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*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: Mon, 20 Oct 2008 11:25:51 -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/Oct/20/t1224523615h88kuod4bogd5xe.htm/, Retrieved Mon, 20 Oct 2008 17:26:55 +0000
 
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/2008/Oct/20/t1224523615h88kuod4bogd5xe.htm/},
    year = {2008},
}
@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 = {2008},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}
 
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
 
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Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
15.22 14.28 14.61 14.19 14.02 14.22 14.80 15.05 15.24 15.85 15.43 15.41 15.53 15.95 15.72 15.68 16.06 15.27 16.01 15.44 15.47 15.49 15.38 16.62 17.25 16.37 16.14 15.76 15.54 15.46 15.26 16.02 15.67 15.67 15.48 16.07 16.65 16.18 16.55 16.58 17.73 17.94 18.66 18.73 19.07 19.48 19.52 19.60 20.32 19.84 19.81 20.64 22.12 21.50 21.77 20.29 21.76 22.35 22.15 23.83 24.46 25.13 24.36 24.45 23.66 25.97 25.20 24.41 25.32 26.36 28.03 28.95 27.25 27.47 28.75 29.24 28.03 27.34 26.47 28.30 27.90 26.69 28.31 28.84 28.56 28.25 28.93 28.22 31.77 31.64 30.60 32.34 31.51 31.39 32.19 33.11 33.99 34.30 34.53 33.67 34.72 34.91 36.24 37.47 36.94 38.55 39.88 37.78 40.09 40.17 40.67 44.82 40.89 41.47 44.67
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24


Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean24.05095652173910.78259080935573930.7324801597643
Geometric Mean22.6923322094642
Harmonic Mean21.474661580707
Quadratic Mean25.4611002187224
Winsorized Mean ( 1 / 38 )24.05113043478260.78212331782789930.7510719685190
Winsorized Mean ( 2 / 38 )23.9960.77008502804529831.160195466868
Winsorized Mean ( 3 / 38 )23.98243478260870.76694216445583731.2701998847916
Winsorized Mean ( 4 / 38 )23.98626086956520.76421497150195131.3867979090017
Winsorized Mean ( 5 / 38 )23.97278260869570.75921682265079831.5756736329879
Winsorized Mean ( 6 / 38 )23.98165217391300.75707062135061231.6769023887492
Winsorized Mean ( 7 / 38 )23.97921739130430.75363186892847331.8182104286519
Winsorized Mean ( 8 / 38 )23.88808695652170.73684736623238532.4193151136106
Winsorized Mean ( 9 / 38 )23.82939130434780.72634905430859432.8070796857178
Winsorized Mean ( 10 / 38 )23.80330434782610.72174932335445332.9800161601762
Winsorized Mean ( 11 / 38 )23.76313043478260.71233662588478833.359411226773
Winsorized Mean ( 12 / 38 )23.69321739130440.70034551294017733.8307548967308
Winsorized Mean ( 13 / 38 )23.54513043478260.67721707387249934.7674790597726
Winsorized Mean ( 14 / 38 )23.52321739130430.6737004219592534.9164355914968
Winsorized Mean ( 15 / 38 )23.50104347826090.66982953048304835.0851110749224
Winsorized Mean ( 16 / 38 )23.47043478260870.66508653384558635.2892948334116
Winsorized Mean ( 17 / 38 )23.42608695652170.6584326058915835.5785645287122
Winsorized Mean ( 18 / 38 )23.37756521739130.65127004469011935.8953484932884
Winsorized Mean ( 19 / 38 )23.29165217391300.63790569484956536.512688884845
Winsorized Mean ( 20 / 38 )23.15947826086960.61997702823364837.3553812579997
Winsorized Mean ( 21 / 38 )23.15582608695650.61388067950899637.7204021235485
Winsorized Mean ( 22 / 38 )23.07547826086960.60361759965473238.2286372598623
Winsorized Mean ( 23 / 38 )23.05147826086960.60012766558748338.4109575056897
Winsorized Mean ( 24 / 38 )23.03269565217390.59583262028182238.6563186843979
Winsorized Mean ( 25 / 38 )23.01530434782610.59164939421170538.9002415501345
Winsorized Mean ( 26 / 38 )22.85704347826090.56767165300723340.2645496867353
Winsorized Mean ( 27 / 38 )22.56121739130430.52825406693613942.7090273476906
Winsorized Mean ( 28 / 38 )22.50521739130430.51888767007366743.3720411743629
Winsorized Mean ( 29 / 38 )22.50269565217390.51806163871330843.4363287504998
Winsorized Mean ( 30 / 38 )22.48965217391300.51436796183198343.7228868100833
Winsorized Mean ( 31 / 38 )22.46808695652170.51145160514318743.93003508168
Winsorized Mean ( 32 / 38 )22.43469565217390.50364666100522444.5445138212506
Winsorized Mean ( 33 / 38 )22.37443478260870.49478548914048345.2204748798847
Winsorized Mean ( 34 / 38 )22.42765217391300.48833307165304345.9269573899507
Winsorized Mean ( 35 / 38 )22.46721739130430.48078984956854946.7298080678408
Winsorized Mean ( 36 / 38 )22.46721739130430.47878610407229346.9253748181296
Winsorized Mean ( 37 / 38 )22.41895652173910.47098112979300947.6005408785529
Winsorized Mean ( 38 / 38 )22.42886956521740.46991111620739247.7300255125665
Trimmed Mean ( 1 / 38 )23.95592920353980.76961315168221231.1272347037953
Trimmed Mean ( 2 / 38 )23.85729729729730.75557868376082631.5748681243226
Trimmed Mean ( 3 / 38 )23.78412844036700.74689356911472631.8440664425023
Trimmed Mean ( 4 / 38 )23.71308411214950.73836898433694432.1154932224624
Trimmed Mean ( 5 / 38 )23.63828571428570.7295778981517232.3999476603799
Trimmed Mean ( 6 / 38 )23.56359223300970.72094080313250332.6845035412414
Trimmed Mean ( 7 / 38 )23.48425742574260.71159517285489633.0022719680974
Trimmed Mean ( 8 / 38 )23.40212121212120.70165803684889833.3526019558169
Trimmed Mean ( 9 / 38 )23.33010309278350.69360928954186833.6357996418894
Trimmed Mean ( 10 / 38 )23.26294736842110.68625861147925433.8982228846309
Trimmed Mean ( 11 / 38 )23.19612903225810.67855074491412734.184811093522
Trimmed Mean ( 12 / 38 )23.1309890109890.67114581473660634.4649232746342
Trimmed Mean ( 13 / 38 )23.07044943820220.66440302661109134.7235766758578
Trimmed Mean ( 14 / 38 )23.0221839080460.65993694516432334.8854297016414
Trimmed Mean ( 15 / 38 )22.97376470588240.65508234939965735.0700407772189
Trimmed Mean ( 16 / 38 )22.92506024096390.64980485719856535.2799151729925
Trimmed Mean ( 17 / 38 )22.87666666666670.64413927161334335.5150938233725
Trimmed Mean ( 18 / 38 )22.82962025316460.63826130168255635.7684543822133
Trimmed Mean ( 19 / 38 )22.78415584415580.6321740783194336.0409523666728
Trimmed Mean ( 20 / 38 )22.74320.62663773634581936.2940159534995
Trimmed Mean ( 21 / 38 )22.71041095890410.62227828808481836.4955862895358
Trimmed Mean ( 22 / 38 )22.67605633802820.61761019524824636.7158063653946
Trimmed Mean ( 23 / 38 )22.64579710144930.6131412350838536.9340631581439
Trimmed Mean ( 24 / 38 )22.61552238805970.6079603957225937.1990059667950
Trimmed Mean ( 25 / 38 )22.58476923076920.60202379471934837.5147451460748
Trimmed Mean ( 26 / 38 )22.55333333333330.59515624629275337.8948107724967
Trimmed Mean ( 27 / 38 )22.53131147540980.58995111751792338.1918277741466
Trimmed Mean ( 28 / 38 )22.52915254237290.58859073925469438.276430531171
Trimmed Mean ( 29 / 38 )22.53087719298250.58751303940639638.3495781059548
Trimmed Mean ( 30 / 38 )22.53290909090910.58558645229628438.4792185723387
Trimmed Mean ( 31 / 38 )22.53603773584910.5830107619879838.6545827370399
Trimmed Mean ( 32 / 38 )22.54098039215690.57950095196267338.8972275469338
Trimmed Mean ( 33 / 38 )22.54877551020410.5755581166431139.1772348580848
Trimmed Mean ( 34 / 38 )22.56170212765960.57119390027087539.4992000386563
Trimmed Mean ( 35 / 38 )22.57177777777780.56591289340151139.8856043765083
Trimmed Mean ( 36 / 38 )22.57976744186050.55962478415857240.3480476223197
Trimmed Mean ( 37 / 38 )22.58853658536590.55093618338947141.0002778296328
Trimmed Mean ( 38 / 38 )22.60205128205130.54024925265244241.8363397470386
Median22.15
Midrange29.42
Midmean - Weighted Average at Xnp22.4184482758621
Midmean - Weighted Average at X(n+1)p22.5291525423729
Midmean - Empirical Distribution Function22.5291525423729
Midmean - Empirical Distribution Function - Averaging22.5291525423729
Midmean - Empirical Distribution Function - Interpolation22.5308771929825
Midmean - Closest Observation22.4184482758621
Midmean - True Basic - Statistics Graphics Toolkit22.5291525423729
Midmean - MS Excel (old versions)22.5291525423729
Number of observations115
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Oct/20/t1224523615h88kuod4bogd5xe/1owwi1224523543.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Oct/20/t1224523615h88kuod4bogd5xe/1owwi1224523543.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Oct/20/t1224523615h88kuod4bogd5xe/2q8qv1224523543.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Oct/20/t1224523615h88kuod4bogd5xe/2q8qv1224523543.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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