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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 07:58:47 -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/t1258556378418rdhsm190kydm.htm/, Retrieved Wed, 18 Nov 2009 15:59:50 +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/t1258556378418rdhsm190kydm.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 2.26 7.8 7.8 8.3 8.5 8.6 8.6 2.41 8 7.8 7.8 8.3 8.5 8.9 2.26 8.6 8 7.8 7.8 8.3 8.9 2.03 8.9 8.6 8 7.8 7.8 8.6 2.86 8.9 8.9 8.6 8 7.8 8.3 2.55 8.6 8.9 8.9 8.6 8 8.3 2.27 8.3 8.6 8.9 8.9 8.6 8.3 2.26 8.3 8.3 8.6 8.9 8.9 8.4 2.57 8.3 8.3 8.3 8.6 8.9 8.5 3.07 8.4 8.3 8.3 8.3 8.6 8.4 2.76 8.5 8.4 8.3 8.3 8.3 8.6 2.51 8.4 8.5 8.4 8.3 8.3 8.5 2.87 8.6 8.4 8.5 8.4 8.3 8.5 3.14 8.5 8.6 8.4 8.5 8.4 8.5 3.11 8.5 8.5 8.6 8.4 8.5 8.5 3.16 8.5 8.5 8.5 8.6 8.4 8.5 2.47 8.5 8.5 8.5 8.5 8.6 8.5 2.57 8.5 8.5 8.5 8.5 8.5 8.5 2.89 8.5 8.5 8.5 8.5 8.5 8.5 2.63 8.5 8.5 8.5 8.5 8.5 8.5 2.38 8.5 8.5 8.5 8.5 8.5 8.5 1.69 8.5 8.5 8.5 8.5 8.5 8.5 1.96 8.5 8.5 8.5 8.5 8.5 8.6 2.19 8.5 8.5 8.5 8.5 8.5 8.4 1.87 8.6 8.5 8.5 8.5 8.5 8.1 1.6 8.4 8.6 8.5 8.5 8.5 8 1.63 8.1 8.4 8.6 8.5 8.5 8 1.22 8 8.1 8.4 8.6 8.5 8 1.21 8 8 8.1 8.4 8.6 8 1.49 8 8 8 8.1 8.4 7.9 1.64 8 8 8 8 8.1 7.8 1.66 7.9 8 8 8 8 7.8 1.77 7.8 7.9 8 8 8 7.9 1.82 7.8 7.8 7.9 8 8 8.1 1.78 7.9 7.8 7.8 7.9 8 8 1.28 8.1 7.9 7.8 7.8 7.9 7.6 1.2 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 time5 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


Multiple Linear Regression - Estimated Regression Equation
Y[t] = + 0.503509380194537 + 0.0414818132820681X[t] + 1.33626413393048Y1[t] -0.492087963870134Y2[t] -0.305971990782305Y3[t] + 0.315642153418853Y4[t] + 0.0855267462042557Y5[t] -0.0999994484620697M1[t] + 0.0366515842356858M2[t] -0.0228980548083576M3[t] -0.0962768815913776M4[t] -0.000526169999079095M5[t] -0.0440976932868833M6[t] + 0.0416662738636087M7[t] -0.0730109866690508M8[t] -0.0333481723841644M9[t] -0.00834119278490148M10[t] + 0.00126336559598207M11[t] -0.00461047464397417t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)0.5035093801945370.7579020.66430.5107020.255351
X0.04148181328206810.023341.77730.0839730.041986
Y11.336264133930480.167497.978200
Y2-0.4920879638701340.269045-1.8290.075690.037845
Y3-0.3059719907823050.263844-1.15970.2538170.126909
Y40.3156421534188530.249961.26280.214790.107395
Y50.08552674620425570.1486740.57530.5686920.284346
M1-0.09999944846206970.092342-1.08290.2860410.143021
M20.03665158423568580.093620.39150.697740.34887
M3-0.02289805480835760.093056-0.24610.8070280.403514
M4-0.09627688159137760.093396-1.03080.3094910.154746
M5-0.0005261699990790950.093827-0.00560.9955570.497778
M6-0.04409769328688330.093047-0.47390.6384130.319207
M70.04166627386360870.0927340.44930.6559020.327951
M8-0.07301098666905080.096713-0.75490.4552070.227604
M9-0.03334817238416440.097323-0.34270.7338520.366926
M10-0.008341192784901480.096862-0.08610.9318530.465926
M110.001263365595982070.0966480.01310.9896430.494821
t-0.004610474643974170.002676-1.72320.0934340.046717


Multiple Linear Regression - Regression Statistics
Multiple R0.986273403292289
R-squared0.972735226041754
Adjusted R-squared0.959102839062631
F-TEST (value)71.3547251505868
F-TEST (DF numerator)18
F-TEST (DF denominator)36
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.136065730897524
Sum Squared Residuals0.666499792488392


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
187.956143279500360.0438567204996425
28.68.44296382641950.157036173580505
38.98.90099590237315-0.000995902373146965
48.98.815134474489750.0848655255102492
58.68.67262346351554-0.0726234635155403
68.38.32540190734465-0.0254019073446474
78.38.28769633486230.0123036651377047
88.38.43306979180985-0.133069791809849
98.48.47808044477724-0.0780804447772375
108.58.53249359987968-0.032493599879675
118.48.5833879146439-0.183387914643900
128.68.353711212225140.246288787774863
138.58.5814633813374-0.0814633813373996
148.58.5633741118508-0.0633741118508071
158.58.462972401273420.0370275987265798
168.58.47223014565210.027769854347895
178.58.52028906533477-0.0202890653347681
188.58.467702574110770.0322974258892291
198.58.56213024686755-0.0621302468675505
208.58.432057240237580.067942759762421
218.58.456739126557970.0432608734420258
228.58.448513180348640.0514868196513640
238.58.46470735367170.0352926463282963
248.68.468374330486620.131625669513376
258.48.48411664052336-0.084116640523364
268.18.28849548581788-0.188495485817880
2787.892520980044980.107479019955023
2887.904282724438670.0957172755613254
2988.08143278081254-0.0814327808125382
3087.963664894411460.0363351055885383
317.97.99381841970713-0.0938184197071276
327.87.733181232782660.0668187672173368
337.87.688378954878570.111621045121432
347.97.79065554596320.109344454036796
358.17.926649754298220.173350245701775
3688.077962147854-0.0779621478540032
377.67.70257316301505-0.102573163015051
387.37.32300522613164-0.0230052261316447
3977.14670890887445-0.146708908874448
406.86.93957459382125-0.139574593821246
4176.898352178087150.101647821912850
427.17.20776612174027-0.107766121740274
437.27.27119443512765-0.0711944351276502
447.17.10169173516991-0.00169173516990879
456.96.97680147378622-0.0768014737862203
466.76.82833767380849-0.128337673808485
476.76.72525497738617-0.0252549773861713
486.66.89995230943424-0.299952309434236
496.96.675703535623830.224296464376172
507.37.182161349780170.117838650219827
517.57.496801807434010.00319819256599207
527.37.36877806159822-0.0687780615982234
537.17.027302512250.0726974877499958
546.96.835464502392850.0645354976071543
557.16.885160563435380.214839436564624


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
220.1366835159580100.2733670319160190.86331648404199
230.0730666074964750.146133214992950.926933392503525
240.0938726518301490.1877453036602980.906127348169851
250.06406045548882040.1281209109776410.93593954451118
260.2701641543887440.5403283087774880.729835845611256
270.2202512591458180.4405025182916370.779748740854182
280.3628317421855250.7256634843710490.637168257814476
290.5300405320090860.939918935981830.469959467990914
300.389154176859450.77830835371890.61084582314055
310.3112532423739270.6225064847478540.688746757626073
320.1965564701876950.393112940375390.803443529812305
330.106883086050220.213766172100440.89311691394978


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 level00OK
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Nov/18/t1258556378418rdhsm190kydm/10dhqs1258556322.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/18/t1258556378418rdhsm190kydm/10dhqs1258556322.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/18/t1258556378418rdhsm190kydm/1501a1258556322.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/18/t1258556378418rdhsm190kydm/1501a1258556322.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/18/t1258556378418rdhsm190kydm/2lvn21258556322.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/18/t1258556378418rdhsm190kydm/2lvn21258556322.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/18/t1258556378418rdhsm190kydm/3pdmc1258556322.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/18/t1258556378418rdhsm190kydm/3pdmc1258556322.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/18/t1258556378418rdhsm190kydm/4qfja1258556322.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/18/t1258556378418rdhsm190kydm/4qfja1258556322.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/18/t1258556378418rdhsm190kydm/519fw1258556322.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/18/t1258556378418rdhsm190kydm/519fw1258556322.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/18/t1258556378418rdhsm190kydm/6uav61258556322.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/18/t1258556378418rdhsm190kydm/6uav61258556322.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/18/t1258556378418rdhsm190kydm/741nq1258556322.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/18/t1258556378418rdhsm190kydm/741nq1258556322.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/18/t1258556378418rdhsm190kydm/83b3u1258556322.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/18/t1258556378418rdhsm190kydm/83b3u1258556322.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/18/t1258556378418rdhsm190kydm/9meag1258556322.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/18/t1258556378418rdhsm190kydm/9meag1258556322.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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