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WS8

*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: Wed, 01 Dec 2010 15:54:43 +0000
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Dec/01/t1291218772kviepxyr0fh57aw.htm/, Retrieved Wed, 01 Dec 2010 16:53:05 +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/2010/Dec/01/t1291218772kviepxyr0fh57aw.htm/},
    year = {2010},
}
@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 = {2010},
    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 «
102.86 102.38 102.37 101.76 102.87 102.86 102.38 102.37 102.92 102.87 102.86 102.38 102.95 102.92 102.87 102.86 103.02 102.95 102.92 102.87 104.08 103.02 102.95 102.92 104.16 104.08 103.02 102.95 104.24 104.16 104.08 103.02 104.33 104.24 104.16 104.08 104.73 104.33 104.24 104.16 104.86 104.73 104.33 104.24 105.03 104.86 104.73 104.33 105.62 105.03 104.86 104.73 105.63 105.62 105.03 104.86 105.63 105.63 105.62 105.03 105.94 105.63 105.63 105.62 106.61 105.94 105.63 105.63 107.69 106.61 105.94 105.63 107.78 107.69 106.61 105.94 107.93 107.78 107.69 106.61 108.48 107.93 107.78 107.69 108.14 108.48 107.93 107.78 108.48 108.14 108.48 107.93 108.48 108.48 108.14 108.48 108.89 108.48 108.48 108.14 108.93 108.89 108.48 108.48 109.21 108.93 108.89 108.48 109.47 109.21 108.93 108.89 109.80 109.47 109.21 108.93 111.73 109.80 109.47 109.21 111.85 111.73 109.80 109.47 112.12 111.85 111.73 109.80 112.15 112.12 111.85 111.73 112.17 112.15 112.12 111.85 112.67 112.17 112.15 112.12 112.80 11 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 time7 seconds
R Server'George Udny Yule' @ 72.249.76.132


Multiple Linear Regression - Estimated Regression Equation
Y1[t] = + 14.2477798483089 + 0.757347311456524Y2[t] + 0.162331012991509Y3[t] -0.0605178371933855Y4[t] + 0.406078167562174M1[t] + 0.0209506478073179M2[t] + 0.198187463583214M3[t] + 0.085548437737373M4[t] + 0.238923020163978M5[t] + 1.22373482995670M6[t] + 0.319554519385561M7[t] + 0.0181348618259313M8[t] + 0.148386559720352M9[t] -0.0214456339183326M10[t] + 0.210413993094083M11[t] + 0.0490649360196856t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)14.24777984830896.1746732.30750.0264240.013212
Y20.7573473114565240.1583094.7842.5e-051.2e-05
Y30.1623310129915090.2022960.80240.4271590.213579
Y4-0.06051783719338550.154901-0.39070.6981550.349077
M10.4060781675621740.1665282.43850.0194040.009702
M20.02095064780731790.1570010.13340.894530.447265
M30.1981874635832140.1745621.13530.2631610.13158
M40.0855484377373730.1534160.55760.5802870.290144
M50.2389230201639780.1625061.47020.1495180.074759
M61.223734829956700.1557927.854900
M70.3195545193855610.2285851.3980.1700230.085012
M80.01813486182593130.2708970.06690.9469680.473484
M90.1483865597203520.1688440.87880.3848710.192436
M10-0.02144563391833260.164159-0.13060.8967320.448366
M110.2104139930940830.1687371.2470.2198360.109918
t0.04906493601968560.0203152.41530.0205110.010255


Multiple Linear Regression - Regression Statistics
Multiple R0.999350423129952
R-squared0.998701268210013
Adjusted R-squared0.998201755983095
F-TEST (value)1999.35299756731
F-TEST (DF numerator)15
F-TEST (DF denominator)39
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.228410216986260
Sum Squared Residuals2.03467786172471


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1102.86102.6996713859510.160328614048589
2102.87102.6918429411570.178157058842567
3102.92103.003031873932-0.083031873931566
4102.95102.9498998979550.000100102044675913
5103.02103.182571208023-0.162571208022959
6104.08104.271306304167-0.191306304167390
7104.16104.228526715553-0.0685267155534605
8104.24104.2045944040970.035405595902498
9104.33104.393336396542-0.0633363965424573
10104.73104.3488754510180.381124548981608
11104.86104.942507302827-0.082507302826877
12105.03104.9390991960910.0909008039089777
13105.62105.5198872394320.100112760567971
14105.63105.650388522830-0.0203885228296365
15105.63105.969751013082-0.339751013081892
16105.94105.8720947094420.0679052905584503
17106.61106.3087067160670.301293283932571
18107.69107.900328774583-0.210328774583076
19107.78107.953149745579-0.173149745579029
20107.93107.9037268251810.0262731748185706
21108.48108.1458960828140.334103917185598
22108.14108.460572893098-0.320572893097814
23108.48108.564203751801-0.0842037518010124
24108.48108.571875425748-0.0918754257483607
25108.89109.102787138393-0.212787138393088
26108.93109.056660887709-0.126660887709332
27109.21109.379812247290-0.169812247289711
28109.47109.509976331942-0.0399763319417409
29109.8109.952358121517-0.152358121516618
30111.73111.2614205490730.468579450926687
31111.85111.905820082250-0.0558200822498856
32112.12112.0376750068850.082324993115497
33112.15112.324155710668-0.174155710667622
34112.17112.262676105437-0.0926761054368275
35112.67112.5472777290460.122722270954414
36112.8112.7660334128430.0339665871565164
37113.44113.3995868166670.0404131833334258
38113.53113.539070625356-0.00907062535577818
39114.53113.9295581646620.600441835338124
40114.51114.599209761658-0.0892097616577106
41115.05114.9433867415190.106613258481015
42116.67116.3224665780650.347533421935313
43117.07116.7831229518320.286877048167902
44116.92117.064003763837-0.144003763836566
45117117.096611809976-0.096611809975519
46117.02116.9878755504470.0321244495530341
47117.35117.3060112163270.0439887836734760
48117.36117.392991965317-0.032991965317133
49117.82117.908067419557-0.0880674195568973
50117.88117.902037022948-0.0220370229478196
51118.24118.247846701035-0.00784670103495437
52118.5118.4388192990040.0611807009963253
53118.8118.892977212874-0.0929772128740093
54119.76120.174477794112-0.414477794111534
55120.09120.0793805047860.0106194952144724


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
190.4754058883421190.9508117766842370.524594111657881
200.3068296240362660.6136592480725320.693170375963734
210.3046061357154420.6092122714308840.695393864284558
220.702000311522310.595999376955380.29799968847769
230.6330234032273570.7339531935452870.366976596772644
240.5177162838643920.9645674322712160.482283716135608
250.4934902938874770.9869805877749530.506509706112523
260.4063017736052890.8126035472105770.593698226394711
270.5727273791399110.8545452417201790.427272620860089
280.6459133186142880.7081733627714250.354086681385712
290.9043950738857350.1912098522285300.0956049261142649
300.968346810328770.063306379342460.03165318967123
310.960635555100260.07872888979947980.0393644448997399
320.9424104514365380.1151790971269240.0575895485634621
330.8934440894085150.213111821182970.106555910591485
340.8037778941769780.3924442116460450.196222105823022
350.7323086477319840.5353827045360320.267691352268016
360.5675183980494280.8649632039011450.432481601950572


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 level20.111111111111111NOK
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Dec/01/t1291218772kviepxyr0fh57aw/10w6h81291218875.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/01/t1291218772kviepxyr0fh57aw/10w6h81291218875.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/01/t1291218772kviepxyr0fh57aw/1ie101291218875.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/01/t1291218772kviepxyr0fh57aw/1ie101291218875.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/01/t1291218772kviepxyr0fh57aw/2ie101291218875.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/01/t1291218772kviepxyr0fh57aw/2ie101291218875.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/01/t1291218772kviepxyr0fh57aw/3ie101291218875.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/01/t1291218772kviepxyr0fh57aw/3ie101291218875.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/01/t1291218772kviepxyr0fh57aw/4t50l1291218875.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/01/t1291218772kviepxyr0fh57aw/4t50l1291218875.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/01/t1291218772kviepxyr0fh57aw/5t50l1291218875.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/01/t1291218772kviepxyr0fh57aw/5t50l1291218875.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/01/t1291218772kviepxyr0fh57aw/6t50l1291218875.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/01/t1291218772kviepxyr0fh57aw/6t50l1291218875.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/01/t1291218772kviepxyr0fh57aw/7mfz61291218875.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/01/t1291218772kviepxyr0fh57aw/7mfz61291218875.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/01/t1291218772kviepxyr0fh57aw/8w6h81291218875.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/01/t1291218772kviepxyr0fh57aw/8w6h81291218875.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/01/t1291218772kviepxyr0fh57aw/9w6h81291218875.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/01/t1291218772kviepxyr0fh57aw/9w6h81291218875.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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