centrummaten - televisie - Volkaerts Dennis

*Unverified author*

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

Title produced by software: Central Tendency

Date of computation: Thu, 27 Nov 2008 15:22:39 -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/Nov/27/t1227824656kshdhedi4jj68zx.htm/, Retrieved Thu, 27 Nov 2008 22:24:16 +0000

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/Nov/27/t1227824656kshdhedi4jj68zx.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}, }

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

Feedback Forum:

2008-11-27 13:41:43 [a2386b643d711541400692649981f2dc]  [reply]  test Post a new message

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords:

Dataseries X:

» Textbox « » Textfile « » CSV «

93,89 93,36 92,25 91,07 90,93 90,68 90,65 90,6 90,02 89,74 89,31 89,16 89,15 88,98 88,25 87,36 87,13 86,93 86,93 86,93 86,98 86,16 85,88 85,91 85,91 85,6 84,9 83,67 83,41 83,33 83,32 83,3 82,73 82,2 81,7 81,52 81,52 81,55 81,89 81,8 81,84 81,77 81,77 82,98 83,13 82,84 82,8 82,8 82,8 82,98 81,91 81,64 81,4 81,21 81,21 81,23 81,01 80,55 80,5 80,54 80,54 80,72 80,63 80,36 79,88 79,66 79,66 79,13 78,81 78,67 78,43 78,13 78,13 78,07 76,94 74,97 75 75,1 75,1 75,02 73,87 73,18 72,55 72,42 72,4 72,45 71,42 70,89 70,42 69,57 69,57 69,44 68,25 66,86 66,5 66,46

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 3 seconds R Server 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 Central Tendency - Ungrouped Data Measure Value S.E. Value/S.E. Arithmetic Mean 81.1740625 0.658290808832973 123.310338547650 Geometric Mean 80.9138439434124 Harmonic Mean 80.6467448715678 Quadratic Mean 81.4272458560913 Winsorized Mean ( 1 / 32 ) 81.1689583333333 0.657092437206788 123.527457838918 Winsorized Mean ( 2 / 32 ) 81.1533333333333 0.6510109490999 124.657401608279 Winsorized Mean ( 3 / 32 ) 81.1598958333333 0.634998419924676 127.811177613577 Winsorized Mean ( 4 / 32 ) 81.2036458333333 0.623810378714496 130.173604999442 Winsorized Mean ( 5 / 32 ) 81.1973958333333 0.620354299672876 130.888745151199 Winsorized Mean ( 6 / 32 ) 81.1955208333333 0.620052980719342 130.949327489945 Winsorized Mean ( 7 / 32 ) 81.2538541666667 0.60752893891422 133.744829195929 Winsorized Mean ( 8 / 32 ) 81.2446875 0.59256737630692 137.106244367255 Winsorized Mean ( 9 / 32 ) 81.268125 0.579485826092877 140.241782181183 Winsorized Mean ( 10 / 32 ) 81.3254166666667 0.554861625642927 146.568825285825 Winsorized Mean ( 11 / 32 ) 81.3105208333333 0.551884895548001 147.332390303226 Winsorized Mean ( 12 / 32 ) 81.3130208333333 0.551062373483361 147.556837022531 Winsorized Mean ( 13 / 32 ) 81.3035416666667 0.54534330445928 149.086898109588 Winsorized Mean ( 14 / 32 ) 81.2889583333333 0.514478881276939 158.002517288122 Winsorized Mean ( 15 / 32 ) 81.2577083333333 0.477472018082631 170.183184052622 Winsorized Mean ( 16 / 32 ) 81.4027083333333 0.443322916029007 183.61944620974 Winsorized Mean ( 17 / 32 ) 81.3814583333333 0.43892124985949 185.412436420852 Winsorized Mean ( 18 / 32 ) 81.3758333333333 0.437090928219935 186.175983255335 Winsorized Mean ( 19 / 32 ) 81.3916666666667 0.43467293781129 187.248065353455 Winsorized Mean ( 20 / 32 ) 81.3916666666667 0.43467293781129 187.248065353455 Winsorized Mean ( 21 / 32 ) 81.6257291666667 0.352947698301971 231.268625803107 Winsorized Mean ( 22 / 32 ) 81.8273958333333 0.310419998620703 263.602204100635 Winsorized Mean ( 23 / 32 ) 81.8417708333333 0.308594187717137 265.208400193042 Winsorized Mean ( 24 / 32 ) 81.8342708333333 0.307554543186904 266.080513672015 Winsorized Mean ( 25 / 32 ) 81.8394791666667 0.287659580798651 284.501141729573 Winsorized Mean ( 26 / 32 ) 81.7148958333333 0.253911591655463 321.824203852079 Winsorized Mean ( 27 / 32 ) 81.4083333333333 0.205664768679576 395.83023313131 Winsorized Mean ( 28 / 32 ) 81.4258333333333 0.184663139652175 440.942537242159 Winsorized Mean ( 29 / 32 ) 81.5617708333333 0.161467230583945 505.128938784457 Winsorized Mean ( 30 / 32 ) 81.5586458333333 0.161107299144193 506.238055423779 Winsorized Mean ( 31 / 32 ) 81.6232291666667 0.151652266628302 538.22623941866 Winsorized Mean ( 32 / 32 ) 81.7265625 0.126188544893704 647.654369648554 Trimmed Mean ( 1 / 32 ) 81.1953191489362 0.639388286185174 126.989062676417 Trimmed Mean ( 2 / 32 ) 81.2228260869565 0.619198353677184 131.174163504481 Trimmed Mean ( 3 / 32 ) 81.2598888888889 0.5998196877303 135.473860813695 Trimmed Mean ( 4 / 32 ) 81.29625 0.584573461136851 139.069347831663 Trimmed Mean ( 5 / 32 ) 81.3220930232558 0.570935108262062 142.436665474649 Trimmed Mean ( 6 / 32 ) 81.3505952380952 0.556228446466343 146.253928138531 Trimmed Mean ( 7 / 32 ) 81.3808536585366 0.539291923188849 150.903156823357 Trimmed Mean ( 8 / 32 ) 81.402625 0.52267573944051 155.742114771074 Trimmed Mean ( 9 / 32 ) 81.426923076923 0.506655646022126 160.714528134099 Trimmed Mean ( 10 / 32 ) 81.4492105263158 0.490695237648741 165.987367060245 Trimmed Mean ( 11 / 32 ) 81.4652702702703 0.476931184935262 170.811372465250 Trimmed Mean ( 12 / 32 ) 81.4840277777778 0.461275433781953 176.649398190790 Trimmed Mean ( 13 / 32 ) 81.5035714285714 0.442863449163674 184.037701875119 Trimmed Mean ( 14 / 32 ) 81.525294117647 0.421961558786373 193.205500406545 Trimmed Mean ( 15 / 32 ) 81.5498484848485 0.40287356478668 202.420450515359 Trimmed Mean ( 16 / 32 ) 81.5790625 0.386883452080277 210.862113800289 Trimmed Mean ( 17 / 32 ) 81.596129032258 0.373994075099252 218.174924323611 Trimmed Mean ( 18 / 32 ) 81.6163333333333 0.359092859484257 227.284757069673 Trimmed Mean ( 19 / 32 ) 81.638448275862 0.341121846027063 239.323424244677 Trimmed Mean ( 20 / 32 ) 81.6607142857143 0.319252460571105 255.787266728134 Trimmed Mean ( 21 / 32 ) 81.6846296296296 0.291434284540542 280.284901134431 Trimmed Mean ( 22 / 32 ) 81.6898076923077 0.274987383556007 297.067475008976 Trimmed Mean ( 23 / 32 ) 81.6778 0.263120099838031 310.420222743448 Trimmed Mean ( 24 / 32 ) 81.6635416666667 0.248319438229829 328.864877630256 Trimmed Mean ( 25 / 32 ) 81.6486956521739 0.22929857520044 356.080257283767 Trimmed Mean ( 26 / 32 ) 81.6320454545454 0.209261153575922 390.096508881801 Trimmed Mean ( 27 / 32 ) 81.6247619047619 0.191872682724127 425.411062929272 Trimmed Mean ( 28 / 32 ) 81.644 0.181296894906019 450.333140246681 Trimmed Mean ( 29 / 32 ) 81.6636842105263 0.172467005133009 473.503231227017 Trimmed Mean ( 30 / 32 ) 81.6730555555555 0.166730378034225 489.851078840536 Trimmed Mean ( 31 / 32 ) 81.6838235294118 0.158699041791613 514.70899009378 Trimmed Mean ( 32 / 32 ) 81.6896875 0.150238710846756 543.732617509769 Median 81.67 Midrange 80.175 Midmean - Weighted Average at Xnp 81.5914285714286 Midmean - Weighted Average at X(n+1)p 81.5914285714286 Midmean - Empirical Distribution Function 81.5914285714286 Midmean - Empirical Distribution Function - Averaging 81.5914285714286 Midmean - Empirical Distribution Function - Interpolation 81.5914285714286 Midmean - Closest Observation 81.5914285714286 Midmean - True Basic - Statistics Graphics Toolkit 81.5914285714286 Midmean - MS Excel (old versions) 81.7607843137255 Number of observations 96

Charts produced by software:

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Nov/27/t1227824656kshdhedi4jj68zx/1ee1j1227824553.png (open in new window) http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Nov/27/t1227824656kshdhedi4jj68zx/1ee1j1227824553.ps (open in new window) http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Nov/27/t1227824656kshdhedi4jj68zx/2hnxi1227824553.png (open in new window) http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Nov/27/t1227824656kshdhedi4jj68zx/2hnxi1227824553.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