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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: Tue, 21 Dec 2010 20:36:54 +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/21/t1292963746suge1ziuyxe1x56.htm/, Retrieved Tue, 21 Dec 2010 21:35:46 +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/21/t1292963746suge1ziuyxe1x56.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 «
112,3 1 117,2 96,8 80 126,1 117,3 1 112,3 117,2 96,8 80 111,1 1 117,3 112,3 117,2 96,8 102,2 1 111,1 117,3 112,3 117,2 104,3 1 102,2 111,1 117,3 112,3 122,9 0 104,3 102,2 111,1 117,3 107,6 0 122,9 104,3 102,2 111,1 121,3 0 107,6 122,9 104,3 102,2 131,5 0 121,3 107,6 122,9 104,3 89 0 131,5 121,3 107,6 122,9 104,4 0 89 131,5 121,3 107,6 128,9 0 104,4 89 131,5 121,3 135,9 0 128,9 104,4 89 131,5 133,3 0 135,9 128,9 104,4 89 121,3 0 133,3 135,9 128,9 104,4 120,5 0 121,3 133,3 135,9 128,9 120,4 0 120,5 121,3 133,3 135,9 137,9 0 120,4 120,5 121,3 133,3 126,1 0 137,9 120,4 120,5 121,3 133,2 0 126,1 137,9 120,4 120,5 151,1 0 133,2 126,1 137,9 120,4 105 0 151,1 133,2 126,1 137,9 119 0 105 151,1 133,2 126,1 140,4 0 119 105 151,1 133,2 156,6 1 140,4 119 105 151,1 137,1 1 156,6 140,4 119 105 122,7 1 137,1 156,6 140,4 119 125,8 1 122,7 137,1 156,6 140,4 139,3 1 125,8 122,7 137,1 156,6 134,9 1 139,3 125,8 122,7 137,1 149,2 1 134,9 139,3 125,8 122,7 132,3 1 149,2 134,9 139,3 125,8 149 1 132,3 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
R Framework
error message
Warning: there are blank lines in the 'Data X' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.


Multiple Linear Regression - Estimated Regression Equation
Y[t] = + 36.8237007045577 -0.824448773739979X[t] + 0.376099529769240Y1[t] + 0.352836564802845Y2[t] + 0.284327425700985Y3[t] -0.124456499746576Y4[t] + 3.23567226815469M1[t] -23.9939024131591M2[t] -39.1093984489867M3[t] -34.921357299371M4[t] -19.7510994500274M5[t] -7.68983270275417M6[t] -17.4063077063867M7[t] -23.5023389425598M8[t] -7.22853404842681M9[t] -44.4354552559275M10[t] -30.5172429008307M11[t] -0.0939055582967211t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)36.823700704557710.6662893.45230.0012810.00064
X-0.8244487737399793.016003-0.27340.7859180.392959
Y10.3760995297692400.1519842.47460.017460.00873
Y20.3528365648028450.1570222.2470.029950.014975
Y30.2843274257009850.1533991.85350.0708410.035421
Y4-0.1244564997465760.148062-0.84060.4053470.202674
M13.235672268154699.781020.33080.7424320.371216
M2-23.993902413159110.617577-2.25980.0290790.014539
M3-39.10939844898678.156355-4.7952.1e-051e-05
M4-34.9213572993715.996148-5.8241e-060
M5-19.75109945002746.168581-3.20190.0026030.001302
M6-7.689832702754176.507724-1.18160.2439930.121997
M7-17.40630770638677.738292-2.24940.029790.014895
M8-23.50233894255987.866716-2.98760.004680.00234
M9-7.228534048426816.460081-1.1190.2695190.134759
M10-44.43545525592757.415133-5.992500
M11-30.51724290083078.378217-3.64250.0007360.000368
t-0.09390555829672110.08445-1.1120.2724790.13624


Multiple Linear Regression - Regression Statistics
Multiple R0.938042895159454
R-squared0.87992447315913
Adjusted R-squared0.83132247419973
F-TEST (value)18.1046971729329
F-TEST (DF numerator)17
F-TEST (DF denominator)42
p-value4.27435864480685e-14
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation7.79061769767403
Sum Squared Residuals2549.1364126751


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1112.3124.426692440582-12.1266924405816
2117.3112.9723358171734.32766418282654
3111.1101.6239429929199.47605700708099
4102.2101.2183273429180.98167265708199
5104.3112.791281094504-8.49128109450415
6122.9120.8475421049122.05245789508827
7107.6117.014685792466-9.4146857924663
8121.3113.3379367395777.96206326042334
9131.5134.299131660338-2.79913166033848
108999.0032805274749-10.0032805274749
11104.4106.241760448297-1.84176044829746
12128.9128.6565622407790.243437759221261
13135.9133.093078638242.80692136176006
14133.3126.7148345397086.58516546029159
15121.3118.0468219553813.25317804461913
16120.5115.6514958570974.84850414290258
17120.4124.582482941646-4.18248294164614
18137.9133.1416227167334.75837728326727
19126.1131.143716325683-5.043716325683
20133.2126.7615774212136.43842257878684
21151.1146.4364875534794.6635124465207
22105112.839929611815-7.83992961181475
23119119.129134015710-0.129134015710474
24140.4142.757918909450-2.35791890944956
25156.6142.7282130195913.8717869804100
26137.1138.766276247153-1.66627624715293
27122.7126.281102085884-3.58110208588355
28125.8120.0218266366495.7781733633507
29139.3123.62266083975615.6773391602439
30134.9140.093745846470-5.19374584647019
31149.2136.06540959441813.1345904055815
32132.3137.153820288265-4.85382028826516
33149149.091997028019-0.0919970280188442
34117.2116.7225852506090.477414749391365
35119.6117.8944361922321.70556380776819
36152144.8517925004057.14820749959497
37149.4149.905956047254-0.505956047254019
38127.3137.676624243479-10.3766242434791
39114.1122.151560966287-8.05156096628736
40102.1108.711852783898-6.61185278389793
41107.7108.657518853666-0.957518853665662
42104.4117.494365256862-13.0943652568621
43102.1106.649637697833-4.54963769783328
4496101.516022901929-5.51602290192929
45109.3112.954954103733-3.65495410373255
469078.260701408620111.7392985913799
4783.988.0708662453928-4.17086624539284
48112113.930990165917-1.93099016591675
49114.3118.346059854334-4.0460598543345
50103.6102.4699291524861.13007084751393
5191.792.7965719995292-1.09657199952921
5280.885.7964973794373-4.99649737943734
5387.289.246056270428-2.04605627042797
54109.297.722724075023311.4772759249768
55102.796.8265505895995.87344941040104
5695.199.1306426490157-4.03064264901573
57117.5115.6174296544311.88257034556918
5885.179.47350320148175.62649679851834
5992.187.66380309836744.43619690163258
60113.5116.60273618345-3.10273618344991


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
210.02206193664098060.04412387328196130.97793806335902
220.00530551167637840.01061102335275680.994694488323622
230.001009010464567000.002018020929134000.998990989535433
240.001412404167852080.002824808335704150.998587595832148
250.0004332929523417200.0008665859046834390.999566707047658
260.001990386607449660.003980773214899320.99800961339255
270.05130142029633810.1026028405926760.948698579703662
280.1117893021025940.2235786042051880.888210697897406
290.1215910500950890.2431821001901780.87840894990491
300.1069410877900610.2138821755801230.893058912209939
310.3574015462471820.7148030924943650.642598453752818
320.2621141987244850.5242283974489690.737885801275516
330.2764179455879170.5528358911758350.723582054412083
340.1853528036352230.3707056072704450.814647196364777
350.1377785820450890.2755571640901770.862221417954911
360.2193708693470720.4387417386941430.780629130652928
370.2751750951684370.5503501903368730.724824904831563
380.3618615096924250.723723019384850.638138490307575
390.3190774042426170.6381548084852340.680922595757383


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level40.210526315789474NOK
5% type I error level60.315789473684211NOK
10% type I error level60.315789473684211NOK
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Dec/21/t1292963746suge1ziuyxe1x56/10i7361292963806.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/21/t1292963746suge1ziuyxe1x56/10i7361292963806.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/21/t1292963746suge1ziuyxe1x56/1u66u1292963806.png (open in new window)
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http://www.freestatistics.org/blog/date/2010/Dec/21/t1292963746suge1ziuyxe1x56/2u66u1292963806.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/21/t1292963746suge1ziuyxe1x56/2u66u1292963806.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/21/t1292963746suge1ziuyxe1x56/3mfnx1292963806.png (open in new window)
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http://www.freestatistics.org/blog/date/2010/Dec/21/t1292963746suge1ziuyxe1x56/4mfnx1292963806.png (open in new window)
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http://www.freestatistics.org/blog/date/2010/Dec/21/t1292963746suge1ziuyxe1x56/5mfnx1292963806.png (open in new window)
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http://www.freestatistics.org/blog/date/2010/Dec/21/t1292963746suge1ziuyxe1x56/6f7m01292963806.png (open in new window)
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http://www.freestatistics.org/blog/date/2010/Dec/21/t1292963746suge1ziuyxe1x56/7qy3l1292963806.png (open in new window)
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http://www.freestatistics.org/blog/date/2010/Dec/21/t1292963746suge1ziuyxe1x56/8qy3l1292963806.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/21/t1292963746suge1ziuyxe1x56/8qy3l1292963806.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/21/t1292963746suge1ziuyxe1x56/9qy3l1292963806.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/21/t1292963746suge1ziuyxe1x56/9qy3l1292963806.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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Software written by Ed van Stee & Patrick Wessa


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