103448NOK
5% type I error level80.275862068965517NOK
10% type I error level160.551724137931034NOK
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258740280pn3rdt3crnj0chd/10bs371258740233.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258740280pn3rdt3crnj0chd/10bs371258740233.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258740280pn3rdt3crnj0chd/1b17v1258740233.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258740280pn3rdt3crnj0chd/1b17v1258740233.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258740280pn3rdt3crnj0chd/2gvde1258740233.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258740280pn3rdt3crnj0chd/2gvde1258740233.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258740280pn3rdt3crnj0chd/303vd1258740233.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258740280pn3rdt3crnj0chd/303vd1258740233.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258740280pn3rdt3crnj0chd/41w8m1258740233.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258740280pn3rdt3crnj0chd/41w8m1258740233.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258740280pn3rdt3crnj0chd/52cvl1258740233.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258740280pn3rdt3crnj0chd/52cvl1258740233.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258740280pn3rdt3crnj0chd/6aqy71258740233.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258740280pn3rdt3crnj0chd/6aqy71258740233.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258740280pn3rdt3crnj0chd/7egxd1258740233.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258740280pn3rdt3crnj0chd/7egxd1258740233.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258740280pn3rdt3crnj0chd/8ip451258740233.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258740280pn3rdt3crnj0chd/8ip451258740233.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258740280pn3rdt3crnj0chd/99qwx1258740233.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258740280pn3rdt3crnj0chd/99qwx1258740233.ps (open in new window)


 
Parameters (Session):
par1 = 1 ; par2 = Include Monthly Dummies ; par3 = No Linear Trend ;
 
Parameters (R input):
par1 = 1 ; par2 = Include Monthly 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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