centrummaten voor hondenvoeding

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

Title produced by software: Central Tendency

Date of computation: Sun, 20 Apr 2008 04:26:12 -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/20/t1208687419zb3335a1ffoi118.htm/, Retrieved Sun, 20 Apr 2008 12:30:21 +0200

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2,02 1,99 1,99 2,01 2,01 2,01 2 2,01 2,02 2,01 2 2,01 2,01 2,01 2 2 1,98 2,01 1,99 1,99 2 2 1,99 1,96 1,98 1,98 1,99 1,99 1,99 1,99 1,98 1,98 1,98 1,98 1,98 1,98 1,97 1,99 2 1,99 1,98 1,98 1,96 1,95 1,94 1,93 1,92 1,91 1,92 1,93 1,94 1,93 1,94 1,93 1,93 1,92 1,92 1,91 1,92 1,92 1,93 1,91 1,95 2,01 1,98 2,01 2 1,99 1,98 1,98 1,99 1,98 1,99

Text written by user:

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 'Gwilym Jenkins' @ 72.249.127.135 Central Tendency - Ungrouped Data Measure Value S.E. Value/S.E. Arithmetic Mean 1.97465753424658 0.00376276210816996 524.789364163912 Geometric Mean 1.9743974452175 Harmonic Mean 1.97413539970111 Quadratic Mean 1.97491563891269 Winsorized Mean ( 1 / 24 ) 1.97465753424658 0.00376276210816996 524.789364163912 Winsorized Mean ( 2 / 24 ) 1.97438356164384 0.0037216012523716 530.519910048304 Winsorized Mean ( 3 / 24 ) 1.97479452054795 0.00362905989017752 544.161457873143 Winsorized Mean ( 4 / 24 ) 1.97479452054795 0.00362905989017752 544.161457873143 Winsorized Mean ( 5 / 24 ) 1.97479452054795 0.00362905989017752 544.161457873143 Winsorized Mean ( 6 / 24 ) 1.97479452054795 0.00362905989017752 544.161457873143 Winsorized Mean ( 7 / 24 ) 1.97479452054795 0.00362905989017752 544.161457873143 Winsorized Mean ( 8 / 24 ) 1.97479452054794 0.00362905989017752 544.161457873142 Winsorized Mean ( 9 / 24 ) 1.97602739726027 0.00338284983176903 584.130982907666 Winsorized Mean ( 10 / 24 ) 1.97602739726027 0.00338284983176903 584.130982907666 Winsorized Mean ( 11 / 24 ) 1.97602739726027 0.00338284983176903 584.130982907666 Winsorized Mean ( 12 / 24 ) 1.97602739726027 0.00338284983176903 584.130982907666 Winsorized Mean ( 13 / 24 ) 1.97424657534247 0.00315696548263810 625.362103640327 Winsorized Mean ( 14 / 24 ) 1.97424657534247 0.00315696548263810 625.362103640327 Winsorized Mean ( 15 / 24 ) 1.97630136986301 0.00276905910556303 713.70862611514 Winsorized Mean ( 16 / 24 ) 1.97630136986301 0.00276905910556303 713.70862611514 Winsorized Mean ( 17 / 24 ) 1.97630136986301 0.00276905910556303 713.70862611514 Winsorized Mean ( 18 / 24 ) 1.97876712328767 0.00233223396703588 848.442802590068 Winsorized Mean ( 19 / 24 ) 1.97876712328767 0.00233223396703588 848.442802590068 Winsorized Mean ( 20 / 24 ) 1.98150684931507 0.00187784520684732 1055.20244271986 Winsorized Mean ( 21 / 24 ) 1.9786301369863 0.00152746380672856 1295.36957161952 Winsorized Mean ( 22 / 24 ) 1.98164383561644 0.00103245836115023 1919.34504110049 Winsorized Mean ( 23 / 24 ) 1.98479452054795 0.000588757851973865 3371.15592410995 Winsorized Mean ( 24 / 24 ) 1.98479452054794 0.000588757851973865 3371.15592410995 Trimmed Mean ( 1 / 24 ) 1.97492957746479 0.00370367830343250 533.234642877719 Trimmed Mean ( 2 / 24 ) 1.97521739130435 0.00363280905154014 543.716271150268 Trimmed Mean ( 3 / 24 ) 1.97567164179104 0.00357274901599577 552.983608125185 Trimmed Mean ( 4 / 24 ) 1.976 0.00354096901122582 558.039337180177 Trimmed Mean ( 5 / 24 ) 1.97634920634921 0.00350043218238419 564.601484438156 Trimmed Mean ( 6 / 24 ) 1.97672131147541 0.00344925200947767 573.086949299117 Trimmed Mean ( 7 / 24 ) 1.97711864406780 0.0033850053326606 584.081397152125 Trimmed Mean ( 8 / 24 ) 1.97754385964912 0.00330451864396616 598.436284588678 Trimmed Mean ( 9 / 24 ) 1.978 0.00320353340276424 617.443226374114 Trimmed Mean ( 10 / 24 ) 1.97830188679245 0.003138503903617 630.332778784356 Trimmed Mean ( 11 / 24 ) 1.97862745098039 0.00305530214600509 647.604510593989 Trimmed Mean ( 12 / 24 ) 1.97897959183673 0.00294860883199998 671.157045437741 Trimmed Mean ( 13 / 24 ) 1.97936170212766 0.00281078034600408 704.203622649348 Trimmed Mean ( 14 / 24 ) 1.98 0.00267800619336797 739.356019752096 Trimmed Mean ( 15 / 24 ) 1.98069767441860 0.00249906624504912 792.575098136174 Trimmed Mean ( 16 / 24 ) 1.98121951219512 0.00237351036599080 834.721238459001 Trimmed Mean ( 17 / 24 ) 1.98179487179487 0.00220022679703863 900.72299567583 Trimmed Mean ( 18 / 24 ) 1.98243243243243 0.00195310661159269 1015.01496163378 Trimmed Mean ( 19 / 24 ) 1.98285714285714 0.00176670554971669 1122.34726560694 Trimmed Mean ( 20 / 24 ) 1.98333333333333 0.00148647097502641 1334.25634718370 Trimmed Mean ( 21 / 24 ) 1.98354838709677 0.00127409146181494 1556.83359204937 Trimmed Mean ( 22 / 24 ) 1.98413793103448 0.00105480852735783 1881.04085203456 Trimmed Mean ( 23 / 24 ) 1.98444444444444 0.000974508910341144 2036.35330922706 Trimmed Mean ( 24 / 24 ) 1.9844 0.00101324561023805 1958.45901521725 Median 1.98 Midrange 1.965 Midmean - Weighted Average at Xnp 1.98452380952381 Midmean - Weighted Average at X(n+1)p 1.98452380952381 Midmean - Empirical Distribution Function 1.98452380952381 Midmean - Empirical Distribution Function - Averaging 1.98452380952381 Midmean - Empirical Distribution Function - Interpolation 1.98452380952381 Midmean - Closest Observation 1.98155555555556 Midmean - True Basic - Statistics Graphics Toolkit 1.98452380952381 Midmean - MS Excel (old versions) 1.98452380952381 Number of observations 73

Charts produced by software:

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Apr/20/t1208687419zb3335a1ffoi118/16g2w1208687170.png (open in new window) http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Apr/20/t1208687419zb3335a1ffoi118/16g2w1208687170.ps (open in new window) http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Apr/20/t1208687419zb3335a1ffoi118/2raas1208687170.png (open in new window) http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Apr/20/t1208687419zb3335a1ffoi118/2raas1208687170.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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