Centrummaten Gemiddele Prijs Zakje Frieten - Dave Florus

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

Title produced by software: Central Tendency

Date of computation: Mon, 21 Apr 2008 11:07:31 -0600

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2008/Apr/21/t1208797791ysj3q2bx4mhjfxr.htm/, Retrieved Mon, 21 Apr 2008 19:09:53 +0200

User-defined keywords:

Centrummaten, gemiddele, prijs, zakje frieten

Dataseries X:

» Textbox « » Textfile « » CSV «

1,72 1,73 1,73 1,73 1,73 1,73 1,74 1,74 1,74 1,74 1,75 1,75 1,75 1,75 1,75 1,76 1,77 1,77 1,78 1,78 1,78 1,79 1,8 1,8 1,82 1,83 1,85 1,86 1,86 1,87 1,88 1,88 1,89 1,9 1,9 1,9 1,9 1,92 1,92 1,93 1,93 1,93 1,94 1,94 1,95 1,96 1,96 1,96 1,96 1,97 1,97 1,98 1,99 1,99 1,99 2 2 2,01 2,01 2,01 2,02 2,02 2,02 2,02 2,03 2,03 2,03 2,04 2,04 2,05 2,06 2,06

Text written by user:

Centrummaten Gemiddele Prijs Zakje Frieten

Output produced by software:

Summary of compuational 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 1.89013888888889 0.0130748014338066 144.563487136537 Geometric Mean 1.88690491062862 Harmonic Mean 1.88365289807732 Quadratic Mean 1.89334690429409 Winsorized Mean ( 1 / 24 ) 1.89027777777778 0.0130500604424550 144.848200980605 Winsorized Mean ( 2 / 24 ) 1.89 0.0130005417005232 145.378557566101 Winsorized Mean ( 3 / 24 ) 1.88958333333333 0.0129302896508096 146.136195271930 Winsorized Mean ( 4 / 24 ) 1.88958333333333 0.0129302896508096 146.136195271930 Winsorized Mean ( 5 / 24 ) 1.88888888888889 0.0128195547573488 147.344344218046 Winsorized Mean ( 6 / 24 ) 1.88972222222222 0.0126774913936813 149.061211208086 Winsorized Mean ( 7 / 24 ) 1.88972222222222 0.0126774913936813 149.061211208086 Winsorized Mean ( 8 / 24 ) 1.88861111111111 0.0125086911187277 150.983911360920 Winsorized Mean ( 9 / 24 ) 1.88861111111111 0.0125086911187277 150.983911360919 Winsorized Mean ( 10 / 24 ) 1.89 0.0122809444361633 153.896958806732 Winsorized Mean ( 11 / 24 ) 1.89 0.0122809444361633 153.896958806732 Winsorized Mean ( 12 / 24 ) 1.88833333333333 0.0120380201035104 156.864111963286 Winsorized Mean ( 13 / 24 ) 1.88833333333333 0.0120380201035104 156.864111963286 Winsorized Mean ( 14 / 24 ) 1.88833333333333 0.0120380201035104 156.864111963286 Winsorized Mean ( 15 / 24 ) 1.88833333333333 0.0114123865387645 165.463492400930 Winsorized Mean ( 16 / 24 ) 1.89055555555556 0.0110658310549269 170.846233434389 Winsorized Mean ( 17 / 24 ) 1.88819444444444 0.0107437181647453 175.748694771277 Winsorized Mean ( 18 / 24 ) 1.89069444444444 0.0103618536992594 182.466815235925 Winsorized Mean ( 19 / 24 ) 1.89069444444444 0.0103618536992594 182.466815235925 Winsorized Mean ( 20 / 24 ) 1.88791666666667 0.00999400739848956 188.904869827492 Winsorized Mean ( 21 / 24 ) 1.88791666666667 0.00917986139560759 205.658515451007 Winsorized Mean ( 22 / 24 ) 1.89097222222222 0.00872587154402053 216.708693530794 Winsorized Mean ( 23 / 24 ) 1.88777777777778 0.0083268101751256 226.710797781493 Winsorized Mean ( 24 / 24 ) 1.89444444444444 0.00735551725921314 257.554211034113 Trimmed Mean ( 1 / 24 ) 1.89014285714286 0.0129986348337872 145.410874396581 Trimmed Mean ( 2 / 24 ) 1.89 0.0129291987031091 146.180752837027 Trimmed Mean ( 3 / 24 ) 1.89 0.0128683489847923 146.871988180736 Trimmed Mean ( 4 / 24 ) 1.89015625 0.0128164162375295 147.479312076739 Trimmed Mean ( 5 / 24 ) 1.89032258064516 0.0127435921246659 148.335144608587 Trimmed Mean ( 6 / 24 ) 1.89066666666667 0.0126778125210996 149.131931358035 Trimmed Mean ( 7 / 24 ) 1.89086206896552 0.0126239396606796 149.783832923019 Trimmed Mean ( 8 / 24 ) 1.89107142857143 0.0125451873408666 150.740788255203 Trimmed Mean ( 9 / 24 ) 1.89148148148148 0.0124733325809453 151.642030644719 Trimmed Mean ( 10 / 24 ) 1.89192307692308 0.0123701047619006 152.943173347255 Trimmed Mean ( 11 / 24 ) 1.8922 0.0122767076620895 154.129270817706 Trimmed Mean ( 12 / 24 ) 1.8925 0.0121438628226491 155.840034397487 Trimmed Mean ( 13 / 24 ) 1.89304347826087 0.0120099377739859 157.623087969805 Trimmed Mean ( 14 / 24 ) 1.89363636363636 0.0118218403834552 160.181181796916 Trimmed Mean ( 15 / 24 ) 1.89428571428571 0.0115628005860058 163.825856910334 Trimmed Mean ( 16 / 24 ) 1.895 0.0113510419718259 166.945026254288 Trimmed Mean ( 17 / 24 ) 1.89552631578947 0.0111353841745237 170.225497933533 Trimmed Mean ( 18 / 24 ) 1.89638888888889 0.0108974496636174 174.021348795052 Trimmed Mean ( 19 / 24 ) 1.89705882352941 0.0106519178205495 178.095518148819 Trimmed Mean ( 20 / 24 ) 1.8978125 0.0102855831514858 184.511900983062 Trimmed Mean ( 21 / 24 ) 1.899 0.00984185292338374 192.951471108461 Trimmed Mean ( 22 / 24 ) 1.90035714285714 0.0094348524052736 201.418852275309 Trimmed Mean ( 23 / 24 ) 1.90153846153846 0.00897333327471857 211.90993394794 Trimmed Mean ( 24 / 24 ) 1.90333333333333 0.00835504418211083 227.806495315561 Median 1.9 Midrange 1.89 Midmean - Weighted Average at Xnp 1.89230769230769 Midmean - Weighted Average at X(n+1)p 1.89891891891892 Midmean - Empirical Distribution Function 1.89230769230769 Midmean - Empirical Distribution Function - Averaging 1.89891891891892 Midmean - Empirical Distribution Function - Interpolation 1.89891891891892 Midmean - Closest Observation 1.89230769230769 Midmean - True Basic - Statistics Graphics Toolkit 1.89891891891892 Midmean - MS Excel (old versions) 1.89230769230769 Number of observations 72

Charts produced by software:

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Apr/21/t1208797791ysj3q2bx4mhjfxr/1f3ev1208797648.png (open in new window) http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Apr/21/t1208797791ysj3q2bx4mhjfxr/1f3ev1208797648.ps (open in new window) http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Apr/21/t1208797791ysj3q2bx4mhjfxr/2tp0r1208797648.png (open in new window) http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Apr/21/t1208797791ysj3q2bx4mhjfxr/2tp0r1208797648.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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