*The author of this computation has been verified*

R Software Module: /rwasp_centraltendency.wasp (opens new window with default values)

Title produced by software: Central Tendency

Date of computation: Sun, 20 Dec 2009 16:15:18 -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/21/t1261350958rxkapp2facltpf8.htm/, Retrieved Mon, 21 Dec 2009 00:16:00 +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/21/t1261350958rxkapp2facltpf8.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 «

2.15418755068342 -1.20867705435185 2.23402074997159 -0.315227856696888 -2.05471111867122 -0.188755235805451 -1.70607988548339 1.31473818526770 4.24600077923484 3.01614099882724 -1.88865472594506 -1.17988420280436 2.93517243273008 3.81666419198670 2.37339834074884 -2.64727172073952 -1.57580042750357 2.23831035286297 -2.32836444385928 -5.05451947276176 -7.29938271711795 1.24786578858060 -1.85142811909361 2.43220645318740 -5.62593007807252 -0.664726380986282 0.641476856006124 -5.6313219882853 0.835799675983572 2.51019230081246 2.49476121131850 -3.52573557314125 2.47478456766280 -2.15782857688021 4.64089426989528 0.0911415552623357 -2.34057414315528 -2.02314875239176 0.60616742530706 1.98646775057574 2.10970012609582 -0.0166472188729180 2.84625223680116 -0.223047331629558 4.86646710195109 -2.40167652490070 1.41841309876503 -0.183355621630165 1.19504251622018 1.41569212113938 -4.87374431587117 2.20007052398130 1.74739380116604 -2.97258774402668 2.17595443105776 etc...

Output produced by software:

Summary of computational transaction Raw Input view raw input (R code) Raw Output view raw output of R engine Computing time 1 seconds R Server 'Gwilym Jenkins' @ 72.249.127.135 Central Tendency - Ungrouped Data Measure Value S.E. Value/S.E. Arithmetic Mean -2.75712612463064e-18 0.323411487124367 -8.52513356636089e-18 Geometric Mean NaN Harmonic Mean -1.45747101473654 Quadratic Mean 2.78209080734178 Winsorized Mean ( 1 / 25 ) -0.00322455995667492 0.310969286159803 -0.0103693840523461 Winsorized Mean ( 2 / 25 ) -0.00833024905671815 0.309843102614015 -0.0268853783945467 Winsorized Mean ( 3 / 25 ) 0.0133774719320558 0.304233238934259 0.0439711057835681 Winsorized Mean ( 4 / 25 ) 0.0105595614339214 0.299569376847631 0.0352491350919767 Winsorized Mean ( 5 / 25 ) 0.0811817845630015 0.281105550089726 0.288794669963254 Winsorized Mean ( 6 / 25 ) 0.0499917245237127 0.273903901027218 0.182515562342228 Winsorized Mean ( 7 / 25 ) -0.0165167824411966 0.259543377234315 -0.0636378497390256 Winsorized Mean ( 8 / 25 ) -0.0205441470055338 0.257351187327505 -0.0798292295399021 Winsorized Mean ( 9 / 25 ) 0.0281870399960563 0.245351368841450 0.114884380426144 Winsorized Mean ( 10 / 25 ) -0.0146313001536504 0.238330629044551 -0.0613907671553007 Winsorized Mean ( 11 / 25 ) 0.0308184901360190 0.230249766570986 0.133848084169578 Winsorized Mean ( 12 / 25 ) 0.0615959974278174 0.224563139309993 0.27429255583566 Winsorized Mean ( 13 / 25 ) 0.0599807070643739 0.222632158524076 0.269416186152134 Winsorized Mean ( 14 / 25 ) 0.0604089706683212 0.219363993470445 0.275382343805024 Winsorized Mean ( 15 / 25 ) 0.0437439413481391 0.216307604053310 0.202230252327875 Winsorized Mean ( 16 / 25 ) 0.0716869226793626 0.209821011034896 0.341657502867719 Winsorized Mean ( 17 / 25 ) 0.0940879032180208 0.206362200233027 0.455935743618624 Winsorized Mean ( 18 / 25 ) 0.0935148168874216 0.204159619170813 0.458047567228175 Winsorized Mean ( 19 / 25 ) 0.121477226713289 0.198588812459405 0.611702266652714 Winsorized Mean ( 20 / 25 ) 0.125599820440518 0.196423946639170 0.639432322736312 Winsorized Mean ( 21 / 25 ) 0.153840846966852 0.189212761869132 0.813057456839274 Winsorized Mean ( 22 / 25 ) 0.145944570856589 0.180462171104114 0.80872667087879 Winsorized Mean ( 23 / 25 ) 0.121042377894827 0.176412569416277 0.686132390086137 Winsorized Mean ( 24 / 25 ) 0.0813927968674314 0.168829968424170 0.482099224605310 Winsorized Mean ( 25 / 25 ) -0.0265047797551751 0.154328387841984 -0.171742737196952 Trimmed Mean ( 1 / 25 ) 0.00716456013128206 0.302607350184260 0.023676094208946 Trimmed Mean ( 2 / 25 ) 0.0181389827594056 0.292730285083159 0.0619648313950594 Trimmed Mean ( 3 / 25 ) 0.0325244348333859 0.281717109625282 0.115450690505264 Trimmed Mean ( 4 / 25 ) 0.0396688239756733 0.271210107123316 0.146266023771881 Trimmed Mean ( 5 / 25 ) 0.0480657266319479 0.260379529835724 0.184598715045968 Trimmed Mean ( 6 / 25 ) 0.0401809509340780 0.253350403852208 0.158598329914317 Trimmed Mean ( 7 / 25 ) 0.0381705465099725 0.246892989574358 0.154603606103917 Trimmed Mean ( 8 / 25 ) 0.0481016595156327 0.242674045313345 0.198215097348062 Trimmed Mean ( 9 / 25 ) 0.059392088219772 0.237939799177210 0.249609726599536 Trimmed Mean ( 10 / 25 ) 0.0641201258294259 0.234746628094124 0.273146099477587 Trimmed Mean ( 11 / 25 ) 0.0752641955440121 0.232089418485960 0.324289646787861 Trimmed Mean ( 12 / 25 ) 0.0812061347696797 0.230247390142267 0.352690793669815 Trimmed Mean ( 13 / 25 ) 0.0837074277979784 0.228799041160112 0.365855675677419 Trimmed Mean ( 14 / 25 ) 0.0866198730598775 0.227026663632397 0.381540527768724 Trimmed Mean ( 15 / 25 ) 0.0897402185826818 0.225082259345222 0.398699652490346 Trimmed Mean ( 16 / 25 ) 0.0950886229122798 0.222830953623527 0.426729865694206 Trimmed Mean ( 17 / 25 ) 0.097764122176714 0.220870139016922 0.442631686709011 Trimmed Mean ( 18 / 25 ) 0.0981799840498693 0.218583936759227 0.449163765213067 Trimmed Mean ( 19 / 25 ) 0.0987053407123071 0.215555702649707 0.457911061962069 Trimmed Mean ( 20 / 25 ) 0.0961370828926475 0.212281723589418 0.452874987385112 Trimmed Mean ( 21 / 25 ) 0.092789044534935 0.207794718251641 0.446541881890216 Trimmed Mean ( 22 / 25 ) 0.0857554267432394 0.202912279595977 0.422623149835923 Trimmed Mean ( 23 / 25 ) 0.0786799003976263 0.197902490866694 0.397569025296526 Trimmed Mean ( 24 / 25 ) 0.073563659154003 0.191220118028865 0.384706692540051 Trimmed Mean ( 25 / 25 ) 0.0725850169398245 0.183242055608517 0.396115491603615 Median 0.0911415552623357 Midrange -0.261506444791795 Midmean - Weighted Average at Xnp 0.0428670751043052 Midmean - Weighted Average at X(n+1)p 0.0981799840498692 Midmean - Empirical Distribution Function 0.0981799840498692 Midmean - Empirical Distribution Function - Averaging 0.0981799840498692 Midmean - Empirical Distribution Function - Interpolation 0.098705340712307 Midmean - Closest Observation 0.0428670751043052 Midmean - True Basic - Statistics Graphics Toolkit 0.0981799840498692 Midmean - MS Excel (old versions) 0.0981799840498692 Number of observations 75

Charts produced by software:

http://www.freestatistics.org/blog/date/2009/Dec/21/t1261350958rxkapp2facltpf8/1xe3g1261350916.png (open in new window) http://www.freestatistics.org/blog/date/2009/Dec/21/t1261350958rxkapp2facltpf8/1xe3g1261350916.ps (open in new window) http://www.freestatistics.org/blog/date/2009/Dec/21/t1261350958rxkapp2facltpf8/2doin1261350916.png (open in new window) http://www.freestatistics.org/blog/date/2009/Dec/21/t1261350958rxkapp2facltpf8/2doin1261350916.ps (open in new window)

Parameters (Session):

Parameters (R input):

R code (references can be found in the software module):

geomean <- function(x) { return(exp(mean(log(x)))) } harmean <- function(x) { return(1/mean(1/x)) } quamean <- function(x) { return(sqrt(mean(x*x))) } winmean <- function(x) { x <-sort(x[!is.na(x)]) n<-length(x) denom <- 3 nodenom <- n/denom if (nodenom>40) denom <- n/40 sqrtn = sqrt(n) roundnodenom = floor(nodenom) win <- array(NA,dim=c(roundnodenom,2)) for (j in 1:roundnodenom) { win[j,1] <- (j*x[j+1]+sum(x[(j+1):(n-j)])+j*x[n-j])/n win[j,2] <- sd(c(rep(x[j+1],j),x[(j+1):(n-j)],rep(x[n-j],j)))/sqrtn } return(win) } trimean <- function(x) { x <-sort(x[!is.na(x)]) n<-length(x) denom <- 3 nodenom <- n/denom if (nodenom>40) denom <- n/40 sqrtn = sqrt(n) roundnodenom = floor(nodenom) tri <- array(NA,dim=c(roundnodenom,2)) for (j in 1:roundnodenom) { tri[j,1] <- mean(x,trim=j/n) tri[j,2] <- sd(x[(j+1):(n-j)]) / sqrt(n-j*2) } return(tri) } midrange <- function(x) { return((max(x)+min(x))/2) } q1 <- function(data,n,p,i,f) { np <- n*p; i <<- floor(np) f <<- np - i qvalue <- (1-f)*data[i] + f*data[i+1] } q2 <- function(data,n,p,i,f) { np <- (n+1)*p i <<- floor(np) f <<- np - i qvalue <- (1-f)*data[i] + f*data[i+1] } q3 <- function(data,n,p,i,f) { np <- n*p i <<- floor(np) f <<- np - i if (f==0) { qvalue <- data[i] } else { qvalue <- data[i+1] } } q4 <- function(data,n,p,i,f) { np <- n*p i <<- floor(np) f <<- np - i if (f==0) { qvalue <- (data[i]+data[i+1])/2 } else { qvalue <- data[i+1] } } q5 <- function(data,n,p,i,f) { np <- (n-1)*p i <<- floor(np) f <<- np - i if (f==0) { qvalue <- data[i+1] } else { qvalue <- data[i+1] + f*(data[i+2]-data[i+1]) } } q6 <- function(data,n,p,i,f) { np <- n*p+0.5 i <<- floor(np) f <<- np - i qvalue <- data[i] } q7 <- function(data,n,p,i,f) { np <- (n+1)*p i <<- floor(np) f <<- np - i if (f==0) { qvalue <- data[i] } else { qvalue <- f*data[i] + (1-f)*data[i+1] } } q8 <- function(data,n,p,i,f) { np <- (n+1)*p i <<- floor(np) f <<- np - i if (f==0) { qvalue <- data[i] } else { if (f == 0.5) { qvalue <- (data[i]+data[i+1])/2 } else { if (f < 0.5) { qvalue <- data[i] } else { qvalue <- data[i+1] } } } } midmean <- function(x,def) { x <-sort(x[!is.na(x)]) n<-length(x) if (def==1) { qvalue1 <- q1(x,n,0.25,i,f) qvalue3 <- q1(x,n,0.75,i,f) } if (def==2) { qvalue1 <- q2(x,n,0.25,i,f) qvalue3 <- q2(x,n,0.75,i,f) } if (def==3) { qvalue1 <- q3(x,n,0.25,i,f) qvalue3 <- q3(x,n,0.75,i,f) } if (def==4) { qvalue1 <- q4(x,n,0.25,i,f) qvalue3 <- q4(x,n,0.75,i,f) } if (def==5) { qvalue1 <- q5(x,n,0.25,i,f) qvalue3 <- q5(x,n,0.75,i,f) } if (def==6) { qvalue1 <- q6(x,n,0.25,i,f) qvalue3 <- q6(x,n,0.75,i,f) } if (def==7) { qvalue1 <- q7(x,n,0.25,i,f) qvalue3 <- q7(x,n,0.75,i,f) } if (def==8) { qvalue1 <- q8(x,n,0.25,i,f) qvalue3 <- q8(x,n,0.75,i,f) } midm <- 0 myn <- 0 roundno4 <- round(n/4) round3no4 <- round(3*n/4) for (i in 1:n) { if ((x[i]>=qvalue1) & (x[i]<=qvalue3)){ midm = midm + x[i] myn = myn + 1 } } midm = midm / myn return(midm) } (arm <- mean(x)) sqrtn <- sqrt(length(x)) (armse <- sd(x) / sqrtn) (armose <- arm / armse) (geo <- geomean(x)) (har <- harmean(x)) (qua <- quamean(x)) (win <- winmean(x)) (tri <- trimean(x)) (midr <- midrange(x)) midm <- array(NA,dim=8) for (j in 1:8) midm[j] <- midmean(x,j) midm bitmap(file='test1.png') lb <- win[,1] - 2*win[,2] ub <- win[,1] + 2*win[,2] if ((ylimmin == '') | (ylimmax == '')) plot(win[,1],type='b',main=main, xlab='j', pch=19, ylab='Winsorized Mean(j/n)', ylim=c(min(lb),max(ub))) else plot(win[,1],type='l',main=main, xlab='j', pch=19, ylab='Winsorized Mean(j/n)', ylim=c(ylimmin,ylimmax)) lines(ub,lty=3) lines(lb,lty=3) grid() dev.off() bitmap(file='test2.png') lb <- tri[,1] - 2*tri[,2] ub <- tri[,1] + 2*tri[,2] if ((ylimmin == '') | (ylimmax == '')) plot(tri[,1],type='b',main=main, xlab='j', pch=19, ylab='Trimmed Mean(j/n)', ylim=c(min(lb),max(ub))) else plot(tri[,1],type='l',main=main, xlab='j', pch=19, ylab='Trimmed Mean(j/n)', ylim=c(ylimmin,ylimmax)) lines(ub,lty=3) lines(lb,lty=3) grid() dev.off() load(file='createtable') a<-table.start() a<-table.row.start(a) a<-table.element(a,'Central Tendency - Ungrouped Data',4,TRUE) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Measure',header=TRUE) a<-table.element(a,'Value',header=TRUE) a<-table.element(a,'S.E.',header=TRUE) a<-table.element(a,'Value/S.E.',header=TRUE) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,hyperlink('http://www.xycoon.com/arithmetic_mean.htm', 'Arithmetic Mean', 'click to view the definition of the Arithmetic Mean'),header=TRUE) a<-table.element(a,arm) a<-table.element(a,hyperlink('http://www.xycoon.com/arithmetic_mean_standard_error.htm', armse, 'click to view the definition of the Standard Error of the Arithmetic Mean')) a<-table.element(a,armose) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,hyperlink('http://www.xycoon.com/geometric_mean.htm', 'Geometric Mean', 'click to view the definition of the Geometric Mean'),header=TRUE) a<-table.element(a,geo) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,hyperlink('http://www.xycoon.com/harmonic_mean.htm', 'Harmonic Mean', 'click to view the definition of the Harmonic Mean'),header=TRUE) a<-table.element(a,har) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,hyperlink('http://www.xycoon.com/quadratic_mean.htm', 'Quadratic Mean', 'click to view the definition of the Quadratic Mean'),header=TRUE) a<-table.element(a,qua) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) for (j in 1:length(win[,1])) { a<-table.row.start(a) mylabel <- paste('Winsorized Mean (',j) mylabel <- paste(mylabel,'/') mylabel <- paste(mylabel,length(win[,1])) mylabel <- paste(mylabel,')') a<-table.element(a,hyperlink('http://www.xycoon.com/winsorized_mean.htm', mylabel, 'click to view the definition of the Winsorized Mean'),header=TRUE) a<-table.element(a,win[j,1]) a<-table.element(a,win[j,2]) a<-table.element(a,win[j,1]/win[j,2]) a<-table.row.end(a) } for (j in 1:length(tri[,1])) { a<-table.row.start(a) mylabel <- paste('Trimmed Mean (',j) mylabel <- paste(mylabel,'/') mylabel <- paste(mylabel,length(tri[,1])) mylabel <- paste(mylabel,')') a<-table.element(a,hyperlink('http://www.xycoon.com/arithmetic_mean.htm', mylabel, 'click to view the definition of the Trimmed Mean'),header=TRUE) a<-table.element(a,tri[j,1]) a<-table.element(a,tri[j,2]) a<-table.element(a,tri[j,1]/tri[j,2]) a<-table.row.end(a) } a<-table.row.start(a) a<-table.element(a,hyperlink('http://www.xycoon.com/median_1.htm', 'Median', 'click to view the definition of the Median'),header=TRUE) a<-table.element(a,median(x)) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,hyperlink('http://www.xycoon.com/midrange.htm', 'Midrange', 'click to view the definition of the Midrange'),header=TRUE) a<-table.element(a,midr) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean') mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_1.htm','Weighted Average at Xnp',''),sep=' - ') a<-table.element(a,mylabel,header=TRUE) a<-table.element(a,midm[1]) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean') mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_2.htm','Weighted Average at X(n+1)p',''),sep=' - ') a<-table.element(a,mylabel,header=TRUE) a<-table.element(a,midm[2]) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean') mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_3.htm','Empirical Distribution Function',''),sep=' - ') a<-table.element(a,mylabel,header=TRUE) a<-table.element(a,midm[3]) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean') mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_4.htm','Empirical Distribution Function - Averaging',''),sep=' - ') a<-table.element(a,mylabel,header=TRUE) a<-table.element(a,midm[4]) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean') mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_5.htm','Empirical Distribution Function - Interpolation',''),sep=' - ') a<-table.element(a,mylabel,header=TRUE) a<-table.element(a,midm[5]) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean') mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_6.htm','Closest Observation',''),sep=' - ') a<-table.element(a,mylabel,header=TRUE) a<-table.element(a,midm[6]) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean') mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_7.htm','True Basic - Statistics Graphics Toolkit',''),sep=' - ') a<-table.element(a,mylabel,header=TRUE) a<-table.element(a,midm[7]) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean') mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_8.htm','MS Excel (old versions)',''),sep=' - ') a<-table.element(a,mylabel,header=TRUE) a<-table.element(a,midm[8]) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Number of observations',header=TRUE) a<-table.element(a,length(x)) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.end(a) table.save(a,file='mytable.tab')

Copyright

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