WS3_Part 2 Central Tendency

*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, 18 Oct 2009 12:59:29 -0600

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2009/Oct/18/t1255892441idkrv1dphvkljhx.htm/, Retrieved Sun, 18 Oct 2009 21:00:42 +0200

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/Oct/18/t1255892441idkrv1dphvkljhx.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 «

-14.22222222 4.666666667 -1.375 -5.208333333 -9.055555556 -2.441860465 -2.95 -2.780487805 -5.9 -7.208333333 -6.642857143 -11.1875 -35.66666667 19.4 19.375 38.5 -3.5 -1.6 2.333333333 -3.5 9.5 3.5 4.1 3.882352941 5.935483871 5.121212121 2.967741935 -1.228571429 -0.983333333 -1.350877193 -1.14893617 -0.547619048 -1.333333333 0.522727273 -2.08 16.66666667 9 7.578947368 -5.571428571 -4.111111111 -3.823529412 -0.290322581 1.952380952 -35 -10.16666667 -0.657894737 1.1 2.075757576 2.320754717 1.763157895 0.468085106 0.257575758 -1.636363636 -1.043478261 -0.483333333 -0.5 -0.625 -1.962962963 -2.366666667 -1.951219512 -2.225 -2.851851852 -0.423076923 1.290322581 2.181818182 3.633333333 6.5 11.46153846 13.4 8.307692308 3.4375 2.111111111 3.272727273 7.6 4.25 5.5 1 -1.307692308 4.363636364 2.25 1.8 1.483606557 1.24137931 0.98125 0.910179641 0.926380368 1.059171598

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 2 seconds R Server 'RServer@AstonUniversity' @ vre.aston.ac.uk Central Tendency - Ungrouped Data Measure Value S.E. Value/S.E. Arithmetic Mean 0.609659835643678 0.95376455931528 0.639214185187758 Geometric Mean NaN Harmonic Mean -22.0174175020205 Quadratic Mean 8.86583514911607 Winsorized Mean ( 1 / 29 ) 0.397782441045977 0.870658102359425 0.456875597858693 Winsorized Mean ( 2 / 29 ) 0.874857792310345 0.690900056089246 1.26625809999549 Winsorized Mean ( 3 / 29 ) 0.88611258162069 0.63800828583026 1.38887315619665 Winsorized Mean ( 4 / 29 ) 0.782855876333333 0.5872780193721 1.33302430962824 Winsorized Mean ( 5 / 29 ) 0.735307001275862 0.547042836405031 1.34414885332936 Winsorized Mean ( 6 / 29 ) 0.727423122862069 0.492265271349045 1.47770554861321 Winsorized Mean ( 7 / 29 ) 0.732691322057471 0.475661237375528 1.54036373890820 Winsorized Mean ( 8 / 29 ) 0.737339547436781 0.450998574285173 1.63490438657252 Winsorized Mean ( 9 / 29 ) 0.69812014616092 0.431252404648447 1.61882029789497 Winsorized Mean ( 10 / 29 ) 0.737435388229885 0.423867829657571 1.73977673376542 Winsorized Mean ( 11 / 29 ) 0.739746001954023 0.377170850383094 1.96130215578075 Winsorized Mean ( 12 / 29 ) 0.70154814954023 0.357741792584573 1.9610461066675 Winsorized Mean ( 13 / 29 ) 0.684819322333333 0.339822534494469 2.01522633968960 Winsorized Mean ( 14 / 29 ) 0.623864951 0.329968026027512 1.89068304135621 Winsorized Mean ( 15 / 29 ) 0.640322631344828 0.304311395362391 2.10416908831921 Winsorized Mean ( 16 / 29 ) 0.602643154563219 0.293394724174055 2.05403541682537 Winsorized Mean ( 17 / 29 ) 0.594383046643678 0.288198132614812 2.06241116571735 Winsorized Mean ( 18 / 29 ) 0.633409392850575 0.274286936849876 2.30929478496184 Winsorized Mean ( 19 / 29 ) 0.602298910563218 0.265236343056274 2.27080083982092 Winsorized Mean ( 20 / 29 ) 0.577620073551724 0.252878019698281 2.28418458132861 Winsorized Mean ( 21 / 29 ) 0.580436165586207 0.243901248801925 2.37979989211775 Winsorized Mean ( 22 / 29 ) 0.59422714045977 0.237977292640991 2.49699092659321 Winsorized Mean ( 23 / 29 ) 0.553771124965517 0.231588157694976 2.39118930120290 Winsorized Mean ( 24 / 29 ) 0.556494032 0.209450565499254 2.65692303419435 Winsorized Mean ( 25 / 29 ) 0.384642030275862 0.184715547201034 2.08234789168689 Winsorized Mean ( 26 / 29 ) 0.448124282965517 0.175998856339709 2.54617724390525 Winsorized Mean ( 27 / 29 ) 0.433652310896552 0.172393855800510 2.51547428348238 Winsorized Mean ( 28 / 29 ) 0.417355037057471 0.169038061096663 2.46900037985416 Winsorized Mean ( 29 / 29 ) 0.402333021724138 0.165160698027103 2.43600945339983 Trimmed Mean ( 1 / 29 ) 0.590671439658824 0.753558027750423 0.783843337748175 Trimmed Mean ( 2 / 29 ) 0.792856293626506 0.597596223020548 1.32674247775365 Trimmed Mean ( 3 / 29 ) 0.748818451740741 0.535709617270254 1.39780662433577 Trimmed Mean ( 4 / 29 ) 0.698419340772152 0.487361729774994 1.43306151899658 Trimmed Mean ( 5 / 29 ) 0.674568760922078 0.44983918349664 1.49957759499427 Trimmed Mean ( 6 / 29 ) 0.66047748916 0.41873559917196 1.57731391949020 Trimmed Mean ( 7 / 29 ) 0.647180068767123 0.3981181919917 1.62559782945215 Trimmed Mean ( 8 / 29 ) 0.632211298070423 0.378000626599763 1.67251388908364 Trimmed Mean ( 9 / 29 ) 0.615642171811594 0.360133446595279 1.70948346406564 Trimmed Mean ( 10 / 29 ) 0.603742364567164 0.343401820737972 1.7581222000213 Trimmed Mean ( 11 / 29 ) 0.585848067553846 0.324855363464601 1.80341202098603 Trimmed Mean ( 12 / 29 ) 0.566527547650794 0.312705377236304 1.81169749192603 Trimmed Mean ( 13 / 29 ) 0.55048001709836 0.302011857602051 1.82270994744751 Trimmed Mean ( 14 / 29 ) 0.535242051576271 0.292570690321448 1.82944522224082 Trimmed Mean ( 15 / 29 ) 0.525580156526316 0.282973047762092 1.85735058756618 Trimmed Mean ( 16 / 29 ) 0.513480041 0.276070971728087 1.85995665457267 Trimmed Mean ( 17 / 29 ) 0.504332410245283 0.269524585069581 1.87119260424827 Trimmed Mean ( 18 / 29 ) 0.495296187215686 0.262253624834641 1.88861521943877 Trimmed Mean ( 19 / 29 ) 0.48167277577551 0.255676527279355 1.88391472968197 Trimmed Mean ( 20 / 29 ) 0.469920845510638 0.249019567095573 1.88708401910555 Trimmed Mean ( 21 / 29 ) 0.459509920133333 0.242870643427362 1.89199449405982 Trimmed Mean ( 22 / 29 ) 0.447859218744186 0.236592935996522 1.89295262285755 Trimmed Mean ( 23 / 29 ) 0.433741691926829 0.229441077879512 1.89042736346716 Trimmed Mean ( 24 / 29 ) 0.422100041230769 0.221304098293065 1.90733043123222 Trimmed Mean ( 25 / 29 ) 0.408933062405405 0.215498787271665 1.8976118964878 Trimmed Mean ( 26 / 29 ) 0.411348285028571 0.213254856344996 1.92890465464058 Trimmed Mean ( 27 / 29 ) 0.407619250272727 0.211598023710968 1.92638495919751 Trimmed Mean ( 28 / 29 ) 0.404913304903226 0.209438955121498 1.93332374423053 Trimmed Mean ( 29 / 29 ) 0.403580262172414 0.206469277400351 1.95467464822797 Median 0.522727273 Midrange 1.416666665 Midmean - Weighted Average at Xnp 0.390407872863636 Midmean - Weighted Average at X(n+1)p 0.459509920133333 Midmean - Empirical Distribution Function 0.459509920133333 Midmean - Empirical Distribution Function - Averaging 0.459509920133333 Midmean - Empirical Distribution Function - Interpolation 0.447859218744186 Midmean - Closest Observation 0.390407872863636 Midmean - True Basic - Statistics Graphics Toolkit 0.459509920133333 Midmean - MS Excel (old versions) 0.459509920133333 Number of observations 87

Charts produced by software:

http://www.freestatistics.org/blog/date/2009/Oct/18/t1255892441idkrv1dphvkljhx/1nj7l1255892364.png (open in new window) http://www.freestatistics.org/blog/date/2009/Oct/18/t1255892441idkrv1dphvkljhx/1nj7l1255892364.ps (open in new window) http://www.freestatistics.org/blog/date/2009/Oct/18/t1255892441idkrv1dphvkljhx/2bagl1255892364.png (open in new window) http://www.freestatistics.org/blog/date/2009/Oct/18/t1255892441idkrv1dphvkljhx/2bagl1255892364.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