Home » date » 2009 » Dec » 19 »

*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: Sat, 19 Dec 2009 15:14:52 -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/Dec/19/t1261260945ndwnw8sd61c59tf.htm/, Retrieved Sat, 19 Dec 2009 23:15:58 +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/Dec/19/t1261260945ndwnw8sd61c59tf.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 «
19915 23322 20858 19761 19843 22558 21968 20858 19761 19185 23061 21968 20858 17869 22661 23061 21968 21515 22269 22661 23061 17686 21857 22269 22661 18044 21568 21857 22269 20398 21274 21568 21857 22894 20987 21274 21568 22016 19683 20987 21274 25325 19381 19683 20987 27683 19071 19381 19683 17333 20772 19071 19381 20190 22485 20772 19071 22589 24181 22485 20772 14588 23479 24181 22485 14296 22782 23479 24181 12237 22067 22782 23479 7607 21489 22067 22782 9303 20903 21489 22067 9226 20330 20903 21489 9351 19736 20330 20903 21266 19483 19736 20330 21377 19242 19483 19736 22034 20334 19242 19483 22483 21423 20334 19242 15122 22523 21423 20334 18982 21986 22523 21423 19653 21462 21986 22523 16653 20908 21462 21986 23528 20575 20908 21462 24612 20237 20575 20908 24733 19904 20237 20575 21839 19610 19904 20237 22421 19251 19610 19904 26543 18941 19251 19610 27067 20450 18941 19251 31403 21946 20450 18941 25762 23409 21946 20450 29359 22741 23409 21946 34174 22069 22741 234 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


Multiple Linear Regression - Estimated Regression Equation
X[t] = + 9900.68216907901 -0.00471812005872899Y[t] -0.56526794567411X1[t] + 1.11839925045814X2[t] + 117.241170415241M1[t] -790.09409085441M2[t] -1676.42406361342M3[t] -2187.26848383598M4[t] -600.875914435188M5[t] + 1023.58767688915M6[t] + 785.650338535605M7[t] + 457.358804732008M8[t] + 193.922136287785M9[t] -216.611067566657M10[t] + 212.757644255395M11[t] -6.13384599065014t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)9900.682169079012342.985324.22570.000136.5e-05
Y-0.004718120058728990.007216-0.65380.5168850.258442
X1-0.565267945674110.216706-2.60850.0126330.006317
X21.118399250458140.2117785.2815e-062e-06
M1117.241170415241393.9906290.29760.7675310.383766
M2-790.09409085441447.69196-1.76480.0850430.042522
M3-1676.42406361342563.017217-2.97760.004860.00243
M4-2187.26848383598484.977155-4.515.3e-052.7e-05
M5-600.875914435188426.212172-1.40980.1661380.083069
M61023.58767688915386.5068182.64830.0114320.005716
M7785.650338535605342.9663852.29080.0271910.013596
M8457.358804732008307.1476161.48910.1441260.072063
M9193.922136287785284.7913640.68090.4997460.249873
M10-216.611067566657278.867676-0.77680.4417630.220882
M11212.757644255395232.9461720.91330.3664070.183203
t-6.133845990650143.388652-1.81010.0776120.038806


Multiple Linear Regression - Regression Statistics
Multiple R0.974951444117692
R-squared0.950530318387173
Adjusted R-squared0.93243165438248
F-TEST (value)52.5193637574966
F-TEST (DF numerator)15
F-TEST (DF denominator)41
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation326.7935313191
Sum Squared Residuals4378554.49659231


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11991520212.0822749267-297.082274926661
21984319901.6543694456-58.6543694455693
31976119648.6900730407112.309926959266
42085820586.4384118452271.561588154798
52196821923.720204042244.2797959577834
62306123354.5935185189-293.593518518917
72266122811.4151923048-150.415192304763
82226922308.8547505381-39.8547505380529
92185721860.9303292104-3.93032921036739
102156821864.5346050544-296.534605054392
112127420984.4755086076289.524491392376
122098720591.9351807837395.06481921629
131968319443.6505045825239.349495417539
141938119450.7948624039-69.7948624039197
151907119504.1357538049-433.135753804873
162077221318.5303928218-546.53039282179
172248522509.0422916023-24.0422916023209
182418123761.7289497246419.271050275406
192347923066.5720697744412.427930225621
202278222408.9570077607373.042992239250
212206721808.2663606732258.733639326807
222148921085.9359350387403.064064961334
232090320931.6380358537-28.6380358537261
242033020565.4973988227-235.497398822712
251973619786.6981023322-50.6981023321769
261948319476.82574782676.17425217330837
271924219215.234054336726.7659456632720
282033420213.8319070278120.16809297222
292142321486.5447779157-63.5447779157272
302252322846.146118089-323.146118088991
312198622138.2788994967-152.278899496704
322146221617.3726927941-155.372692794082
332090821157.4465650867-249.446565086729
342057520548.195580317226.8044196827740
352023720842.8063131368-605.80631313676
361990420378.1944642531-474.194464253134
371961019287.1363961027322.863603897305
381925119195.233142480655.7668575193872
391894119175.5225131464-234.522513146397
402045020655.3902602125-205.390260212509
412194621845.7005957268100.299404273165
422340923078.1636361028330.83636389722
432274122415.2967881444325.703211855635
442206921819.5810301379249.418969862111
452153921416.4918527254122.508147274589
462118921322.3338795897-133.333879589717
472096020615.0801424019344.919857598110
482070420389.3729561404314.627043859556
491969719911.432722056-214.432722056006
501959819531.491877843266.5081221567936
511945618927.4176056713528.582394328732
522031619955.8090280927360.190971907281
532108321139.9921307129-56.9921307129004
542215822291.3677775647-133.367777564716
552146921904.4370502798-435.43705027979
562089221319.2345187692-427.234518769225
572057820705.8648923043-127.864892304300


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
190.2472910586591350.4945821173182690.752708941340865
200.3189938752422510.6379877504845020.681006124757749
210.432586402016740.865172804033480.56741359798326
220.4516852972212570.9033705944425130.548314702778743
230.4517919941971550.903583988394310.548208005802845
240.5655752645370420.8688494709259170.434424735462958
250.4543043582264090.9086087164528180.545695641773591
260.3519405264869390.7038810529738770.648059473513061
270.2855499260935680.5710998521871360.714450073906432
280.2493545104313200.4987090208626390.75064548956868
290.2258205824747280.4516411649494550.774179417525272
300.2131758451096890.4263516902193780.78682415489031
310.1390909946882370.2781819893764750.860909005311763
320.08695664798571040.1739132959714210.91304335201429
330.04978509035083870.09957018070167740.950214909649161
340.03477067250713970.06954134501427940.96522932749286
350.03338473420562530.06676946841125050.966615265794375
360.1434960514343000.2869921028686000.8565039485657
370.1762231327168850.3524462654337690.823776867283115
380.120644628048030.241289256096060.87935537195197


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 level30.15NOK
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Dec/19/t1261260945ndwnw8sd61c59tf/101ubh1261260888.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/19/t1261260945ndwnw8sd61c59tf/101ubh1261260888.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/19/t1261260945ndwnw8sd61c59tf/1a07s1261260888.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/19/t1261260945ndwnw8sd61c59tf/1a07s1261260888.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/19/t1261260945ndwnw8sd61c59tf/23x911261260888.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/19/t1261260945ndwnw8sd61c59tf/23x911261260888.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/19/t1261260945ndwnw8sd61c59tf/3oype1261260888.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/19/t1261260945ndwnw8sd61c59tf/3oype1261260888.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/19/t1261260945ndwnw8sd61c59tf/4zjog1261260888.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/19/t1261260945ndwnw8sd61c59tf/4zjog1261260888.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/19/t1261260945ndwnw8sd61c59tf/555jx1261260888.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/19/t1261260945ndwnw8sd61c59tf/555jx1261260888.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/19/t1261260945ndwnw8sd61c59tf/6xpsy1261260888.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/19/t1261260945ndwnw8sd61c59tf/6xpsy1261260888.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/19/t1261260945ndwnw8sd61c59tf/7y2j11261260888.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/19/t1261260945ndwnw8sd61c59tf/7y2j11261260888.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/19/t1261260945ndwnw8sd61c59tf/8mbgm1261260888.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/19/t1261260945ndwnw8sd61c59tf/8mbgm1261260888.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/19/t1261260945ndwnw8sd61c59tf/98qor1261260888.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/19/t1261260945ndwnw8sd61c59tf/98qor1261260888.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