Home » date » 2009 » Nov » 22 »

WS 7 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: Sun, 22 Nov 2009 09:57:43 -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/22/t1258909485qiq6vfna16yu739.htm/, Retrieved Sun, 22 Nov 2009 18:04:57 +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/22/t1258909485qiq6vfna16yu739.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:
WS 7 Model 4
 
Dataseries X:
» Textbox « » Textfile « » CSV «
277128 0 277915 276687 283042 286602 277103 0 277128 277915 276687 283042 275037 0 277103 277128 277915 276687 270150 0 275037 277103 277128 277915 267140 0 270150 275037 277103 277128 264993 0 267140 270150 275037 277103 287259 0 264993 267140 270150 275037 291186 0 287259 264993 267140 270150 292300 0 291186 287259 264993 267140 288186 0 292300 291186 287259 264993 281477 0 288186 292300 291186 287259 282656 0 281477 288186 292300 291186 280190 0 282656 281477 288186 292300 280408 0 280190 282656 281477 288186 276836 0 280408 280190 282656 281477 275216 0 276836 280408 280190 282656 274352 0 275216 276836 280408 280190 271311 0 274352 275216 276836 280408 289802 0 271311 274352 275216 276836 290726 0 289802 271311 274352 275216 292300 0 290726 289802 271311 274352 278506 0 292300 290726 289802 271311 269826 0 278506 292300 290726 289802 265861 0 269826 278506 292300 290726 269034 0 265861 269826 278506 292300 264176 0 269034 265861 269826 278506 255198 0 264176 269034 265861 269826 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 time3 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135
R Framework
error message
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.


Multiple Linear Regression - Estimated Regression Equation
nwwmb[t] = + 19383.0482520845 + 5208.18468261152dummy_variable[t] + 0.925680076204517`y[t-1]`[t] + 0.170923414732768`y[t-2]`[t] + 0.155111372936063`y[t-3]`[t] -0.305318747860637`y[t-4] `[t] + 837.730352246995M1[t] -2931.44490665555M2[t] -8038.39352053068M3[t] -5571.84238247885M4[t] -8599.4415923363M5[t] -5578.99689219737M6[t] + 17664.8784464577M7[t] + 1152.70424096104M8[t] -6679.57569678684M9[t] -16111.3074526013M10[t] -9459.3839340622M11[t] -99.011851773791t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)19383.048252084512923.977141.49980.1419360.070968
dummy_variable5208.184682611522029.5742772.56610.014350.007175
`y[t-1]`0.9256800762045170.1463036.327200
`y[t-2]`0.1709234147327680.2085230.81970.4175060.208753
`y[t-3]`0.1551113729360630.2141730.72420.4733580.236679
`y[t-4] `-0.3053187478606370.156157-1.95520.0579420.028971
M1837.7303522469952718.7860250.30810.7596690.379834
M2-2931.444906655552997.827815-0.97790.334330.167165
M3-8038.393520530682788.968873-2.88220.0064630.003232
M4-5571.842382478852547.179392-2.18750.0349320.017466
M5-8599.44159233632448.908336-3.51150.0011660.000583
M6-5578.996892197372466.297078-2.26210.0294940.014747
M717664.87844645772403.3447457.350100
M81152.704240961044660.8386540.24730.8059940.402997
M9-6679.575696786845008.747669-1.33360.190280.09514
M10-16111.30745260134385.432377-3.67380.0007330.000367
M11-9459.38393406222597.248662-3.64210.0008040.000402
t-99.01185177379154.96703-1.80130.0795960.039798


Multiple Linear Regression - Regression Statistics
Multiple R0.987230121934677
R-squared0.974623313655158
Adjusted R-squared0.963270585553518
F-TEST (value)85.8492606296439
F-TEST (DF numerator)17
F-TEST (DF denominator)38
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation3474.57074208821
Sum Squared Residuals458760389.987466


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1277128281072.501427316-3944.50142731563
2277103276786.900017334316.099982666263
3275037273554.0582310051482.94176899508
4270150273507.865321602-3357.86532160251
5267140265740.7360229651399.26397703518
6264993264727.741986366265.258013634064
7287259285243.4501248322015.54987516802
8291186289901.6915611571284.30843884250
9292300289997.3114966982302.68850330244
10288186286278.2209251081907.77907489212
11281477283024.188564035-1547.18856403507
12282656284444.801433459-1788.80143345883
13280190284149.918280959-3959.9182809593
14280408278415.9619360031992.03806399682
15276836275221.5623743241614.43762567553
16275216273577.3582834241638.64171657631
17274352269127.337372445224.66262755993
18271311270351.469391936959.53060806381
19289802291372.980079952-1570.98007995215
20290726291719.366352895-993.366352894611
21292300287596.0495286634703.95047133746
22278506283476.898305438-4970.89830543822
23269826272027.686397730-2201.68639772965
24265861270957.468613717-5096.4686137172
25269034263922.0723847465111.92761525363
26264176265178.556907356-1002.55690735615
27255198258053.132764192-2855.1327641916
28253353252982.327599127370.672400872754
29246057244890.9789427431166.02105725731
30235372240833.944825825-5461.94482582471
31258556255295.8306997963260.16930020383
32260993257750.9153556933242.08464430695
33254663256608.434923616-1945.43492361564
34250643248493.1096863972149.89031360285
35243422243542.338797006-120.338797006029
36247105243805.3461425743299.65385742575
37248541248028.226340678512.773659321764
38245039246226.148898321-1187.14889832082
39237080240799.884694185-3719.88469418512
40237085234299.6134387232785.38656127730
41225554228835.613569664-3281.61356966443
42226839226126.763596810712.236403189713
43247934250921.015557418-2987.01555741829
44248333252266.571460549-3933.57146054875
45246969252030.204051024-5061.20405102425
46245098244184.771083057913.228916943247
47246263242393.7862412293869.21375877075
48255765252179.3838102503585.61618975027
49264319262039.2815663002279.71843369953
50268347268465.432240986-118.432240986103
51273046269568.3619362943477.63806370610
52273963275399.835357124-1436.83535712385
53267430271938.334092188-4508.33409218799
54271993268468.0801990633524.91980093712
55292710293427.723538001-717.723538001405
56295881295480.455269706400.544730293901


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
210.02563041871909400.05126083743818790.974369581280906
220.5955904819706410.8088190360587180.404409518029359
230.447338573017630.894677146035260.55266142698237
240.4808341156660410.9616682313320820.519165884333959
250.4673739722549890.9347479445099780.532626027745011
260.3682505050006440.7365010100012880.631749494999356
270.3461881734853050.6923763469706090.653811826514695
280.4534570464166260.9069140928332520.546542953583374
290.3620209759133060.7240419518266120.637979024086694
300.4811707488706940.9623414977413890.518829251129306
310.5664588767503540.8670822464992910.433541123249646
320.7452185949868990.5095628100262020.254781405013101
330.682203020710820.635593958578360.31779697928918
340.6362773274439660.7274453451120680.363722672556034
350.4649821105263080.9299642210526160.535017889473692


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level00OK
10% type I error level10.0666666666666667OK
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Nov/22/t1258909485qiq6vfna16yu739/103ak21258909059.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/22/t1258909485qiq6vfna16yu739/103ak21258909059.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/22/t1258909485qiq6vfna16yu739/1eith1258909059.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/22/t1258909485qiq6vfna16yu739/1eith1258909059.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/22/t1258909485qiq6vfna16yu739/29hc51258909059.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/22/t1258909485qiq6vfna16yu739/29hc51258909059.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/22/t1258909485qiq6vfna16yu739/3aua81258909059.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/22/t1258909485qiq6vfna16yu739/3aua81258909059.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/22/t1258909485qiq6vfna16yu739/494nk1258909059.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/22/t1258909485qiq6vfna16yu739/494nk1258909059.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/22/t1258909485qiq6vfna16yu739/55lkw1258909059.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/22/t1258909485qiq6vfna16yu739/55lkw1258909059.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/22/t1258909485qiq6vfna16yu739/6l6sv1258909059.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/22/t1258909485qiq6vfna16yu739/6l6sv1258909059.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/22/t1258909485qiq6vfna16yu739/7dg491258909059.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/22/t1258909485qiq6vfna16yu739/7dg491258909059.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/22/t1258909485qiq6vfna16yu739/87hm91258909059.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/22/t1258909485qiq6vfna16yu739/87hm91258909059.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/22/t1258909485qiq6vfna16yu739/9uduu1258909059.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/22/t1258909485qiq6vfna16yu739/9uduu1258909059.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