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Data:
0.903353 0.335297 -0.0966473 0.335297 2.3353 -1.6647 -0.0966473 -0.664703 2.3353 1.3353 1.3353 -2.6647 -0.664703 -0.0966473 0.903353 -0.990963 -0.664703 2.90335 0.440982 -2.09665 -1.6647 1.3353 1.90335 -2.6647 2.3353 -2.6647 5.44098 0.00903701 -0.664703 -2.09665 -0.0966473 -0.0966473 2.3353 -2.6647 1.3353 -1.6647 -1.09665 -2.55902 0.335297 2.90335 1.3353 -0.664703 1.3353 -0.664703 -1.55902 0.903353 -2.6647 -1.55902 0.903353 2.44098 -0.559018 -1.55902 -2.6647 0.440982 -0.664703 1.3353 0.00903701 -0.664703 -1.99096 4.44098 3.3353 3.90335 -1.09665 -2.6647 -0.0966473 -2.55902 -2.09665 -3.6647 -0.664703 1.00904 3.90335 -0.0966473 2.00904 0.440982 -1.09665 -0.0966473 1.44098 -0.0966473 -0.990963 3.3353 2.00904 -0.990963 1.00904 -0.559018 -0.990963 2.44098 -2.55902 0.00903701 2.00904 2.00904 1.44098 -0.559018 1.44098 1.00904 0.440982 2.00904 3.44098 0.440982 1.44098 -0.559018 -1.55902 -0.990963 -2.55902 -0.559018 0.440982 -0.990963 0.00903701 1.00904 -0.990963 1.00904 0.00903701 -0.559018 1.31446 -1.68554 -0.685538 -1.68554 5.9882 -0.579854 3.31446 -1.11748 0.314462 -0.117483 -1.11748 0.314462 -1.68554 -1.68554 -0.685538 -1.68554 1.42015 1.31446 -0.685538 -0.117483 -0.685538 -1.68554 -2.68554 0.314462 -0.685538 -0.685538 -0.117483 -1.68554 -0.579854 -2.68554 -4.68554 -0.685538 1.88252 -0.117483 -0.685538 -0.117483 -2.11748 -0.685538 -1.11748 1.31446 1.31446 -0.117483 0.420146 -0.579854 1.31446 1.88252 4.9882 -0.0117987 3.9882 0.420146 -0.117483 -0.685538 2.9882 -0.579854 3.9882 -0.579854 -1.0118 0.988201 3.42015 -0.0117987 5.42015 0.314462 0.314462 -1.57985 -1.68554 -1.11748 -0.579854 0.882517 0.988201 -0.0117987 2.31446 0.988201 -0.579854 2.9882 2.9882 2.9882 2.9882 2.42015 2.42015 -3.57985 -2.57985 -1.0118 1.9882 3.42015 3.88252 -4.0118 -1.0118 1.9882 0.314462 2.42015 -1.11748 -1.0118 -0.685538 -0.0117987 -3.68554 0.420146 -4.0118 -0.579854 1.42015 -0.685538 -3.11748 -1.0118 2.88252 -1.68554 0.420146 -1.68554 1.42015 4.9882 -0.117483 -1.0118 4.31446 0.314462 -1.11748 1.9882 -2.11748 -0.579854 0.314462 -0.117483 -4.11748 -2.11748 0.420146 -1.68554 -4.68554 0.314462 1.9882 -1.68554 -4.68554 -1.57985 0.882517 -0.0117987 0.420146 2.9882 3.42015 1.42015 -0.117483 0.314462 0.882517 -1.68554 1.31446 -1.11748 1.42015 -1.0118 2.31446 2.9882 1.42015 0.882517 0.988201 -0.579854 -0.579854 2.9882 -2.57985 0.420146 -0.0117987 -2.57985 0.988201 -0.0117987 2.42015 1.42015 -0.0117987 0.420146 -4.0118 2.9882 -0.579854 0.882517 1.9882 3.42015 0.27279 0.27279 0.840846 0.27279 3.27279 2.27279 -1.72721 -0.159154 0.27279 -3.15915 1.84085 2.27279 0.94653 2.27279 0.94653 0.840846 -1.72721 0.27279 0.27279 -1.15915 0.840846 2.84085 -0.72721 0.840846 -1.72721 0.27279 2.27279 -3.15915 0.27279 0.840846 4.27279 -0.159154 0.840846 0.840846 0.840846 -2.15915 -0.159154 -0.72721 -0.72721 -1.72721 1.84085 0.840846 1.84085 2.94653 -0.159154 -0.621525 -0.621525 0.378475 -2.72721 -2.15915 -1.72721 1.94653 3.27279 -0.72721 0.840846 1.27279 -1.05347 -0.159154 0.94653 -0.159154 -1.15915 0.840846 0.378475 -1.05347 -0.0534701 0.27279 2.27279 4.27279 3.37847 1.84085 -0.72721 2.27279 -1.15915 0.840846 1.84085 1.94653 2.27279 -1.15915 1.94653 1.94653 -0.0534701 -0.159154 0.840846 -0.621525 0.378475 4.37847 1.94653 -0.159154 -0.621525 -0.0534701 0.27279 1.37847 -1.72721 3.37847 -0.72721 -0.0534701 -0.159154 1.84085 3.94653 1.94653 -1.62153 -0.159154 -0.0534701 1.27279 4.94653 1.84085 -0.621525 -0.0534701 0.378475 -0.72721 -1.05347 0.27279 -0.159154 1.37847 0.840846 -0.621525 1.27279 3.37847 -0.0534701 -0.621525 2.37847 3.84085 2.27279 1.27279 -1.72721 -2.72721 0.840846 1.27279 -0.0534701 0.94653 0.378475 -0.159154 -1.72721 0.378475 -2.15915 2.84085 0.378475 -0.72721 3.37847 -1.72721 -2.15915 -0.621525 -1.72721 0.378475 0.378475 -1.15915 2.84085 1.27279 -0.0534701 -0.621525 1.37847 2.84085 -0.72721 4.94653 2.37847 2.94653 0.94653 0.378475 0.378475 1.27279 -0.72721 -0.0534701 1.84085 -0.621525 -1.15915 -1.15915 -2.62153 1.37847 -1.72721 -0.72721 -1.72721 -0.72721 3.37847 0.378475 0.94653 0.378475 0.94653 2.94653 -1.62153 0.378475 0.27279 0.378475 0.27279 0.27279 -0.621525 4.84085 0.27279 -0.72721 3.37847 0.94653 -2.62153 0.378475 2.27279 -1.72721 0.840846 0.378475 -0.621525 -3.05347 1.94653 0.378475 0.27279 -0.72721 -0.72721 0.94653 0.378475 -0.0534701 -0.621525 2.27279 2.96737 0.967366 0.967366 -2.03263 -1.03263 1.39931 0.293626 0.967366 -2.03263 -2.03263 0.967366 -2.03263 -1.03263 -0.0326344 3.96737 -0.0326344 -2.03263 -1.60069 0.967366 -0.0326344 0.967366 0.39931 3.96737 1.96737 0.293626 4.96737 -2.03263 -1.03263 1.96737 -2.03263 -1.03263 -3.03263 -2.03263 -3.60069 -3.03263 -2.03263 0.967366 1.96737 1.29363 -2.03263 -2.13832 -0.0326344 0.967366 -2.03263 -3.60069 -3.03263 -3.03263 0.967366 -4.03263 -0.60069 0.967366 -1.03263 2.96737 1.96737 -2.03263 0.967366 1.39931 -1.60069 -2.03263 -2.03263 1.39931 1.96737 -1.03263 -1.03263 -0.706374 -3.03263 -3.03263 -1.60069 -2.60069 -1.03263 0.39931 -3.03263 -0.0326344 -1.03263 -2.03263 -2.60069 -1.60069 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2.94653 -1.05347 -2.05347 1.94653 0.378475 -3.62153 -2.05347 -1.62153 -2.62153 -1.05347 -3.05347 -1.05347 2.94653 -1.05347 -0.0534701 -3.05347 -2.05347 -2.05347 2.94653 -3.05347 -3.05347 3.37847 -0.0534701 -2.05347 -1.05347 -1.05347 -1.05347 -1.05347 -2.05347 -0.0534701 0.94653 0.94653 -2.05347 -2.05347
Chart options
Title:
Y-axis minimum
Y-axis maximum
R Code
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')
Compute
Summary of computational transaction
Raw Input
view raw input (R code)
Raw Output
view raw output of R engine
Computing time
0 seconds
R Server
Big Analytics Cloud Computing Center
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