Home » date » 2009 » Nov » 27 »

Revieuw WS 7 lineair trend + seasonal dummies

*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 03:12:00 -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/t1259316819o2424nlrv955rl3.htm/, Retrieved Fri, 27 Nov 2009 11:13:50 +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/t1259316819o2424nlrv955rl3.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 «
101.3 0 106.3 0 94 0 102.8 0 102 0 105.1 1 92.4 0 81.4 0 105.8 0 120.3 1 100.7 0 88.8 0 94.3 0 99.9 0 103.4 0 103.3 0 98.8 0 104.2 0 91.2 0 74.7 0 108.5 0 114.5 0 96.9 0 89.6 0 97.1 0 100.3 0 122.6 0 115.4 1 109 0 129.1 1 102.8 1 96.2 0 127.7 1 128.9 1 126.5 1 119.8 1 113.2 1 114.1 1 134.1 1 130 1 121.8 1 132.1 1 105.3 1 103 1 117.1 1 126.3 1 138.1 1 119.5 1 138 1 135.5 1 178.6 1 162.2 1 176.9 1 204.9 1 132.2 1 142.5 1 164.3 1 174.9 1 175.4 1 143 1
 
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
Omzet[t] = + 69.4259210526316 + 2.7171052631579Uitvoer[t] + 9.73680921052626M1[t] + 11.0355921052631M2[t] + 25.214375M3[t] + 19.7297368421053M4[t] + 18.0919407894737M5[t] + 29.2438815789473M6[t] -1.65391447368423M7[t] -7.4717105263158M8[t] + 15.9636513157895M9[t] + 22.5790131578947M10[t] + 16.5212171052632M11[t] + 1.14121710526316t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)69.42592105263167.6561339.06800
Uitvoer2.71710526315796.3949310.42490.6729020.336451
M19.736809210526269.1876271.05980.2947810.14739
M211.03559210526319.1706111.20340.2349920.117496
M325.2143759.1570782.75350.0084130.004206
M419.72973684210539.2163292.14070.0376280.018814
M518.09194078947379.1405231.97930.0537840.026892
M629.24388157894739.3731743.120.003120.00156
M7-1.653914473684239.147976-0.18080.8573220.428661
M8-7.47171052631589.142076-0.81730.4179770.208988
M915.96365131578959.1197861.75040.086710.043355
M1022.57901315789479.2397182.44370.0184330.009216
M1116.52121710526329.1056581.81440.0761420.038071
t1.141217105263160.1794056.361100


Multiple Linear Regression - Regression Statistics
Multiple R0.878199108374596
R-squared0.771233673949935
Adjusted R-squared0.706582320935786
F-TEST (value)11.9291188504771
F-TEST (DF numerator)13
F-TEST (DF denominator)46
p-value1.04085629004658e-10
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation14.3945146815591
Sum Squared Residuals9531.29443421052


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1101.380.303947368421220.9960526315788
2106.382.74394736842123.556052631579
39498.063947368421-4.06394736842103
4102.893.72052631578959.07947368421052
510293.2239473684218.77605263157896
6105.1108.234210526316-3.13421052631583
792.475.760526315789516.6394736842105
881.471.08394736842110.3160526315790
9105.895.660526315789510.1394736842105
10120.3106.13421052631614.1657894736842
11100.798.50052631578952.19947368421053
1288.883.12052631578955.67947368421054
1394.393.9985526315790.301447368421092
1499.996.4385526315793.46144736842105
15103.4111.758552631579-8.35855263157894
16103.3107.415131578947-4.11513157894737
1798.8106.918552631579-8.11855263157896
18104.2119.211710526316-15.0117105263158
1991.289.45513157894741.74486842105265
2074.784.778552631579-10.0785526315789
21108.5109.355131578947-0.855131578947372
22114.5117.111710526316-2.61171052631578
2396.9112.195131578947-15.2951315789474
2489.696.8151315789474-7.21513157894738
2597.1107.693157894737-10.5931578947368
26100.3110.133157894737-9.83315789473684
27122.6125.453157894737-2.85315789473685
28115.4123.826842105263-8.42684210526314
29109120.613157894737-11.6131578947368
30129.1135.623421052632-6.52342105263157
31102.8105.866842105263-3.06684210526315
3296.298.4731578947369-2.27315789473685
33127.7125.7668421052631.93315789473684
34128.9133.523421052632-4.62342105263158
35126.5128.606842105263-2.10684210526316
36119.8113.2268421052636.57315789473683
37113.2124.104868421053-10.9048684210526
38114.1126.544868421053-12.4448684210526
39134.1141.864868421053-7.76486842105265
40130137.521447368421-7.52144736842104
41121.8137.024868421053-15.2248684210526
42132.1149.318026315789-17.2180263157895
43105.3119.561447368421-14.2614473684211
44103114.884868421053-11.8848684210527
45117.1139.461447368421-22.3614473684211
46126.3147.218026315789-20.9180263157895
47138.1142.301447368421-4.20144736842106
48119.5126.921447368421-7.42144736842106
49138137.7994736842100.200526315789507
50135.5140.239473684211-4.73947368421053
51178.6155.55947368421123.0405263157895
52162.2151.21605263157910.9839473684210
53176.9150.71947368421126.1805263157895
54204.9163.01263157894741.8873684210526
55132.2133.256052631579-1.05605263157896
56142.5128.57947368421113.9205263157895
57164.3153.15605263157911.1439473684211
58174.9160.91263157894713.9873684210526
59175.4155.99605263157919.4039473684211
60143140.6160526315792.38394736842104


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
170.0954859519315070.1909719038630140.904514048068493
180.03366194578706560.06732389157413110.966338054212935
190.01132122577807730.02264245155615460.988678774221923
200.004565022982962930.009130045965925850.995434977017037
210.001845660971871010.003691321943742010.99815433902813
220.0006743159906732930.001348631981346590.999325684009327
230.0001979483432360050.0003958966864720110.999802051656764
245.52006808433995e-050.0001104013616867990.999944799319157
251.35594276635181e-052.71188553270361e-050.999986440572336
263.20813177835689e-066.41626355671378e-060.999996791868222
270.001667470326614390.003334940653228770.998332529673386
280.0007342682139039250.001468536427807850.999265731786096
290.0003706970829478680.0007413941658957360.999629302917052
300.0007110717995608910.001422143599121780.99928892820044
310.000491305862420050.00098261172484010.99950869413758
320.0004633872768662770.0009267745537325530.999536612723134
330.0005809259086284560.001161851817256910.999419074091372
340.0005099591166174430.001019918233234890.999490040883383
350.0006174023997880.0012348047995760.999382597600212
360.02216266251967550.04432532503935110.977837337480324
370.02069105769586060.04138211539172130.97930894230414
380.03324340896043810.06648681792087620.966756591039562
390.02017485341689480.04034970683378960.979825146583105
400.01469741871540360.02939483743080720.985302581284596
410.0101034055189160.0202068110378320.989896594481084
420.2113155581211260.4226311162422520.788684441878874
430.2132797772836000.4265595545672010.7867202227164


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level160.592592592592593NOK
5% type I error level220.814814814814815NOK
10% type I error level240.888888888888889NOK
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Nov/27/t1259316819o2424nlrv955rl3/10ast61259316715.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t1259316819o2424nlrv955rl3/10ast61259316715.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/27/t1259316819o2424nlrv955rl3/1v0x71259316715.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t1259316819o2424nlrv955rl3/1v0x71259316715.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/27/t1259316819o2424nlrv955rl3/2qiip1259316715.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t1259316819o2424nlrv955rl3/2qiip1259316715.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/27/t1259316819o2424nlrv955rl3/3bjg21259316715.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t1259316819o2424nlrv955rl3/3bjg21259316715.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/27/t1259316819o2424nlrv955rl3/4stwo1259316715.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t1259316819o2424nlrv955rl3/4stwo1259316715.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/27/t1259316819o2424nlrv955rl3/5vgky1259316715.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t1259316819o2424nlrv955rl3/5vgky1259316715.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/27/t1259316819o2424nlrv955rl3/6ocyn1259316715.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t1259316819o2424nlrv955rl3/6ocyn1259316715.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/27/t1259316819o2424nlrv955rl3/7i8nh1259316715.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t1259316819o2424nlrv955rl3/7i8nh1259316715.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/27/t1259316819o2424nlrv955rl3/8ad9e1259316715.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t1259316819o2424nlrv955rl3/8ad9e1259316715.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/27/t1259316819o2424nlrv955rl3/9zh9v1259316715.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/27/t1259316819o2424nlrv955rl3/9zh9v1259316715.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')
}
 





Copyright

Creative Commons License

This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa


Disclaimer

Information provided on this web site is provided "AS IS" without warranty of any kind, either express or implied, including, without limitation, warranties of merchantability, fitness for a particular purpose, and noninfringement. We use reasonable efforts to include accurate and timely information and periodically update the information, and software without notice. However, we make no warranties or representations as to the accuracy or completeness of such information (or software), and we assume no liability or responsibility for errors or omissions in the content of this web site, or any software bugs in online applications. Your use of this web site is AT YOUR OWN RISK. Under no circumstances and under no legal theory shall we be liable to you or any other person for any direct, indirect, special, incidental, exemplary, or consequential damages arising from your access to, or use of, this web site.


Privacy Policy

We may request personal information to be submitted to our servers in order to be able to:

  • personalize online software applications according to your needs
  • enforce strict security rules with respect to the data that you upload (e.g. statistical data)
  • manage user sessions of online applications
  • alert you about important changes or upgrades in resources or applications

We NEVER allow other companies to directly offer registered users information about their products and services. Banner references and hyperlinks of third parties NEVER contain any personal data of the visitor.

We do NOT sell, nor transmit by any means, personal information, nor statistical data series uploaded by you to third parties.

We carefully protect your data from loss, misuse, alteration, and destruction. However, at any time, and under any circumstance you are solely responsible for managing your passwords, and keeping them secret.

We store a unique ANONYMOUS USER ID in the form of a small 'Cookie' on your computer. This allows us to track your progress when using this website which is necessary to create state-dependent features. The cookie is used for NO OTHER PURPOSE. At any time you may opt to disallow cookies from this website - this will not affect other features of this website.

We examine cookies that are used by third-parties (banner and online ads) very closely: abuse from third-parties automatically results in termination of the advertising contract without refund. We have very good reason to believe that the cookies that are produced by third parties (banner ads) do NOT cause any privacy or security risk.

FreeStatistics.org is safe. There is no need to download any software to use the applications and services contained in this website. Hence, your system's security is not compromised by their use, and your personal data - other than data you submit in the account application form, and the user-agent information that is transmitted by your browser - is never transmitted to our servers.

As a general rule, we do not log on-line behavior of individuals (other than normal logging of webserver 'hits'). However, in cases of abuse, hacking, unauthorized access, Denial of Service attacks, illegal copying, hotlinking, non-compliance with international webstandards (such as robots.txt), or any other harmful behavior, our system engineers are empowered to log, track, identify, publish, and ban misbehaving individuals - even if this leads to ban entire blocks of IP addresses, or disclosing user's identity.


FreeStatistics.org is powered by