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Workshop 2 Question 6 distributions

R Software Module: rwasp_centraltendency.wasp (opens new window with default values)
Title produced by software: Central Tendency
Date of computation: Sun, 21 Oct 2007 09:57:03 -0700
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2007/Oct/21/cl9y0jtl5xypvop1192985665.htm/, Retrieved Sun, 21 Oct 2007 18:54:27 +0200
 
User-defined keywords:
Workshop 2 Question 6, distributions, kim, wim, hoyi, central tendency
 
Dataseries X:
» Textbox « » Textfile « » CSV «
0.0257493744938832 0.021734532514729 0.0181409407214812 0.0152701505942662 0.0130169628370724 0.0113755336274530 0.0104102672587416 0.0100957980377989 0.0102701844619835 0.0107193845356072 0.0112601657760742 0.0117752995862039 0.0122043778163178 0.0125298799458765 0.0127639590477691 0.012937217037477 0.0130890257027324 0.0132543391742880 0.0134562040704081 0.0137014134900641 0.0139761760838112 0.014254906668871 0.0145009100196785 0.0146742460172555 0.0147425838993809 0.0146806157352704 0.0144813558459163 0.0141518828509622 0.0137166291746623 0.0132144865802642 0.0126954985073174 0.0122127590106538 0.0118197530780406 0.0115605302029674 0.0114653295564385 0.0115477666075857 0.0118008984086779 0.0122015373336842 0.0127161972913673 0.0133047190084541 0.0139270942039374 0.0145468382768111 0.0151326313986313 0.0156627183912659 0.0161249314936152 0.0165157734928721 0.0168385143727890 0.0171040905359246 0.0173246160284153 0.0175143229302128 0.0176871470530748 0.0178499332357475 0.0180101805121891 0.0181670326317408 0.0183152217343903 0.0184445154323164 0.0185417822082271 0.0185853019135757 0.0185546256675338 0.0184274237550889 0.0181815126038245 0.0178003184355686 0.0172750557804465 0.0166064564640451 0.0158060406733841 0.0148957772281856 0.0139084949432564 0.0128841617006653 0.0118732217969068 0.0109276070046339 0.0101118222886584 0.0094955906524746 0.00916083841819465 0.00919703433683982 0.00968438506916855 0.0106742913471305 0.0121649595096515 0.0140954137567437 0.0163422947029298 0.0187253547553665 0.0210153504000639 0.0229581518854807 0.0243101462873557 0.024886670194248 0.0246046329518060 0.0235246397989794 0.0218629790162297 0.0199805985887911 0.0183298783311204 0.0173304254644116 0.0171531920939682 0.0175490373660681 0.0179383444747054 0.0177538738190025 0.0168765909408637 0.0161209786732948 0.0174324825582754 0.0223196274919401 0.0295050170940449
 
Text written by user:
 
Output produced by software:


Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean0.01557587612907650.00040811179445419738.165709349095
Geometric Mean0.0150857615662504
Harmonic Mean0.0146255667585770
Quadratic Mean0.0160913122644504
Winsorized Mean ( 1 / 33 )0.01553830596057630.00039643785744549239.1948086408794
Winsorized Mean ( 2 / 33 )0.01552690903160660.0003910511649510539.7055690488741
Winsorized Mean ( 3 / 33 )0.01552408349143240.00038809770348042640.000451824924
Winsorized Mean ( 4 / 33 )0.01552880778655080.00038280424637952740.5659235325068
Winsorized Mean ( 5 / 33 )0.01548994504728230.00037368756712553341.4515932826813
Winsorized Mean ( 6 / 33 )0.01546521015393840.0003649206351489142.379653722864
Winsorized Mean ( 7 / 33 )0.01542996680871140.00035427202069037543.5540090878269
Winsorized Mean ( 8 / 33 )0.01541440120165510.00034403707737112644.8044766553664
Winsorized Mean ( 9 / 33 )0.01540682362774380.00034124012740016245.1495073135895
Winsorized Mean ( 10 / 33 )0.01535521154232580.00032496509841508147.2518791009132
Winsorized Mean ( 11 / 33 )0.01527719009345550.00030043280798368450.8506051519021
Winsorized Mean ( 12 / 33 )0.0151390233077530.00027618713345502254.8143684985182
Winsorized Mean ( 13 / 33 )0.01513242391516240.00027214756644416455.6037451037324
Winsorized Mean ( 14 / 33 )0.01513974362497530.00026999402730954456.0743649622212
Winsorized Mean ( 15 / 33 )0.01513973152438060.00026948079592123656.1811147715537
Winsorized Mean ( 16 / 33 )0.01515872184475650.00026283276145988057.6744001035439
Winsorized Mean ( 17 / 33 )0.01516018266767760.00026188235205719357.8892871115146
Winsorized Mean ( 18 / 33 )0.01514587525774930.00025919296388158.4347469582661
Winsorized Mean ( 19 / 33 )0.01515332404886630.0002575016560124558.8474819289459
Winsorized Mean ( 20 / 33 )0.01518524901496300.00024661848850723861.5738467414918
Winsorized Mean ( 21 / 33 )0.01518993643810370.00024527074360147161.9313017731342
Winsorized Mean ( 22 / 33 )0.01518476945418680.00024447545672290162.1116313994575
Winsorized Mean ( 23 / 33 )0.01515633796586370.00024051927822819763.015065060539
Winsorized Mean ( 24 / 33 )0.01521580097137620.00022900312035831766.4436403642373
Winsorized Mean ( 25 / 33 )0.0152352977699830.00022135125853455468.8286024251571
Winsorized Mean ( 26 / 33 )0.0152277036647370.00021914945600721769.4854732572804
Winsorized Mean ( 27 / 33 )0.01522806288469220.00021611606793633370.4624280374114
Winsorized Mean ( 28 / 33 )0.01524318737797620.00020994270476677472.606416092952
Winsorized Mean ( 29 / 33 )0.01521827246731300.00020339366590012774.8217620247119
Winsorized Mean ( 30 / 33 )0.01523191833511310.00019941199621524076.3841625589671
Winsorized Mean ( 31 / 33 )0.01522885669173330.00019387970285487478.5479679795706
Winsorized Mean ( 32 / 33 )0.01523642155110070.00018552771498350882.1247733927792
Winsorized Mean ( 33 / 33 )0.01524776927044320.00018383096074761982.9445116776431
Trimmed Mean ( 1 / 33 )0.01549841114707560.00038498493053594140.257189094389
Trimmed Mean ( 2 / 33 )0.01545683655195380.00037191573729553241.5600497692074
Trimmed Mean ( 3 / 33 )0.01541953990955790.00036028626203439342.7980235007849
Trimmed Mean ( 4 / 33 )0.01538162850074630.00034824398833321644.1691142304183
Trimmed Mean ( 5 / 33 )0.01534069942969390.00033623248997560845.6252738419383
Trimmed Mean ( 6 / 33 )0.0153067331856910.00032514818979367547.0761753137977
Trimmed Mean ( 7 / 33 )0.01527597000950180.00031467729075847948.5448758398851
Trimmed Mean ( 8 / 33 )0.01524972959104790.00030513056040498149.9777196056921
Trimmed Mean ( 9 / 33 )0.01522457142831620.00029631203777095151.3801988702355
Trimmed Mean ( 10 / 33 )0.01519919453978830.00028662213689375853.0286833547061
Trimmed Mean ( 11 / 33 )0.01517913521089060.00027856833249806454.4898089268495
Trimmed Mean ( 12 / 33 )0.01516736862498280.00027367841078305655.4204059486663
Trimmed Mean ( 13 / 33 )0.01517057203412180.00027192877006146455.7887715621
Trimmed Mean ( 14 / 33 )0.01517466376085750.00027035481373985256.1286982500679
Trimmed Mean ( 15 / 33 )0.01517824253254720.00026867046023594156.4939015596207
Trimmed Mean ( 16 / 33 )0.01518203615424720.00026659496707196856.9479473712225
Trimmed Mean ( 17 / 33 )0.01518425549716990.00026495387593050557.3090521655649
Trimmed Mean ( 18 / 33 )0.01518648071670280.00026294871531371957.7545347524673
Trimmed Mean ( 19 / 33 )0.01519014186464130.00026075349822078758.2547960747947
Trimmed Mean ( 20 / 33 )0.01519339339342070.00025817064766799858.8501966844776
Trimmed Mean ( 21 / 33 )0.0151941006683920.00025648428674403959.2398889665903
Trimmed Mean ( 22 / 33 )0.01519445760241670.00025438204361399559.7308575186743
Trimmed Mean ( 23 / 33 )0.015195280181040.00025167579838967760.3764059884403
Trimmed Mean ( 24 / 33 )0.01519856686416230.00024872012977323361.1071041094235
Trimmed Mean ( 25 / 33 )0.01519711603370810.00024667772788171961.6071672307401
Trimmed Mean ( 26 / 33 )0.01519389901933260.00024504615699443862.0042330216075
Trimmed Mean ( 27 / 33 )0.01519389901933260.00024297208156697962.5335179307179
Trimmed Mean ( 28 / 33 )0.01518788151895170.0002404670705349263.159922417511
Trimmed Mean ( 29 / 33 )0.01518311211124840.00023797481707895363.801339560274
Trimmed Mean ( 30 / 33 )0.01518003441429840.00023556072855684964.4421271206713
Trimmed Mean ( 31 / 33 )0.01517540692946900.00023266621493596765.2239386523972
Trimmed Mean ( 32 / 33 )0.01517052994655270.00022946357341795866.1130205573859
Trimmed Mean ( 33 / 33 )0.01516435260862630.00022647912170717966.9569560951968
Median0.0147425838993809
Midrange0.0193329277561198
Midmean - Weighted Average at Xnp0.0151437713119514
Midmean - Weighted Average at X(n+1)p0.0151985668641623
Midmean - Empirical Distribution Function0.0151985668641623
Midmean - Empirical Distribution Function - Averaging0.0151985668641623
Midmean - Empirical Distribution Function - Interpolation0.0151971160337081
Midmean - Closest Observation0.0151437713119514
Midmean - True Basic - Statistics Graphics Toolkit0.0151985668641623
Midmean - MS Excel (old versions)0.0151985668641623
Number of observations99
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Oct/21/cl9y0jtl5xypvop1192985665/12psv1192985821.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Oct/21/cl9y0jtl5xypvop1192985665/12psv1192985821.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Oct/21/cl9y0jtl5xypvop1192985665/2cotz1192985821.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Oct/21/cl9y0jtl5xypvop1192985665/2cotz1192985821.ps (open in new window)


 
Parameters:
 
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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