Voorspelling 1

*The author of this computation has been verified*

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

Title produced by software: Central Tendency

Date of computation: Tue, 20 Oct 2009 09:53:05 -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/Oct/20/t1256054050d0lvzr85jfs60ga.htm/, Retrieved Tue, 20 Oct 2009 17:54:12 +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/Oct/20/t1256054050d0lvzr85jfs60ga.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:

JSSHWWS3P2

Dataseries X:

» Textbox « » Textfile « » CSV «

0,1605 0,118679012 0,071701299 -0,000333333 -0,016473684 -0,009051282 0,003769231 -0,009051282 -0,013666667 -0,040333333 0,040605634 0,119666667 0,146333333 0,115105263 0,019753247 -0,032194805 -0,04978481 -0,066506173 -0,080658537 -0,10504878 -0,129439024 -0,087759494 0,005876712 0,193289855 0,288151515 0,235686567 0,120826087 0,058714286 0,040605634 0,036888889 0,054690141 0,09184058 0,087285714 0,067117647 0,069875 0,026731343 0,000272727 -0,023875 0,026968254 0,047193548 0,003769231 -0,065235294 -0,109352941 -0,117625 -0,112245902 -0,106310345 -0,095852459 -0,088111111 -0,035219178 -0,024101449 0,068081967 0,066103448 0,031064516 -0,057985915 -0,136090909 -0,189025316 -0,227 -0,254027027 -0,253666667 -0,2145

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 'George Udny Yule' @ 72.249.76.132 Central Tendency - Ungrouped Data Measure Value S.E. Value/S.E. Arithmetic Mean -0.00555630616666667 0.0144854508278751 -0.38357840792738 Geometric Mean NaN Harmonic Mean 0.054839150175553 Quadratic Mean 0.111403507098018 Winsorized Mean ( 1 / 20 ) -0.00642471596666667 0.0142069229451624 -0.452224312855469 Winsorized Mean ( 2 / 20 ) -0.0069490508 0.0135720623174284 -0.512011412670606 Winsorized Mean ( 3 / 20 ) -0.00796354355 0.0130167750543996 -0.611790825048355 Winsorized Mean ( 4 / 20 ) -0.00720967575 0.0123734879918837 -0.582671252821285 Winsorized Mean ( 5 / 20 ) -0.004924079 0.0109380334750827 -0.45017955112473 Winsorized Mean ( 6 / 20 ) -0.0043748325 0.0107824329254307 -0.405737047497121 Winsorized Mean ( 7 / 20 ) -0.00311175611666667 0.0104968551435609 -0.296446514132904 Winsorized Mean ( 8 / 20 ) -0.00287104291666666 0.0102725812895400 -0.279486025541611 Winsorized Mean ( 9 / 20 ) -0.00592680121666667 0.00954987321996663 -0.620615696161815 Winsorized Mean ( 10 / 20 ) -0.00617884621666667 0.00932684120508299 -0.662480048797152 Winsorized Mean ( 11 / 20 ) -0.00880470205 0.00882017161862456 -0.998246114781724 Winsorized Mean ( 12 / 20 ) -0.00733069765 0.0084296603852265 -0.869631434126042 Winsorized Mean ( 13 / 20 ) -0.00604189606666667 0.00807546009924435 -0.748179793152843 Winsorized Mean ( 14 / 20 ) -0.0061848601 0.00802640999797228 -0.770563689315957 Winsorized Mean ( 15 / 20 ) -0.0046631706 0.00768524786486288 -0.606769057029393 Winsorized Mean ( 16 / 20 ) -0.00285965006666667 0.00676098738889255 -0.422963378302512 Winsorized Mean ( 17 / 20 ) -0.0036397421 0.00652912295355933 -0.557462637154935 Winsorized Mean ( 18 / 20 ) -0.0037139063 0.00584760508731322 -0.635115785786829 Winsorized Mean ( 19 / 20 ) -0.00320306248333333 0.0051386892387583 -0.623322862019831 Winsorized Mean ( 20 / 20 ) -5.25701499999994e-05 0.00466560044911297 -0.0112676065113964 Trimmed Mean ( 1 / 20 ) -0.00633625617241379 0.0134127421936926 -0.472405722924685 Trimmed Mean ( 2 / 20 ) -0.00624147782142857 0.0124186571940174 -0.502588784271731 Trimmed Mean ( 3 / 20 ) -0.00584838172222222 0.0116201763285769 -0.503295436906545 Trimmed Mean ( 4 / 20 ) -0.00503485794230769 0.0109021747801026 -0.461821429564378 Trimmed Mean ( 5 / 20 ) -0.0043824126 0.0102703011953997 -0.426707310391538 Trimmed Mean ( 6 / 20 ) -0.004246996 0.00999553503323152 -0.424889311665687 Trimmed Mean ( 7 / 20 ) -0.00421920545652174 0.00969014914896885 -0.435411817884218 Trimmed Mean ( 8 / 20 ) -0.00443494234090909 0.00937823986131192 -0.472897090125043 Trimmed Mean ( 9 / 20 ) -0.00471421009523810 0.00903238711044713 -0.521922946569185 Trimmed Mean ( 10 / 20 ) -0.004512111575 0.0087783953864882 -0.514001862110824 Trimmed Mean ( 11 / 20 ) -0.00424894294736842 0.00849322376427853 -0.500274461770213 Trimmed Mean ( 12 / 20 ) -0.00355867641666667 0.0082363595618349 -0.432069094355305 Trimmed Mean ( 13 / 20 ) -0.00300396741176471 0.00798585484770663 -0.376161033358549 Trimmed Mean ( 14 / 20 ) -0.002565804625 0.00772848934587472 -0.331993033848143 Trimmed Mean ( 15 / 20 ) -0.0020487967 0.00736018678964088 -0.278362052289704 Trimmed Mean ( 16 / 20 ) -0.00167531471428571 0.00692952225836978 -0.241764821847884 Trimmed Mean ( 17 / 20 ) -0.00150449711538461 0.00661596158646874 -0.227404149150696 Trimmed Mean ( 18 / 20 ) -0.0011904905 0.00620152181324492 -0.191967477637087 Trimmed Mean ( 19 / 20 ) -0.000808154772727272 0.00582191456038955 -0.138812544283233 Trimmed Mean ( 20 / 20 ) -0.00043001145 0.0055113929563611 -0.0780222810104099 Median -3.0303e-05 Midrange 0.017062244 Midmean - Weighted Average at Xnp -0.0048136579032258 Midmean - Weighted Average at X(n+1)p -0.0020487967 Midmean - Empirical Distribution Function -0.0048136579032258 Midmean - Empirical Distribution Function - Averaging -0.0020487967 Midmean - Empirical Distribution Function - Interpolation -0.0020487967 Midmean - Closest Observation -0.0048136579032258 Midmean - True Basic - Statistics Graphics Toolkit -0.0020487967 Midmean - MS Excel (old versions) -0.002565804625 Number of observations 60

Charts produced by software:

http://www.freestatistics.org/blog/date/2009/Oct/20/t1256054050d0lvzr85jfs60ga/1ao3j1256053982.png (open in new window) http://www.freestatistics.org/blog/date/2009/Oct/20/t1256054050d0lvzr85jfs60ga/1ao3j1256053982.ps (open in new window) http://www.freestatistics.org/blog/date/2009/Oct/20/t1256054050d0lvzr85jfs60ga/2cbsu1256053982.png (open in new window) http://www.freestatistics.org/blog/date/2009/Oct/20/t1256054050d0lvzr85jfs60ga/2cbsu1256053982.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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