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Model 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: Thu, 19 Nov 2009 14:16:20 -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/19/t1258665473785sosjwpmbi5se.htm/, Retrieved Thu, 19 Nov 2009 22:18:04 +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/19/t1258665473785sosjwpmbi5se.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 «
4.3 96.2 4.1 96.8 3.9 109.9 3.8 88 3.7 91.1 3.7 106.4 4.1 68.6 4.1 100.1 3.8 108 3.7 106 3.5 108.6 3.6 91.5 4.1 99.2 3.8 98 3.7 96.6 3.6 102.8 3.3 96.9 3.4 110 3.7 70.5 3.7 101.9 3.4 109.6 3.3 107.8 3 113 3 93.8 3.3 108 3 102.8 2.9 116.3 2.8 89.2 2.5 106.7 2.6 112.1 2.8 74.2 2.7 108.8 2.4 111.5 2.2 118.8 2.1 118.9 2.1 97.6 2.3 116.4 2.1 107.9 2 121.2 1.9 97.9 1.7 113.4 1.8 117.6 2.1 79.6 2 115.9 1.8 115.7 1.7 129.1 1.6 123.3 1.6 96.7 1.8 121.2 1.7 118.2 1.7 102.1 1.5 125.4 1.5 116.7 1.5 121.3 1.8 85.3 1.8 114.2 1.7 124.4 1.7 131 1.8 118.3 2 99.6
 
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


Multiple Linear Regression - Estimated Regression Equation
unempl[t] = + 5.27350954525389 -0.0126416256269494proman[t] + 0.366770003948042M1[t] + 0.147528205533444M2[t] + 0.148660914596817M3[t] -0.0350531745152288M4[t] -0.116195958064706M5[t] + 0.0960089185315434M6[t] -0.0378519689375812M7[t] + 0.378004755217993M8[t] + 0.254054582521167M9[t] + 0.257968449222469M10[t] + 0.155666429147978M11[t] -0.0444982262546406t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)5.273509545253890.5340879.873900
proman-0.01264162562694940.006315-2.00180.0512270.025614
M10.3667700039480420.1863941.96770.0551470.027573
M20.1475282055334440.1737590.8490.4002570.200128
M30.1486609145968170.1869550.79520.4305980.215299
M4-0.03505317451522880.161555-0.2170.8291890.414594
M5-0.1161959580647060.170646-0.68090.4993380.249669
M60.09600891853154340.1984140.48390.6307650.315383
M7-0.03785196893758120.191981-0.19720.8445670.422284
M80.3780047552179930.176452.14230.0374980.018749
M90.2540545825211670.195091.30220.1993160.099658
M100.2579684492224690.2130321.21090.2321040.116052
M110.1556664291479780.2023440.76930.4456370.222819
t-0.04449822625464060.003026-14.706300


Multiple Linear Regression - Regression Statistics
Multiple R0.971427086516528
R-squared0.94367058441799
Adjusted R-squared0.92775140175351
F-TEST (value)59.2788338639719
F-TEST (DF numerator)13
F-TEST (DF denominator)46
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.241960821749243
Sum Squared Residuals2.69307180603216


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
14.34.37965693763479-0.0796569376347907
24.14.10833193758935-0.00833193758935118
33.93.899361124685050.000638875314950401
43.83.94800041054855-0.148000410548554
53.73.78317036130089-0.0831703613008928
63.73.75746013955018-0.057460139550176
74.14.05695447452510.0430455254749015
84.14.030101765177130.0698982348228741
93.83.761784523772760.0382154762272423
103.73.74648341547332-0.0464834154733195
113.53.56681494251412-0.0668149425141187
123.63.582822085332340.0171779146676650
134.13.807753345698220.292246654301775
143.83.559183271781330.240816728218674
153.73.533516030467790.166483969532212
163.63.226925636214020.373074363785985
173.33.17587021760890.124129782391101
183.43.177971572237470.222028427762529
193.73.498956670778210.201043329221793
203.73.473368123992930.226631876007071
213.43.207579207713950.192420792286047
223.33.189749774289120.110250225710876
2332.977213074699850.022786925300146
2433.01976763133466-0.0197676313346639
253.33.162528325125380.137471674874616
2632.964524753716280.035475246283718
272.92.75049729056120.149502709438802
282.82.86487302968484-0.0648730296848397
292.52.51800357140911-0.0180035714091081
302.62.61744544336519-0.0174454433651901
312.82.91820394090281-0.118203940902807
322.72.85216219211129-0.152162192111291
332.42.64958140396706-0.249581403967062
342.22.51671317733699-0.316713177336993
352.12.36864876844517-0.268648768445165
362.12.43775073889657-0.337750738896569
372.32.52235995480332-0.222359954803322
382.12.36607374796315-0.266073747963153
3922.15457460993346-0.154574609933459
401.92.22091217167469-0.320912171674693
411.71.89932596465286-0.19932596465286
421.82.01393778736128-0.213937787361281
432.12.31596044746159-0.215960447461593
4422.22842793510426-0.228427935104264
451.82.06250786127819-0.262507861278187
461.71.85252571832373-0.152525718323727
471.61.7790469006309-0.179046900630901
481.61.91514948690514-0.315149486905136
491.81.92770143673828-0.127701436738278
501.71.70188628894989-0.00188628894988755
511.71.86205094435251-0.162050944352505
521.51.339288751877900.160711248122102
531.51.323629885028240.17637011497176
541.51.433185057485880.0668149425141189
551.81.709924466332300.090075533667705
561.81.715939983614390.0840600163856097
571.71.418547003268040.281452996731960
581.71.294527914576840.405472085423163
591.81.308276313709960.491723686290039
6021.344510057531300.655489942468704


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
170.02367472835283510.04734945670567010.976325271647165
180.005696191037369950.01139238207473990.99430380896263
190.003142603253888350.006285206507776690.996857396746112
200.00157817627187270.00315635254374540.998421823728127
210.0007512908832666640.001502581766533330.999248709116733
220.0003111785357947320.0006223570715894630.999688821464205
230.0003078868773524750.0006157737547049510.999692113122647
240.0007586627362637020.001517325472527400.999241337263736
250.004902881759901240.009805763519802480.995097118240099
260.01516974093097480.03033948186194950.984830259069025
270.02498922382272630.04997844764545270.975010776177274
280.04068347817314180.08136695634628350.959316521826858
290.05326913889535460.1065382777907090.946730861104645
300.08754588551256770.1750917710251350.912454114487432
310.1785072759305180.3570145518610360.821492724069482
320.3672345792190250.734469158438050.632765420780975
330.4954330920535720.9908661841071430.504566907946428
340.5347150979765110.9305698040469780.465284902023489
350.4883566254935120.9767132509870250.511643374506488
360.4404501429088680.8809002858177370.559549857091132
370.4943203795430810.9886407590861620.505679620456919
380.4752597747191810.9505195494383630.524740225280819
390.5823879434887190.8352241130225630.417612056511281
400.4872443495589290.9744886991178580.512755650441071
410.376970895768280.753941791536560.62302910423172
420.3377185971179640.6754371942359270.662281402882037
430.3229813289991800.6459626579983590.67701867100082


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level70.259259259259259NOK
5% type I error level110.407407407407407NOK
10% type I error level120.444444444444444NOK
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Nov/19/t1258665473785sosjwpmbi5se/100ofd1258665376.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/19/t1258665473785sosjwpmbi5se/100ofd1258665376.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/19/t1258665473785sosjwpmbi5se/1oqon1258665376.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/19/t1258665473785sosjwpmbi5se/1oqon1258665376.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/19/t1258665473785sosjwpmbi5se/2fx8l1258665376.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/19/t1258665473785sosjwpmbi5se/2fx8l1258665376.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/19/t1258665473785sosjwpmbi5se/34iq31258665376.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/19/t1258665473785sosjwpmbi5se/34iq31258665376.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/19/t1258665473785sosjwpmbi5se/40aj91258665376.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/19/t1258665473785sosjwpmbi5se/40aj91258665376.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/19/t1258665473785sosjwpmbi5se/5qan61258665376.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/19/t1258665473785sosjwpmbi5se/5qan61258665376.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/19/t1258665473785sosjwpmbi5se/64hzb1258665376.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/19/t1258665473785sosjwpmbi5se/64hzb1258665376.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/19/t1258665473785sosjwpmbi5se/7fzvz1258665376.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/19/t1258665473785sosjwpmbi5se/7fzvz1258665376.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/19/t1258665473785sosjwpmbi5se/8lp361258665376.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/19/t1258665473785sosjwpmbi5se/8lp361258665376.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/19/t1258665473785sosjwpmbi5se/9iws51258665376.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/19/t1258665473785sosjwpmbi5se/9iws51258665376.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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Software written by Ed van Stee & Patrick Wessa


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