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ct residuals: dow jones

*Unverified author*
R Software Module: /rwasp_centraltendency.wasp (opens new window with default values)
Title produced by software: Central Tendency
Date of computation: Wed, 30 Dec 2009 07:24:55 -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/Dec/30/t12621831379deplrdextdrsh9.htm/, Retrieved Wed, 30 Dec 2009 15:25:40 +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/Dec/30/t12621831379deplrdextdrsh9.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 «
10.9678643254657 -525.261861701565 330.145024194708 -41.6298418909046 15.8595553657815 91.5421209822089 -741.935708646335 294.173861127316 303.275106855848 159.377315591308 -363.089880096104 -70.6775446637057 -1248.32739525331 411.336266756758 468.432441535871 164.853331439532 -101.764551782688 -21.2212576510628 614.147306257388 -433.137445539844 -39.9236476299611 -569.919719370624 -768.177674508976 229.448685317095 -537.359397574292 -16.4007388019418 613.741131692614 -223.281523658225 -31.4204879689114 -548.472787391605 163.791442435942 345.676828547458 223.350417005609 421.746024705728 -30.6845747582229 120.069852308687 183.862929187173 151.783035262881 44.9736362871135 347.890248955138 348.981414676295 -14.5756020942135 -289.162335142555 145.598123609698 -342.790530668382 331.594625548942 -262.661309974295 -80.2856698336855 193.652731630204 -234.474606142614 447.352748709991 186.46025083303 -181.81992435 etc...
 
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'Gwilym Jenkins' @ 72.249.127.135


Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean-4.5539904865690538.5110949127029-0.118251389551298
Geometric MeanNaN
Harmonic Mean-282.969217642371
Quadratic Mean403.933442884623
Winsorized Mean ( 1 / 37 )-0.53062264053220336.1767831105697-0.0146674909958252
Winsorized Mean ( 2 / 37 )4.4570859009167334.26732181524280.130068113433193
Winsorized Mean ( 3 / 37 )7.7515854495430333.51037868063390.231318945196605
Winsorized Mean ( 4 / 37 )6.5365895837517233.10002153779320.197479919349548
Winsorized Mean ( 5 / 37 )6.2422835532344232.98136494903000.189266986459819
Winsorized Mean ( 6 / 37 )4.7860227184478832.350500062860.147942773964798
Winsorized Mean ( 7 / 37 )7.1251926027168231.10522703213530.229067371710731
Winsorized Mean ( 8 / 37 )10.895499868711629.89050752502530.364513712575456
Winsorized Mean ( 9 / 37 )10.915233841827029.23736158079620.373331697925726
Winsorized Mean ( 10 / 37 )11.909573844534128.77272729582990.413918837866308
Winsorized Mean ( 11 / 37 )12.789596288873328.55083552702540.447958739307893
Winsorized Mean ( 12 / 37 )12.836780507035928.16490341658070.455772218252268
Winsorized Mean ( 13 / 37 )17.26001445544426.77916365524250.644531497609524
Winsorized Mean ( 14 / 37 )15.264053388235326.03480095744900.586294222613136
Winsorized Mean ( 15 / 37 )18.051911563135725.54087821678130.706785076453436
Winsorized Mean ( 16 / 37 )23.774464078887624.55344984280130.968273877239206
Winsorized Mean ( 17 / 37 )24.357773487069124.35023740143571.00030948715239
Winsorized Mean ( 18 / 37 )27.501099888110623.77853694862371.15655138697263
Winsorized Mean ( 19 / 37 )28.027222879469323.42821424335581.19630214186802
Winsorized Mean ( 20 / 37 )29.483962345839123.05885312019471.27863958333719
Winsorized Mean ( 21 / 37 )32.444252913053822.55521152137851.43843709389744
Winsorized Mean ( 22 / 37 )34.359130275380820.89107186430071.64468010538486
Winsorized Mean ( 23 / 37 )37.964489979108219.90669902607861.90712131274870
Winsorized Mean ( 24 / 37 )42.142963428878418.85728304380542.23483750713083
Winsorized Mean ( 25 / 37 )40.669171657409918.05926852864082.25198332883258
Winsorized Mean ( 26 / 37 )35.635531953264316.91391624372742.10687645840033
Winsorized Mean ( 27 / 37 )36.218498223143216.46280069407552.20002045193787
Winsorized Mean ( 28 / 37 )34.751979563389816.29022402628192.13330274079243
Winsorized Mean ( 29 / 37 )34.245087554308115.73585398107572.17624589014946
Winsorized Mean ( 30 / 37 )36.822813532823515.10675101890542.43750714410673
Winsorized Mean ( 31 / 37 )54.948943780907511.83087939754084.64453587383616
Winsorized Mean ( 32 / 37 )59.06754591476810.87601068564985.43099373676636
Winsorized Mean ( 33 / 37 )59.72055497425110.62847819692215.61891870762322
Winsorized Mean ( 34 / 37 )59.947641205071110.32635345961935.80530595233772
Winsorized Mean ( 35 / 37 )65.72908474004369.32104153647227.051688857179
Winsorized Mean ( 36 / 37 )65.08520619755228.863667486161277.34292055733915
Winsorized Mean ( 37 / 37 )64.90757453094378.723564164053067.44048800585505
Trimmed Mean ( 1 / 37 )4.6830026084839134.43424042129350.135998429214313
Trimmed Mean ( 2 / 37 )10.091529735967932.43269101132070.311153019416287
Trimmed Mean ( 3 / 37 )13.069735763066431.33790127569910.417058425453694
Trimmed Mean ( 4 / 37 )14.980139273749630.42788046476510.49231622593944
Trimmed Mean ( 5 / 37 )17.300025450951929.53756944946340.585695633506711
Trimmed Mean ( 6 / 37 )19.779640300743128.56178353368910.692521189281219
Trimmed Mean ( 7 / 37 )19.779640300743127.61081887119050.71637282447213
Trimmed Mean ( 8 / 37 )25.228811874668926.81510041266920.940843460826613
Trimmed Mean ( 9 / 37 )27.367249552977026.1635714171471.04600588033793
Trimmed Mean ( 10 / 37 )29.597009924085325.54442855451111.15864834716995
Trimmed Mean ( 11 / 37 )31.802971053107924.9201953537591.27619268635913
Trimmed Mean ( 12 / 37 )34.008284113536424.24225632688641.40285143655621
Trimmed Mean ( 13 / 37 )36.312241858949723.52588328580881.54350174307181
Trimmed Mean ( 14 / 37 )36.312241858949722.93090387125251.58355039394992
Trimmed Mean ( 15 / 37 )40.524322620724122.35600340569651.81268189511897
Trimmed Mean ( 16 / 37 )42.629333276751321.76661198507851.95847352385271
Trimmed Mean ( 17 / 37 )44.328108017792621.23645911075422.08735871581081
Trimmed Mean ( 18 / 37 )46.066701847526220.64599030772182.23126627305917
Trimmed Mean ( 19 / 37 )47.635028953686920.04232381982062.37672185031652
Trimmed Mean ( 20 / 37 )49.248421447562519.38319353768792.54077953417768
Trimmed Mean ( 21 / 37 )50.838171418788118.6597010614682.72449013257603
Trimmed Mean ( 22 / 37 )52.289290789176517.88039925674042.92439167819281
Trimmed Mean ( 23 / 37 )53.681072479408217.22338227083543.11675556143854
Trimmed Mean ( 24 / 37 )54.885034285849416.5977235077043.30678085222796
Trimmed Mean ( 25 / 37 )55.851133920496716.01876775921293.48660613350706
Trimmed Mean ( 26 / 37 )56.993640911142615.44527061085133.69003835200536
Trimmed Mean ( 27 / 37 )58.593337331064714.92773370001163.92513281041576
Trimmed Mean ( 28 / 37 )58.593337331064714.36496125234344.07890674411016
Trimmed Mean ( 29 / 37 )62.17417880850613.68656176358684.54271714711585
Trimmed Mean ( 30 / 37 )64.270276935088812.93416729774854.9690308974337
Trimmed Mean ( 31 / 37 )64.270276935088812.11016658772915.30713400757112
Trimmed Mean ( 32 / 37 )67.210872437451511.78813730834015.7015685073417
Trimmed Mean ( 33 / 37 )67.838587190241611.55659190009645.87012051448107
Trimmed Mean ( 34 / 37 )68.473612966122511.29528979794746.06213866053845
Trimmed Mean ( 35 / 37 )69.152510287124511.00561539165446.28338423851908
Trimmed Mean ( 36 / 37 )69.430898738205810.83456215802966.40827914644894
Trimmed Mean ( 37 / 37 )69.793039783260210.68563604216816.5314820295058
Median82.8831335649502
Midrange-507.970114166956
Midmean - Weighted Average at Xnp55.5423489741713
Midmean - Weighted Average at X(n+1)p58.5933373310647
Midmean - Empirical Distribution Function58.5933373310647
Midmean - Empirical Distribution Function - Averaging58.5933373310647
Midmean - Empirical Distribution Function - Interpolation60.2658000522628
Midmean - Closest Observation55.5423489741713
Midmean - True Basic - Statistics Graphics Toolkit58.5933373310647
Midmean - MS Excel (old versions)58.5933373310647
Number of observations111
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Dec/30/t12621831379deplrdextdrsh9/1w4ae1262183092.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/30/t12621831379deplrdextdrsh9/1w4ae1262183092.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/30/t12621831379deplrdextdrsh9/2txxv1262183092.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/30/t12621831379deplrdextdrsh9/2txxv1262183092.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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