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WS 7.2

*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, 27 Nov 2009 12:17:27 -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/27/t12593496082sd6pryvvmhugqw.htm/, Retrieved Fri, 27 Nov 2009 20:20:20 +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/27/t12593496082sd6pryvvmhugqw.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 «
100.00 100.00 94.97 106.73 107.50 104.81 124.27 96.15 107.06 88.46 79.71 88.46 163.41 91.35 144.83 92.31 166.82 91.35 154.26 87.50 132.60 85.58 157.51 86.54 104.02 97.12 106.03 99.04 113.23 98.08 117.64 92.31 113.34 88.46 66.62 89.42 185.99 90.38 174.57 90.38 208.19 88.46 163.81 86.54 162.46 86.54 148.16 86.54 113.41 94.23 105.63 96.15 111.79 94.23 132.36 89.42 110.75 86.54 67.37 86.54 178.29 87.50 156.38 87.50 189.71 87.50 152.80 88.46 150.80 84.62 160.40 79.81 127.25 80.77 108.47 77.88 117.09 74.04 147.25 75.96 116.19 75.96 75.83 76.92 181.94 75.96 179.12 73.08 183.15 68.27 197.90 65.38 155.42 62.50 162.54 66.35 125.90 78.85 105.50 83.65 121.11 79.81 137.51 75.96 97.20 72.12 69.74 75.00 152.58 79.81 146.59 80.77 161.16 78.85 152.84 74.04 121.95 69.23 140.12 70.19
 
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] = + 183.652974945091 -0.383983963036890X[t] -34.9039253829419M1[t] -43.9415014112019M2[t] -34.8759253829419M3[t] -18.8397134824402M4[t] -43.1400229154509M5[t] -79.8253983109354M6[t] + 21.4276619130444M7[t] + 9.20993699214136M8[t] + 29.9799198151845M9[t] + 11.5351919396662M10[t] -9.17372492090307M11[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)183.65297494509115.56819711.796700
X-0.3839839630368900.186769-2.05590.0453670.022683
M1-34.90392538294198.173825-4.27029.4e-054.7e-05
M2-43.94150141120198.316968-5.28343e-062e-06
M3-34.87592538294198.173825-4.26689.5e-054.8e-05
M4-18.83971348244027.987562-2.35860.0225520.011276
M5-43.14002291545097.887285-5.46962e-061e-06
M6-79.82539831093547.90807-10.094200
M721.42766191304447.9556612.69340.0097740.004887
M89.209936992141367.9497511.15850.2525050.126253
M929.97991981518457.8993193.79530.0004220.000211
M1011.53519193966627.8577881.4680.1487670.074383
M11-9.173724920903077.844008-1.16950.2480910.124046


Multiple Linear Regression - Regression Statistics
Multiple R0.945413171743223
R-squared0.893806065305581
Adjusted R-squared0.866692720277218
F-TEST (value)32.9655401932369
F-TEST (DF numerator)12
F-TEST (DF denominator)47
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation12.4023356200969
Sum Squared Residuals7229.44265517568


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1100110.350653258460-10.3506532584602
294.9798.728865158962-3.75886515896208
3107.5108.531690396253-1.03169039625281
4124.27127.893203416654-3.62320341665409
5107.06106.5457306593970.514269340602919
679.7169.86035526391249.84964473608757
7163.41170.003701834716-6.59370183471576
8144.83157.417352309297-12.5873523092973
9166.82178.555959736856-11.7359597368558
10154.26161.589570119030-7.3295701190295
11132.6141.617902467491-9.01790246749109
12157.51150.4230027838797.08699721612125
13104.02111.456527072006-7.4365270720065
14106.03101.6817018347164.34829816528426
15113.23111.1159024674912.11409753250891
16117.64129.367701834716-11.7277018347158
17113.34106.5457306593976.79426934060295
1866.6269.4917306593971-2.87173065939706
19185.99170.37616627886215.6138337211385
20174.57158.15844135795816.4115586420415
21208.19179.66567339003228.5243266099676
22163.81161.9581947235451.85180527645510
23162.46141.24927786297621.2107221370243
24148.16150.423002783879-2.26300278387875
25113.41112.5662407251830.843759274816883
26105.63102.7914154878922.83858451210764
27111.79112.594240725183-0.804240725183107
28132.36130.4774154878921.88258451210765
29110.75107.2829798684283.46702013157213
3067.3770.5976044729433-3.22760447294327
31178.29171.4820400924086.80795990759222
32156.38159.264315171505-2.88431517150469
33189.71180.0342979945489.67570200545222
34152.8161.220945514514-8.42094551451407
35150.8141.9865270720068.81347292799352
36160.4153.0072148551177.392785144883
37127.25117.7346648676609.51533513234035
38108.47109.806802492576-1.33680249257633
39117.09120.346876938898-3.25687693889792
40147.25135.64583963036911.6041603696311
41116.19111.3455301973584.84446980264183
4275.8374.29153019735821.53846980264179
43181.94175.9132150258546.0267849741465
44179.12164.80136391849714.3186360815034
45183.15187.418309603747-4.26830960374717
46197.9170.08329538140527.8167046185945
47155.42150.4802523343824.93974766561748
48162.54158.1756389975944.36436100240643
49125.9118.4719140766907.42808592330952
50105.5107.591215025853-2.09121502585348
51121.11118.1312894721752.97871052782493
52137.51135.6458396303691.86416036963108
5397.2112.820028615420-15.6200286154198
5469.7475.028779406389-5.28877940638904
55152.58174.434876768161-21.8548767681614
56146.59161.848527242743-15.2585272427430
57161.16183.355759274817-22.1957592748169
58152.84166.757994261506-13.9179942615060
59121.95147.896040263144-25.9460402631442
60140.12156.701140579532-16.5811405795319


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
160.04620491571281310.09240983142562630.953795084287187
170.02053001399761600.04106002799523210.979469986002384
180.02446555830610090.04893111661220180.975534441693899
190.08542950010727180.1708590002145440.914570499892728
200.2140753847126020.4281507694252040.785924615287398
210.553263979115640.893472041768720.44673602088436
220.4505477613361540.9010955226723090.549452238663846
230.6395886250681070.7208227498637860.360411374931893
240.5519563644593960.8960872710812070.448043635540604
250.4545376914400050.9090753828800110.545462308559995
260.3733692300833080.7467384601666160.626630769916692
270.3034683274465820.6069366548931640.696531672553418
280.2264782210733790.4529564421467580.773521778926621
290.1662094878017530.3324189756035060.833790512198247
300.1216794661417740.2433589322835470.878320533858226
310.09236862187230350.1847372437446070.907631378127697
320.06274747294036940.1254949458807390.93725252705963
330.06834089256453530.1366817851290710.931659107435465
340.04425392372583650.0885078474516730.955746076274164
350.08438384287300880.1687676857460180.915616157126991
360.230365774548690.460731549097380.76963422545131
370.1660854369979130.3321708739958270.833914563002087
380.1787055516806120.3574111033612230.821294448319388
390.2364103689844280.4728207379688560.763589631015572
400.1937338458203960.3874676916407930.806266154179604
410.5199658091108130.9600683817783740.480034190889187
420.5020955926325180.9958088147349640.497904407367482
430.4972301561020680.9944603122041350.502769843897932
440.346143274254650.69228654850930.65385672574535


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level20.0689655172413793NOK
10% type I error level40.137931034482759NOK
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Nov/27/t12593496082sd6pryvvmhugqw/101b2b1259349443.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t12593496082sd6pryvvmhugqw/101b2b1259349443.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/27/t12593496082sd6pryvvmhugqw/1sv411259349442.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t12593496082sd6pryvvmhugqw/1sv411259349442.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/27/t12593496082sd6pryvvmhugqw/269rk1259349443.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t12593496082sd6pryvvmhugqw/269rk1259349443.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/27/t12593496082sd6pryvvmhugqw/3q6lc1259349443.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t12593496082sd6pryvvmhugqw/3q6lc1259349443.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/27/t12593496082sd6pryvvmhugqw/4jxuc1259349443.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t12593496082sd6pryvvmhugqw/4jxuc1259349443.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/27/t12593496082sd6pryvvmhugqw/5l9r41259349443.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t12593496082sd6pryvvmhugqw/5l9r41259349443.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/27/t12593496082sd6pryvvmhugqw/6do7o1259349443.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t12593496082sd6pryvvmhugqw/6do7o1259349443.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/27/t12593496082sd6pryvvmhugqw/739bu1259349443.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t12593496082sd6pryvvmhugqw/739bu1259349443.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/27/t12593496082sd6pryvvmhugqw/8ks1z1259349443.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t12593496082sd6pryvvmhugqw/8ks1z1259349443.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/27/t12593496082sd6pryvvmhugqw/9fhyz1259349443.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t12593496082sd6pryvvmhugqw/9fhyz1259349443.ps (open in new window)


 
Parameters (Session):
par1 = 1 ; par2 = Include Monthly Dummies ; par3 = No Linear Trend ;
 
Parameters (R input):
par1 = 1 ; 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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