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Model 4

*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 07:38:51 -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/t1258727994fdvidnjrq336989.htm/, Retrieved Fri, 20 Nov 2009 15:40:06 +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/t1258727994fdvidnjrq336989.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 «
21,3 2533 21,8 19,2 20 20,3 21,5 2058 21,3 21,8 19,2 20 19,5 2160 21,5 21,3 21,8 19,2 19,5 2260 19,5 21,5 21,3 21,8 19,7 2498 19,5 19,5 21,5 21,3 18,7 2695 19,7 19,5 19,5 21,5 19,7 2799 18,7 19,7 19,5 19,5 20 2946 19,7 18,7 19,7 19,5 19,7 2930 20 19,7 18,7 19,7 19,2 2318 19,7 20 19,7 18,7 19,7 2540 19,2 19,7 20 19,7 22 2570 19,7 19,2 19,7 20 21,8 2669 22 19,7 19,2 19,7 22,8 2450 21,8 22 19,7 19,2 21 2842 22,8 21,8 22 19,7 25 3440 21 22,8 21,8 22 23,3 2678 25 21 22,8 21,8 25 2981 23,3 25 21 22,8 26,8 2260 25 23,3 25 21 25,3 2844 26,8 25 23,3 25 26,5 2546 25,3 26,8 25 23,3 27,8 2456 26,5 25,3 26,8 25 22 2295 27,8 26,5 25,3 26,8 22,3 2379 22 27,8 26,5 25,3 28 2479 22,3 22 27,8 26,5 25 2057 28 22,3 22 27,8 27,3 2280 25 28 22,3 22 25,8 2351 27,3 25 28 22,3 27,3 2276 25,8 27,3 25 28 23,5 2548 27,3 25,8 27,3 25 24,5 2311 23,5 27,3 25,8 27,3 18 2201 24,5 23,5 27,3 25,8 21,3 2725 18 24,5 23,5 27,3 21,8 2408 21,3 18 24,5 23,5 20,5 2139 21,8 21,3 18 24,5 22,3 1898 20,5 21,8 21,3 18 18 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 time4 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


Multiple Linear Regression - Estimated Regression Equation
Y[t] = + 1.85422779475554 + 0.000604826557932779X[t] + 0.574485001754852Y1[t] + 0.391886275032236Y2[t] -0.0635822312445514Y3[t] -0.00547461318830385Y4[t] -0.301760548071200M1[t] -0.417100597659018M2[t] -1.99878180986883M3[t] + 0.351604644101707M4[t] + 0.316273377056073M5[t] -0.606367151252546M6[t] -1.53548312063179M7[t] -0.388501259503871M8[t] + 0.560018451568021M9[t] + 1.32513484904000M10[t] -0.155911104604277M11[t] -0.0496906557819444t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)1.854227794755545.0740530.36540.7167630.358381
X0.0006048265579327790.0017560.34440.7323650.366183
Y10.5744850017548520.1640873.50110.0011770.000588
Y20.3918862750322360.189732.06550.0455670.022784
Y3-0.06358223124455140.19297-0.32950.7435460.371773
Y4-0.005474613188303850.167352-0.03270.974070.487035
M1-0.3017605480712002.062045-0.14630.8844060.442203
M2-0.4171005976590182.100274-0.19860.8436120.421806
M3-1.998781809868832.043168-0.97830.3339680.166984
M40.3516046441017072.1102330.16660.8685310.434265
M50.3162733770560732.1127330.14970.8817740.440887
M6-0.6063671512525462.127673-0.2850.7771590.38858
M7-1.535483120631792.048291-0.74960.4579690.228985
M8-0.3885012595038712.079945-0.18680.8527980.426399
M90.5600184515680212.2119550.25320.801460.40073
M101.325134849040002.2139380.59850.5529390.27647
M11-0.1559111046042772.17245-0.07180.9431540.471577
t-0.04969065578194440.034665-1.43350.1596950.079848


Multiple Linear Regression - Regression Statistics
Multiple R0.933057841963762
R-squared0.870596936450073
Adjusted R-squared0.814190472851387
F-TEST (value)15.4343470749043
F-TEST (DF numerator)17
F-TEST (DF denominator)39
p-value2.58504329053721e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation3.00902986975080
Sum Squared Residuals353.116169525049


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
121.321.7000125084072-0.40001250840724
221.522.0318591711779-0.531859171177916
319.520.2201993642450-0.720199364244964
419.521.5283421910563-2.02834219105626
519.720.7935172992975-1.09351729929745
618.720.1813034873221-1.48130348732206
719.718.78024030381410.919759696185918
82020.1363232936499-0.136323293649880
919.721.6521942081785-1.95219420817849
1019.221.8845788603406-2.68457886034063
1119.720.0587560808267-0.358756080826719
122220.29185297516521.70814702483478
1321.821.55097174167850.249028258321539
1422.822.01087164331650.789128356683531
152120.96372309432610.0362769056738507
162522.98404328194792.01595671805215
1723.323.96820092533-0.66820092532999
182523.87902618849061.12097381150936
1926.822.53008282924914.26991717075089
2025.325.7670637555039-0.467063755503882
2126.526.230539338260.269460661740011
2227.826.86932842063320.930671579366772
232226.5438278108277-4.54382781082771
2422.323.8102060801691-1.51020608016915
252821.32941620100496.67058379899511
262524.66293902477340.337060975226573
2727.323.68941832873873.61058167126133
2825.825.8146523894295-0.0146523894294990
2927.325.88342080325921.41657919674085
3023.525.2196852407127-1.71968524071267
3124.522.58510286373511.91489713626494
321822.6140188772564-4.61401887725641
3321.320.72091137147570.579088628524328
3421.820.55036811125351.24963188874650
3520.520.8452102561284-0.345210256128447
3622.320.08054376234072.21945623765926
3718.720.5903402354798-1.89034023547980
3822.318.85881475720393.44118524279612
3917.717.7744431535285-0.0744431535284873
4019.719.33874599947750.36125400052248
4120.518.33881470602662.16118529397335
4218.518.7350360495159-0.235036049515885
431017.1841024400393-7.18410244003927
4414.212.11478914108902.08521085891104
4515.512.54783711198712.95216288801290
4616.515.99572460777270.504275392227346
4720.515.25220585221715.24779414778287
4815.718.1173971823249-2.41739718232489
4911.716.3292593134296-4.62925931342961
507.511.5355154035283-4.03551540352831
513.56.35221605916173-2.85221605916173
524.54.83421613808886-0.334216138088863
532.24.01604626608676-1.81604626608676
5452.684949033958742.31505096604126
552.32.220471563162470.0795284368375297
566.12.967804932500873.13219506749913
573.35.14851797009875-1.84851797009875


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
210.01057363766748340.02114727533496680.989426362332517
220.003011653434835570.006023306869671140.996988346565164
230.01162651710477910.02325303420955820.98837348289522
240.03596943301514460.07193886603028920.964030566984855
250.06455386129471930.1291077225894390.93544613870528
260.03158290650624750.0631658130124950.968417093493752
270.06101090952440620.1220218190488120.938989090475594
280.05400658345480450.1080131669096090.945993416545196
290.02705678006964620.05411356013929250.972943219930354
300.02874710657543860.05749421315087730.971252893424561
310.03737021782060930.07474043564121850.96262978217939
320.1522531976877070.3045063953754140.847746802312293
330.08687884123021340.1737576824604270.913121158769787
340.06285683055365730.1257136611073150.937143169446343
350.1280705718890050.2561411437780110.871929428110995
360.06859254913875630.1371850982775130.931407450861244


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level10.0625NOK
5% type I error level30.1875NOK
10% type I error level80.5NOK
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258727994fdvidnjrq336989/10hmo41258727926.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258727994fdvidnjrq336989/10hmo41258727926.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258727994fdvidnjrq336989/1tkij1258727926.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258727994fdvidnjrq336989/1tkij1258727926.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258727994fdvidnjrq336989/2b1xy1258727926.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258727994fdvidnjrq336989/2b1xy1258727926.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258727994fdvidnjrq336989/33sf51258727926.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258727994fdvidnjrq336989/33sf51258727926.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258727994fdvidnjrq336989/4w80y1258727926.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258727994fdvidnjrq336989/4w80y1258727926.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258727994fdvidnjrq336989/5sf931258727926.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258727994fdvidnjrq336989/5sf931258727926.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258727994fdvidnjrq336989/6gbfn1258727926.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258727994fdvidnjrq336989/6gbfn1258727926.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258727994fdvidnjrq336989/76ila1258727926.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258727994fdvidnjrq336989/76ila1258727926.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258727994fdvidnjrq336989/8s7hn1258727926.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258727994fdvidnjrq336989/8s7hn1258727926.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258727994fdvidnjrq336989/9vg9a1258727926.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258727994fdvidnjrq336989/9vg9a1258727926.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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