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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, 20 Nov 2009 08:46:37 -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/t1258733524yv3zh41laubgqjy.htm/, Retrieved Fri, 20 Nov 2009 17:12:15 +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/t1258733524yv3zh41laubgqjy.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 «
130 87.1 136.7 110.5 138.1 110.8 139.5 104.2 140.4 88.9 144.6 89.8 151.4 90 147.9 93.9 141.5 91.3 143.8 87.8 143.6 99.7 150.5 73.5 150.1 79.2 154.9 96.9 162.1 95.2 176.7 95.6 186.6 89.7 194.8 92.8 196.3 88 228.8 101.1 267.2 92.7 237.2 95.8 254.7 103.8 258.2 81.8 257.9 87.1 269.6 105.9 266.9 108.1 269.6 102.6 253.9 93.7 258.6 103.5 274.2 100.6 301.5 113.3 304.5 102.4 285.1 102.1 287.7 106.9 265.5 87.3 264.1 93.1 276.1 109.1 258.9 120.3 239.1 104.9 250.1 92.6 276.8 109.8 297.6 111.4 295.4 117.9 283 121.6 275.8 117.8 279.7 124.2 254.6 106.8 234.6 102.7 176.9 116.8 148.1 113.6 122.7 96.1 124.9 85 121.6 83.2 128.4 84.9 144.5 83 151.8 79.6 167.1 83.2 173.8 83.8 203.7 82.8 199.8 71.4
 
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] = -118.138386770027 + 3.78371344759034X[t] -19.2118191206132M1[t] -99.749746567234M2[t] -114.917254356113M3[t] -86.954702524727M4[t] -45.2971407566303M5[t] -59.7821994116779M6[t] -46.7920522368219M7[t] -59.1964986084116M8[t] -37.3590286359412M9[t] -44.9661323364949M10[t] -63.3430477153376M11[t] + 0.488172121119932t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-118.13838677002758.247416-2.02820.0482270.024113
X3.783713447590340.624396.059900
M1-19.211819120613229.603294-0.6490.5195130.259756
M2-99.74974656723433.992088-2.93450.0051540.002577
M3-114.91725435611334.398262-3.34080.0016440.000822
M4-86.95470252472732.340004-2.68880.0098920.004946
M5-45.297140756630331.063714-1.45820.1514360.075718
M6-59.782199411677931.533311-1.89580.0641390.032069
M7-46.792052236821931.405516-1.48990.1429230.071462
M8-59.196498608411632.406213-1.82670.0740990.03705
M9-37.359028635941231.67213-1.17960.2441130.122057
M10-44.966132336494931.627685-1.42170.1617060.080853
M11-63.343047715337632.699021-1.93720.058750.029375
t0.4881721211199320.3626471.34610.1847160.092358


Multiple Linear Regression - Regression Statistics
Multiple R0.704334813036706
R-squared0.496087528855452
Adjusted R-squared0.356707483645258
F-TEST (value)3.55924356393571
F-TEST (DF numerator)13
F-TEST (DF denominator)47
p-value0.000665857165168315
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation48.7928286326505
Sum Squared Residuals111894.785920834


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1130192.699407515599-62.6994075155985
2136.7201.188546863712-64.488546863712
3138.1187.64432523023-49.5443252302301
4139.5191.122540428640-51.6225404286396
5140.4175.377458569724-34.9774585697241
6144.6164.785914138628-20.1859141386278
7151.4179.020976124122-27.6209761241217
8147.9181.861184319254-33.9611843192543
9141.5194.349171449110-52.8491714491097
10143.8173.987242803110-30.1872428031097
11143.6201.124689571712-57.5246895717121
12150.5165.822617081303-15.3226170813026
13150.1168.666136733074-18.5661367330744
14154.9155.588109429923-0.688109429922506
15162.1134.4764609012627.6235390987401
16176.7164.44067023280212.2593297671981
17186.6184.2624947812362.33750521876447
18194.8181.99511993483812.8048800651620
19196.3177.31161468238018.9883853176198
20228.8214.96198659534413.8380134046560
21267.2205.50443572917561.6955642708246
22237.2210.11501583727227.0849841627283
23254.7222.49598016027232.2040198397283
24258.2203.08550414974255.1144958502583
25257.9204.41553842247753.4844615775228
26269.6195.49959591167574.1004040883253
27266.9189.14442982861477.7555701713855
28269.6196.78472981937372.8152701806266
29253.9205.25541402503648.6445859749639
30258.6228.33891927749430.2610807225062
31274.2230.84446957545843.3555304245423
32301.5266.98135610938534.5186438906147
33304.5248.06452162424156.4354783757591
34285.1239.8104760105345.28952398947
35287.7240.08355730124147.6164426987591
36265.5229.75399356492835.7460064350723
37264.1232.97588456145831.1241154385416
38276.1213.46554439740362.634455602597
39258.9241.16379934265617.7362006573442
40239.1211.34533620227027.7546637977295
41250.1206.95139468612643.1486053138742
42276.8258.03437945075218.7656205492478
43297.6277.56664026287320.0333597371274
44295.4290.244503421745.15549657825988
45283326.569885271415-43.5698852714146
46275.8305.072842591138-29.2728425911376
47279.7311.399865397993-31.699865397993
48254.6309.394471246379-54.7944712463785
49234.6275.157599111765-40.5575991117649
50176.9248.458203397288-71.5582033972878
51148.1221.670984697240-73.5709846972397
52122.7183.906723316915-61.2067233169146
53124.9184.053237937878-59.1532379378784
54121.6163.245667198288-41.6456671982883
55128.4183.156299355168-54.7562993551677
56144.5164.050969554276-19.5509695542763
57151.8173.511985926059-21.7119859260594
58167.1180.014422757951-12.9144227579510
59173.8164.3959075687829.40409243121765
60203.7224.443413957650-20.7434139576495
61199.8162.58543365562637.2145663443736


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
170.006764989778507260.01352997955701450.993235010221493
180.00108217202813390.00216434405626780.998917827971866
190.0001947932209621730.0003895864419243460.999805206779038
200.0004419106069387940.0008838212138775880.999558089393061
210.06345933250414740.1269186650082950.936540667495853
220.04263464556429190.08526929112858380.957365354435708
230.05742757987530630.1148551597506130.942572420124694
240.03873784361131690.07747568722263370.961262156388683
250.03270918834739400.06541837669478810.967290811652606
260.01949713950768550.0389942790153710.980502860492314
270.00999030057779890.01998060115559780.990009699422201
280.004823619926552750.00964723985310550.995176380073447
290.004631347250425110.009262694500850220.995368652749575
300.01403442793760890.02806885587521790.98596557206239
310.01144513865606490.02289027731212980.988554861343935
320.007677684593879590.01535536918775920.99232231540612
330.004406615457375130.008813230914750260.995593384542625
340.002820977214599630.005641954429199270.9971790227854
350.001743460011547280.003486920023094560.998256539988453
360.00558943326991960.01117886653983920.99441056673008
370.07779194745768430.1555838949153690.922208052542316
380.06289419301551780.1257883860310360.937105806984482
390.0949283886252460.1898567772504920.905071611374754
400.1153512863268320.2307025726536650.884648713673168
410.09330423050504370.1866084610100870.906695769494956
420.1131448049576740.2262896099153480.886855195042326
430.4355265680291890.8710531360583790.564473431970811
440.6819693650902760.6360612698194490.318030634909724


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level80.285714285714286NOK
5% type I error level150.535714285714286NOK
10% type I error level180.642857142857143NOK
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258733524yv3zh41laubgqjy/10rpi71258731992.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258733524yv3zh41laubgqjy/10rpi71258731992.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258733524yv3zh41laubgqjy/1e7fh1258731992.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258733524yv3zh41laubgqjy/1e7fh1258731992.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258733524yv3zh41laubgqjy/2mpp01258731992.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258733524yv3zh41laubgqjy/2mpp01258731992.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258733524yv3zh41laubgqjy/38wi31258731992.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258733524yv3zh41laubgqjy/38wi31258731992.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258733524yv3zh41laubgqjy/4jmob1258731992.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258733524yv3zh41laubgqjy/4jmob1258731992.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258733524yv3zh41laubgqjy/51qrw1258731992.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258733524yv3zh41laubgqjy/51qrw1258731992.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258733524yv3zh41laubgqjy/6wcj21258731992.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258733524yv3zh41laubgqjy/6wcj21258731992.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258733524yv3zh41laubgqjy/7d4f81258731992.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258733524yv3zh41laubgqjy/7d4f81258731992.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258733524yv3zh41laubgqjy/8y10t1258731992.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258733524yv3zh41laubgqjy/8y10t1258731992.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258733524yv3zh41laubgqjy/9z75g1258731992.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258733524yv3zh41laubgqjy/9z75g1258731992.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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