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WS 3

*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: Sat, 21 Nov 2009 07:32:47 -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/21/t1258814091r751jp843emcme4.htm/, Retrieved Sat, 21 Nov 2009 15:35:03 +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/21/t1258814091r751jp843emcme4.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 «
-22 46 -20 50 -17 49 -21 48 -16 50 -11 47 -19 50 -31 49 -36 51 -33 52 -26 48 -38 55 -27 56 -21 43 -17 44 -14 50 -16 49 -16 47 -15 46 -7 50 -9 49 2 53 -6 54 0 56 7 56 4 58 -5 53 2 51 0 52 3 53 10 56 4 54 5 54 7 56 1 59 -8 62 -3 62 -16 73 -22 76 -32 80 -30 77 -32 81 -38 80 -41 80 -46 81 -58 80 -55 77 -48 71 -58 71 -58 64 -68 64 -75 47 -77 41 -75 35 -71 34 -63 33 -61 23 -53 16 -41 16 -35 8 -33 9
 
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
Econ[t] = -33.2695148235069 + 0.134293788016668Price[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-33.269514823506910.268411-3.240.0019660.000983
Price0.1342937880166680.1846340.72740.4698870.234943


Multiple Linear Regression - Regression Statistics
Multiple R0.0942715210230083
R-squared0.00888711967599149
Adjusted R-squared-0.00791140371933063
F-TEST (value)0.529041717944463
F-TEST (DF numerator)1
F-TEST (DF denominator)59
p-value0.469886505641225
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation24.1538239168656
Sum Squared Residuals34421.0253786101


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1-22-27.09200057474015.09200057474014
2-20-26.55482542267356.5548254226735
3-17-26.68911921069029.68911921069017
4-21-26.82341299870685.82341299870683
5-16-26.554825422673510.5548254226735
6-11-26.957706786723515.9577067867235
7-19-26.55482542267357.5548254226735
8-31-26.6891192106902-4.31088078930983
9-36-26.4205316346568-9.57946836534317
10-33-26.2862378466402-6.71376215335984
11-26-26.82341299870680.823412998706835
12-38-25.8833564825902-12.1166435174098
13-27-25.7490626945735-1.25093730542651
14-21-27.49488193879026.49488193879017
15-17-27.360588150773510.3605881507735
16-14-26.554825422673512.5548254226735
17-16-26.689119210690210.6891192106902
18-16-26.957706786723510.9577067867235
19-15-27.092000574740212.0920005747402
20-7-26.554825422673519.5548254226735
21-9-26.689119210690217.6891192106902
222-26.151944058623528.1519440586235
23-6-26.017650270606820.0176502706068
240-25.749062694573525.7490626945735
257-25.749062694573532.7490626945735
264-25.480475118540229.4804751185402
27-5-26.151944058623521.1519440586235
282-26.420531634656828.4205316346568
290-26.286237846640226.2862378466402
303-26.151944058623529.1519440586235
3110-25.749062694573535.7490626945735
324-26.017650270606830.0176502706068
335-26.017650270606831.0176502706068
347-25.749062694573532.7490626945735
351-25.346181330523526.3461813305235
36-8-24.943299966473516.9432999664735
37-3-24.943299966473521.9432999664735
38-16-23.46606829829017.46606829829015
39-22-23.06318693424011.06318693424014
40-32-22.5260117821735-9.47398821782653
41-30-22.9288931462235-7.07110685377652
42-32-22.3917179941568-9.6082820058432
43-38-22.5260117821735-15.4739882178265
44-41-22.5260117821735-18.4739882178265
45-46-22.3917179941568-23.6082820058432
46-58-22.5260117821735-35.4739882178265
47-55-22.9288931462235-32.0711068537765
48-48-23.7346558743235-24.2653441256765
49-58-23.7346558743235-34.2653441256765
50-58-24.6747123904401-33.3252876095599
51-68-24.6747123904401-43.3252876095599
52-75-26.9577067867235-48.0422932132765
53-77-27.7634695148235-49.2365304851765
54-75-28.5692322429235-46.4307677570765
55-71-28.7035260309402-42.2964739690598
56-63-28.8378198189568-34.1621801810432
57-61-30.1807576991235-30.8192423008765
58-53-31.1208142152402-21.8791857847598
59-41-31.1208142152402-9.8791857847598
60-35-32.1951645193735-2.80483548062646
61-33-32.0608707313569-0.939129268643131


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
50.0007578892844085720.001515778568817140.999242110715591
60.002078794132275220.004157588264550450.997921205867725
70.0003275181736435450.0006550363472870890.999672481826356
80.0008547156041373540.001709431208274710.999145284395863
90.001084247579507290.002168495159014570.998915752420493
100.0003375309194771690.0006750618389543380.999662469080523
110.0001167857095644230.0002335714191288450.999883214290436
122.93879602855256e-055.87759205710513e-050.999970612039714
131.70641417713899e-053.41282835427797e-050.999982935858229
146.35032678563016e-061.27006535712603e-050.999993649673214
151.53772889845019e-063.07545779690038e-060.999998462271102
161.07792116912813e-062.15584233825625e-060.99999892207883
173.98613206632468e-077.97226413264937e-070.999999601386793
181.10734842006491e-072.21469684012982e-070.999999889265158
192.91644889984556e-085.83289779969112e-080.99999997083551
207.85541257812095e-081.57108251562419e-070.999999921445874
216.70688801262593e-081.34137760252519e-070.99999993293112
221.33408435287851e-062.66816870575703e-060.999998665915647
231.58899846053650e-063.17799692107301e-060.99999841100154
243.19133979311066e-066.38267958622131e-060.999996808660207
251.00780255420579e-052.01560510841157e-050.999989921974458
261.14931161308352e-052.29862322616704e-050.99998850688387
277.51636571093336e-061.50327314218667e-050.99999248363429
281.15509157692112e-052.31018315384223e-050.99998844908423
291.31374482572945e-052.6274896514589e-050.999986862551743
301.97956059912904e-053.95912119825809e-050.999980204394009
315.35162485396946e-050.0001070324970793890.99994648375146
329.97889260621418e-050.0001995778521242840.999900211073938
330.0002512887859675080.0005025775719350160.999748711214032
340.0008761657183100330.001752331436620070.99912383428169
350.002277325945182550.00455465189036510.997722674054818
360.005599406340163680.01119881268032740.994400593659836
370.02159340041974790.04318680083949570.978406599580252
380.07473497960792340.1494699592158470.925265020392077
390.1518773899640570.3037547799281140.848122610035943
400.2170581252136730.4341162504273460.782941874786327
410.2806380105385650.561276021077130.719361989461435
420.3549990606118930.7099981212237870.645000939388107
430.4178661353516340.8357322707032690.582133864648366
440.4853381547880140.9706763095760280.514661845211986
450.5440573726286480.9118852547427050.455942627371352
460.5605595760097810.8788808479804380.439440423990219
470.581357033517820.837285932964360.41864296648218
480.710331381060840.5793372378783210.289668618939161
490.8072868803654910.3854262392690170.192713119634509
500.9357920723170040.1284158553659930.0642079276829964
510.9984227046467820.003154590706436050.00157729535321802
520.9994899686775440.001020062644912360.00051003132245618
530.9990414917088420.001917016582315620.00095850829115781
540.997634415388480.00473116922303820.0023655846115191
550.9918435319582580.01631293608348470.00815646804174236
560.987146578199660.02570684360067860.0128534218003393


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level350.673076923076923NOK
5% type I error level390.75NOK
10% type I error level390.75NOK
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Nov/21/t1258814091r751jp843emcme4/10i4eg1258813962.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/21/t1258814091r751jp843emcme4/10i4eg1258813962.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/21/t1258814091r751jp843emcme4/1rgxq1258813962.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/21/t1258814091r751jp843emcme4/1rgxq1258813962.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/21/t1258814091r751jp843emcme4/2zduk1258813962.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/21/t1258814091r751jp843emcme4/2zduk1258813962.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/21/t1258814091r751jp843emcme4/3qg521258813962.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/21/t1258814091r751jp843emcme4/3qg521258813962.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/21/t1258814091r751jp843emcme4/4ki4m1258813962.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/21/t1258814091r751jp843emcme4/4ki4m1258813962.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/21/t1258814091r751jp843emcme4/58rev1258813962.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/21/t1258814091r751jp843emcme4/58rev1258813962.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/21/t1258814091r751jp843emcme4/698oy1258813962.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/21/t1258814091r751jp843emcme4/698oy1258813962.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/21/t1258814091r751jp843emcme4/7wcer1258813962.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/21/t1258814091r751jp843emcme4/7wcer1258813962.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/21/t1258814091r751jp843emcme4/8yz8d1258813962.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/21/t1258814091r751jp843emcme4/8yz8d1258813962.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/21/t1258814091r751jp843emcme4/9rx8w1258813962.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/21/t1258814091r751jp843emcme4/9rx8w1258813962.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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