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model 4

*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 06:11:39 -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/t12587227961ok1wjxqu8q5s9n.htm/, Retrieved Fri, 20 Nov 2009 14:13:32 +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/t12587227961ok1wjxqu8q5s9n.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 «
99.06 152.2 96.92 98.2 98.54 98.71 99.65 169.4 99.06 96.92 98.2 98.54 99.82 168.6 99.65 99.06 96.92 98.2 99.99 161.1 99.82 99.65 99.06 96.92 100.33 174.1 99.99 99.82 99.65 99.06 99.31 179 100.33 99.99 99.82 99.65 101.1 190.6 99.31 100.33 99.99 99.82 101.1 190 101.1 99.31 100.33 99.99 100.93 181.6 101.1 101.1 99.31 100.33 100.85 174.8 100.93 101.1 101.1 99.31 100.93 180.5 100.85 100.93 101.1 101.1 99.6 196.8 100.93 100.85 100.93 101.1 101.88 193.8 99.6 100.93 100.85 100.93 101.81 197 101.88 99.6 100.93 100.85 102.38 216.3 101.81 101.88 99.6 100.93 102.74 221.4 102.38 101.81 101.88 99.6 102.82 217.9 102.74 102.38 101.81 101.88 101.72 229.7 102.82 102.74 102.38 101.81 103.47 227.4 101.72 102.82 102.74 102.38 102.98 204.2 103.47 101.72 102.82 102.74 102.68 196.6 102.98 103.47 101.72 102.82 102.9 198.8 102.68 102.98 103.47 101.72 103.03 207.5 102.9 102.68 102.98 103.47 101.29 190.7 103.03 102.9 102.68 102.98 103.69 201.6 101.29 103.03 102.9 102.68 103.68 210.5 103.69 101.29 103.03 102.9 1 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 time6 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


Multiple Linear Regression - Estimated Regression Equation
Y[t] = + 12.0075106155311 + 0.00706906994709151X[t] + 0.492628156335883Y1[t] + 0.141018411173Y2[t] + 0.00778650777325245Y3[t] + 0.210384272455964Y4[t] + 3.10696889836303M1[t] + 2.18939852178247M2[t] + 2.06031177005909M3[t] + 2.32501060991481M4[t] + 1.76821492983135M5[t] + 0.33342314126969M6[t] + 2.55766571757778M7[t] + 1.64749851532543M8[t] + 1.54105844819217M9[t] + 1.91751211161407M10[t] + 1.68745560545471M11[t] + 0.0151867036463499t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)12.00751061553114.4582372.69330.0104690.005234
X0.007069069947091510.0012775.53512e-061e-06
Y10.4926281563358830.1472333.34590.0018560.000928
Y20.1410184111730.1689180.83480.4090290.204514
Y30.007786507773252450.1831950.04250.966320.48316
Y40.2103842724559640.1515341.38840.1731130.086557
M13.106968898363030.3093310.044200
M22.189398521782470.3757575.82661e-060
M32.060311770059090.4016015.13029e-064e-06
M42.325010609914810.3948895.88781e-060
M51.768214929831350.1829919.662800
M60.333423141269690.1855961.79650.0803680.040184
M72.557665717577780.2743989.32100
M81.647498515325430.303225.43333e-062e-06
M91.541058448192170.2995735.14428e-064e-06
M101.917512111614070.2966056.464900
M111.687455605454710.1929418.74600
t0.01518670364634990.0103311.470.1497880.074894


Multiple Linear Regression - Regression Statistics
Multiple R0.998073681717132
R-squared0.99615107413639
Adjusted R-squared0.99442918625004
F-TEST (value)578.522609998258
F-TEST (DF numerator)17
F-TEST (DF denominator)38
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.267843432610432
Sum Squared Residuals2.72612396691648


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
199.0699.3334215628548-0.273421562854746
299.6599.38793384230740.262066157692614
399.8299.77931116783630.0406888321636927
499.9999.92049759379550.069502406204525
5100.33100.0333228257890.296677174210958
699.3198.96527331373860.344726686261437
7101.1100.8692583780540.230741621945542
8101.1100.7464147968850.353585203114607
9100.93100.9117926165490.0182073834511236
10100.85100.970962412409-0.120962412408868
11100.93101.109590773884-0.179590773884153
1299.699.5793527855050.0206472144950217
13101.88101.999998955701-0.119998955700819
14101.81102.039666195008-0.229666195008403
15102.38102.3557118898990.0242881101007720
16102.74102.6805186058170.0594813941826108
17102.82102.851025600870-0.031025600870458
18101.72101.5947238322190.125276167781191
19103.47103.4100069303180.0599930696824191
20102.98103.134364288943-0.154364288942553
21102.68103.003046000052-0.323046000051811
22102.9102.975554541530-0.0755545415297692
23103.03103.252615406587-0.222615406587493
24101.29101.451227594614-0.161227594614316
25103.69103.750193210448-0.0601932104483822
26103.68103.894956585759-0.214956585759212
27104.2104.22027378414-0.0202737841400317
28104.08104.409655490392-0.329655490391595
29104.16104.439416215429-0.279416215429192
30103.05103.134728410320-0.0847284103202966
31104.66104.881344999872-0.221344999872108
32104.46104.707912788672-0.247912788671913
33104.95104.8629317382540.0870682617455716
34105.85105.4015785866230.4484214133772
35106.23106.0059375226140.224062477386205
36104.86104.6950581709460.164941829053714
37107.44107.4254636276260.0145363723735566
38108.23107.9451550967580.284844903241532
39108.45108.751797373162-0.301797373161609
40109.39109.2342803757960.155719624203682
41110.15109.9046594525860.245340547414266
42109.13109.205874634595-0.0758746345947503
43110.28110.743785384518-0.463785384518273
44110.17110.186749394477-0.0167493944770209
45109.99109.7722296451450.217770354855116
46109.26109.511904459439-0.251904459438562
47109.11108.9318562969150.17814370308544
48107.06107.084361448934-0.02436144893442
49109.53109.0909226433700.439077356630390
50108.92109.022288280167-0.102288280166531
51109.24108.9829057849630.257094215037176
52109.12109.0750479341990.0449520658007774
53109109.231575905326-0.231575905325573
54107.23107.539399809128-0.309399809127581
55109.49109.0956043072380.39439569276242
56109.04108.9745587310230.0654412689768803


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
210.3319411442086230.6638822884172450.668058855791377
220.1894515028336160.3789030056672330.810548497166384
230.1336563204772190.2673126409544390.86634367952278
240.06909763654352540.1381952730870510.930902363456475
250.03600997172542130.07201994345084260.963990028274579
260.01662580854164270.03325161708328530.983374191458357
270.00661615674632560.01323231349265120.993383843253674
280.02225348507193510.04450697014387030.977746514928065
290.05326210308793110.1065242061758620.946737896912069
300.05396149014785750.1079229802957150.946038509852142
310.03363068291879750.0672613658375950.966369317081203
320.02315970649231580.04631941298463160.976840293507684
330.02475681515792290.04951363031584580.975243184842077
340.01810764614607830.03621529229215670.981892353853922
350.008435619531825310.01687123906365060.991564380468175


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level70.466666666666667NOK
10% type I error level90.6NOK
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Nov/20/t12587227961ok1wjxqu8q5s9n/10lnb81258722692.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t12587227961ok1wjxqu8q5s9n/10lnb81258722692.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t12587227961ok1wjxqu8q5s9n/1zp0x1258722692.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t12587227961ok1wjxqu8q5s9n/1zp0x1258722692.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t12587227961ok1wjxqu8q5s9n/2po611258722692.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t12587227961ok1wjxqu8q5s9n/2po611258722692.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t12587227961ok1wjxqu8q5s9n/32ugf1258722692.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t12587227961ok1wjxqu8q5s9n/32ugf1258722692.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t12587227961ok1wjxqu8q5s9n/4hwxs1258722692.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t12587227961ok1wjxqu8q5s9n/4hwxs1258722692.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t12587227961ok1wjxqu8q5s9n/5zmqz1258722692.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t12587227961ok1wjxqu8q5s9n/5zmqz1258722692.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t12587227961ok1wjxqu8q5s9n/68tyt1258722692.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t12587227961ok1wjxqu8q5s9n/68tyt1258722692.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t12587227961ok1wjxqu8q5s9n/78b3d1258722692.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t12587227961ok1wjxqu8q5s9n/78b3d1258722692.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t12587227961ok1wjxqu8q5s9n/8jbpf1258722692.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t12587227961ok1wjxqu8q5s9n/8jbpf1258722692.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t12587227961ok1wjxqu8q5s9n/9vucp1258722692.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t12587227961ok1wjxqu8q5s9n/9vucp1258722692.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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