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*Unverified author*
R Software Module: /rwasp_multipleregression.wasp (opens new window with default values)
Title produced by software: Multiple Regression
Date of computation: Mon, 21 Dec 2009 05:18:08 -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/21/t1261398160n7jh4eenbwvtgzc.htm/, Retrieved Mon, 21 Dec 2009 13:22:52 +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/Dec/21/t1261398160n7jh4eenbwvtgzc.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 «
2350.44 0 2440.25 0 2408.64 0 2472.81 0 2407.6 0 2454.62 0 2448.05 0 2497.84 0 2645.64 0 2756.76 0 2849.27 0 2921.44 0 2981.85 0 3080.58 0 3106.22 0 3119.31 0 3061.26 0 3097.31 0 3161.69 0 3257.16 0 3277.01 0 3295.32 0 3363.99 0 3494.17 0 3667.03 0 3813.06 0 3917.96 0 3895.51 0 3801.06 0 3570.12 0 3701.61 0 3862.27 0 3970.1 0 4138.52 0 4199.75 0 4290.89 0 4443.91 0 4502.64 1 4356.98 1 4591.27 1 4696.96 1 4621.4 1 4562.84 1 4202.52 1 4296.49 1 4435.23 1 4105.18 1 4116.68 1 3844.49 1 3720.98 1 3674.4 1 3857.62 1 3801.06 1 3504.37 1 3032.6 1 3047.03 1 2962.34 1 2197.82 1 2014.45 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
Bel20[t] = + 3249.21675675676 + 575.571879606879Dummy[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)3249.21675675676110.50510729.403300
Dummy575.571879606879180.9660113.18060.0023780.001189


Multiple Linear Regression - Regression Statistics
Multiple R0.388230633971951
R-squared0.150723025154263
Adjusted R-squared0.135823429104337
F-TEST (value)10.1159135220326
F-TEST (DF numerator)1
F-TEST (DF denominator)57
p-value0.00237838263792423
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation672.176322477571
Sum Squared Residuals25753797.4844699


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
12350.443249.21675675675-898.776756756754
22440.253249.21675675676-808.966756756756
32408.643249.21675675676-840.576756756757
42472.813249.21675675676-776.406756756757
52407.63249.21675675676-841.616756756757
62454.623249.21675675676-794.596756756757
72448.053249.21675675676-801.166756756757
82497.843249.21675675676-751.376756756757
92645.643249.21675675676-603.576756756757
102756.763249.21675675676-492.456756756757
112849.273249.21675675676-399.946756756757
122921.443249.21675675676-327.776756756757
132981.853249.21675675676-267.366756756757
143080.583249.21675675676-168.636756756757
153106.223249.21675675676-142.996756756757
163119.313249.21675675676-129.906756756757
173061.263249.21675675676-187.956756756757
183097.313249.21675675676-151.906756756757
193161.693249.21675675676-87.5267567567569
203257.163249.216756756767.94324324324292
213277.013249.2167567567627.7932432432433
223295.323249.2167567567646.1032432432432
233363.993249.21675675676114.773243243243
243494.173249.21675675676244.953243243243
253667.033249.21675675676417.813243243243
263813.063249.21675675676563.843243243243
273917.963249.21675675676668.743243243243
283895.513249.21675675676646.293243243243
293801.063249.21675675676551.843243243243
303570.123249.21675675676320.903243243243
313701.613249.21675675676452.393243243243
323862.273249.21675675676613.053243243243
333970.13249.21675675676720.883243243243
344138.523249.21675675676889.303243243244
354199.753249.21675675676950.533243243243
364290.893249.216756756761041.67324324324
374443.913249.216756756761194.69324324324
384502.643824.78863636364677.851363636364
394356.983824.78863636364532.191363636363
404591.273824.78863636364766.481363636364
414696.963824.78863636364872.171363636364
424621.43824.78863636364796.611363636363
434562.843824.78863636364738.051363636364
444202.523824.78863636364377.731363636364
454296.493824.78863636364471.701363636363
464435.233824.78863636364610.441363636363
474105.183824.78863636364280.391363636364
484116.683824.78863636364291.891363636364
493844.493824.7886363636419.7013636363634
503720.983824.78863636364-103.808636363636
513674.43824.78863636364-150.388636363636
523857.623824.7886363636432.8313636363635
533801.063824.78863636364-23.7286363636364
543504.373824.78863636364-320.418636363636
553032.63824.78863636364-792.188636363637
563047.033824.78863636364-777.758636363636
572962.343824.78863636364-862.448636363636
582197.823824.78863636364-1626.96863636364
592014.453824.78863636364-1810.33863636364


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
50.0007420199348284890.001484039869656980.999257980065172
66.93450392656692e-050.0001386900785313380.999930654960734
75.74360322489835e-061.14872064497967e-050.999994256396775
81.22675566242444e-062.45351132484888e-060.999998773244338
99.1462552397515e-061.82925104795030e-050.99999085374476
104.53917504165671e-059.07835008331342e-050.999954608249583
110.0001440285300728700.0002880570601457390.999855971469927
120.0003263667915498120.0006527335830996250.99967363320845
130.0005988129302786820.001197625860557360.999401187069721
140.001216599605320630.002433199210641260.99878340039468
150.001838659744099280.003677319488198560.9981613402559
160.002286044124416380.004572088248832770.997713955875584
170.002105875512450530.004211751024901070.99789412448755
180.002017432077243340.004034864154486680.997982567922757
190.002145377317032320.004290754634064650.997854622682968
200.002693032401771480.005386064803542970.997306967598228
210.003196481334561570.006392962669123130.996803518665438
220.003653705198435560.007307410396871120.996346294801564
230.004485615137351520.008971230274703050.995514384862648
240.006567218917225910.01313443783445180.993432781082774
250.01192386841706540.02384773683413070.988076131582935
260.02302042926114090.04604085852228180.97697957073886
270.04116615644940150.08233231289880310.958833843550599
280.05675757319175310.1135151463835060.943242426808247
290.06237400292352250.1247480058470450.937625997076478
300.05673898778218050.1134779755643610.94326101221782
310.05484657643848810.1096931528769760.945153423561512
320.05764685538408010.1152937107681600.94235314461592
330.06305552940643610.1261110588128720.936944470593564
340.07456309301243660.1491261860248730.925436906987563
350.08561718429514350.1712343685902870.914382815704857
360.09792204146395250.1958440829279050.902077958536047
370.1160353829932070.2320707659864150.883964617006793
380.09840360429378250.1968072085875650.901596395706218
390.0784914361344260.1569828722688520.921508563865574
400.0737102448621850.147420489724370.926289755137815
410.08101128381779530.1620225676355910.918988716182205
420.0894367537846220.1788735075692440.910563246215378
430.1021191249587170.2042382499174340.897880875041283
440.09294917072327830.1858983414465570.907050829276722
450.0948740119932730.1897480239865460.905125988006727
460.1260701648646610.2521403297293220.873929835135339
470.1314831147899540.2629662295799070.868516885210046
480.1523001037543240.3046002075086490.847699896245676
490.1489750920026130.2979501840052270.851024907997387
500.1381998758398910.2763997516797810.86180012416011
510.1280332074166160.2560664148332310.871966792583384
520.166865461377920.333730922755840.83313453862208
530.2669447567940420.5338895135880830.733055243205958
540.3550453542959360.7100907085918720.644954645704064


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level190.38NOK
5% type I error level220.44NOK
10% type I error level230.46NOK
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Dec/21/t1261398160n7jh4eenbwvtgzc/10sgts1261397883.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/21/t1261398160n7jh4eenbwvtgzc/10sgts1261397883.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/21/t1261398160n7jh4eenbwvtgzc/1wrm51261397883.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/21/t1261398160n7jh4eenbwvtgzc/1wrm51261397883.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/21/t1261398160n7jh4eenbwvtgzc/2d5go1261397883.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/21/t1261398160n7jh4eenbwvtgzc/2d5go1261397883.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/21/t1261398160n7jh4eenbwvtgzc/3lxsv1261397883.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/21/t1261398160n7jh4eenbwvtgzc/3lxsv1261397883.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/21/t1261398160n7jh4eenbwvtgzc/4oudy1261397883.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/21/t1261398160n7jh4eenbwvtgzc/4oudy1261397883.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/21/t1261398160n7jh4eenbwvtgzc/5t3jx1261397883.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/21/t1261398160n7jh4eenbwvtgzc/5t3jx1261397883.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/21/t1261398160n7jh4eenbwvtgzc/64n4t1261397883.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/21/t1261398160n7jh4eenbwvtgzc/64n4t1261397883.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/21/t1261398160n7jh4eenbwvtgzc/75ngl1261397883.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/21/t1261398160n7jh4eenbwvtgzc/75ngl1261397883.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/21/t1261398160n7jh4eenbwvtgzc/8yoqf1261397883.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/21/t1261398160n7jh4eenbwvtgzc/8yoqf1261397883.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/21/t1261398160n7jh4eenbwvtgzc/9c4q91261397883.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/21/t1261398160n7jh4eenbwvtgzc/9c4q91261397883.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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