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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: Wed, 21 Oct 2009 10:23:49 -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/Oct/21/t1256142313q0a4okhpme8qk8r.htm/, Retrieved Wed, 21 Oct 2009 18:25:14 +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/Oct/21/t1256142313q0a4okhpme8qk8r.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 «
5260,04 1438,04 -5923,96 -8842,96 -12720,96 -13688,96 16625,04 30271,04 28726,04 19948,04 1134,04 732,04 2221,04 868,04 -1626,96 -7282,96 -9602,96 -7668,96 26184,04 29489,04 27475,04 22342,04 17072,04 18279,04 20790,04 18811,04 14739,04 14964,04 11146,04 16352,04 51122,04 55743,04 54725,04 44805,04 35609,04 38353,04 41290,04 39866,04 36933,04 31114,04 28196,04 34232,04 62641,04 71790,04 72389,04 74660,04 63858,04 63917,04 60115,04 58654,04 55769,04 49328,04 46694,04 50413,04 79854,04 84076,04 82310,04 70309,04 60305,04 60863,04 59596,04 56042,04 49341,04 45367,04 44801,04 48009,04 76143,04 81461,04 73994,04 55497,04 42294,04 37791,04 37920,04 31056,04 22853,04 18944,04 11359,04 9668,04 43184,04 49976,04 33372,04 22805,04 12802,04 13531,04 14759,04 8900,04 1920,04 -463,96 -9818,96 -2880,96 26823,04 31635,04 17354,04 7454,04 1981,04 6754,04 10281,04 10669,04 9654,04 8950,04 2545,04 10599,04 40238,04
 
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'RServer@AstonUniversity' @ vre.aston.ac.uk


Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean30219.43805825242530.3109963618111.9429738485519
Geometric MeanNaN
Harmonic Mean18696.2108652841
Quadratic Mean39576.0882082113
Winsorized Mean ( 1 / 34 )30211.69048543692525.2053295803111.9640530342371
Winsorized Mean ( 2 / 34 )30251.55456310682512.7893584538512.0390332207237
Winsorized Mean ( 3 / 34 )30211.042502.5794506308812.0719603896628
Winsorized Mean ( 4 / 34 )30096.43805825242470.8127093656812.1807848665223
Winsorized Mean ( 5 / 34 )30081.43805825242449.1028103645912.2826358823925
Winsorized Mean ( 6 / 34 )30065.12737864082438.8286657766812.3276914858905
Winsorized Mean ( 7 / 34 )30048.40893203882406.0837829879712.4885131367801
Winsorized Mean ( 8 / 34 )30238.23417475732364.5038518597112.7884055468865
Winsorized Mean ( 9 / 34 )30218.39922330102327.5546533141112.9828956670359
Winsorized Mean ( 10 / 34 )29710.72932038832212.8764259518113.4262939276463
Winsorized Mean ( 11 / 34 )29832.15650485442195.081089957913.5904576105781
Winsorized Mean ( 12 / 34 )29706.21475728162171.7046937545513.6787542259827
Winsorized Mean ( 13 / 34 )29515.37980582522134.4885529216313.8278463781993
Winsorized Mean ( 14 / 34 )29480.85553398062118.2432384945013.9175969021072
Winsorized Mean ( 15 / 34 )29523.37980582522105.2314487031314.0238166326141
Winsorized Mean ( 16 / 34 )29452.23417475732092.5767421686814.0746255949657
Winsorized Mean ( 17 / 34 )29336.37009708742065.6822888257114.2017822662188
Winsorized Mean ( 18 / 34 )28936.52543689321996.2060176849714.4957610489779
Winsorized Mean ( 19 / 34 )29386.99145631071926.2353379756215.2561791786018
Winsorized Mean ( 20 / 34 )29672.041890.498969254115.6953484146607
Winsorized Mean ( 21 / 34 )29764.60310679611866.8770156292715.9435264656485
Winsorized Mean ( 22 / 34 )29908.56427184471808.9618330809616.5335518554891
Winsorized Mean ( 23 / 34 )29115.17592233011702.4992992352617.1014319567757
Winsorized Mean ( 24 / 34 )29114.01087378641662.7199427806217.5098704987553
Winsorized Mean ( 25 / 34 )29011.34097087381649.0590090795517.592663944189
Winsorized Mean ( 26 / 34 )29005.78757281551611.4412100972117.9999043037169
Winsorized Mean ( 27 / 34 )29085.73902912621601.5542903186818.1609447802975
Winsorized Mean ( 28 / 34 )28746.20504854371555.403938829218.4815045988516
Winsorized Mean ( 29 / 34 )28510.26330097091495.5573292577319.0633035211836
Winsorized Mean ( 30 / 34 )28185.79728155341442.8751107035419.5344677252143
Winsorized Mean ( 31 / 34 )28450.95262135921374.0453589353320.7059777439984
Winsorized Mean ( 32 / 34 )28676.19533980581348.7877492368421.2607175265575
Winsorized Mean ( 33 / 34 )28545.15650485441246.2438021402222.9049536341385
Winsorized Mean ( 34 / 34 )28257.97203883501211.9261583055523.3165790218966
Trimmed Mean ( 1 / 34 )30219.43805825242486.2976617199812.1543926632450
Trimmed Mean ( 2 / 34 )30120.9409900992442.3873874455812.3325812870339
Trimmed Mean ( 3 / 34 )29907.05030927842400.0724539148812.4608947786120
Trimmed Mean ( 4 / 34 )29907.05030927842356.3658800312112.6920231542660
Trimmed Mean ( 5 / 34 )29714.33032258062317.2279881337412.8232226068148
Trimmed Mean ( 6 / 34 )29631.22681318682278.6254248112713.0039920078751
Trimmed Mean ( 7 / 34 )29547.53438202252236.9881466754813.2086235798499
Trimmed Mean ( 8 / 34 )29547.53438202252196.5073492398613.4520535031435
Trimmed Mean ( 9 / 34 )29345.36941176472158.2719579901313.5966967939908
Trimmed Mean ( 10 / 34 )29224.99180722892121.0984816139813.7782342783967
Trimmed Mean ( 11 / 34 )29163.22518518522098.4750815617313.8973416655876
Trimmed Mean ( 12 / 34 )29083.93873417722074.6672911347914.0186037821366
Trimmed Mean ( 13 / 34 )29014.57246753252050.2974508361314.1513966452526
Trimmed Mean ( 14 / 34 )28961.66666666672027.2161008530814.2864229691542
Trimmed Mean ( 15 / 34 )28961.66666666672002.0989493720014.4656519977452
Trimmed Mean ( 16 / 34 )28909.3413698631973.9593981976914.6453576483176
Trimmed Mean ( 17 / 34 )28793.76463768121942.1626918255914.8256192742616
Trimmed Mean ( 18 / 34 )28744.69671641791908.1283563511315.064341253953
Trimmed Mean ( 19 / 34 )28727.80923076921877.7999806147515.2986524269557
Trimmed Mean ( 20 / 34 )28671.08761904761851.2630626139415.4873114459296
Trimmed Mean ( 21 / 34 )28586.58098360661823.7101182467315.674958809292
Trimmed Mean ( 22 / 34 )28488.65016949151793.0265538152815.8885824132789
Trimmed Mean ( 23 / 34 )28372.02245614041763.6597230556816.0870161546716
Trimmed Mean ( 24 / 34 )28311.51272727271744.0349454099716.2333402789803
Trimmed Mean ( 25 / 34 )28246.53056603771724.5896566316816.3786964959574
Trimmed Mean ( 26 / 34 )28184.74588235291701.1408813704716.5681432919576
Trimmed Mean ( 27 / 34 )28118.36653061221676.5498706770216.7715658343390
Trimmed Mean ( 28 / 34 )28039.84851063831645.4996487457817.0403248229258
Trimmed Mean ( 29 / 34 )27982.10666666671613.2840195318317.3448111602736
Trimmed Mean ( 30 / 34 )27982.10666666671581.952045025417.6883406514496
Trimmed Mean ( 31 / 34 )27938.48186046511550.1761127425318.0227792383132
Trimmed Mean ( 32 / 34 )27917.77170731711520.7183122106818.3582794283135
Trimmed Mean ( 33 / 34 )27802.41837837841484.3566413317618.7302819310555
Trimmed Mean ( 34 / 34 )27736.18285714291457.3532502582919.0318873287770
Median28196.04
Midrange35193.54
Midmean - Weighted Average at Xnp27828.6553846154
Midmean - Weighted Average at X(n+1)p28246.5305660378
Midmean - Empirical Distribution Function28246.5305660378
Midmean - Empirical Distribution Function - Averaging28246.5305660378
Midmean - Empirical Distribution Function - Interpolation28184.7458823530
Midmean - Closest Observation27828.6553846154
Midmean - True Basic - Statistics Graphics Toolkit28246.5305660378
Midmean - MS Excel (old versions)28246.5305660378
Number of observations103
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Oct/21/t1256142313q0a4okhpme8qk8r/155b51256142224.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Oct/21/t1256142313q0a4okhpme8qk8r/155b51256142224.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Oct/21/t1256142313q0a4okhpme8qk8r/20suc1256142224.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Oct/21/t1256142313q0a4okhpme8qk8r/20suc1256142224.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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