Potié Laurane - centrummaten -goudkoers te brussel

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

Title produced by software: Central Tendency

Date of computation: Sat, 19 Apr 2008 06:00:27 -0600

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2008/Apr/19/t1208606484xq2rwzilahh4wno.htm/, Retrieved Sat, 19 Apr 2008 14:01:24 +0200

User-defined keywords:

Periode: 2000-2008

Dataseries X:

» Textbox « » Textfile « » CSV «

9026 9787 9536 9490 9736 9694 9647 9753 10070 10137 9984 9732 9103 9155 9308 9394 9948 10177 10002 9728 10002 10063 10018 9960 10236 10893 10756 10940 10997 10827 10166 10186 10457 10368 10244 10511 10812 10738 10171 9721 9897 9828 9924 10371 10846 10413 10709 10662 10570 10297 10635 10872 10296 10383 10431 10574 10653 10805 10872 10625 10407 10463 10556 10646 10702 11353 11346 11451 11964 12574 13031 13812 14544 14931 14886 16005 17064 15168 16050 15839 15137 14954 15648 15305 15579 16348 15928 16171 15937 15713 15594 15683 16438 17032 17696 17745 19394

Text written by user:

Bron: Belgostat

Output produced by software:

Summary of compuational transaction Raw Input view raw input (R code) Raw Output view raw output of R engine Computing time 3 seconds R Server 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 Central Tendency - Ungrouped Data Measure Value S.E. Value/S.E. Arithmetic Mean 11858.0412371134 266.489129952105 44.4972792670552 Geometric Mean 11604.2487755574 Harmonic Mean 11384.3791145534 Quadratic Mean 12142.1053278999 Winsorized Mean ( 1 / 32 ) 11841.8350515464 261.897969709368 45.21545189788 Winsorized Mean ( 2 / 32 ) 11841.8969072165 261.545819580061 45.2765673189879 Winsorized Mean ( 3 / 32 ) 11827.0824742268 256.693169573003 46.0747845137469 Winsorized Mean ( 4 / 32 ) 11829.3092783505 256.056361906291 46.1980682310860 Winsorized Mean ( 5 / 32 ) 11803.6391752577 249.364407329812 47.3348995618534 Winsorized Mean ( 6 / 32 ) 11800.9175257732 248.021115917926 47.5802936459583 Winsorized Mean ( 7 / 32 ) 11796.1546391753 244.865394215697 48.1740373193946 Winsorized Mean ( 8 / 32 ) 11790.0515463918 242.672712068753 48.5841669048124 Winsorized Mean ( 9 / 32 ) 11788.3814432990 241.687264397995 48.7753522001335 Winsorized Mean ( 10 / 32 ) 11782.0927835052 240.354798457249 49.0195862913084 Winsorized Mean ( 11 / 32 ) 11781.5257731959 240.130763387539 49.062958893701 Winsorized Mean ( 12 / 32 ) 11771.0103092784 238.116791555560 49.4337683301591 Winsorized Mean ( 13 / 32 ) 11756.4020618557 234.930249235745 50.0420958991044 Winsorized Mean ( 14 / 32 ) 11756.9793814433 233.738282770156 50.2997593808987 Winsorized Mean ( 15 / 32 ) 11757.9072164948 232.239871330448 50.6282885412248 Winsorized Mean ( 16 / 32 ) 11760.3814432990 229.715051825240 51.1955196224838 Winsorized Mean ( 17 / 32 ) 11762.4845360825 228.860315593520 51.3959115435892 Winsorized Mean ( 18 / 32 ) 11716.0927835052 219.744230072182 53.3169529850984 Winsorized Mean ( 19 / 32 ) 11691.6082474227 215.004331230199 54.3784777754306 Winsorized Mean ( 20 / 32 ) 11690.1649484536 213.515114146893 54.7509950064288 Winsorized Mean ( 21 / 32 ) 11654.4432989691 206.562770225386 56.4208317222538 Winsorized Mean ( 22 / 32 ) 11649.2268041237 205.695305069755 56.6334112495823 Winsorized Mean ( 23 / 32 ) 11642.3505154639 203.607438077473 57.1803791914222 Winsorized Mean ( 24 / 32 ) 11568.8659793814 188.709944675044 61.3050149492804 Winsorized Mean ( 25 / 32 ) 11382.0103092784 157.912331515842 72.0780334253787 Winsorized Mean ( 26 / 32 ) 11190.6288659794 123.214035410939 90.8226796456814 Winsorized Mean ( 27 / 32 ) 11071.4948453608 102.895281864655 107.599635714337 Winsorized Mean ( 28 / 32 ) 10896.8556701031 76.4832076634266 142.473831877659 Winsorized Mean ( 29 / 32 ) 10745.2783505155 54.709600698257 196.405716974238 Winsorized Mean ( 30 / 32 ) 10717.7525773196 50.3772986031045 212.749648641523 Winsorized Mean ( 31 / 32 ) 10731.4948453608 48.3504045950853 221.952534528566 Winsorized Mean ( 32 / 32 ) 10619 33.518747639179 316.807779166182 Trimmed Mean ( 1 / 32 ) 11808.5263157895 258.400020559851 45.6986276169988 Trimmed Mean ( 2 / 32 ) 11773.7849462366 254.365199027432 46.2869330838249 Trimmed Mean ( 3 / 32 ) 11737.4835164835 249.917390679917 46.9654532025599 Trimmed Mean ( 4 / 32 ) 11704.9325842697 246.830858331275 47.4208640824006 Trimmed Mean ( 5 / 32 ) 11670.2643678161 243.423436387002 47.942238188037 Trimmed Mean ( 6 / 32 ) 11639.8235294118 241.314694045010 48.235038382042 Trimmed Mean ( 7 / 32 ) 11639.8235294118 239.105045574088 48.6807942570375 Trimmed Mean ( 8 / 32 ) 11576.3333333333 237.125157086836 48.8195072827892 Trimmed Mean ( 9 / 32 ) 11543.5316455696 235.145431968678 49.091030809849 Trimmed Mean ( 10 / 32 ) 11509.2597402597 232.890617634457 49.4191644865855 Trimmed Mean ( 11 / 32 ) 11473.9733333333 230.365887562704 49.8076058687733 Trimmed Mean ( 12 / 32 ) 11436.8219178082 227.301468346234 50.3156534844168 Trimmed Mean ( 13 / 32 ) 11398.7746478873 223.913215436598 50.9071098177988 Trimmed Mean ( 14 / 32 ) 11398.7746478873 220.321596248816 51.7369828557992 Trimmed Mean ( 15 / 32 ) 11319.0597014925 216.088672269973 52.3815505115924 Trimmed Mean ( 16 / 32 ) 11275.4 211.107071356985 53.4108115257454 Trimmed Mean ( 17 / 32 ) 11228.7301587302 205.348268860461 54.6813967365867 Trimmed Mean ( 18 / 32 ) 11178.8032786885 198.304727449404 56.3718445973039 Trimmed Mean ( 19 / 32 ) 11129.7288135593 191.312008326221 58.1757983251169 Trimmed Mean ( 20 / 32 ) 11079.4035087719 183.452268654456 60.3939302033962 Trimmed Mean ( 21 / 32 ) 11025.5454545455 173.692690460233 63.4773140155242 Trimmed Mean ( 22 / 32 ) 10970.7358490566 162.708792180798 67.4255871610562 Trimmed Mean ( 23 / 32 ) 10912.0784313725 148.410062137434 73.5265404125193 Trimmed Mean ( 24 / 32 ) 10849.2244897959 129.39572820345 83.8453064906253 Trimmed Mean ( 25 / 32 ) 10849.2244897959 107.383795922956 101.032231134573 Trimmed Mean ( 26 / 32 ) 10736.0666666667 87.4705687876808 122.739188911948 Trimmed Mean ( 27 / 32 ) 10696.6279069767 72.3620467267534 147.820969566661 Trimmed Mean ( 28 / 32 ) 10696.6279069767 58.4680808500393 182.948161654421 Trimmed Mean ( 29 / 32 ) 10643.0769230769 49.6699414450195 214.276011073174 Trimmed Mean ( 30 / 32 ) 10633.8378378378 45.7102854997728 232.635559405786 Trimmed Mean ( 31 / 32 ) 10633.8378378378 41.6393554028799 255.37950179465 Trimmed Mean ( 32 / 32 ) 10616.0909090909 36.2744787683759 292.660053832283 Median 10635 Midrange 14210 Midmean - Weighted Average at Xnp 10772.25 Midmean - Weighted Average at X(n+1)p 10849.2244897959 Midmean - Empirical Distribution Function 10849.2244897959 Midmean - Empirical Distribution Function - Averaging 10849.2244897959 Midmean - Empirical Distribution Function - Interpolation 10849.2244897959 Midmean - Closest Observation 10832.6 Midmean - True Basic - Statistics Graphics Toolkit 10849.2244897959 Midmean - MS Excel (old versions) 10849.2244897959 Number of observations 97

Charts produced by software:

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Apr/19/t1208606484xq2rwzilahh4wno/1e9kv1208606422.png (open in new window) http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Apr/19/t1208606484xq2rwzilahh4wno/1e9kv1208606422.ps (open in new window) http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Apr/19/t1208606484xq2rwzilahh4wno/2z2mz1208606422.png (open in new window) http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Apr/19/t1208606484xq2rwzilahh4wno/2z2mz1208606422.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