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*Unverified author*
R Software Module: rwasp_centraltendency.wasp (opens new window with default values)
Title produced by software: Central Tendency
Date of computation: Sun, 07 Jun 2009 09:38:13 -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/07/t1244389116boxtvr80hpv0uox.htm/, Retrieved Sun, 07 Jun 2009 17:38:38 +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/07/t1244389116boxtvr80hpv0uox.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 «
49.32 58.53 49.09 24.68 16.71 19.86 38.23 36.11 19.59 14.91 15.74 15.40 13.06 19.07 15.28 15.82 12.77 12.05 11.69 13.85 13.85 10.07 9.17 10.79 13.44 21.17 18.64 13.21 15.54 21.94 23.11 18.64 14.94 16.90 15.46 11.15 13.13 12.48 12.95 12.59 10.58 10.58 12.39 15.53 13.06 10.22 16.33 19.72 21.31 18.84 24.84 15.67 15.57 12.73 13.56 15.54 17.22 12.14 11.07 12.02 11.55 6.92 10.33 8.38 12.11 11.46 12.75 13.32 13.00 11.90 11.79 12.55 11.84 11.25 11.15 10.99 11.70 14.01 17.51 17.27 16.90 15.79 15.45 16.24 16.71 16.77 16.64 17.80 16.87 16.13 15.76 15.66 15.54 15.30 15.05 14.69 14.39 14.18 13.70 13.66 13.27 13.56 13.14 14.19 22.57 23.09 23.31 22.91 22.36 43.06 64.67 64.68 56.90 48.79 45.21 41.40 22.17 25.52 20.28 22.87 27.63 22.95 21.35 18.38 17.15 18.27 19.40 20.52
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ 72.249.76.132


Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean18.862968750.97789422769703319.2893752879826
Geometric Mean16.9185524260768
Harmonic Mean15.6868235534847
Quadratic Mean21.8462533257994
Winsorized Mean ( 1 / 42 )18.8742968750.9768344825728819.3218986550179
Winsorized Mean ( 2 / 42 )18.7907031250.94214449387422619.9446085469651
Winsorized Mean ( 3 / 42 )18.773593750.92799233843633820.2303327004115
Winsorized Mean ( 4 / 42 )18.541406250.85558326342285321.6710717035571
Winsorized Mean ( 5 / 42 )18.536718750.85271607588344821.7384417560033
Winsorized Mean ( 6 / 42 )18.5343750.84787982271935621.8596722122196
Winsorized Mean ( 7 / 42 )18.338593750.7942506150749523.0891779016998
Winsorized Mean ( 8 / 42 )18.217343750.75798910533969324.0337804615752
Winsorized Mean ( 9 / 42 )18.11468750.72712060839472324.9129061820873
Winsorized Mean ( 10 / 42 )17.873281250.66551847378121826.8561759802864
Winsorized Mean ( 11 / 42 )17.697968750.62175274892789728.4646409372810
Winsorized Mean ( 12 / 42 )16.902968750.45185234134409137.4081690043256
Winsorized Mean ( 13 / 42 )16.6988281250.41266152917505440.4661615983016
Winsorized Mean ( 14 / 42 )16.6474218750.39799766805316841.82793822997
Winsorized Mean ( 15 / 42 )16.639218750.39389344983138142.2429435095277
Winsorized Mean ( 16 / 42 )16.485468750.36571194217282945.0777424769172
Winsorized Mean ( 17 / 42 )16.4602343750.36170028650040545.5079384488725
Winsorized Mean ( 18 / 42 )16.4700781250.35998951647187945.7515493407058
Winsorized Mean ( 19 / 42 )16.456718750.35623504785197446.1962371451960
Winsorized Mean ( 20 / 42 )16.459843750.35438541928007546.4461652610815
Winsorized Mean ( 21 / 42 )16.472968750.35146551237631946.8693745756829
Winsorized Mean ( 22 / 42 )16.42656250.34362485978255547.803766323527
Winsorized Mean ( 23 / 42 )16.3996093750.33726259152042348.6256400422841
Winsorized Mean ( 24 / 42 )16.3696093750.33176752401262249.3406020487323
Winsorized Mean ( 25 / 42 )16.3735156250.32076677077483251.0449245894415
Winsorized Mean ( 26 / 42 )16.2719531250.30286521477269953.7267151568138
Winsorized Mean ( 27 / 42 )16.278281250.30030207702862254.2063558503078
Winsorized Mean ( 28 / 42 )16.256406250.29542110805148955.0279103521833
Winsorized Mean ( 29 / 42 )16.1408593750.27336873071885859.0442781533775
Winsorized Mean ( 30 / 42 )16.0892968750.26586767362146860.5161833172215
Winsorized Mean ( 31 / 42 )15.9924218750.25294504870337963.2248860255565
Winsorized Mean ( 32 / 42 )16.0024218750.24426917619533165.5114252409956
Winsorized Mean ( 33 / 42 )15.9817968750.23900137840162366.8690573329826
Winsorized Mean ( 34 / 42 )15.9472656250.23147176839205768.895078375127
Winsorized Mean ( 35 / 42 )15.857031250.22100486774529171.7496922659426
Winsorized Mean ( 36 / 42 )15.812031250.21169545354439274.6923516082233
Winsorized Mean ( 37 / 42 )15.7571093750.20494787460093876.8834973560047
Winsorized Mean ( 38 / 42 )15.7778906250.20286744429557177.7743845484254
Winsorized Mean ( 39 / 42 )15.7169531250.19231979622007781.7230125754432
Winsorized Mean ( 40 / 42 )15.6982031250.18701964169005383.9387937178094
Winsorized Mean ( 41 / 42 )15.586093750.16713473933390493.2546627476522
Winsorized Mean ( 42 / 42 )15.53031250.153348209783002101.274821023189
Trimmed Mean ( 1 / 42 )18.5941269841270.9187396216096520.2387341818890
Trimmed Mean ( 2 / 42 )18.30491935483870.85142747798914221.4990939663708
Trimmed Mean ( 3 / 42 )18.05008196721310.79573388747168422.6835657641330
Trimmed Mean ( 4 / 42 )17.79283333333330.73746516020193924.1270154761767
Trimmed Mean ( 5 / 42 )17.58983050847460.69715563109579525.2308519416629
Trimmed Mean ( 6 / 42 )17.38086206896550.65137631441662926.6832884221953
Trimmed Mean ( 7 / 42 )17.1650.59899165191884628.6564928659901
Trimmed Mean ( 8 / 42 )16.97339285714290.55199048312590830.7494302456502
Trimmed Mean ( 9 / 42 )16.79245454545450.50564806906337233.2097669759913
Trimmed Mean ( 10 / 42 )16.61833333333330.45791458261402636.2913389620982
Trimmed Mean ( 11 / 42 )16.46679245283020.41564705177260239.6172482942067
Trimmed Mean ( 12 / 42 )16.32903846153850.37504653729735643.5386994350303
Trimmed Mean ( 13 / 42 )16.26901960784310.36224553952093544.9115802208598
Trimmed Mean ( 14 / 42 )16.22670.35403832055900745.8331741444794
Trimmed Mean ( 15 / 42 )16.18744897959180.34688291604247546.6654546273755
Trimmed Mean ( 16 / 42 )16.14729166666670.33931876667865247.587381696335
Trimmed Mean ( 17 / 42 )16.11851063829790.33461235822649448.1706973517921
Trimmed Mean ( 18 / 42 )16.09054347826090.32974922655848748.7963039252403
Trimmed Mean ( 19 / 42 )16.06055555555560.32436583133416949.5137095343733
Trimmed Mean ( 20 / 42 )16.03022727272730.3186552521616750.3058624139492
Trimmed Mean ( 21 / 42 )15.99825581395350.31229288367579051.2283713469508
Trimmed Mean ( 22 / 42 )15.96380952380950.30528294038145852.2918493377401
Trimmed Mean ( 23 / 42 )15.93097560975610.29822472877250353.4193649042056
Trimmed Mean ( 24 / 42 )15.8983750.29087082498513354.6578537081284
Trimmed Mean ( 25 / 42 )15.86615384615380.28304550800070156.0551338836811
Trimmed Mean ( 26 / 42 )15.83197368421050.27533240004961757.501309985158
Trimmed Mean ( 27 / 42 )15.80270270270270.26881528015079658.7864748381787
Trimmed Mean ( 28 / 42 )15.77138888888890.26142757725922160.3279464784644
Trimmed Mean ( 29 / 42 )15.73971428571430.25335839241555562.1243059511454
Trimmed Mean ( 30 / 42 )15.71367647058820.24705658876346263.6035515152073
Trimmed Mean ( 31 / 42 )15.68939393939390.24063376681941565.2003006343168
Trimmed Mean ( 32 / 42 )15.669843750.23489565103334766.7098078702846
Trimmed Mean ( 33 / 42 )15.64838709677420.22917761529457768.280608804923
Trimmed Mean ( 34 / 42 )15.62683333333330.22301319811804870.0713386705549
Trimmed Mean ( 35 / 42 )15.60603448275860.21667549979507272.0249151266228
Trimmed Mean ( 36 / 42 )15.58964285714290.21068425385810873.9952918723684
Trimmed Mean ( 37 / 42 )15.5750.20484040420524676.0348040730976
Trimmed Mean ( 38 / 42 )15.56288461538460.19874916859316778.3041495244758
Trimmed Mean ( 39 / 42 )15.54840.19138813218916581.2401470360359
Trimmed Mean ( 40 / 42 )15.5368750.18417757491121884.3581256159415
Trimmed Mean ( 41 / 42 )15.52565217391300.17602197166705388.2029216402594
Trimmed Mean ( 42 / 42 )15.52136363636360.16989755366994891.3571932090103
Median15.54
Midrange35.8
Midmean - Weighted Average at Xnp15.6252307692308
Midmean - Weighted Average at X(n+1)p15.66984375
Midmean - Empirical Distribution Function15.6252307692308
Midmean - Empirical Distribution Function - Averaging15.66984375
Midmean - Empirical Distribution Function - Interpolation15.66984375
Midmean - Closest Observation15.6252307692308
Midmean - True Basic - Statistics Graphics Toolkit15.66984375
Midmean - MS Excel (old versions)15.6893939393939
Number of observations128
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/Jun/07/t1244389116boxtvr80hpv0uox/1q9ne1244389091.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/Jun/07/t1244389116boxtvr80hpv0uox/1q9ne1244389091.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/Jun/07/t1244389116boxtvr80hpv0uox/2folh1244389091.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/Jun/07/t1244389116boxtvr80hpv0uox/2folh1244389091.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')
 





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