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Ws 7 regressie analyse 2laatste maanden

*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: Wed, 18 Nov 2009 09:31:58 -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/18/t1258562002kaarbsh5v8xc2v7.htm/, Retrieved Wed, 18 Nov 2009 17:33:34 +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/18/t1258562002kaarbsh5v8xc2v7.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 «
1643 8997 1639 1395 1751 9062 1643 1639 1797 8885 1751 1643 1373 9058 1797 1751 1558 9095 1373 1797 1555 9149 1558 1373 2061 9857 1555 1558 2010 9848 2061 1555 2119 10269 2010 2061 1985 10341 2119 2010 1963 9690 1985 2119 2017 10125 1963 1985 1975 9349 2017 1963 1589 9224 1975 2017 1679 9224 1589 1975 1392 9454 1679 1589 1511 9347 1392 1679 1449 9430 1511 1392 1767 9933 1449 1511 1899 10148 1767 1449 2179 10677 1899 1767 2217 10735 2179 1899 2049 9760 2217 2179 2343 10567 2049 2217 2175 9333 2343 2049 1607 9409 2175 2343 1702 9502 1607 2175 1764 9348 1702 1607 1766 9319 1764 1702 1615 9594 1766 1764 1953 10160 1615 1766 2091 10182 1953 1615 2411 10810 2091 1953 2550 11105 2411 2091 2351 9874 2550 2411 2786 10958 2351 2550 2525 9311 2786 2351 2474 9610 2525 2786 2332 9398 2474 2525 1978 9784 2332 2474 1789 9425 1978 2332 1904 9557 1789 1978 1997 10166 1904 1789 2207 10337 1997 1904 2453 10770 2207 1997 1948 11265 2453 2207 1384 10183 1948 2453 1989 10941 1384 1948 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
aanbod[t] = + 617.674552839261 + 0.0404402210843701invoer[t] + 0.710157341244884`y(t-1)`[t] -0.0773485495535648`y(t-2)`[t] -315.540905496075M1[t] -436.959058722751M2[t] -299.931399291189M3[t] -517.866187168882M4[t] -367.629587341215M5[t] -430.560458513548M6[t] -286.062967850213M7[t] -224.916251638326M8[t] -107.946933806307M9[t] -376.257868939131M10[t] -475.138020364354M11[t] + 0.943798257753726t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)617.6745528392612726.5868180.22650.8219090.410954
invoer0.04044022108437010.2629380.15380.8785210.43926
`y(t-1)`0.7101573412448840.1650664.30230.0001025.1e-05
`y(t-2)`-0.07734854955356480.160768-0.48110.632990.316495
M1-315.540905496075341.592062-0.92370.3610290.180514
M2-436.959058722751333.404964-1.31060.1972890.098644
M3-299.931399291189361.535908-0.82960.4115670.205784
M4-517.866187168882331.986235-1.55990.1264690.063235
M5-367.629587341215359.605365-1.02230.3126270.156313
M6-430.560458513548331.870048-1.29740.2017540.100877
M7-286.062967850213202.444197-1.4130.1651890.082595
M8-224.916251638326182.255332-1.23410.2242030.112102
M9-107.946933806307153.819601-0.70180.4867840.243392
M10-376.257868939131184.584485-2.03840.0479940.023997
M11-475.138020364354240.700152-1.9740.0551470.027574
t0.9437982577537264.2631940.22140.8258930.412947


Multiple Linear Regression - Regression Statistics
Multiple R0.837502903368616
R-squared0.701411113150861
Adjusted R-squared0.592171276498738
F-TEST (value)6.42083634182388
F-TEST (DF numerator)15
F-TEST (DF denominator)41
p-value1.03794539541013e-06
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation206.136457647118
Sum Squared Residuals1742181.80602339


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
116431722.96477037016-79.9647703701586
217511589.08661304563161.913386954369
317971796.287750259250.712249740753709
413731610.60651323238-237.606513232383
515581458.6184535306399.3815464693688
615551562.99004569562-7.99004569562253
720611720.6230574533340.376942546699
820102141.92127025175-131.921270251755
921192201.50332894045-82.5033289404535
1019852018.39981420638-33.3998142063823
1119631790.54480148484172.455198515165
1220172278.95936041143-261.959360411434
1319751973.030806129041.96919387095642
1415891813.49799351640-224.497993516397
1516791680.59735656644-1.59735656643769
1613921566.67831863562-174.678318635619
1715111502.755086667918.24491333208958
1814491550.83230943335-101.832309433348
1917671663.38079700582103.619202994182
2018991964.79160359679-65.7916035967924
2121792173.241526926495.75847307351248
2222172096.85396988181120.146030118193
2320491964.8167862493984.1832137506149
2423432351.28818507440-8.2881850744033
2521752208.56865966896-33.5686596689639
2616071949.12085460457-342.120854604565
2717021700.478439352631.52156064736768
2817641588.65857925039175.341420749611
2917661775.34785387396-9.34785387395748
3016151721.10654636775-106.106546367748
3119531782.04854479551170.951455204494
3220912096.74155645236-5.74155645236218
3324112311.9090347258199.0909652741918
3425502273.04801243060276.951987569403
3523512199.29008168417151.709918315833
3627862567.13634066605218.863659333945
3725252510.2449941044614.7550058955406
3824742182.86458011905291.135419880951
3923322296.2326579684735.7673420315308
4019781997.95402725755-19.9540272575546
4117891894.20418120960-105.204181209605
4219041730.71686652484173.283133475159
4319971997.07322019510-0.0732201950963134
4422072123.2285620072883.771437992721
4524532400.5919203795352.4080796204722
4619482311.69820348121-363.698203481213
4713841792.34833058161-408.348330581613
4819891937.6161138481151.3838861518918
4921402043.1907697273796.8092302726257
5021001986.42995871436113.570041285643
5120452081.40379585321-36.4037958532144
5220831826.10256162405256.897438375945
5320222015.074424717906.92557528210368
5419501907.3542319784442.6457680215599
5514222036.87438055028-614.87438055028
5618591739.31700769181119.682992308188
5721472221.75418902772-74.754189027723


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
190.05657052491682770.1131410498336550.943429475083172
200.01958901382880410.03917802765760820.980410986171196
210.005203669194870760.01040733838974150.99479633080513
220.001877264102080060.003754528204160130.99812273589792
230.003756663043742660.007513326087485310.996243336956257
240.002280577925972360.004561155851944730.997719422074028
250.004848074584069050.00969614916813810.99515192541593
260.01349085703077770.02698171406155540.986509142969222
270.006257218851494540.01251443770298910.993742781148505
280.08524967271072450.1704993454214490.914750327289276
290.05359237594026550.1071847518805310.946407624059735
300.05501868779846140.1100373755969230.944981312201539
310.03881471605021030.07762943210042070.96118528394979
320.09107327983101680.1821465596620340.908926720168983
330.0594724494200210.1189448988400420.94052755057998
340.09544749738291580.1908949947658320.904552502617084
350.09646013112753860.1929202622550770.903539868872461
360.1363233918202610.2726467836405220.86367660817974
370.08444504410217590.1688900882043520.915554955897824
380.1693340971773060.3386681943546130.830665902822694


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level40.2NOK
5% type I error level80.4NOK
10% type I error level90.45NOK
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Nov/18/t1258562002kaarbsh5v8xc2v7/10qxyi1258561913.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/18/t1258562002kaarbsh5v8xc2v7/10qxyi1258561913.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/18/t1258562002kaarbsh5v8xc2v7/1japm1258561913.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/18/t1258562002kaarbsh5v8xc2v7/1japm1258561913.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/18/t1258562002kaarbsh5v8xc2v7/2d1sq1258561913.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/18/t1258562002kaarbsh5v8xc2v7/2d1sq1258561913.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/18/t1258562002kaarbsh5v8xc2v7/3tks11258561913.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/18/t1258562002kaarbsh5v8xc2v7/3tks11258561913.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/18/t1258562002kaarbsh5v8xc2v7/402th1258561913.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/18/t1258562002kaarbsh5v8xc2v7/402th1258561913.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/18/t1258562002kaarbsh5v8xc2v7/5prox1258561913.png (open in new window)
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http://www.freestatistics.org/blog/date/2009/Nov/18/t1258562002kaarbsh5v8xc2v7/67d4y1258561913.png (open in new window)
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http://www.freestatistics.org/blog/date/2009/Nov/18/t1258562002kaarbsh5v8xc2v7/7j5c81258561913.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/18/t1258562002kaarbsh5v8xc2v7/7j5c81258561913.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/18/t1258562002kaarbsh5v8xc2v7/8w5gw1258561913.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/18/t1258562002kaarbsh5v8xc2v7/8w5gw1258561913.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/18/t1258562002kaarbsh5v8xc2v7/9pkwl1258561913.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/18/t1258562002kaarbsh5v8xc2v7/9pkwl1258561913.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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