*Unverified author*

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

Title produced by software: Central Tendency

Date of computation: Sun, 14 Mar 2010 15:34:37 -0600

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Mar/14/t1268602562gat8ocz8l9ms0ao.htm/, Retrieved Sun, 14 Mar 2010 22:36:04 +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/2010/Mar/14/t1268602562gat8ocz8l9ms0ao.htm/}, year = {2010}, } @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 = {2010}, 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:

KDGP1W52

Dataseries X:

» Textbox « » Textfile « » CSV «

132.8 132.5 131.4 131.4 130.7 131.5 131.2 130.1 130.5 129 128.2 128.4 127.3 127.7 127 123.9 125.4 124.6 124.5 124.8 124.1 124.2 122.8 122.3 121.1 121.7 122.2 122.2 122.7 121.7 121 119.8 120.2 116.6 116 118 117.1 116.2 113.3 114.3 113.6 113 112.9 112.7 112.5 113 111.9 110.9 109.8 108.3 109.2 109.2 108.7 109.8 110.8 110 109.6 109.5 110.8 111.6 113.1 114.3 114.1 113.8 112.6 112.7 111.5 110.7 110.4 109.7 110 111.3 109 108.2 107.2 108.7 110.3 110.3 109.5 109.5 109.4 109.6 111.3 110 109.5 110.693 109.195 108.095 108.199 106.87 105.278 108.711 111.192 109.641 109.42 109.935 111.126 110.733 110.34 111.766 111.294 111.54 112.008 111.007 114.963 112.045 110.703 108.894 107.51 111.35 112.964 115.203 115.182 115.191 112.346 110.774 113.07 111.138 109.092 107.971 107.051

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 'Gwilym Jenkins' @ 72.249.127.135 Central Tendency - Ungrouped Data Measure Value S.E. Value/S.E. Arithmetic Mean 115.185041322314 0.663489801208794 173.604840816636 Geometric Mean 114.964728959010 Harmonic Mean 114.753338580080 Quadratic Mean 115.414123877367 Winsorized Mean ( 1 / 40 ) 115.195719008264 0.661436444729507 174.159921072044 Winsorized Mean ( 2 / 40 ) 115.182181818182 0.657614429703508 175.151542629794 Winsorized Mean ( 3 / 40 ) 115.183396694215 0.656725551555613 175.390460172252 Winsorized Mean ( 4 / 40 ) 115.193644628099 0.655706102891438 175.678774560942 Winsorized Mean ( 5 / 40 ) 115.204429752066 0.652199889379109 176.639756657641 Winsorized Mean ( 6 / 40 ) 115.185785123967 0.646622332964547 178.134560549245 Winsorized Mean ( 7 / 40 ) 115.180231404959 0.643771643329268 178.914732573966 Winsorized Mean ( 8 / 40 ) 115.153851239669 0.638564073840369 180.332492786708 Winsorized Mean ( 9 / 40 ) 115.079471074380 0.622278885804616 184.932308808101 Winsorized Mean ( 10 / 40 ) 115.062942148760 0.610202463611427 188.56518780303 Winsorized Mean ( 11 / 40 ) 115.044760330579 0.606904491765077 189.559909164604 Winsorized Mean ( 12 / 40 ) 114.99626446281 0.597940395668777 192.320614723128 Winsorized Mean ( 13 / 40 ) 114.972950413223 0.588678803764454 195.306760967101 Winsorized Mean ( 14 / 40 ) 114.950504132231 0.581603138304286 197.644229478162 Winsorized Mean ( 15 / 40 ) 114.763561983471 0.547412296696679 209.647394981815 Winsorized Mean ( 16 / 40 ) 114.697842975207 0.533554566288913 214.969283784743 Winsorized Mean ( 17 / 40 ) 114.670446280992 0.529079971894454 216.735564323851 Winsorized Mean ( 18 / 40 ) 114.655570247934 0.5267582902953 217.662583314366 Winsorized Mean ( 19 / 40 ) 114.639867768595 0.516776277976877 221.836552206687 Winsorized Mean ( 20 / 40 ) 114.626644628099 0.513953544847819 223.029193547133 Winsorized Mean ( 21 / 40 ) 114.605818181818 0.507470631944846 225.837341054790 Winsorized Mean ( 22 / 40 ) 114.405818181818 0.477541449746402 239.572540232002 Winsorized Mean ( 23 / 40 ) 114.386809917355 0.47476241605265 240.934846672172 Winsorized Mean ( 24 / 40 ) 114.307471074380 0.463269587853044 246.740718733819 Winsorized Mean ( 25 / 40 ) 114.307471074380 0.458525280429132 249.293716079079 Winsorized Mean ( 26 / 40 ) 114.307471074380 0.458525280429132 249.293716079079 Winsorized Mean ( 27 / 40 ) 114.205049586777 0.44185069244573 258.469776192110 Winsorized Mean ( 28 / 40 ) 114.218702479339 0.440679761766285 259.187537956224 Winsorized Mean ( 29 / 40 ) 114.098867768595 0.418428715149251 272.684124290793 Winsorized Mean ( 30 / 40 ) 114.074074380165 0.414976021439642 274.893170897965 Winsorized Mean ( 31 / 40 ) 113.903702479339 0.383726371145486 296.835742978304 Winsorized Mean ( 32 / 40 ) 113.815107438017 0.367837597751762 309.416732094976 Winsorized Mean ( 33 / 40 ) 113.324198347107 0.302807806109335 374.244639869652 Winsorized Mean ( 34 / 40 ) 113.071305785124 0.270829064050175 417.500633403864 Winsorized Mean ( 35 / 40 ) 113.013454545455 0.244922519372694 461.425330896111 Winsorized Mean ( 36 / 40 ) 112.894446280992 0.230546960117925 489.680914566152 Winsorized Mean ( 37 / 40 ) 112.845520661157 0.222125563880799 508.025815172334 Winsorized Mean ( 38 / 40 ) 112.614066115702 0.191360889181871 588.490503974787 Winsorized Mean ( 39 / 40 ) 112.704636363636 0.182016065043403 619.201587160788 Winsorized Mean ( 40 / 40 ) 112.703975206612 0.181464398402109 621.080367273307 Trimmed Mean ( 1 / 40 ) 115.120268907563 0.652749395628556 176.362122551963 Trimmed Mean ( 2 / 40 ) 115.042239316239 0.643050192711454 178.90087060103 Trimmed Mean ( 3 / 40 ) 114.968617391304 0.634434274814288 181.214385721765 Trimmed Mean ( 4 / 40 ) 114.891955752212 0.625133294179224 183.787932624931 Trimmed Mean ( 5 / 40 ) 114.809738738739 0.614998173786827 186.683056360643 Trimmed Mean ( 6 / 40 ) 114.722110091743 0.604508898092348 189.777372101175 Trimmed Mean ( 7 / 40 ) 114.634719626168 0.593996971232095 192.988727515542 Trimmed Mean ( 8 / 40 ) 114.544914285714 0.582706570788402 196.573919066564 Trimmed Mean ( 9 / 40 ) 114.455495145631 0.570951966694384 200.464315427949 Trimmed Mean ( 10 / 40 ) 114.372435643564 0.560646810410029 204.000867426532 Trimmed Mean ( 11 / 40 ) 114.288040404040 0.550952280288839 207.437276317514 Trimmed Mean ( 12 / 40 ) 114.202226804124 0.540413923050704 211.323620530422 Trimmed Mean ( 13 / 40 ) 114.117947368421 0.529798009507006 215.398973421232 Trimmed Mean ( 14 / 40 ) 114.032376344086 0.519015259754798 219.709101420176 Trimmed Mean ( 15 / 40 ) 113.945175824176 0.507647523827033 224.457267052482 Trimmed Mean ( 16 / 40 ) 113.871 0.499662323921751 227.895909994272 Trimmed Mean ( 17 / 40 ) 113.799126436782 0.492336183262546 231.141098918778 Trimmed Mean ( 18 / 40 ) 113.726164705882 0.484397377165462 234.778655019504 Trimmed Mean ( 19 / 40 ) 113.650891566265 0.47541736184493 239.054987653849 Trimmed Mean ( 20 / 40 ) 113.573135802469 0.466213401156186 243.607617286018 Trimmed Mean ( 21 / 40 ) 113.492455696203 0.455747375742055 249.024924194928 Trimmed Mean ( 22 / 40 ) 113.409142857143 0.444279197928884 255.265480323696 Trimmed Mean ( 23 / 40 ) 113.336053333333 0.435211649823097 260.415945619566 Trimmed Mean ( 24 / 40 ) 113.260328767123 0.424784740479026 266.629937411124 Trimmed Mean ( 25 / 40 ) 113.185971830986 0.41407706053475 273.345187692394 Trimmed Mean ( 26 / 40 ) 113.107304347826 0.401833064498099 281.478340984957 Trimmed Mean ( 27 / 40 ) 113.023940298507 0.386969004961396 292.074917756741 Trimmed Mean ( 28 / 40 ) 112.942507692308 0.371788526871147 303.781584232293 Trimmed Mean ( 29 / 40 ) 112.854968253968 0.353221152066819 319.502293658278 Trimmed Mean ( 30 / 40 ) 112.769885245902 0.334524307968875 337.105204493522 Trimmed Mean ( 31 / 40 ) 112.769885245902 0.311738889928992 361.744680850016 Trimmed Mean ( 32 / 40 ) 112.596982456140 0.289799220197510 388.534456301852 Trimmed Mean ( 33 / 40 ) 112.513236363636 0.265313546751746 424.076485129179 Trimmed Mean ( 34 / 40 ) 112.457132075472 0.250162745341022 449.535888815778 Trimmed Mean ( 35 / 40 ) 112.414274509804 0.238283848001449 471.766237840512 Trimmed Mean ( 36 / 40 ) 112.372 0.228412254844755 491.970100625187 Trimmed Mean ( 37 / 40 ) 112.334638297872 0.219005130960832 512.93153637557 Trimmed Mean ( 38 / 40 ) 112.297511111111 0.208676751189712 538.140978670974 Trimmed Mean ( 39 / 40 ) 112.274069767442 0.202633561754275 554.074403052698 Trimmed Mean ( 40 / 40 ) 112.241487804878 0.196157015013394 572.202262545717 Median 112.008 Midrange 119.039 Midmean - Weighted Average at Xnp 112.586278688525 Midmean - Weighted Average at X(n+1)p 112.721983870968 Midmean - Empirical Distribution Function 112.721983870968 Midmean - Empirical Distribution Function - Averaging 112.721983870968 Midmean - Empirical Distribution Function - Interpolation 112.721983870968 Midmean - Closest Observation 112.721983870968 Midmean - True Basic - Statistics Graphics Toolkit 112.721983870968 Midmean - MS Excel (old versions) 112.721983870968 Number of observations 121

Charts produced by software:

http://www.freestatistics.org/blog/date/2010/Mar/14/t1268602562gat8ocz8l9ms0ao/1cwrd1268602475.png (open in new window) http://www.freestatistics.org/blog/date/2010/Mar/14/t1268602562gat8ocz8l9ms0ao/1cwrd1268602475.ps (open in new window) http://www.freestatistics.org/blog/date/2010/Mar/14/t1268602562gat8ocz8l9ms0ao/2zkc71268602475.png (open in new window) http://www.freestatistics.org/blog/date/2010/Mar/14/t1268602562gat8ocz8l9ms0ao/2zkc71268602475.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.

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