Central Tendency: BEL 20

*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: Fri, 12 Dec 2008 06:08:46 -0700

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2008/Dec/12/t1229087374ohx4n5xph9mx739.htm/, Retrieved Fri, 12 Dec 2008 14:09:36 +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/2008/Dec/12/t1229087374ohx4n5xph9mx739.htm/}, year = {2008}, } @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 = {2008}, 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:

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3032,93 3045,78 3110,52 3013,24 2987,1 2995,55 2833,18 2848,96 2794,83 2845,26 2915,02 2892,63 2604,42 2641,65 2659,81 2638,53 2720,25 2745,88 2735,7 2811,7 2799,43 2555,28 2304,98 2214,95 2065,81 1940,49 2042 1995,37 1946,81 1765,9 1635,25 1833,42 1910,43 1959,67 1969,6 2061,41 2093,48 2120,88 2174,56 2196,72 2350,44 2440,25 2408,64 2472,81 2407,6 2454,62 2448,05 2497,84 2645,64 2756,76 2849,27 2921,44 2981,85 3080,58 3106,22 3119,31 3061,26 3097,31 3161,69 3257,16 3277,01 3295,32 3363,99 3494,17 3667,03 3813,06 3917,96 3895,51 3801,06 3570,12 3701,61 3862,27 3970,1 4138,52 4199,75 4290,89 4443,91 4502,64 4356,98 4591,27 4696,96 4621,4 4562,84 4202,52 4296,49 4435,23 4105,18 4116,68 3844,49 3720,98 3674,4 3857,62 3801,06 3504,37 3032,6 3047,03 2962,34 2197,82 2014,45

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 'George Udny Yule' @ 72.249.76.132 Central Tendency - Ungrouped Data Measure Value S.E. Value/S.E. Arithmetic Mean 3058.84595959596 79.8462871047743 38.3091821862943 Geometric Mean 2956.92708959004 Harmonic Mean 2856.55632799435 Quadratic Mean 3159.32440592122 Winsorized Mean ( 1 / 33 ) 3059.40242424242 79.4601634363217 38.5023424560936 Winsorized Mean ( 2 / 33 ) 3060.15777777778 79.1178065953603 38.6784961497812 Winsorized Mean ( 3 / 33 ) 3061.6298989899 78.5897279954091 38.9571255313258 Winsorized Mean ( 4 / 33 ) 3060.41212121212 77.9432073750337 39.2646418370566 Winsorized Mean ( 5 / 33 ) 3057.76515151515 77.3451436295181 39.5340290033178 Winsorized Mean ( 6 / 33 ) 3058.01848484849 77.135381319844 39.6448222919691 Winsorized Mean ( 7 / 33 ) 3053.18777777778 76.0451969524798 40.1496465277839 Winsorized Mean ( 8 / 33 ) 3050.38212121212 74.9015587951394 40.7252154732202 Winsorized Mean ( 9 / 33 ) 3051.60757575758 74.5674335908175 40.9241330807094 Winsorized Mean ( 10 / 33 ) 3045.46414141414 72.6917286261498 41.8956076430212 Winsorized Mean ( 11 / 33 ) 3047.31303030303 72.3398550640203 42.1249534935642 Winsorized Mean ( 12 / 33 ) 3040.42454545455 71.0770422742203 42.7764640757612 Winsorized Mean ( 13 / 33 ) 3041.1901010101 70.1217950811508 43.3701119244107 Winsorized Mean ( 14 / 33 ) 3043.43858585859 69.3372388660563 43.8932763350703 Winsorized Mean ( 15 / 33 ) 3031.10525252525 65.1318536532158 46.5379853713958 Winsorized Mean ( 16 / 33 ) 3026.26 63.4281125576527 47.7116514739311 Winsorized Mean ( 17 / 33 ) 3022.59383838384 62.8531759632595 48.0897550849408 Winsorized Mean ( 18 / 33 ) 3019.66474747475 61.5868414202526 49.0310052900641 Winsorized Mean ( 19 / 33 ) 3036.05080808081 59.2200004540363 51.2673215941166 Winsorized Mean ( 20 / 33 ) 3042.58212121212 57.7034958986493 52.7278646436973 Winsorized Mean ( 21 / 33 ) 3048.04 55.3012104543466 55.1170575645226 Winsorized Mean ( 22 / 33 ) 3045.60444444444 54.8984327658337 55.4770744992905 Winsorized Mean ( 23 / 33 ) 3052.94818181818 54.0388108867362 56.4954730076699 Winsorized Mean ( 24 / 33 ) 3035.42575757576 51.1178564388162 59.3809280952324 Winsorized Mean ( 25 / 33 ) 3032.19343434343 50.2561778322873 60.3347402276062 Winsorized Mean ( 26 / 33 ) 3029.82454545455 48.7294683075365 62.1764334946776 Winsorized Mean ( 27 / 33 ) 3034.64090909091 47.6673748448007 63.6628494640482 Winsorized Mean ( 28 / 33 ) 3023.47767676768 42.1405207958607 71.7475156848243 Winsorized Mean ( 29 / 33 ) 3018.61212121212 37.990999213205 79.4559812515514 Winsorized Mean ( 30 / 33 ) 3025.85757575758 36.4511451706602 83.0113172464362 Winsorized Mean ( 31 / 33 ) 2986.07111111111 31.1351621541342 95.9067146118785 Winsorized Mean ( 32 / 33 ) 2965.16444444444 28.2893340342881 104.815632663905 Winsorized Mean ( 33 / 33 ) 2963.78444444444 27.0215912731553 109.682084022521 Trimmed Mean ( 1 / 33 ) 3056.63443298969 78.3363722421751 39.0193513626106 Trimmed Mean ( 2 / 33 ) 3053.74989473684 77.060078252635 39.6281701755529 Trimmed Mean ( 3 / 33 ) 3050.33924731183 75.8113108314462 40.2359385935662 Trimmed Mean ( 4 / 33 ) 3046.24483516483 74.6058351545328 40.8311873844061 Trimmed Mean ( 5 / 33 ) 3042.30505617978 73.4393540295593 41.4260868219953 Trimmed Mean ( 6 / 33 ) 3038.78655172414 72.2670523867852 42.0494049689484 Trimmed Mean ( 7 / 33 ) 3035.05329411765 70.9669257324145 42.7671519203399 Trimmed Mean ( 8 / 33 ) 3031.96325301205 69.7122048896898 43.4925743319943 Trimmed Mean ( 9 / 33 ) 3029.14925925926 68.4952306976659 44.2242361753587 Trimmed Mean ( 10 / 33 ) 3026.02215189873 67.1426967763548 45.0685226716182 Trimmed Mean ( 11 / 33 ) 3023.52246753247 65.9157085034917 45.8695284656207 Trimmed Mean ( 12 / 33 ) 3020.6676 64.5378002983181 46.8046259097356 Trimmed Mean ( 13 / 33 ) 3018.43479452055 63.1413028341691 47.8044427187066 Trimmed Mean ( 14 / 33 ) 3015.99408450704 61.6549768042409 48.917285202832 Trimmed Mean ( 15 / 33 ) 3013.18144927536 60.0236876064955 50.1998722409266 Trimmed Mean ( 16 / 33 ) 3011.41582089552 58.7933694076343 51.2203306467497 Trimmed Mean ( 17 / 33 ) 3010.00276923077 57.5953857040597 52.2611791280808 Trimmed Mean ( 18 / 33 ) 3008.83888888889 56.2431565456973 53.4969776535252 Trimmed Mean ( 19 / 33 ) 3007.86278688525 54.8150361646687 54.8729508788316 Trimmed Mean ( 20 / 33 ) 3005.37338983051 53.4618661439736 56.2152728028048 Trimmed Mean ( 21 / 33 ) 3002.14210526316 52.0477057092341 57.680584847192 Trimmed Mean ( 22 / 33 ) 2998.208 50.7024482945078 59.1333969236506 Trimmed Mean ( 23 / 33 ) 2994.18377358491 49.0921668721417 60.9910697440412 Trimmed Mean ( 24 / 33 ) 2989.22411764706 47.2080343769928 63.3202410796388 Trimmed Mean ( 25 / 33 ) 2985.33469387755 45.4280887291872 65.7156129035976 Trimmed Mean ( 26 / 33 ) 2981.38659574468 43.3261400484332 68.812651955883 Trimmed Mean ( 27 / 33 ) 2981.38659574468 40.9405467777929 72.8223443601358 Trimmed Mean ( 28 / 33 ) 2972.39744186047 38.030786235252 78.1576647791008 Trimmed Mean ( 29 / 33 ) 2967.99243902439 35.6134097479541 83.3391820673643 Trimmed Mean ( 30 / 33 ) 2963.56153846154 33.4618141550992 88.5654771951425 Trimmed Mean ( 31 / 33 ) 2958.00540540541 30.8908276049592 95.7567548281073 Trimmed Mean ( 32 / 33 ) 2955.44457142857 29.0742056036996 101.651773799540 Trimmed Mean ( 33 / 33 ) 2954.53333333333 27.4275326572432 107.721440723655 Median 2981.85 Midrange 3166.105 Midmean - Weighted Average at Xnp 2974.589 Midmean - Weighted Average at X(n+1)p 2989.22411764706 Midmean - Empirical Distribution Function 2989.22411764706 Midmean - Empirical Distribution Function - Averaging 2989.22411764706 Midmean - Empirical Distribution Function - Interpolation 2985.33469387755 Midmean - Closest Observation 2974.589 Midmean - True Basic - Statistics Graphics Toolkit 2989.22411764706 Midmean - MS Excel (old versions) 2989.22411764706 Number of observations 99

Charts produced by software:

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Dec/12/t1229087374ohx4n5xph9mx739/1ozed1229087324.png (open in new window) http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Dec/12/t1229087374ohx4n5xph9mx739/1ozed1229087324.ps (open in new window) http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Dec/12/t1229087374ohx4n5xph9mx739/2h5ai1229087324.png (open in new window) http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Dec/12/t1229087374ohx4n5xph9mx739/2h5ai1229087324.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')

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This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa

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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.

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