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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, 24 Dec 2010 13:15:50 +0000
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Dec/24/t12931967273kcdm08zdji21fe.htm/, Retrieved Fri, 24 Dec 2010 14:18:47 +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/2010/Dec/24/t12931967273kcdm08zdji21fe.htm/},
    year = {2010},
}
@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 = {2010},
    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 «
1,5 508643 493 797 1,6 527568 514 840 1,8 520008 522 988 1,5 498484 490 819 1,3 523917 484 831 1,6 553522 506 904 1,6 558901 501 814 1,8 548933 462 798 1,8 567013 465 828 1,6 551085 454 789 1,8 588245 464 930 2 605010 427 744 1,3 631572 460 832 1,1 639180 473 826 1 653847 465 907 1,2 657073 422 776 1,2 626291 415 835 1,3 625616 413 715 1,3 633352 420 729 1,4 672820 363 733 1,1 691369 376 736 0,9 702595 380 712 1 692241 384 711 1,1 718722 346 667 1,4 732297 389 799 1,5 721798 407 661 1,8 766192 393 692 1,8 788456 346 649 1,8 806132 348 729 1,7 813944 353 622 1,5 788025 364 671 1,1 765985 305 635 1,3 702684 307 648 1,6 730159 312 745 1,9 678942 312 624 1,9 672527 286 477 2 594783 324 710 2,2 594575 336 515 2,2 576299 327 461 2 530770 302 590 2,3 524491 299 415 2,6 456590 311 554 3,2 428448 315 585 3,2 444937 264 513 3,1 372206 278 591 2,8 317272 278 561 2,3 297604 287 684 1,9 288561 279 668 1,9 289287 324 795 2 258923 354 776 2 255493 354 1043 1,8 277992 360 96 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'Sir Ronald Aylmer Fisher' @ 193.190.124.24


Multiple Linear Regression - Estimated Regression Equation
inflatie[t] = + 4.35891569656023 -1.24880250097788e-06beurswaarde[t] + 1.08573074824315e-05werkloosheid[t] -0.00277272710599615failliet[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)4.358915696560230.4906858.883300
beurswaarde-1.24880250097788e-060-2.70340.009070.004535
werkloosheid1.08573074824315e-050.0014060.00770.9938640.496932
failliet-0.002772727105996150.000733-3.78080.0003820.000191


Multiple Linear Regression - Regression Statistics
Multiple R0.61098302178297
R-squared0.373300252907049
Adjusted R-squared0.339727052169926
F-TEST (value)11.1189950529288
F-TEST (DF numerator)3
F-TEST (DF denominator)56
p-value7.89864764538795e-06
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.503152512180858
Sum Squared Residuals14.1770972287789


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11.51.51921019516525-0.0192101951652503
21.61.376577345733530.223422654266465
31.80.9757415394133580.824258460586642
41.51.470864211518320.0291357884816838
51.31.40576554839410-0.105765548394098
61.61.166624532379540.433375467620458
71.61.409398376729020.190601623270977
81.81.465786638762890.334213361237106
91.81.360059048287780.439940951712223
101.61.487966901274900.112033098725104
111.81.050715451467930.749284548532075
1221.545104798877460.454895201122535
131.31.268292412665750.0317075873342502
141.11.27556903087156-0.175569030871559
1511.03257509054417-0.0325750905441687
161.21.39130684033976-0.191306840339765
171.21.26608057851872-0.0660805785187162
181.31.59962905831145-0.299629058311449
191.31.55122614383232-0.251226143832315
201.41.49022863177324-0.0902286317732372
211.11.45888755786188-0.358887557861882
220.91.51145738075974-0.611457380759741
2311.52720363819079-0.527203638190792
241.11.61572151414190-0.515721514141895
251.41.233235906421370.166764093578627
261.51.62917885604129-0.129178856041292
271.81.487632975222250.312367024777754
281.81.578546608446630.221453391553366
291.81.334676321574620.465323678425378
301.71.621656763315980.0783432366840166
311.51.51828027752732-0.0182802775273244
321.11.64498147932327-0.544981479323275
331.31.68800818867469-0.38800818867469
341.61.384797097216110.215202902783891
351.91.784256994734230.115743005265773
361.92.19957665736489-0.29957665736489
3721.651030720988140.348969279011856
382.22.192102545267390.00789745473261452
392.22.36455520773171-0.164555207731707
4022.06345870743817-0.0634587074381653
412.32.55649460996868-0.256494609968684
422.62.256010768543910.343989231456093
433.22.205243457470480.994756542529524
443.22.383734581981970.81626541801803
453.12.258440524717650.841559475282353
462.82.410224054486250.38977594551375
472.32.09383778380530.206162216194701
481.92.14940748005772-0.249407480057721
491.91.796853085817210.103146914182791
5021.88777925919530.112220740804699
5121.151744514472680.848255485527316
521.81.342758292221770.457241707778227
531.61.88105017423335-0.281050174233347
541.41.142936127279700.257063872720297
550.21.36175984076092-1.16175984076092
560.31.78030504386925-1.48030504386925
570.41.37824343121475-0.978243431214752
580.71.60325211064546-0.90325211064546
5911.50664408229786-0.506644082297864
601.11.55531300385636-0.455313003856362


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
70.005934806201084870.01186961240216970.994065193798915
80.0261998161376180.0523996322752360.973800183862382
90.0088421695200490.0176843390400980.99115783047995
100.002770450683529160.005540901367058310.99722954931647
110.001248419275226790.002496838550453580.998751580724773
120.0008408003055165680.001681600611033140.999159199694483
130.007228580269371270.01445716053874250.992771419730629
140.008490665626837180.01698133125367440.991509334373163
150.01374738267740690.02749476535481380.986252617322593
160.009303103441313370.01860620688262670.990696896558687
170.01078795747032320.02157591494064650.989212042529677
180.005895516718687990.01179103343737600.994104483281312
190.003090124569086170.006180249138172340.996909875430914
200.001427544529929820.002855089059859650.99857245547007
210.0007303104273903140.001460620854780630.99926968957261
220.0004688819333975310.0009377638667950620.999531118066602
230.0002277582918244090.0004555165836488170.999772241708176
240.0001206807141068210.0002413614282136420.999879319285893
250.0001502374948288780.0003004749896577570.999849762505171
260.0003550909182319830.0007101818364639660.999644909081768
270.002463470987955600.004926941975911190.997536529012044
280.004901709214905380.009803418429810760.995098290785095
290.008350298718562960.01670059743712590.991649701281437
300.007465193362948880.01493038672589780.992534806637051
310.006198130320284440.01239626064056890.993801869679716
320.00553311552761280.01106623105522560.994466884472387
330.004806655218413780.009613310436827570.995193344781586
340.004015280187595820.008030560375191640.995984719812404
350.004713314285174760.009426628570349510.995286685714825
360.007174030371665180.01434806074333040.992825969628335
370.006289739178078020.01257947835615600.993710260821922
380.005094300886261260.01018860177252250.994905699113739
390.00308481643368540.00616963286737080.996915183566315
400.002945134526155640.005890269052311280.997054865473844
410.002183319586461580.004366639172923160.997816680413538
420.00152296778069070.00304593556138140.99847703221931
430.01320285184663180.02640570369326350.986797148153368
440.01434722896550990.02869445793101980.98565277103449
450.03758174557560270.07516349115120540.962418254424397
460.06660112215652760.1332022443130550.933398877843472
470.07369466090684920.1473893218136980.92630533909315
480.08682018534725380.1736403706945080.913179814652746
490.06028625082453890.1205725016490780.939713749175461
500.04239793752360040.08479587504720080.9576020624764
510.02487689249711890.04975378499423790.975123107502881
520.01954172433284710.03908344866569430.980458275667153
530.0726605531632730.1453211063265460.927339446836727


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level200.425531914893617NOK
5% type I error level390.829787234042553NOK
10% type I error level420.893617021276596NOK
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Dec/24/t12931967273kcdm08zdji21fe/10ek1a1293196541.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/24/t12931967273kcdm08zdji21fe/10ek1a1293196541.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/24/t12931967273kcdm08zdji21fe/1pjny1293196541.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/24/t12931967273kcdm08zdji21fe/1pjny1293196541.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/24/t12931967273kcdm08zdji21fe/2pjny1293196541.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/24/t12931967273kcdm08zdji21fe/2pjny1293196541.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/24/t12931967273kcdm08zdji21fe/30b411293196541.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/24/t12931967273kcdm08zdji21fe/30b411293196541.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/24/t12931967273kcdm08zdji21fe/40b411293196541.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/24/t12931967273kcdm08zdji21fe/40b411293196541.ps (open in new window)


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http://www.freestatistics.org/blog/date/2010/Dec/24/t12931967273kcdm08zdji21fe/6b2341293196541.png (open in new window)
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http://www.freestatistics.org/blog/date/2010/Dec/24/t12931967273kcdm08zdji21fe/7b2341293196541.png (open in new window)
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http://www.freestatistics.org/blog/date/2010/Dec/24/t12931967273kcdm08zdji21fe/84b2p1293196541.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/24/t12931967273kcdm08zdji21fe/84b2p1293196541.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/24/t12931967273kcdm08zdji21fe/94b2p1293196541.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/24/t12931967273kcdm08zdji21fe/94b2p1293196541.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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Software written by Ed van Stee & Patrick Wessa


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