Centrummaten - eigen reeks - Bram Op de Beeck

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 05:01:34 -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/t12086029411fvzuml1fzmajga.htm/, Retrieved Sat, 19 Apr 2008 13:02:21 +0200

User-defined keywords:

Dataseries X:

» Textbox « » Textfile « » CSV «

23.11 18.64 14.94 16.90 15.46 11.15 13.13 12.48 12.95 12.59 10.58 10.58 12.39 15.53 13.06 10.22 16.33 19.72 21.31 18.84 24.84 15.67 15.57 12.73 13.56 15.54 17.22 12.14 11.07 12.02 11.55 6.92 10.33 8.38 12.11 11.46 12.75 13.32 13.00 11.90 11.79 12.55 11.84 11.25 11.15 10.99 11.70 14.01 17.51 17.27 16.90 15.79 15.45 16.24 16.71 16.77 16.64 17.80 16.87 16.13 15.76 15.66 15.54 15.30 15.05 14.69 14.39 14.18 13.70 13.66 13.27 13.56 13.14 14.19 22.57 23.09 23.31 22.91 22.36 43.06 64.67 64.68 56.90 48.79 45.21 41.40 22.17 25.52 20.28 22.87 27.63 22.95 21.35 18.38 17.15 18.27 19.40 20.52

Text written by user:

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 13 seconds R Server 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 Central Tendency - Ungrouped Data Measure Value S.E. Value/S.E. Arithmetic Mean 18.3151020408163 1.06521925080268 17.1937392485305 Geometric Mean 16.5653391637959 Harmonic Mean 15.4574802537575 Quadratic Mean 21.1070626056004 Winsorized Mean ( 1 / 32 ) 18.3298979591837 1.06363349453977 17.2332838832938 Winsorized Mean ( 2 / 32 ) 18.2088775510204 0.992656180408249 18.3435895634394 Winsorized Mean ( 3 / 32 ) 17.9639795918367 0.898275713881018 19.9982915203429 Winsorized Mean ( 4 / 32 ) 17.8280612244898 0.847141226161338 21.0449694501049 Winsorized Mean ( 5 / 32 ) 17.7183673469388 0.811187420007384 21.8425075511865 Winsorized Mean ( 6 / 32 ) 17.6418367346939 0.776538201853797 22.7185690189848 Winsorized Mean ( 7 / 32 ) 16.6639795918367 0.500189985782026 33.3153003169052 Winsorized Mean ( 8 / 32 ) 16.4982653061225 0.462558814600087 35.667389281915 Winsorized Mean ( 9 / 32 ) 16.4358163265306 0.450268567108766 36.5022511610508 Winsorized Mean ( 10 / 32 ) 16.2898979591837 0.420511608063633 38.7382836687796 Winsorized Mean ( 11 / 32 ) 16.2910204081633 0.413797678359274 39.3695307154885 Winsorized Mean ( 12 / 32 ) 16.2995918367347 0.412063639057657 39.5560061402409 Winsorized Mean ( 13 / 32 ) 16.3009183673469 0.406577471856706 40.0930191555031 Winsorized Mean ( 14 / 32 ) 16.3080612244898 0.404123643939653 40.354137821555 Winsorized Mean ( 15 / 32 ) 16.3095918367347 0.402213916305955 40.549546337249 Winsorized Mean ( 16 / 32 ) 16.2704081632653 0.392924560244706 41.4084783937466 Winsorized Mean ( 17 / 32 ) 16.2547959183673 0.38455737231028 42.268844881882 Winsorized Mean ( 18 / 32 ) 16.2364285714286 0.376998992119223 43.0675649294413 Winsorized Mean ( 19 / 32 ) 16.0832653061224 0.351123134851740 45.8051996856133 Winsorized Mean ( 20 / 32 ) 16.1261224489796 0.344047566197921 46.8717817922382 Winsorized Mean ( 21 / 32 ) 15.9761224489796 0.316154692947576 50.5326120578216 Winsorized Mean ( 22 / 32 ) 15.9379591836735 0.306435907962326 52.0107427672378 Winsorized Mean ( 23 / 32 ) 15.8159183673469 0.286513383141929 55.2013249569995 Winsorized Mean ( 24 / 32 ) 15.7718367346939 0.271641546819954 58.0612094111936 Winsorized Mean ( 25 / 32 ) 15.6340816326531 0.251818416670486 62.0847428054113 Winsorized Mean ( 26 / 32 ) 15.6340816326531 0.238680926814548 65.5020149339397 Winsorized Mean ( 27 / 32 ) 15.5762244897959 0.227884161689392 68.3515009306634 Winsorized Mean ( 28 / 32 ) 15.5619387755102 0.221918582625716 70.1245411329824 Winsorized Mean ( 29 / 32 ) 15.4435714285714 0.202380543763485 76.3095658376123 Winsorized Mean ( 30 / 32 ) 15.3578571428571 0.191542634669872 80.1798365639418 Winsorized Mean ( 31 / 32 ) 15.3230612244898 0.177959978678999 86.1039731417883 Winsorized Mean ( 32 / 32 ) 15.3230612244898 0.174184004712399 87.9705415534003 Trimmed Mean ( 1 / 32 ) 18.3151020408163 0.965074997843167 18.9779054288511 Trimmed Mean ( 2 / 32 ) 17.9508333333333 0.84250024943206 21.306620793803 Trimmed Mean ( 3 / 32 ) 17.2077173913043 0.740620843101277 23.2341792046369 Trimmed Mean ( 4 / 32 ) 17.2077173913043 0.664855044657432 25.8819084394113 Trimmed Mean ( 5 / 32 ) 16.6840909090909 0.5933360257084 28.1191267446997 Trimmed Mean ( 6 / 32 ) 16.4483720930233 0.517484943256317 31.7852186954861 Trimmed Mean ( 7 / 32 ) 16.2163095238095 0.431917988929925 37.5448810640774 Trimmed Mean ( 8 / 32 ) 16.2163095238095 0.414908249595895 39.084085552899 Trimmed Mean ( 9 / 32 ) 16.085 0.403757313685375 39.8382876416057 Trimmed Mean ( 10 / 32 ) 16.0360256410256 0.393312153648869 40.7717521369600 Trimmed Mean ( 11 / 32 ) 16.0032894736842 0.386889684089228 41.3639601463072 Trimmed Mean ( 12 / 32 ) 15.9686486486486 0.380465493855842 41.9713453822416 Trimmed Mean ( 13 / 32 ) 15.9311111111111 0.373103317993964 42.6989263905953 Trimmed Mean ( 14 / 32 ) 15.8912857142857 0.365245708240832 43.5084803345793 Trimmed Mean ( 15 / 32 ) 15.8483823529412 0.356223768979866 44.4899631440285 Trimmed Mean ( 16 / 32 ) 15.8483823529412 0.345678451545194 45.8471804710372 Trimmed Mean ( 17 / 32 ) 15.75796875 0.334622520364803 47.0917759295483 Trimmed Mean ( 18 / 32 ) 15.7117741935484 0.322675761360403 48.6921426242474 Trimmed Mean ( 19 / 32 ) 15.6641666666667 0.309438647174764 50.6212356138562 Trimmed Mean ( 20 / 32 ) 15.6268965517241 0.298277998656539 52.3903761662227 Trimmed Mean ( 21 / 32 ) 15.5832142857143 0.285613955598555 54.5604091825867 Trimmed Mean ( 22 / 32 ) 15.5492592592593 0.275475556265995 56.4451505971191 Trimmed Mean ( 23 / 32 ) 15.5159615384615 0.264656962242262 58.6266894587059 Trimmed Mean ( 24 / 32 ) 15.4904 0.255140611092337 60.7131884402123 Trimmed Mean ( 25 / 32 ) 15.4664583333333 0.246027568941721 62.864736662894 Trimmed Mean ( 26 / 32 ) 15.4521739130435 0.238539621486020 64.778227687215 Trimmed Mean ( 27 / 32 ) 15.4521739130435 0.231448683160581 66.7628508489832 Trimmed Mean ( 28 / 32 ) 15.4245238095238 0.224442580232114 68.7236966959304 Trimmed Mean ( 29 / 32 ) 15.4125 0.216397293101227 71.2231644819618 Trimmed Mean ( 30 / 32 ) 15.4097368421053 0.210231020675716 73.2990630620347 Trimmed Mean ( 31 / 32 ) 15.4144444444444 0.204274731146151 75.4593794247412 Trimmed Mean ( 32 / 32 ) 15.4144444444444 0.199226011003101 77.3716462365175 Median 15.54 Midrange 35.8 Midmean - Weighted Average at Xnp 15.4106122448980 Midmean - Weighted Average at X(n+1)p 15.4904 Midmean - Empirical Distribution Function 15.4904 Midmean - Empirical Distribution Function - Averaging 15.4904 Midmean - Empirical Distribution Function - Interpolation 15.4664583333333 Midmean - Closest Observation 15.4904 Midmean - True Basic - Statistics Graphics Toolkit 15.4904 Midmean - MS Excel (old versions) 15.4904 Number of observations 98

Charts produced by software:

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Apr/19/t12086029411fvzuml1fzmajga/1g2ur1208602874.png (open in new window) http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Apr/19/t12086029411fvzuml1fzmajga/1g2ur1208602874.ps (open in new window) http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Apr/19/t12086029411fvzuml1fzmajga/27n1b1208602874.png (open in new window) http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Apr/19/t12086029411fvzuml1fzmajga/27n1b1208602874.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