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WS7(2)

*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 12:01:46 -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/t1258744030tvtrkdmau1nwkad.htm/, Retrieved Fri, 20 Nov 2009 20:07:22 +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/t1258744030tvtrkdmau1nwkad.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 «
8.1 10.9 7.7 10 7.5 9.2 7.6 9.2 7.8 9.5 7.8 9.6 7.8 9.5 7.5 9.1 7.5 8.9 7.1 9 7.5 10.1 7.5 10.3 7.6 10.2 7.7 9.6 7.7 9.2 7.9 9.3 8.1 9.4 8.2 9.4 8.2 9.2 8.2 9 7.9 9 7.3 9 6.9 9.8 6.6 10 6.7 9.8 6.9 9.3 7 9 7.1 9 7.2 9.1 7.1 9.1 6.9 9.1 7 9.2 6.8 8.8 6.4 8.3 6.7 8.4 6.6 8.1 6.4 7.7 6.3 7.9 6.2 7.9 6.5 8 6.8 7.9 6.8 7.6 6.4 7.1 6.1 6.8 5.8 6.5 6.1 6.9 7.2 8.2 7.3 8.7 6.9 8.3 6.1 7.9 5.8 7.5 6.2 7.8 7.1 8.3 7.7 8.4 7.9 8.2 7.7 7.7 7.4 7.2 7.5 7.3 8 8.1 8.1 8.5
 
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
Werkl_Vrouwen[t] = + 2.77768360598676 + 0.878437173686043Werkl_Mannen[t] + 0.330274973894885M1[t] + 0.0659624086320924M2[t] -0.226193873999304M3[t] -0.319450052210233M4[t] -0.438118691263488M5[t] -0.563531152105813M6[t] -0.69325617821093M7[t] -0.830274973894884M8[t] -0.917018795683954M9[t] -0.721331360946745M10[t] -0.235137486947442M11[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)2.777683605986761.1975842.31940.0247680.012384
Werkl_Mannen0.8784371736860430.1590085.52451e-061e-06
M10.3302749738948850.4822940.68480.4968330.248417
M20.06596240863209240.4841770.13620.8922170.446108
M3-0.2261938739993040.485898-0.46550.6437110.321855
M4-0.3194500522102330.482797-0.66170.5114170.255708
M5-0.4381186912634880.482975-0.90710.3689680.184484
M6-0.5635311521058130.48448-1.16320.2506340.125317
M7-0.693256178210930.483394-1.43410.1581510.079076
M8-0.8302749738948840.482294-1.72150.0917350.045867
M9-0.9170187956839540.48264-1.90.0635770.031789
M10-0.7213313609467450.485148-1.48680.1437380.071869
M11-0.2351374869474420.482168-0.48770.6280530.314026


Multiple Linear Regression - Regression Statistics
Multiple R0.698814048315905
R-squared0.488341074123664
Adjusted R-squared0.357704752623323
F-TEST (value)3.73817226721581
F-TEST (DF numerator)12
F-TEST (DF denominator)47
p-value0.000545406954329142
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.762308273255654
Sum Squared Residuals27.3123534632788


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
110.910.22329968673860.676700313261408
2109.607612252001390.392387747998611
39.29.139768534632790.0602314653672115
49.29.134356073790460.0656439262095371
59.59.191374869474420.308625130525582
69.69.06596240863210.534037591367908
79.58.936237382526970.563762617473026
89.18.53568743473720.564312565262791
98.98.448943612948140.451056387051862
1098.293256178210930.706743821789071
1110.19.130824921684650.96917507831535
1210.39.36596240863210.934037591367908
1310.29.784081099895580.415918900104417
149.69.6076122520014-0.00761225200139373
159.29.31545596937-0.115455969369997
169.39.39788722589628-0.0978872258962753
179.49.45490602158023-0.0549060215802293
189.49.4173372781065-0.0173372781065079
199.29.28761225200139-0.0876122520013917
2099.15059345631744-0.150593456317437
2198.800318482422560.199681517577444
2298.468943612948140.531056387051862
239.88.603762617473021.19623738252698
24108.575368952314651.42463104768535
259.88.993487643578140.806512356421857
269.38.904862513052560.395137486947441
2798.700549947789770.299450052210234
2898.695137486947440.304862513052559
299.18.66431256526280.435687434737208
309.18.451056387051860.648943612948138
319.18.145643926209540.954356073790463
329.28.096468847894191.10353115210581
338.87.83403759136790.965962408632092
348.37.67835015663070.6216498433693
358.48.42807518273582-0.0280751827358157
368.18.57536895231465-0.475368952314654
377.78.72995649147233-1.02995649147233
387.98.37780020884093-0.477800208840933
397.97.99780020884093-0.0978002088409323
4088.16807518273582-0.168075182735816
417.98.31293769578837-0.412937695788374
427.68.18752523494605-0.58752523494605
437.17.70642533936652-0.606425339366516
446.87.30587539157675-0.505875391576749
456.56.95560041768187-0.455600417681866
466.97.41481900452489-0.514819004524887
478.28.86729376957884-0.667293769578838
488.79.19027497389488-0.490274973894884
498.39.16917507831535-0.869175078315351
507.98.20211277410372-0.302112774103725
517.57.64642533936652-0.146425339366515
527.87.90454403063-0.104544030630004
538.38.57646884789419-0.276468847894187
548.48.97811869126349-0.578118691263488
558.29.02408109989558-0.82408109989558
567.78.71137486947442-1.01137486947442
577.28.36109989557953-1.16109989557953
587.38.64463104768535-1.34463104768535
598.19.57004350852767-1.47004350852767
608.59.89302471284372-1.39302471284372


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
160.02423215710371210.04846431420742420.975767842896288
170.0104566236070150.020913247214030.989543376392985
180.005721768082267370.01144353616453470.994278231917733
190.002948110095857290.005896220191714570.997051889904143
200.0008800513495481170.001760102699096230.999119948650452
210.000241995811402740.000483991622805480.999758004188597
227.07054821847148e-050.0001414109643694300.999929294517815
233.76748107288849e-057.53496214577698e-050.999962325189271
242.45846793086990e-054.91693586173979e-050.99997541532069
254.45039281119642e-058.90078562239284e-050.999955496071888
262.08899626572351e-054.17799253144702e-050.999979110037343
277.28157948620034e-061.45631589724007e-050.999992718420514
282.41898386373480e-064.83796772746961e-060.999997581016136
298.90327494515459e-071.78065498903092e-060.999999109672505
304.51573473905689e-079.03146947811378e-070.999999548426526
318.02995025736654e-071.60599005147331e-060.999999197004974
323.33353053533942e-056.66706107067884e-050.999966664694647
330.002237867397325540.004475734794651080.997762132602674
340.1447429769894700.2894859539789400.85525702301053
350.8727822052807550.2544355894384900.127217794719245
360.981481713786110.03703657242777980.0185182862138899
370.996187916708140.007624166583719810.00381208329185991
380.99290872655250.01418254689500060.0070912734475003
390.985251848657270.02949630268545870.0147481513427294
400.9669642870918560.06607142581628820.0330357129081441
410.9443644213525090.1112711572949820.0556355786474911
420.9300007783275050.1399984433449900.0699992216724952
430.9320093895116830.1359812209766330.0679906104883167
440.9080666037755980.1838667924488040.0919333962244018


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level160.551724137931034NOK
5% type I error level220.758620689655172NOK
10% type I error level230.793103448275862NOK
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258744030tvtrkdmau1nwkad/10k13k1258743702.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258744030tvtrkdmau1nwkad/10k13k1258743702.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258744030tvtrkdmau1nwkad/15vdw1258743702.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258744030tvtrkdmau1nwkad/15vdw1258743702.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258744030tvtrkdmau1nwkad/23d6m1258743702.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258744030tvtrkdmau1nwkad/23d6m1258743702.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258744030tvtrkdmau1nwkad/3b75g1258743702.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258744030tvtrkdmau1nwkad/3b75g1258743702.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258744030tvtrkdmau1nwkad/45c171258743702.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258744030tvtrkdmau1nwkad/45c171258743702.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258744030tvtrkdmau1nwkad/5nbcy1258743702.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258744030tvtrkdmau1nwkad/5nbcy1258743702.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258744030tvtrkdmau1nwkad/6aw151258743702.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258744030tvtrkdmau1nwkad/6aw151258743702.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258744030tvtrkdmau1nwkad/753jy1258743702.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258744030tvtrkdmau1nwkad/753jy1258743702.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258744030tvtrkdmau1nwkad/8og2b1258743702.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258744030tvtrkdmau1nwkad/8og2b1258743702.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258744030tvtrkdmau1nwkad/9fj8s1258743702.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258744030tvtrkdmau1nwkad/9fj8s1258743702.ps (open in new window)


 
Parameters (Session):
par1 = 2 ; par2 = Include Monthly Dummies ; par3 = No Linear Trend ;
 
Parameters (R input):
par1 = 2 ; par2 = Include Monthly 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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