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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 11:20:43 -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/t1258741279lrjiepk5ury32jh.htm/, Retrieved Fri, 20 Nov 2009 19:21:31 +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/t1258741279lrjiepk5ury32jh.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 «
1852 18.2 2187 1855 2218 2253 1570 18 1852 2187 1855 2218 1851 19 1570 1852 2187 1855 1954 20.7 1851 1570 1852 2187 1828 21.2 1954 1851 1570 1852 2251 20.7 1828 1954 1851 1570 2277 19.6 2251 1828 1954 1851 2085 18.6 2277 2251 1828 1954 2282 18.7 2085 2277 2251 1828 2266 23.8 2282 2085 2277 2251 1878 24.9 2266 2282 2085 2277 2267 24.8 1878 2266 2282 2085 2069 23.8 2267 1878 2266 2282 1746 22.3 2069 2267 1878 2266 2299 21.7 1746 2069 2267 1878 2360 20.7 2299 1746 2069 2267 2214 19.7 2360 2299 1746 2069 2825 18.4 2214 2360 2299 1746 2355 17.4 2825 2214 2360 2299 2333 17 2355 2825 2214 2360 3016 18 2333 2355 2825 2214 2155 23.8 3016 2333 2355 2825 2172 25.5 2155 3016 2333 2355 2150 25.6 2172 2155 3016 2333 2533 23.7 2150 2172 2155 3016 2058 22 2533 2150 2172 2155 2160 21.3 2058 2533 2150 2172 2260 20.7 2160 2058 2533 2150 2498 20.4 2260 2160 2058 2533 2695 20.3 2498 2260 2160 2058 2799 20.4 2695 2498 2260 2160 2946 19.8 2799 2695 2498 2260 2930 19.5 2946 2799 2695 2498 2318 23.1 2 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 time3 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


Multiple Linear Regression - Estimated Regression Equation
Y[t] = -521.125044123331 + 43.9247300401469X[t] + 0.267607684713609Y1[t] + 0.353647238620865Y2[t] + 0.0424752602074008Y3[t] + 0.087865010872984Y4[t] + 127.551804826609M1[t] -192.613937113397M2[t] + 225.212618383627M3[t] + 443.735103798471M4[t] + 133.326151066841M5[t] + 512.431188452368M6[t] + 188.750160570144M7[t] + 228.369322244913M8[t] + 514.605578151214M9[t] -216.103454805878M10[t] -264.768073178073M11[t] + 1.7513226111489t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-521.125044123331784.363785-0.66440.5103490.255174
X43.924730040146928.0094691.56820.1249110.062456
Y10.2676076847136090.1575881.69820.0974460.048723
Y20.3536472386208650.1657132.13410.0391780.019589
Y30.04247526020740080.1667630.25470.800290.400145
Y40.0878650108729840.1614450.54420.5893740.294687
M1127.551804826609191.7693380.66510.5098810.25494
M2-192.613937113397216.309642-0.89050.3786820.189341
M3225.212618383627206.890731.08860.283030.141515
M4443.735103798471212.2732822.09040.0431490.021575
M5133.326151066841252.3302480.52840.600230.300115
M6512.431188452368246.671262.07740.0443980.022199
M7188.750160570144241.7915980.78060.4397320.219866
M8228.369322244913254.5348760.89720.3751160.187558
M9514.605578151214236.6852992.17420.035820.01791
M10-216.103454805878201.719321-1.07130.2906160.145308
M11-264.768073178073185.609993-1.42650.1616880.080844
t1.75132261114892.6883020.65150.518570.259285


Multiple Linear Regression - Regression Statistics
Multiple R0.829733555062557
R-squared0.688457772396749
Adjusted R-squared0.552657314210717
F-TEST (value)5.06962775820413
F-TEST (DF numerator)17
F-TEST (DF denominator)39
p-value1.38179662922955e-05
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation236.799134179636
Sum Squared Residuals2186879.36798078


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
118521941.05180079232-89.0518007923169
215701623.12094946266-53.1209494626560
318511874.89315302571-23.8931530257124
419542160.25021167375-206.250211673746
518281959.08061013037-131.080610130366
622512307.8393174631-56.8393174631012
722772035.29592757216241.704072427837
820852192.9904768909-107.990476890899
922822450.08072484923-168.080724849227
1022661968.22883814607297.771161853927
1118782029.14876880496-151.148768804957
1222672173.2830982766093.7169017234037
1320692242.17555942156-173.175559421565
1417461924.57025814827-178.57025814827
1522992143.76511482489155.234885175112
1623602379.64257209135-19.6425720913465
1722142207.834422455756.16557754425473
1828252509.19881337064315.801186629365
1923552306.4005184661948.5994815338065
2023332419.66233939098-86.6623393909767
2130162592.59716913233423.402830867667
2221552327.12085177489-172.120851774893
2321722323.77943368687-151.779433686865
2421502321.82793315012-171.827933150117
2525332391.23931089213141.760689107873
2620582017.9366595525640.0633404474396
2721602415.65971824574-255.659718245736
2822602483.22722816375-223.227228163747
2924982237.70151640775260.298483592253
3026952675.8173526008219.1826473991786
3127992508.37663414389290.623365856107
3229462639.78759864091306.212401359092
3329303019.99489946441-89.9948994644116
3423182518.59747258839-200.597472588395
3525402335.20163436202204.798365637976
3625702456.93437855671113.065621443293
3726692619.0198860647249.9801139352799
3824502249.43943575277200.560564247234
3928422648.63270573609193.367294263910
4034402859.27625195842580.723748041577
4126782835.49686991502-157.496869915020
4229813186.18530344320-205.185303443204
4322602726.91987466946-466.919874669459
4428442685.10756778693158.892432213067
4525462820.31524068911-274.315240689115
4624562381.0528374906474.947162509361
4722952196.8701631461598.1298368538463
4823792413.95459001658-34.9545900165796
4924792408.5134428292770.486557170729
5020572065.93269708375-8.93269708374724
5122802349.04930816757-69.0493081675735
5223512482.60373611274-131.603736112738
5322762253.8865810911222.1134189088789
5425482620.95921312224-72.9592131222383
5523112425.00704514829-114.007045148292
5622012471.45201729028-270.452017290284
5727252616.01196586491108.988034135087


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
210.03482066500686580.06964133001373170.965179334993134
220.01577302947748700.03154605895497390.984226970522513
230.008660329033291280.01732065806658260.991339670966709
240.06187124314545210.1237424862909040.938128756854548
250.06606158829206170.1321231765841230.933938411707938
260.08398435939117740.1679687187823550.916015640608823
270.1617592779485840.3235185558971680.838240722051416
280.4834536998317660.9669073996635330.516546300168234
290.3815268123756840.7630536247513680.618473187624316
300.3678027622656590.7356055245313180.632197237734341
310.2668235367311030.5336470734622060.733176463268897
320.4230115140300450.846023028060090.576988485969955
330.3043263570666360.6086527141332720.695673642933364
340.2211282555723860.4422565111447720.778871744427614
350.1299050055279640.2598100110559280.870094994472036
360.08261441414163890.1652288282832780.917385585858361


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level20.125NOK
10% type I error level30.1875NOK
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258741279lrjiepk5ury32jh/103j4r1258741239.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258741279lrjiepk5ury32jh/103j4r1258741239.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258741279lrjiepk5ury32jh/1ac0s1258741239.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258741279lrjiepk5ury32jh/1ac0s1258741239.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258741279lrjiepk5ury32jh/20slx1258741239.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258741279lrjiepk5ury32jh/20slx1258741239.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258741279lrjiepk5ury32jh/316m01258741239.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258741279lrjiepk5ury32jh/316m01258741239.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258741279lrjiepk5ury32jh/4mdct1258741239.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258741279lrjiepk5ury32jh/4mdct1258741239.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258741279lrjiepk5ury32jh/5xhyx1258741239.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258741279lrjiepk5ury32jh/5xhyx1258741239.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258741279lrjiepk5ury32jh/6cd0i1258741239.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258741279lrjiepk5ury32jh/6cd0i1258741239.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258741279lrjiepk5ury32jh/7erh51258741239.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258741279lrjiepk5ury32jh/7erh51258741239.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258741279lrjiepk5ury32jh/84nsv1258741239.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258741279lrjiepk5ury32jh/84nsv1258741239.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258741279lrjiepk5ury32jh/9unem1258741239.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258741279lrjiepk5ury32jh/9unem1258741239.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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