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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: Wed, 18 Nov 2009 07:54:02 -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/18/t12585561557hxnh3guj007kgz.htm/, Retrieved Wed, 18 Nov 2009 15:56:07 +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/18/t12585561557hxnh3guj007kgz.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 «
7.8 2.61 7.8 8.3 8 2.26 7.8 7.8 8.6 2.41 8 7.8 8.9 2.26 8.6 8 8.9 2.03 8.9 8.6 8.6 2.86 8.9 8.9 8.3 2.55 8.6 8.9 8.3 2.27 8.3 8.6 8.3 2.26 8.3 8.3 8.4 2.57 8.3 8.3 8.5 3.07 8.4 8.3 8.4 2.76 8.5 8.4 8.6 2.51 8.4 8.5 8.5 2.87 8.6 8.4 8.5 3.14 8.5 8.6 8.5 3.11 8.5 8.5 8.5 3.16 8.5 8.5 8.5 2.47 8.5 8.5 8.5 2.57 8.5 8.5 8.5 2.89 8.5 8.5 8.5 2.63 8.5 8.5 8.5 2.38 8.5 8.5 8.5 1.69 8.5 8.5 8.5 1.96 8.5 8.5 8.6 2.19 8.5 8.5 8.4 1.87 8.6 8.5 8.1 1.6 8.4 8.6 8 1.63 8.1 8.4 8 1.22 8 8.1 8 1.21 8 8 8 1.49 8 8 7.9 1.64 8 8 7.8 1.66 7.9 8 7.8 1.77 7.8 7.9 7.9 1.82 7.8 7.8 8.1 1.78 7.9 7.8 8 1.28 8.1 7.9 7.6 1.29 8 8.1 7.3 1.37 7.6 8 7 1.12 7.3 7.6 6.8 1.51 7 7.3 7 2.24 6.8 7 7.1 2.94 7 6.8 7.2 3.09 7.1 7 7.1 3.46 7.2 7.1 6.9 3.64 7.1 7.2 6.7 4.39 6.9 7.1 6.7 4.15 6.7 6.9 6.6 5.21 6.7 6.7 6.9 5.8 6.6 6.7 7.3 5.91 6.9 6.6 7.5 5.39 7.3 6.9 7.3 5.46 7.5 7.3 7.1 4.72 7.3 7.5 6.9 3.14 7.1 7.3 7.1 2.63 6.9 7.1
 
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] = + 2.31529380916423 -0.00404322630682142X[t] + 1.32252823053763Y1[t] -0.575637866483151Y2[t] -0.00521518864188663M1[t] -0.108150188940405M2[t] + 0.0458707235047182M3[t] -0.0543689167329827M4[t] -0.105541489403970M5[t] -0.0387973496948420M6[t] -0.07681960133785M7[t] + 0.0436390019268301M8[t] -0.0846599530284503M9[t] -0.0338476726946303M10[t] -0.0196176817384662M11[t] -0.00933208650509082t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)2.315293809164230.5566344.15950.0001648.2e-05
X-0.004043226306821420.02108-0.19180.8488640.424432
Y11.322528230537630.11400811.600300
Y2-0.5756378664831510.118888-4.84182e-051e-05
M1-0.005215188641886630.102256-0.0510.9595780.479789
M2-0.1081501889404050.101638-1.06410.2936770.146838
M30.04587072350471820.1017520.45080.6545620.327281
M4-0.05436891673298270.101653-0.53480.5957150.297857
M5-0.1055414894039700.1013-1.04190.3037280.151864
M6-0.03879734969484200.10172-0.38140.7049170.352458
M7-0.076819601337850.101453-0.75720.4533720.226686
M80.04363900192683010.1016750.42920.6700810.335041
M9-0.08465995302845030.106811-0.79260.4326780.216339
M10-0.03384767269463030.106908-0.31660.7531890.376594
M11-0.01961768173846620.106807-0.18370.8551970.427599
t-0.009332086505090820.002232-4.18050.0001547.7e-05


Multiple Linear Regression - Regression Statistics
Multiple R0.981193454555963
R-squared0.962740595263465
Adjusted R-squared0.948768318487264
F-TEST (value)68.9036304307483
F-TEST (DF numerator)15
F-TEST (DF denominator)40
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.150924278622669
Sum Squared Residuals0.91112551511092


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
17.87.82811961973983-0.02811961973983
288.00508659538519-0.00508659538518576
38.68.413674583486720.186325416513282
48.98.9830987057159-0.0830987057159018
58.98.9748997378618-0.0748997378617924
68.68.85626455328622-0.256264553286223
78.38.41340514613195-0.113405146131947
88.38.3015966570411-0.00159665704110306
98.38.33669740778875-0.0366974077887451
108.48.376924201462360.02307579853764
118.58.51205331581379-0.0120533158137856
128.48.59828134760772-0.198281347607724
138.68.394928269335370.205071730664626
148.58.60327505381715-0.103275053817150
158.58.499491812303950.000508187696052827
168.58.447605168998680.052394831001325
178.58.386898348507260.113101651492744
188.58.4471002278630.0528997721370002
198.58.399341567084220.100658432915781
208.58.50917425142563-0.0091742514256252
218.58.372594448805030.127405551194972
228.58.415085449210460.0849145507895377
238.58.422773179813240.0772268201867576
248.58.431967103943780.068032896056224
258.68.416489886746230.183510113253770
268.48.43776945541457-0.0377694554145661
278.18.2614805197016-0.1614805197016
2887.870156600304940.129843399695058
2987.851748200805840.148251799194156
3087.966764472921260.0332355270787357
3187.918278031407260.0817219685927446
327.98.02879806422082-0.128798064220821
337.87.758833335180550.0411666648194488
347.87.725179737710080.0748202622899191
357.97.787439267494130.112560732505872
368.17.930139414833540.169860585166459
3788.12455561229918-0.124555612299184
387.67.76486769688211-0.164867696882115
397.37.43778555915086-0.137785559150862
4077.16272131641675-0.162721316416747
416.86.87657268976466-0.0765726897646634
4276.839218901602140.160781098397860
437.17.16866752444342-0.0686675244434232
447.27.29631280701412-0.0963128070141214
457.17.23187480822568-0.131874808225676
466.97.0828106116171-0.182810611617097
476.76.87773423687884-0.177734236878844
486.76.73961213361496-0.0396121336149595
496.66.83590661187938-0.235906611879382
506.96.589001198500980.310998801499016
517.37.187567525356870.112432474643128
527.57.436418208563730.0635817914362655
537.37.40988102306045-0.109881023060445
547.17.090651844327370.0093481556726265
556.96.90030773093316-0.000307730933155562
567.16.864118220298330.235881779701671


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
190.1720316757310580.3440633514621150.827968324268942
200.1072897372964860.2145794745929720.892710262703514
210.05229279740750450.1045855948150090.947707202592496
220.02948862516785010.05897725033570010.97051137483215
230.01707355306639570.03414710613279130.982926446933604
240.008748450032844780.01749690006568960.991251549967155
250.007434407860904170.01486881572180830.992565592139096
260.004817400587720410.009634801175440820.99518259941228
270.04093715382385120.08187430764770240.959062846176149
280.02553892570332120.05107785140664240.974461074296679
290.02797735939376190.05595471878752390.972022640606238
300.01899273986883990.03798547973767980.98100726013116
310.01722081663543590.03444163327087180.982779183364564
320.02786776103072520.05573552206145050.972132238969275
330.02819303513476580.05638607026953160.971806964865234
340.05023506413144030.1004701282628810.94976493586856
350.07043704719627320.1408740943925460.929562952803727
360.1834418741912650.366883748382530.816558125808735
370.7928366013260880.4143267973478230.207163398673912


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level10.0526315789473684NOK
5% type I error level60.315789473684211NOK
10% type I error level120.631578947368421NOK
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Nov/18/t12585561557hxnh3guj007kgz/106gyh1258556037.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/18/t12585561557hxnh3guj007kgz/106gyh1258556037.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/18/t12585561557hxnh3guj007kgz/1tkvz1258556037.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/18/t12585561557hxnh3guj007kgz/1tkvz1258556037.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/18/t12585561557hxnh3guj007kgz/2woa31258556037.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/18/t12585561557hxnh3guj007kgz/2woa31258556037.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/18/t12585561557hxnh3guj007kgz/3x8kz1258556037.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/18/t12585561557hxnh3guj007kgz/3x8kz1258556037.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/18/t12585561557hxnh3guj007kgz/444sf1258556037.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/18/t12585561557hxnh3guj007kgz/444sf1258556037.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/18/t12585561557hxnh3guj007kgz/5knr01258556037.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/18/t12585561557hxnh3guj007kgz/5knr01258556037.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/18/t12585561557hxnh3guj007kgz/6w46g1258556037.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/18/t12585561557hxnh3guj007kgz/6w46g1258556037.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/18/t12585561557hxnh3guj007kgz/70xor1258556037.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/18/t12585561557hxnh3guj007kgz/70xor1258556037.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/18/t12585561557hxnh3guj007kgz/83axy1258556037.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/18/t12585561557hxnh3guj007kgz/83axy1258556037.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/18/t12585561557hxnh3guj007kgz/9056o1258556037.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/18/t12585561557hxnh3guj007kgz/9056o1258556037.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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