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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: Fri, 20 Nov 2009 07:16:52 -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/20/t1258726662wbi452bzmjo8g78.htm/, Retrieved Fri, 20 Nov 2009 15:17:54 +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/20/t1258726662wbi452bzmjo8g78.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 0 22 0 20 0 21 0 20 0 21 0 21 0 21 0 19 0 21 0 21 0 22 0 19 0 24 0 22 0 22 0 22 0 24 0 22 0 23 0 24 0 21 0 20 0 22 0 23 0 23 0 22 0 20 0 21 1 21 1 20 1 20 1 17 1 18 1 19 1 19 1 20 1 21 1 20 1 21 1 19 1 22 1 20 1 18 1 16 1 17 1 18 1 19 1 18 1 20 1 21 1 18 1 19 1 19 1 19 1 21 1 19 1 19 1 17 1 16 1 16 1 17 1 16 1 15 1 16 1 16 1 16 1 18 1 19 1 16 1 16 1 16 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 time3 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


Multiple Linear Regression - Estimated Regression Equation
Y[t] = + 22.15 -1.05X[t] -0.149999999999988M1[t] + 1.40833333333333M2[t] + 0.466666666666665M3[t] -0.141666666666668M4[t] + 0.091666666666664M5[t] + 1.15M6[t] + 0.374999999999999M7[t] + 0.93333333333333M8[t] -0.175000000000001M9[t] -0.450000000000001M10[t] -0.558333333333335M11[t] -0.0583333333333334t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)22.150.74571429.703100
X-1.050.711267-1.47620.1452890.072644
M1-0.1499999999999880.902221-0.16630.8685330.434267
M21.408333333333330.9008291.56340.1234050.061702
M30.4666666666666650.8997450.51870.6059680.302984
M4-0.1416666666666680.89897-0.15760.8753290.437665
M50.0916666666666640.9037030.10140.9195550.459778
M61.150.9016961.27540.2072610.103631
M70.3749999999999990.8999930.41670.6784580.339229
M80.933333333333330.8985981.03870.3032760.151638
M9-0.1750000000000010.897511-0.1950.8460870.423044
M10-0.4500000000000010.896734-0.50180.6176930.308847
M11-0.5583333333333350.896268-0.6230.5357570.267878
t-0.05833333333333340.016698-3.49340.000920.00046


Multiple Linear Regression - Regression Statistics
Multiple R0.792007423315082
R-squared0.627275758586195
Adjusted R-squared0.543734118269308
F-TEST (value)7.50854012689762
F-TEST (DF numerator)13
F-TEST (DF denominator)58
p-value2.18761772030618e-08
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.55211202048626
Sum Squared Residuals139.725


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
12221.94166666666660.0583333333334018
22223.4416666666667-1.44166666666667
32022.4416666666667-2.44166666666667
42121.775-0.775000000000002
52021.95-1.95000000000000
62122.95-1.95
72122.1166666666667-1.11666666666667
82122.6166666666667-1.61666666666667
91921.45-2.45
102121.1166666666667-0.116666666666669
112120.950.0499999999999965
122221.450.549999999999997
131921.2416666666667-2.24166666666668
142422.74166666666671.25833333333333
152221.74166666666670.258333333333333
162221.0750.924999999999997
172221.250.75
182422.251.75000000000000
192221.41666666666670.583333333333331
202321.91666666666671.08333333333333
212420.753.25
222120.41666666666670.583333333333332
232020.25-0.250000000000001
242220.751.25000000000000
252320.54166666666672.45833333333332
262322.04166666666670.958333333333332
272221.04166666666670.958333333333334
282020.375-0.375000000000001
292119.51.5
302120.50.499999999999999
312019.66666666666670.333333333333332
322020.1666666666667-0.166666666666666
331719-2
341818.6666666666667-0.666666666666668
351918.50.499999999999999
361919-2.55611504185183e-15
372018.79166666666671.20833333333332
382120.29166666666670.708333333333333
392019.29166666666670.708333333333335
402118.6252.375
411918.80.200000000000001
422219.82.2
432018.96666666666671.03333333333333
441819.4666666666667-1.46666666666667
451618.3-2.3
461717.9666666666667-0.966666666666666
471817.80.2
481918.30.699999999999999
491818.0916666666667-0.0916666666666787
502019.59166666666670.408333333333334
512118.59166666666672.40833333333334
521817.9250.0750000000000002
531918.10.900000000000002
541919.1-0.0999999999999987
551918.26666666666670.733333333333334
562118.76666666666672.23333333333334
571917.61.40000000000000
581917.26666666666671.73333333333333
591717.1-0.0999999999999988
601617.6-1.6
611617.3916666666667-1.39166666666668
621718.8916666666667-1.89166666666666
631617.8916666666667-1.89166666666666
641517.225-2.2250
651617.4-1.40000000000000
661618.4-2.40000000000000
671617.5666666666667-1.56666666666666
681818.0666666666667-0.0666666666666627
691916.92.10000000000000
701616.5666666666667-0.566666666666664
711616.4-0.399999999999997
721616.9-0.899999999999998


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
170.7879622663749680.4240754672500650.212037733625032
180.747192519687570.5056149606248590.252807480312429
190.6218528169924590.7562943660150820.378147183007541
200.5056557660324020.9886884679351950.494344233967598
210.6920851208812210.6158297582375570.307914879118779
220.6309699620329120.7380600759341760.369030037967088
230.6389809011566410.7220381976867180.361019098843359
240.5632758060820320.8734483878359350.436724193917968
250.4977814707639630.9955629415279250.502218529236037
260.4723678465837050.944735693167410.527632153416295
270.3869496070385440.7738992140770880.613050392961456
280.4480853734184540.8961707468369090.551914626581546
290.3647279790195660.7294559580391310.635272020980434
300.3001143452242980.6002286904485970.699885654775702
310.2324752486769970.4649504973539930.767524751323003
320.1864350079746260.3728700159492520.813564992025374
330.3205236004665730.6410472009331450.679476399533427
340.2937237125331040.5874474250662080.706276287466896
350.2310520343391390.4621040686782780.768947965660861
360.1838226995733050.367645399146610.816177300426695
370.1377757707962010.2755515415924030.862224229203799
380.09696070277045060.1939214055409010.90303929722955
390.06648899274851480.1329779854970300.933511007251485
400.07611473568811030.1522294713762210.92388526431189
410.05940448485177820.1188089697035560.940595515148222
420.06182112868423820.1236422573684760.938178871315762
430.04192000667903940.08384001335807880.95807999332096
440.09284947569604450.1856989513920890.907150524303955
450.5451372188407920.9097255623184160.454862781159208
460.8020195386855070.3959609226289860.197980461314493
470.824509087882260.3509818242354790.175490912117740
480.7618577692757340.4762844614485310.238142230724265
490.6968802103792760.6062395792414480.303119789620724
500.6094312920055240.7811374159889520.390568707994476
510.7466041272271320.5067917455457370.253395872772868
520.6798785999971440.6402428000057130.320121400002857
530.5943407484177040.8113185031645920.405659251582296
540.5313780179070290.9372439641859420.468621982092971
550.4571573157996150.9143146315992310.542842684200385


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 level10.0256410256410256OK
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258726662wbi452bzmjo8g78/10oxey1258726607.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258726662wbi452bzmjo8g78/10oxey1258726607.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258726662wbi452bzmjo8g78/1zjsn1258726607.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258726662wbi452bzmjo8g78/1zjsn1258726607.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258726662wbi452bzmjo8g78/213t31258726607.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258726662wbi452bzmjo8g78/213t31258726607.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258726662wbi452bzmjo8g78/3jzt01258726607.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258726662wbi452bzmjo8g78/3jzt01258726607.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258726662wbi452bzmjo8g78/43jry1258726607.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258726662wbi452bzmjo8g78/43jry1258726607.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258726662wbi452bzmjo8g78/5tggo1258726607.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258726662wbi452bzmjo8g78/5tggo1258726607.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258726662wbi452bzmjo8g78/6obl51258726607.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258726662wbi452bzmjo8g78/6obl51258726607.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258726662wbi452bzmjo8g78/7sga01258726607.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258726662wbi452bzmjo8g78/7sga01258726607.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258726662wbi452bzmjo8g78/8y7ql1258726607.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258726662wbi452bzmjo8g78/8y7ql1258726607.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258726662wbi452bzmjo8g78/9baok1258726607.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258726662wbi452bzmjo8g78/9baok1258726607.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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