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w7

*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, 27 Nov 2009 07:37:35 -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/27/t1259332784fkcreymvm1l8d7k.htm/, Retrieved Fri, 27 Nov 2009 15:39:56 +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/27/t1259332784fkcreymvm1l8d7k.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 «
286602 0 283042 0 276687 0 277915 0 277128 0 277103 0 275037 0 270150 0 267140 0 264993 0 287259 0 291186 0 292300 0 288186 0 281477 0 282656 0 280190 0 280408 0 276836 0 275216 0 274352 0 271311 0 289802 0 290726 0 292300 0 278506 0 269826 0 265861 0 269034 0 264176 0 255198 0 253353 0 246057 0 235372 0 258556 0 260993 0 254663 0 250643 0 243422 0 247105 0 248541 0 245039 1 237080 1 237085 1 225554 1 226839 1 247934 1 248333 1 246969 1 245098 1 246263 1 255765 1 264319 1 268347 1 273046 1 273963 1 267430 1 271993 1 292710 1 295881 1
 
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] = + 271007.512195122 -14710.2490372272X[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)271007.5121951222614.882845103.640400
X-14710.24903722724646.768756-3.16570.0024660.001233


Multiple Linear Regression - Regression Statistics
Multiple R0.383835800700486
R-squared0.147329921899383
Adjusted R-squared0.132628713656269
F-TEST (value)10.0216199555156
F-TEST (DF numerator)1
F-TEST (DF denominator)58
p-value0.00246565947210309
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation16743.4197223495
Sum Squared Residuals16259842031.9281


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1286602271007.51219512215594.4878048784
2283042271007.51219512212034.487804878
3276687271007.5121951225679.48780487804
4277915271007.5121951226907.48780487804
5277128271007.5121951226120.48780487804
6277103271007.5121951226095.48780487804
7275037271007.5121951224029.48780487804
8270150271007.512195122-857.512195121959
9267140271007.512195122-3867.51219512196
10264993271007.512195122-6014.51219512196
11287259271007.51219512216251.4878048780
12291186271007.51219512220178.4878048780
13292300271007.51219512221292.4878048780
14288186271007.51219512217178.4878048780
15281477271007.51219512210469.4878048780
16282656271007.51219512211648.4878048780
17280190271007.5121951229182.48780487804
18280408271007.5121951229400.48780487804
19276836271007.5121951225828.48780487804
20275216271007.5121951224208.48780487804
21274352271007.5121951223344.48780487804
22271311271007.512195122303.487804878041
23289802271007.51219512218794.4878048780
24290726271007.51219512219718.4878048780
25292300271007.51219512221292.4878048780
26278506271007.5121951227498.48780487804
27269826271007.512195122-1181.51219512196
28265861271007.512195122-5146.51219512196
29269034271007.512195122-1973.51219512196
30264176271007.512195122-6831.51219512196
31255198271007.512195122-15809.5121951220
32253353271007.512195122-17654.5121951220
33246057271007.512195122-24950.5121951220
34235372271007.512195122-35635.5121951220
35258556271007.512195122-12451.5121951220
36260993271007.512195122-10014.5121951220
37254663271007.512195122-16344.5121951220
38250643271007.512195122-20364.5121951220
39243422271007.512195122-27585.5121951220
40247105271007.512195122-23902.5121951220
41248541271007.512195122-22466.5121951220
42245039256297.263157895-11258.2631578947
43237080256297.263157895-19217.2631578947
44237085256297.263157895-19212.2631578947
45225554256297.263157895-30743.2631578947
46226839256297.263157895-29458.2631578947
47247934256297.263157895-8363.26315789474
48248333256297.263157895-7964.26315789474
49246969256297.263157895-9328.26315789474
50245098256297.263157895-11199.2631578947
51246263256297.263157895-10034.2631578947
52255765256297.263157895-532.263157894737
53264319256297.2631578958021.73684210526
54268347256297.26315789512049.7368421053
55273046256297.26315789516748.7368421053
56273963256297.26315789517665.7368421053
57267430256297.26315789511132.7368421053
58271993256297.26315789515695.7368421053
59292710256297.26315789536412.7368421053
60295881256297.26315789539583.7368421053


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
50.03237214538867920.06474429077735840.96762785461132
60.009255014940689980.01851002988138000.99074498505931
70.003327274467141810.006654548934283630.996672725532858
80.003170821862484860.006341643724969720.996829178137515
90.003794697612090720.007589395224181430.99620530238791
100.00440713298008920.00881426596017840.99559286701991
110.00471171741448630.00942343482897260.995288282585514
120.007460744022270140.01492148804454030.99253925597773
130.01046772522038100.02093545044076210.989532274779619
140.008158824395526170.01631764879105230.991841175604474
150.004207004073535050.00841400814707010.995792995926465
160.002222219569278210.004444439138556410.997777780430722
170.001078600563500600.002157201127001210.9989213994365
180.0005188971365866960.001037794273173390.999481102863413
190.0002485583478750740.0004971166957501490.999751441652125
200.0001241108738015920.0002482217476031840.999875889126198
216.36529473784436e-050.0001273058947568870.999936347052622
224.0296256974876e-058.0592513949752e-050.999959703743025
235.99399760879928e-050.0001198799521759860.999940060023912
240.0001111807356204430.0002223614712408860.99988881926438
250.0003081688939835990.0006163377879671980.999691831106016
260.0002327751752989060.0004655503505978130.999767224824701
270.0002390957229278840.0004781914458557690.999760904277072
280.0003377043325877450.000675408665175490.999662295667412
290.0003514002198082510.0007028004396165020.999648599780192
300.0005141430153252880.001028286030650580.999485856984675
310.001688874139917810.003377748279835610.998311125860082
320.004293685735298610.008587371470597220.995706314264701
330.01497575240724560.02995150481449110.985024247592754
340.07641566884376830.1528313376875370.923584331156232
350.0682043474287610.1364086948575220.931795652571239
360.05894586346856620.1178917269371320.941054136531434
370.0555988663528570.1111977327057140.944401133647143
380.0561331533251130.1122663066502260.943866846674887
390.06857614934849790.1371522986969960.931423850651502
400.06772523120437230.1354504624087450.932274768795628
410.06134062431959820.1226812486391960.938659375680402
420.04462834546440130.08925669092880260.955371654535599
430.04070065691297510.08140131382595020.959299343087025
440.03870433984029380.07740867968058760.961295660159706
450.08090463127187880.1618092625437580.919095368728121
460.1872543776871680.3745087553743360.812745622312832
470.1839875446782640.3679750893565280.816012455321736
480.1849633325111860.3699266650223710.815036667488815
490.2088667184151230.4177334368302460.791133281584877
500.2944413302094950.588882660418990.705558669790505
510.470954607964610.941909215929220.52904539203539
520.5638972632736290.8722054734527410.436102736726371
530.5541079769812480.8917840460375030.445892023018752
540.4999658670944130.9999317341888260.500034132905587
550.3918607101369050.783721420273810.608139289863095


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level230.450980392156863NOK
5% type I error level280.549019607843137NOK
10% type I error level320.627450980392157NOK
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Nov/27/t1259332784fkcreymvm1l8d7k/108cjr1259332650.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t1259332784fkcreymvm1l8d7k/108cjr1259332650.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/27/t1259332784fkcreymvm1l8d7k/1kx001259332650.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t1259332784fkcreymvm1l8d7k/1kx001259332650.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/27/t1259332784fkcreymvm1l8d7k/28z961259332650.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t1259332784fkcreymvm1l8d7k/28z961259332650.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/27/t1259332784fkcreymvm1l8d7k/30sfh1259332650.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t1259332784fkcreymvm1l8d7k/30sfh1259332650.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/27/t1259332784fkcreymvm1l8d7k/4o1uk1259332650.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t1259332784fkcreymvm1l8d7k/4o1uk1259332650.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/27/t1259332784fkcreymvm1l8d7k/52zuo1259332650.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t1259332784fkcreymvm1l8d7k/52zuo1259332650.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/27/t1259332784fkcreymvm1l8d7k/69o881259332650.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t1259332784fkcreymvm1l8d7k/69o881259332650.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/27/t1259332784fkcreymvm1l8d7k/77t1b1259332650.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t1259332784fkcreymvm1l8d7k/77t1b1259332650.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/27/t1259332784fkcreymvm1l8d7k/8bwtl1259332650.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t1259332784fkcreymvm1l8d7k/8bwtl1259332650.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/27/t1259332784fkcreymvm1l8d7k/9d3du1259332650.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t1259332784fkcreymvm1l8d7k/9d3du1259332650.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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