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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: Fri, 20 Nov 2009 05:59:36 -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/t12587220059x3pke4lac6x6s5.htm/, Retrieved Fri, 20 Nov 2009 14:00:17 +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/t12587220059x3pke4lac6x6s5.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 «
89.1 72.7 82.6 79.7 102.7 115.8 91.8 87.8 94.1 99.2 103.1 111.4 93.2 102.3 91 94.4 94.3 118.5 99.4 112.1 115.7 136.5 116.8 139.8 99.8 104.5 96 123.3 115.9 156.6 109.1 136.2 117.3 147.5 109.8 143.8 112.8 135.8 110.7 121.6 100 128 113.3 129.7 122.4 136.2 112.5 130.5 104.2 99.2 92.5 110.4 117.2 151.6 109.3 129.6 106.1 123.6 118.8 142.7 105.3 119 106 118.1 102 120 112.9 124.3 116.5 123.3 114.8 122.4 100.5 90.5 85.4 91 114.6 137 109.9 127.7 100.7 105.1 115.5 135.6 100.7 112.4 99 102.5 102.3 112.6 108.8 110.8 105.9 103.4 113.2 117.6 95.7 87.5 80.9 87 113.9 130 98.1 102.9 102.8 111.1 104.7 128.9 95.9 106.3 94.6 99 101.6 109.9 103.9 104 110.3 112.9 114.1 113.6
 
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
R Framework
error message
Warning: there are blank lines in the 'Data X' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.


Multiple Linear Regression - Estimated Regression Equation
TotaleIndustrieleProductie[t] = + 60.5723257968456 + 0.409406491194934Investeringsgoederen[t] -1.73997398875970M1[t] -15.2224134744869M2[t] -6.2587520538734M3[t] -6.80666085283433M4[t] -6.50781928966874M5[t] -6.61544127689258M6[t] -8.39735230028105M7[t] -6.49855556195852M8[t] -11.1638483388052M9[t] -2.95344127395409M10[t] + 0.902654510456986M11[t] + 0.0728314508847354t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)60.57232579684564.25940814.220800
Investeringsgoederen0.4094064911949340.03048613.429400
M1-1.739973988759702.199106-0.79120.4328770.216439
M2-15.22241347448692.093141-7.272500
M3-6.25875205387341.945574-3.21690.0023740.001187
M4-6.806660852834331.927506-3.53130.0009530.000476
M5-6.507819289668741.922936-3.38430.0014680.000734
M6-6.615441276892581.91523-3.45410.0011970.000598
M7-8.397352300281051.928115-4.35527.4e-053.7e-05
M8-6.498555561958521.980525-3.28120.0019760.000988
M9-11.16384833880521.913423-5.83451e-060
M10-2.953441273954091.918586-1.53940.1305620.065281
M110.9026545104569861.9004590.4750.6370580.318529
t0.07283145088473540.0232353.13450.0029960.001498


Multiple Linear Regression - Regression Statistics
Multiple R0.96132580989825
R-squared0.924147312776527
Adjusted R-squared0.902710683778589
F-TEST (value)43.1106641284607
F-TEST (DF numerator)13
F-TEST (DF denominator)46
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation3.00233118796081
Sum Squared Residuals414.643657861300


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
189.188.66903516884270.430964831157306
282.678.12527257236454.4747274276355
3102.7101.9413397760000.758660224000175
491.890.00288067446541.79711932553455
594.195.041787688138-0.941787688138045
6103.1100.0017563443773.09824365562285
793.294.5670777019995-1.36707770199949
89193.3043946107668-2.30439461076679
994.398.5786297226028-4.27862972260281
1099.4104.241666694691-4.84166669469101
11115.7118.160112315143-2.46011231514323
12116.8118.681330676514-1.88133067651427
1399.8102.562138999458-2.76213899945812
149696.8493729990804-0.849372999080426
15115.9119.51910202737-3.61910202736996
16109.1110.692132258917-1.59213225891710
17117.3115.6900986234701.60990137652981
18109.8114.140504069710-4.34050406970983
19112.8109.1561725676473.64382743235337
20110.7105.3142285818865.38577141811418
21100103.341968799572-3.3419687995715
22113.3112.3211983503390.97880164966131
23122.4118.9112677784023.48873222159844
24112.5115.747827719018-3.2478277190182
25104.2101.2662620067422.93373799325821
2692.592.44200667328260.057993326717399
27117.2118.346046982012-1.14604698201212
28109.3108.8640268276470.435973172352637
29106.1106.779260894528-0.679260894528087
30118.8114.5641343400124.23586565998778
31105.3103.1521209261892.14787907381145
32106104.7552832733201.24471672667962
33102100.9406942806291.05930571937115
34112.9110.9843807085031.91561929149714
35116.5114.5039014526041.99609854739626
36114.8113.3056125509561.49438744904394
37100.598.57840294396271.92159705603731
3885.485.37349815471770.0265018452823059
39114.6113.2426896211831.35731037881709
40109.9108.9601319049940.939868095006193
41100.7100.0792182180390.620781781961381
42115.5112.5313256631452.96867433685499
43100.7101.324015494919-0.624015494918803
449999.2425194212962-0.242519421296228
45102.398.78506365640323.51493634359684
46108.8106.3313704879882.46862951201191
47105.9107.230689688441-1.33068968844137
48113.2112.2144388038370.985561196162808
4995.798.2241608809947-2.52416088099471
5080.984.6098496005548-3.70984960055478
51113.9111.2508215934352.64917840656482
5298.199.6808283339763-1.58082833397627
53102.8103.409634575825-0.609634575825055
54104.7110.662279582756-5.96227958275578
5595.999.7006133092465-3.80061330924653
5694.698.6835741127308-4.08357411273079
57101.698.55364354079373.04635645920633
58103.9104.421383758479-0.521383758479346
59110.3111.99402876541-1.69402876541008
60114.1111.4507902496742.64920975032571


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
170.4123067903617900.8246135807235790.58769320963821
180.3385704216179470.6771408432358930.661429578382053
190.7756422593533880.4487154812932230.224357740646612
200.9120711585118120.1758576829763760.0879288414881879
210.9345968579121470.1308062841757060.0654031420878532
220.9203535548830960.1592928902338090.0796464451169044
230.8769554468356630.2460891063286750.123044553164337
240.967550624181530.06489875163694190.0324493758184709
250.945810662667430.108378674665140.05418933733257
260.9400039458351650.1199921083296710.0599960541648355
270.9532825003586920.09343499928261590.0467174996413080
280.929153954413130.1416920911737410.0708460455868707
290.930040556121480.1399188877570420.0699594438785208
300.9339292963494730.1321414073010540.0660707036505271
310.9084260249872120.1831479500255760.0915739750127881
320.8653167009574720.2693665980850560.134683299042528
330.9028571816181350.194285636763730.097142818381865
340.8778167248019240.2443665503961520.122183275198076
350.8170511944111650.365897611177670.182948805588835
360.8217967609676260.3564064780647480.178203239032374
370.7699964029828640.4600071940342730.230003597017136
380.7309057896355860.5381884207288270.269094210364414
390.722283002671720.555433994656560.27771699732828
400.6799394300717330.6401211398565330.320060569928267
410.5577152479159760.8845695041680490.442284752084024
420.8306217843383440.3387564313233120.169378215661656
430.7308660588537450.5382678822925110.269133941146255


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 level20.0740740740740741OK
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Nov/20/t12587220059x3pke4lac6x6s5/10t5wu1258721972.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t12587220059x3pke4lac6x6s5/10t5wu1258721972.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t12587220059x3pke4lac6x6s5/1wyjx1258721972.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t12587220059x3pke4lac6x6s5/1wyjx1258721972.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t12587220059x3pke4lac6x6s5/2ob6k1258721972.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t12587220059x3pke4lac6x6s5/2ob6k1258721972.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t12587220059x3pke4lac6x6s5/3j7c41258721972.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t12587220059x3pke4lac6x6s5/3j7c41258721972.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t12587220059x3pke4lac6x6s5/4cl571258721972.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t12587220059x3pke4lac6x6s5/4cl571258721972.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t12587220059x3pke4lac6x6s5/5qglz1258721972.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t12587220059x3pke4lac6x6s5/5qglz1258721972.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t12587220059x3pke4lac6x6s5/6lan61258721972.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t12587220059x3pke4lac6x6s5/6lan61258721972.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t12587220059x3pke4lac6x6s5/7pd8v1258721972.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t12587220059x3pke4lac6x6s5/7pd8v1258721972.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t12587220059x3pke4lac6x6s5/8t88m1258721972.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t12587220059x3pke4lac6x6s5/8t88m1258721972.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t12587220059x3pke4lac6x6s5/9kn7e1258721972.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t12587220059x3pke4lac6x6s5/9kn7e1258721972.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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