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*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: Thu, 26 Nov 2009 08:09:05 -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/26/t125924840984hsfqgyo71myi1.htm/, Retrieved Thu, 26 Nov 2009 16:13:41 +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/26/t125924840984hsfqgyo71myi1.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 «
15991.2 0 16704.4 17420.4 17872 17823.2 15583.6 0 15991.2 16704.4 17420.4 17872 19123.5 0 15583.6 15991.2 16704.4 17420.4 17838.7 0 19123.5 15583.6 15991.2 16704.4 17209.4 0 17838.7 19123.5 15583.6 15991.2 18586.5 0 17209.4 17838.7 19123.5 15583.6 16258.1 0 18586.5 17209.4 17838.7 19123.5 15141.6 0 16258.1 18586.5 17209.4 17838.7 19202.1 0 15141.6 16258.1 18586.5 17209.4 17746.5 0 19202.1 15141.6 16258.1 18586.5 19090.1 1 17746.5 19202.1 15141.6 16258.1 18040.3 1 19090.1 17746.5 19202.1 15141.6 17515.5 1 18040.3 19090.1 17746.5 19202.1 17751.8 1 17515.5 18040.3 19090.1 17746.5 21072.4 1 17751.8 17515.5 18040.3 19090.1 17170 1 21072.4 17751.8 17515.5 18040.3 19439.5 1 17170 21072.4 17751.8 17515.5 19795.4 1 19439.5 17170 21072.4 17751.8 17574.9 1 19795.4 19439.5 17170 21072.4 16165.4 1 17574.9 19795.4 19439.5 17170 19464.6 1 16165.4 17574.9 19795.4 19439.5 19932.1 1 19464.6 16165.4 17574.9 19795.4 19961.2 1 19932.1 19464.6 16165.4 17574.9 17343.4 1 19961.2 19932.1 19464.6 16165.4 1892 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 time4 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


Multiple Linear Regression - Estimated Regression Equation
Y[t] = + 3086.07012968317 + 1029.87773295181X[t] + 0.349104238294711Y1[t] + 0.244365087497713Y2[t] + 0.335553698868969Y3[t] -0.331113011041976Y4[t] + 3112.6595004969M1[t] + 3772.75130059336M2[t] + 6074.5867318478M3[t] + 3017.52005227921M4[t] + 3327.18125048565M5[t] + 4366.06517737135M6[t] + 3452.46890980666M7[t] + 1033.45678168423M8[t] + 5183.76502098402M9[t] + 5750.95578491961M10[t] + 3520.34574469702M11[t] + 8.64931994290336t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)3086.070129683172743.3672151.12490.2676780.133839
X1029.87773295181530.1115951.94280.0594820.029741
Y10.3491042382947110.1542312.26350.0293980.014699
Y20.2443650874977130.1579671.54690.1301670.065083
Y30.3355536988689690.1497862.24020.0310040.015502
Y4-0.3311130110419760.158431-2.08990.0433680.021684
M13112.65950049691032.3437293.01510.004560.00228
M23772.751300593361128.1041943.34430.0018640.000932
M36074.58673184781043.8123315.81961e-061e-06
M43017.52005227921915.161743.29730.0021240.001062
M53327.18125048565860.2240783.86780.0004170.000209
M64366.06517737135832.9423495.24176e-063e-06
M73452.468909806661027.1517333.36120.0017790.00089
M81033.45678168423861.2547951.19990.2375890.118795
M95183.765020984021064.6990084.86882e-051e-05
M105750.955784919611254.2653284.58514.8e-052.4e-05
M113520.345744697021065.2627113.30470.0020810.001041
t8.6493199429033611.2983990.76550.4486820.224341


Multiple Linear Regression - Regression Statistics
Multiple R0.900217706946649
R-squared0.810391919900283
Adjusted R-squared0.725567252487252
F-TEST (value)9.55372941168509
F-TEST (DF numerator)17
F-TEST (DF denominator)38
p-value5.256585167146e-09
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1119.19048751641
Sum Squared Residuals47598319.1991945


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
115991.216391.4156463212-400.215646321166
215583.616468.5158556123-884.9158556123
319123.518371.6987262737751.801273726272
417838.716457.23226799611381.46773200386
517209.417291.4197458337-82.0197458337296
618586.519128.0896330134-541.58963301338
716258.116946.8888422906-688.788842290593
815141.614274.4369415472867.163058452755
919202.118145.10036556541056.99963443461
1017746.518628.3656288960-881.86562889595
1119090.118316.6887802137773.41121978631
1218040.316650.55445975651389.74554024352
1317515.517900.7862369868-385.286236986817
1417751.819062.6010325871-1310.80103258706
1521072.420530.188602666542.211397333997
161717018870.2541047229-1700.25410472288
1719439.518890.7184001334548.78159986659
1819795.420812.9310062759-1017.53100627586
1917574.918177.8582042070-602.958204206977
2016165.417132.9535034078-967.553503407808
2119464.619625.1985448531-160.598544853142
2219932.120145.4306319171-213.330631917135
2319961.219155.1589421756806.041057824427
2417343.417341.62468153321.77531846682331
2518924.218620.6227592028303.577240797171
2618574.119056.4982130619-482.398213061923
2721350.620743.0060392282607.593960771834
2818594.619975.5553075725-1380.95530757255
2919832.119369.3134125899462.786587410122
3020844.421222.9804832400-378.580483239975
3119640.219129.7122825814510.487717418572
3217735.417874.1240895034-138.724089503373
3319813.621003.7721154782-1190.17211547817
342216021100.39454345931059.60545654071
3520664.319964.9751350432699.324864956807
3617877.417832.553502798544.8464972014501
3720906.519714.67099964321191.82900035679
3821164.119481.05146904651683.0485309535
3921374.422181.7628858054-807.362885805437
4022952.321208.91515374941743.38484625058
4121343.521212.9314384861130.568561513853
4223899.322069.68168953661829.61831046341
4322392.922123.6779166053269.222083394673
4418274.118749.6707636218-475.570763621771
4522786.722492.9289741033293.771025896705
4622321.522285.909195727635.5908042723698
4717842.220120.9771425675-2278.77714256754
4816373.517809.8673559118-1436.36735591179
4915933.816643.7043578460-709.904357845976
5016446.115451.0334296922995.066570307783
511772918823.2437460267-1094.24374602666
521664316686.643165959-43.6431659590128
5316196.717256.8170029568-1060.11700295684
5418252.118144.0171879342108.082812065807
5517570.417058.3627543157512.037245684324
5615836.815122.1147019198714.685298080195


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
210.4206649518624920.8413299037249830.579335048137508
220.2628729724207080.5257459448414150.737127027579292
230.1514714661313260.3029429322626520.848528533868674
240.1156009142937220.2312018285874450.884399085706278
250.05982306854686920.1196461370937380.940176931453131
260.05893039831502850.1178607966300570.941069601684972
270.04683914833030590.09367829666061190.953160851669694
280.06594033316398680.1318806663279740.934059666836013
290.03762956364884610.07525912729769220.962370436351154
300.02868472192646540.05736944385293070.971315278073535
310.04323941020910160.08647882041820330.956760589790898
320.0470012462023080.0940024924046160.952998753797692
330.08502062727344120.1700412545468820.914979372726559
340.1669144362033080.3338288724066150.833085563796692
350.1169503491478590.2339006982957170.883049650852141


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 level50.333333333333333NOK
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Nov/26/t125924840984hsfqgyo71myi1/10radi1259248140.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/26/t125924840984hsfqgyo71myi1/10radi1259248140.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/26/t125924840984hsfqgyo71myi1/1cmt71259248140.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/26/t125924840984hsfqgyo71myi1/1cmt71259248140.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/26/t125924840984hsfqgyo71myi1/2j14r1259248140.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/26/t125924840984hsfqgyo71myi1/2j14r1259248140.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/26/t125924840984hsfqgyo71myi1/341231259248140.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/26/t125924840984hsfqgyo71myi1/341231259248140.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/26/t125924840984hsfqgyo71myi1/4pesa1259248140.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/26/t125924840984hsfqgyo71myi1/4pesa1259248140.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/26/t125924840984hsfqgyo71myi1/5wfwr1259248140.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/26/t125924840984hsfqgyo71myi1/5wfwr1259248140.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/26/t125924840984hsfqgyo71myi1/6r5mz1259248140.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/26/t125924840984hsfqgyo71myi1/6r5mz1259248140.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/26/t125924840984hsfqgyo71myi1/7uent1259248140.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/26/t125924840984hsfqgyo71myi1/7uent1259248140.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/26/t125924840984hsfqgyo71myi1/8nxwz1259248140.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/26/t125924840984hsfqgyo71myi1/8nxwz1259248140.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/26/t125924840984hsfqgyo71myi1/9w4l91259248140.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/26/t125924840984hsfqgyo71myi1/9w4l91259248140.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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