maximumprijzen wijn

*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 10:44:07 -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/t1268585119wnjhfu2agtxrjek.htm/, Retrieved Sun, 14 Mar 2010 17:45:21 +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/t1268585119wnjhfu2agtxrjek.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 «

2,42 2,42 2,42 2,42 2,42 2,43 2,43 2,43 2,44 2,44 2,44 2,43 2,42 2,41 2,38 2,38 2,37 2,37 2,37 2,36 2,32 2,25 2,25 2,24 2,24 2,23 2,22 2,22 2,21 2,21 2,20 2,21 2,20 2,21 2,21 2,21 2,20 2,20 2,19 2,19 2,19 2,18 2,18 2,18 2,18 2,18 2,18 2,18 2,18 2,18 2,18 2,18 2,18 2,18 2,17 2,17 2,17 2,17 2,17 2,17 2,17 2,17 2,17 2,18 2,17 2,18 2,17 2,17 2,18 2,18 2,18 2,17

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 'Gwilym Jenkins' @ 72.249.127.135 Central Tendency - Ungrouped Data Measure Value S.E. Value/S.E. Arithmetic Mean 2.25347222222222 0.0119845357487700 188.031665928612 Geometric Mean 2.25126702792253 Harmonic Mean 2.24912030732528 Quadratic Mean 2.25573374364578 Winsorized Mean ( 1 / 24 ) 2.25347222222222 0.0119845357487700 188.031665928612 Winsorized Mean ( 2 / 24 ) 2.25347222222222 0.0119845357487700 188.031665928612 Winsorized Mean ( 3 / 24 ) 2.25305555555556 0.0118952109761127 189.408625040785 Winsorized Mean ( 4 / 24 ) 2.25305555555556 0.0118952109761127 189.408625040785 Winsorized Mean ( 5 / 24 ) 2.25305555555556 0.0118952109761127 189.408625040785 Winsorized Mean ( 6 / 24 ) 2.25305555555556 0.0118952109761127 189.408625040785 Winsorized Mean ( 7 / 24 ) 2.25208333333333 0.0116950317488083 192.567526254285 Winsorized Mean ( 8 / 24 ) 2.25208333333333 0.0116950317488083 192.567526254285 Winsorized Mean ( 9 / 24 ) 2.25208333333333 0.0116950317488083 192.567526254285 Winsorized Mean ( 10 / 24 ) 2.25208333333333 0.0116950317488083 192.567526254285 Winsorized Mean ( 11 / 24 ) 2.25208333333333 0.0116950317488083 192.567526254285 Winsorized Mean ( 12 / 24 ) 2.25208333333333 0.0116950317488083 192.567526254285 Winsorized Mean ( 13 / 24 ) 2.25208333333333 0.0111609674686239 201.782089201897 Winsorized Mean ( 14 / 24 ) 2.24625 0.0100301530919779 223.949722342379 Winsorized Mean ( 15 / 24 ) 2.24625 0.0100301530919779 223.949722342379 Winsorized Mean ( 16 / 24 ) 2.24402777777778 0.0096163896556189 233.354497700349 Winsorized Mean ( 17 / 24 ) 2.24402777777778 0.0096163896556189 233.354497700349 Winsorized Mean ( 18 / 24 ) 2.24402777777778 0.0096163896556189 233.354497700349 Winsorized Mean ( 19 / 24 ) 2.24138888888889 0.00913150652448497 245.456637727728 Winsorized Mean ( 20 / 24 ) 2.23027777777778 0.0071261059384449 312.972863025452 Winsorized Mean ( 21 / 24 ) 2.20986111111111 0.00366588262827256 602.818293763116 Winsorized Mean ( 22 / 24 ) 2.20986111111111 0.00366588262827256 602.818293763116 Winsorized Mean ( 23 / 24 ) 2.20666666666667 0.00318324054138043 693.213923981294 Winsorized Mean ( 24 / 24 ) 2.20666666666667 0.00318324054138043 693.213923981294 Trimmed Mean ( 1 / 24 ) 2.252 0.0119723629296845 188.099877461646 Trimmed Mean ( 2 / 24 ) 2.25044117647059 0.0119452104190240 188.396947188685 Trimmed Mean ( 3 / 24 ) 2.24878787878788 0.0118999620996344 188.974373192077 Trimmed Mean ( 4 / 24 ) 2.2471875 0.0118720626066288 189.283663206533 Trimmed Mean ( 5 / 24 ) 2.24548387096774 0.0118238378802595 189.911591625990 Trimmed Mean ( 6 / 24 ) 2.24366666666667 0.0117506260601734 190.940180989264 Trimmed Mean ( 7 / 24 ) 2.24172413793103 0.0116464813653418 192.480807516859 Trimmed Mean ( 8 / 24 ) 2.23982142857143 0.0115558808085578 193.825244970743 Trimmed Mean ( 9 / 24 ) 2.23777777777778 0.0114273650822505 195.826226052198 Trimmed Mean ( 10 / 24 ) 2.23557692307692 0.0112506526089862 198.706421820482 Trimmed Mean ( 11 / 24 ) 2.2332 0.0110118303729791 202.800072681817 Trimmed Mean ( 12 / 24 ) 2.230625 0.0106915417371075 208.634550081593 Trimmed Mean ( 13 / 24 ) 2.22782608695652 0.0102618520777456 217.097856223040 Trimmed Mean ( 14 / 24 ) 2.22477272727273 0.00981051252808991 226.774362797321 Trimmed Mean ( 15 / 24 ) 2.22214285714286 0.00950906233377206 233.686853566074 Trimmed Mean ( 16 / 24 ) 2.21925 0.0090821570633345 244.35274401489 Trimmed Mean ( 17 / 24 ) 2.21631578947368 0.00860398740331222 257.591705517896 Trimmed Mean ( 18 / 24 ) 2.21305555555556 0.00790639127084471 279.907163678622 Trimmed Mean ( 19 / 24 ) 2.20941176470588 0.00684617301361633 322.72216321609 Trimmed Mean ( 20 / 24 ) 2.205625 0.00536824406625096 410.865261113277 Trimmed Mean ( 21 / 24 ) 2.20266666666667 0.00409466525187398 537.935711755335 Trimmed Mean ( 22 / 24 ) 2.20178571428571 0.00395254828484947 557.054729154199 Trimmed Mean ( 23 / 24 ) 2.20076923076923 0.00371786029956756 591.945111822844 Trimmed Mean ( 24 / 24 ) 2.2 0.00356106155805960 617.793308015369 Median 2.2 Midrange 2.305 Midmean - Weighted Average at Xnp 2.21651162790698 Midmean - Weighted Average at X(n+1)p 2.21651162790698 Midmean - Empirical Distribution Function 2.21651162790698 Midmean - Empirical Distribution Function - Averaging 2.21651162790698 Midmean - Empirical Distribution Function - Interpolation 2.21651162790698 Midmean - Closest Observation 2.21651162790698 Midmean - True Basic - Statistics Graphics Toolkit 2.21651162790698 Midmean - MS Excel (old versions) 2.21651162790698 Number of observations 72

Charts produced by software:

http://www.freestatistics.org/blog/date/2010/Mar/14/t1268585119wnjhfu2agtxrjek/1kpe91268585045.png (open in new window) http://www.freestatistics.org/blog/date/2010/Mar/14/t1268585119wnjhfu2agtxrjek/1kpe91268585045.ps (open in new window) http://www.freestatistics.org/blog/date/2010/Mar/14/t1268585119wnjhfu2agtxrjek/2xgag1268585045.png (open in new window) http://www.freestatistics.org/blog/date/2010/Mar/14/t1268585119wnjhfu2agtxrjek/2xgag1268585045.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

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