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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, 01 Nov 2009 04:35:57 -0700
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2009/Nov/01/t1257075494vd24ppuempwto3q.htm/, Retrieved Sun, 01 Nov 2009 12:38:16 +0100
 
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/Nov/01/t1257075494vd24ppuempwto3q.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:
KDGP1W52
 
Dataseries X:
» Textbox « » Textfile « » CSV «
23,98 24,24 24,92 25,46 25,84 26,08 26,18 26,34 26,42 26,38 26,04 25,58 25,65 25,56 25,62 25,62 25,69 25,68 25,68 25,83 25,93 26,11 24,72 24,62 24,65 25,24 25,56 25,9 25,87 25,78 25,78 25,74 25,78 25,73 24,67 24,31 24,56 25 25,38 25,99 26,22 26,19 26,22 26,22 26,61 26,72 25,46 25,48 25,59 25,88 26 26,97 27,2 27,19 27,19 27,19 27,26 26,9 26,11 25,87 26,02 26,31 26,37 26,52 26,86 26,92 26,98 26,98 27,03 26,75 26,39 26,3 26,3 26,52 26,53 26,98 27,22 27,34 27,41 27,47 27,46 27,53 27,21 26,91 26,95 26,91 27,39 27,62 27,79 27,88 27,9 28,09 28,46 28,73 27,93 27,61 27,65 28,19 28,98 28,99 29,02 29 29,04 29,19 29,23 29,26 29,02 28,47 28,53 28,48 28,68 28,89 29,2 29,21 29,15 29,22 29,34 29,13 28,84 28,76
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ 72.249.76.132


Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean26.83016666666670.124173964404947216.069180002742
Geometric Mean26.7962066202645
Harmonic Mean26.7624926231037
Quadratic Mean26.8643392809129
Winsorized Mean ( 1 / 40 )26.83166666666670.123662555519938216.974868050019
Winsorized Mean ( 2 / 40 )26.83233333333330.123377522555348217.481537784130
Winsorized Mean ( 3 / 40 )26.83833333333330.122310410845959219.428036809837
Winsorized Mean ( 4 / 40 )26.840.121946399576814220.096698985308
Winsorized Mean ( 5 / 40 )26.84083333333330.121688263115301220.570436673103
Winsorized Mean ( 6 / 40 )26.84133333333330.121456147250556220.996087402324
Winsorized Mean ( 7 / 40 )26.84191666666670.120644354056595222.487963705911
Winsorized Mean ( 8 / 40 )26.85391666666670.118529582157389226.558772737500
Winsorized Mean ( 9 / 40 )26.85316666666670.116641192697092230.220268206638
Winsorized Mean ( 10 / 40 )26.87150.113836683965436236.053081168097
Winsorized Mean ( 11 / 40 )26.88433333333330.112341499507846239.309012707773
Winsorized Mean ( 12 / 40 )26.89033333333330.111139434298583241.951324505492
Winsorized Mean ( 13 / 40 )26.889250.110966858712379242.317844372758
Winsorized Mean ( 14 / 40 )26.89041666666670.110530006308624243.286122608034
Winsorized Mean ( 15 / 40 )26.88916666666670.107703139012417249.660009106761
Winsorized Mean ( 16 / 40 )26.88250.106668696365493252.018641981795
Winsorized Mean ( 17 / 40 )26.8740.104641605235291256.819454743385
Winsorized Mean ( 18 / 40 )26.8710.103806502281728258.856616968683
Winsorized Mean ( 19 / 40 )26.86783333333330.102130401028256263.073806259705
Winsorized Mean ( 20 / 40 )26.84283333333330.098465551095638272.611416222729
Winsorized Mean ( 21 / 40 )26.83933333333330.0966661885432009277.649649146336
Winsorized Mean ( 22 / 40 )26.8430.0958399108691476280.081646117653
Winsorized Mean ( 23 / 40 )26.84108333333330.0955667742733042280.862083474457
Winsorized Mean ( 24 / 40 )26.78908333333330.087890146278134304.801897229270
Winsorized Mean ( 25 / 40 )26.77658333333330.0842568847674714317.796977745263
Winsorized Mean ( 26 / 40 )26.74408333333330.0795851019792617336.043840721625
Winsorized Mean ( 27 / 40 )26.74633333333330.077794973422597343.805417710501
Winsorized Mean ( 28 / 40 )26.74166666666670.0772151250525531346.32679346781
Winsorized Mean ( 29 / 40 )26.71991666666670.074555592387219358.389167212187
Winsorized Mean ( 30 / 40 )26.69741666666670.069092607832166386.400477624434
Winsorized Mean ( 31 / 40 )26.692250.0679264166155532392.958311801895
Winsorized Mean ( 32 / 40 )26.69758333333330.0667819726753892399.772307761913
Winsorized Mean ( 33 / 40 )26.67558333333330.0642898935901577414.926543562006
Winsorized Mean ( 34 / 40 )26.66141666666670.0621114584837344429.251177118127
Winsorized Mean ( 35 / 40 )26.66433333333330.0611779483409828435.848766694764
Winsorized Mean ( 36 / 40 )26.65833333333330.0586072400826273454.864165173947
Winsorized Mean ( 37 / 40 )26.67066666666670.0560315454034492475.993772340694
Winsorized Mean ( 38 / 40 )26.6580.0540135111222507493.543179217955
Winsorized Mean ( 39 / 40 )26.63850.0506254508573485526.187906455618
Winsorized Mean ( 40 / 40 )26.63183333333330.0485756482623578548.254820800216
Trimmed Mean ( 1 / 40 )26.83305084745760.122081191441198219.796764191822
Trimmed Mean ( 2 / 40 )26.83448275862070.120328096249547223.010947526079
Trimmed Mean ( 3 / 40 )26.83561403508770.118547137992523226.370830114687
Trimmed Mean ( 4 / 40 )26.83464285714290.116996816042779229.362163559485
Trimmed Mean ( 5 / 40 )26.83318181818180.115382811507156232.557878142168
Trimmed Mean ( 6 / 40 )26.83148148148150.113648378226744236.092075400752
Trimmed Mean ( 7 / 40 )26.82962264150940.111761918409708240.060505611176
Trimmed Mean ( 8 / 40 )26.82759615384620.109818022396928244.291379213513
Trimmed Mean ( 9 / 40 )26.82372549019610.108037138646394248.282450148835
Trimmed Mean ( 10 / 40 )26.81980.106365956807979252.146464948532
Trimmed Mean ( 11 / 40 )26.81346938775510.104930632616428255.535192337697
Trimmed Mean ( 12 / 40 )26.80541666666670.103521007769958258.936975635256
Trimmed Mean ( 13 / 40 )26.79638297872340.102083852993284262.493843962632
Trimmed Mean ( 14 / 40 )26.78706521739130.100462087897463266.638547714951
Trimmed Mean ( 15 / 40 )26.77722222222220.0986610773517813271.406140506115
Trimmed Mean ( 16 / 40 )26.76704545454550.096986215489936275.988142431673
Trimmed Mean ( 17 / 40 )26.75697674418600.0952008561054636281.058152613088
Trimmed Mean ( 18 / 40 )26.74714285714290.0934198493720701286.311132344209
Trimmed Mean ( 19 / 40 )26.73707317073170.091466273166211292.316197492222
Trimmed Mean ( 20 / 40 )26.726750.0894216252198652298.884637069452
Trimmed Mean ( 21 / 40 )26.71782051282050.0875664720512504305.114730409411
Trimmed Mean ( 22 / 40 )26.70868421052630.08563638800803311.884758708201
Trimmed Mean ( 23 / 40 )26.69878378378380.0834664018234104319.874622608871
Trimmed Mean ( 24 / 40 )26.68847222222220.0809353718588314329.750412079068
Trimmed Mean ( 25 / 40 )26.68128571428570.0791141224154848337.250605829427
Trimmed Mean ( 26 / 40 )26.67455882352940.077463473457396344.350151535615
Trimmed Mean ( 27 / 40 )26.66969696969700.0761662914193456350.150919425271
Trimmed Mean ( 28 / 40 )26.6643750.0748354262487052356.306850065698
Trimmed Mean ( 29 / 40 )26.65903225806450.0732976046761755363.709460572996
Trimmed Mean ( 30 / 40 )26.65483333333330.0718325468254293371.069028056475
Trimmed Mean ( 31 / 40 )26.65189655172410.0708493356807075376.177084734212
Trimmed Mean ( 32 / 40 )26.64910714285710.0697817919845776381.891986218222
Trimmed Mean ( 33 / 40 )26.64574074074070.068596594608504388.441159401774
Trimmed Mean ( 34 / 40 )26.64365384615380.067500085942716394.720295152883
Trimmed Mean ( 35 / 40 )26.64240.0664465782046152400.959699052636
Trimmed Mean ( 36 / 40 )26.64083333333330.0652238598309925408.452265817522
Trimmed Mean ( 37 / 40 )26.63956521739130.0640817386558257415.712272734496
Trimmed Mean ( 38 / 40 )26.63727272727270.0630240093486005422.65277951353
Trimmed Mean ( 39 / 40 )26.63571428571430.0619796741410989429.74918237029
Trimmed Mean ( 40 / 40 )26.63550.0612172989628561435.097602332328
Median26.57
Midrange26.66
Midmean - Weighted Average at Xnp26.6131746031746
Midmean - Weighted Average at X(n+1)p26.6548333333333
Midmean - Empirical Distribution Function26.6131746031746
Midmean - Empirical Distribution Function - Averaging26.6548333333333
Midmean - Empirical Distribution Function - Interpolation26.6548333333333
Midmean - Closest Observation26.6131746031746
Midmean - True Basic - Statistics Graphics Toolkit26.6548333333333
Midmean - MS Excel (old versions)26.6315625
Number of observations120
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Nov/01/t1257075494vd24ppuempwto3q/1n71b1257075355.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/01/t1257075494vd24ppuempwto3q/1n71b1257075355.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/01/t1257075494vd24ppuempwto3q/25hfj1257075355.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/01/t1257075494vd24ppuempwto3q/25hfj1257075355.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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