Centrummaten 'aantal jonge werkzoekenden'

*Unverified author*

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

Title produced by software: Central Tendency

Date of computation: Tue, 02 Jun 2009 10:41:29 -0600

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2009/Jun/02/t1243960969ets21hqe3cozcyr.htm/, Retrieved Tue, 02 Jun 2009 18:42:51 +0200

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/2009/Jun/02/t1243960969ets21hqe3cozcyr.htm/}, year = {2009}, } @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 = {2009}, 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:

Dataseries X:

» Textbox « » Textfile « » CSV «

51772 48439 45716 43851 41622 45180 72550 77681 71177 63390 57386 56765 55772 53605 50338 47314 44596 47029 72490 78086 71058 63276 56918 55170 52980 50466 48553 46307 43796 45642 70765 75685 69220 62898 56011 54148 46626 46018 42408 42483 40113 41381 62348 63611 58389 46175 40555 37909 37866 34418 31736 29533 27604 30575 51345 52455 43367 37077 33016 33117 32279 30369 28983 27864 24591 29528 46549 47932 41584 37295 34666 36773 39591 39833

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 48048.8378378378 1555.49799338176 30.8896816596828 Geometric Mean 46243.3264242868 Harmonic Mean 44480.8224089489 Quadratic Mean 49852.9810553803 Winsorized Mean ( 1 / 24 ) 48084.0810810811 1546.15537781135 31.0991261105634 Winsorized Mean ( 2 / 24 ) 48037.1621621622 1531.13686399050 31.3735259674738 Winsorized Mean ( 3 / 24 ) 47955.4324324324 1493.01655241938 32.1198263707943 Winsorized Mean ( 4 / 24 ) 47981.6486486486 1487.21667155453 32.2627156932657 Winsorized Mean ( 5 / 24 ) 47893.2702702703 1467.5018868698 32.6359173359751 Winsorized Mean ( 6 / 24 ) 47951.4054054054 1453.97931070447 32.9794275973379 Winsorized Mean ( 7 / 24 ) 47943.1756756757 1444.74508349984 33.1845224622845 Winsorized Mean ( 8 / 24 ) 47901.6621621622 1388.75375364213 34.4925527916925 Winsorized Mean ( 9 / 24 ) 47285.527027027 1244.45168562751 37.9970774061698 Winsorized Mean ( 10 / 24 ) 47355.2567567568 1222.85912964929 38.7250302251398 Winsorized Mean ( 11 / 24 ) 47353.3243243243 1217.41077338523 38.8967514987976 Winsorized Mean ( 12 / 24 ) 47503 1173.38490840826 40.4837318595136 Winsorized Mean ( 13 / 24 ) 47449.945945946 1149.47716168678 41.2795899975222 Winsorized Mean ( 14 / 24 ) 47099.5675675676 962.502144817678 48.9345066098418 Winsorized Mean ( 15 / 24 ) 46957.8783783784 921.340064382565 50.9669341361456 Winsorized Mean ( 16 / 24 ) 46903.8243243243 898.85878391656 52.1815274697014 Winsorized Mean ( 17 / 24 ) 46999.8513513514 874.496642795617 53.7450334870364 Winsorized Mean ( 18 / 24 ) 46826.9054054054 845.310467045978 55.3961026521376 Winsorized Mean ( 19 / 24 ) 47197.4054054054 775.799239126619 60.8371380442954 Winsorized Mean ( 20 / 24 ) 47100.1081081081 742.590748301015 63.4267370228746 Winsorized Mean ( 21 / 24 ) 46889.5405405405 689.387831664399 68.0161998614545 Winsorized Mean ( 22 / 24 ) 46859.5135135135 648.645007602702 72.2421555153866 Winsorized Mean ( 23 / 24 ) 46921.9864864865 587.376181661406 79.8840469727026 Winsorized Mean ( 24 / 24 ) 46817.5540540541 554.990131409069 84.3574532310846 Trimmed Mean ( 1 / 24 ) 47957.4583333333 1507.50835386956 31.8123997192012 Trimmed Mean ( 2 / 24 ) 47823.6 1461.61584530774 32.7196781244054 Trimmed Mean ( 3 / 24 ) 47707.3970588235 1416.60697709053 33.6772286388186 Trimmed Mean ( 4 / 24 ) 47614.696969697 1380.39412532965 34.4935523094364 Trimmed Mean ( 5 / 24 ) 47508.625 1338.89408497600 35.483482624282 Trimmed Mean ( 6 / 24 ) 47416.8064516129 1295.16002062536 36.6107706356763 Trimmed Mean ( 7 / 24 ) 47306.9166666667 1245.76319568079 37.9742448891455 Trimmed Mean ( 8 / 24 ) 47190.9482758621 1187.60475321646 39.7362406541842 Trimmed Mean ( 9 / 24 ) 47073.5535714286 1130.72393541909 41.6313408577322 Trimmed Mean ( 10 / 24 ) 47041.2777777778 1097.20924507359 42.8735703686335 Trimmed Mean ( 11 / 24 ) 46996.5961538462 1060.28284426792 44.3245841502746 Trimmed Mean ( 12 / 24 ) 46948.6 1014.90931936337 46.2589111206999 Trimmed Mean ( 13 / 24 ) 46877.375 967.549151455964 48.4496058204993 Trimmed Mean ( 14 / 24 ) 46806.5217391304 912.412691469554 51.2997267319273 Trimmed Mean ( 15 / 24 ) 46771.3181818182 886.94690163147 52.7329404903337 Trimmed Mean ( 16 / 24 ) 46749.4047619048 862.739232798052 54.1871784482157 Trimmed Mean ( 17 / 24 ) 46731.55 835.478689711197 55.9338623180848 Trimmed Mean ( 18 / 24 ) 46700.8157894737 804.333236723056 58.0615268116211 Trimmed Mean ( 19 / 24 ) 46686.4166666667 769.266518695383 60.6895211634106 Trimmed Mean ( 20 / 24 ) 46627.8823529412 738.924264792609 63.1023835250938 Trimmed Mean ( 21 / 24 ) 46573.28125 705.242876309597 66.0386411752348 Trimmed Mean ( 22 / 24 ) 46536.1333333333 673.159967552816 69.1308687034811 Trimmed Mean ( 23 / 24 ) 46497.2857142857 638.751354810982 72.7940306726161 Trimmed Mean ( 24 / 24 ) 46444.7307692308 607.867284497307 76.4060378864435 Median 46241 Midrange 51338.5 Midmean - Weighted Average at Xnp 46449.1891891892 Midmean - Weighted Average at X(n+1)p 46700.8157894737 Midmean - Empirical Distribution Function 46700.8157894737 Midmean - Empirical Distribution Function - Averaging 46700.8157894737 Midmean - Empirical Distribution Function - Interpolation 46686.4166666667 Midmean - Closest Observation 46700.8157894737 Midmean - True Basic - Statistics Graphics Toolkit 46700.8157894737 Midmean - MS Excel (old versions) 46700.8157894737 Number of observations 74

Charts produced by software:

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/Jun/02/t1243960969ets21hqe3cozcyr/13ks11243960887.png (open in new window) http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/Jun/02/t1243960969ets21hqe3cozcyr/13ks11243960887.ps (open in new window) http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/Jun/02/t1243960969ets21hqe3cozcyr/2c6wj1243960887.png (open in new window) http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/Jun/02/t1243960969ets21hqe3cozcyr/2c6wj1243960887.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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