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Tijdreeks A stap 14

*Unverified author*
R Software Module: /rwasp_centraltendency.wasp (opens new window with default values)
Title produced by software: Central Tendency
Date of computation: Mon, 02 Aug 2010 10:42:47 +0000
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Aug/02/t12807457748p2uwfil5ulzpgf.htm/, Retrieved Mon, 02 Aug 2010 12:42:55 +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/2010/Aug/02/t12807457748p2uwfil5ulzpgf.htm/},
    year = {2010},
}
@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 = {2010},
    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:
Bogaerts Yannik
 
Dataseries X:
» Textbox « » Textfile « » CSV «
442 441 440 438 458 457 442 432 433 433 434 436 439 439 441 436 460 453 435 421 412 408 402 409 410 410 416 410 437 431 411 398 394 395 389 404 397 401 402 383 406 400 377 372 362 365 361 372 355 365 367 341 370 366 333 320 298 306 293 313 293 304 304 286 320 313 283 272 251 262 247 268 251 257 261 242 274 272 243 234 217 231 209 226 208 214 222 194 230 226 197 188 175 190 165 176 159 169 170 141 170 164 132 123 113 125 101 99 87 90 89 66 102 97 65 54 33 49 30 34
 
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'RServer@AstonUniversity' @ vre.aston.ac.uk


Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean292.81666666666711.399376999865425.6870762911099
Geometric Mean253.873187730441
Harmonic Mean196.232360699272
Quadratic Mean318.127568751908
Winsorized Mean ( 1 / 40 )292.82511.39251721655125.7032747402465
Winsorized Mean ( 2 / 40 )292.82511.387303500935125.7150430719576
Winsorized Mean ( 3 / 40 )293.111.305463343028525.9255185839633
Winsorized Mean ( 4 / 40 )292.911.233206575683926.0744782023353
Winsorized Mean ( 5 / 40 )293.35833333333311.152814242283226.3035254564839
Winsorized Mean ( 6 / 40 )293.35833333333311.138639914115226.3369976581773
Winsorized Mean ( 7 / 40 )294.58333333333310.935810827279626.937493523433
Winsorized Mean ( 8 / 40 )294.6510.907130566692627.0144377752093
Winsorized Mean ( 9 / 40 )294.6510.886887559274827.064668243862
Winsorized Mean ( 10 / 40 )295.23333333333310.795804853165827.3470424251656
Winsorized Mean ( 11 / 40 )295.32510.757364505604627.453285592966
Winsorized Mean ( 12 / 40 )295.42510.71565690338927.569471723807
Winsorized Mean ( 13 / 40 )295.42510.687158597754527.6429882927042
Winsorized Mean ( 14 / 40 )296.70833333333310.495152915062828.2709871627972
Winsorized Mean ( 15 / 40 )297.83333333333310.300079772700628.9156336558395
Winsorized Mean ( 16 / 40 )297.96666666666710.247251003460329.0777171912789
Winsorized Mean ( 17 / 40 )298.81666666666710.092221700012529.6086110223179
Winsorized Mean ( 18 / 40 )300.1666666666679.907310865724530.2974914923815
Winsorized Mean ( 19 / 40 )302.8583333333339.5157196777259431.8271600667528
Winsorized Mean ( 20 / 40 )303.5259.3917536575820532.3182454594048
Winsorized Mean ( 21 / 40 )301.959.1745892679342432.9115550769487
Winsorized Mean ( 22 / 40 )301.7666666666678.9840952941277433.5889877374642
Winsorized Mean ( 23 / 40 )301.1916666666678.879131545791533.9212979460164
Winsorized Mean ( 24 / 40 )300.9916666666678.8582084283048133.9788422346106
Winsorized Mean ( 25 / 40 )301.8258.7079896867045934.660697917549
Winsorized Mean ( 26 / 40 )302.0416666666678.6815138593348234.7913591524012
Winsorized Mean ( 27 / 40 )304.7416666666678.3582386588358436.4600341178954
Winsorized Mean ( 28 / 40 )304.9758.2789553199951636.8373772066906
Winsorized Mean ( 29 / 40 )305.78.1412994234655837.5492883996975
Winsorized Mean ( 30 / 40 )305.958.0024930464189238.2318357823393
Winsorized Mean ( 31 / 40 )308.2757.6284790244773440.4110700194422
Winsorized Mean ( 32 / 40 )308.0083333333337.5429999440493940.8336650693361
Winsorized Mean ( 33 / 40 )309.3833333333337.392612931639941.8503357600657
Winsorized Mean ( 34 / 40 )309.957.2710512496137642.6279487462648
Winsorized Mean ( 35 / 40 )311.1166666666677.0849110123054943.9125722435047
Winsorized Mean ( 36 / 40 )311.7166666666676.8956323542437145.2049428758814
Winsorized Mean ( 37 / 40 )311.4083333333336.8632653439262545.3732032390266
Winsorized Mean ( 38 / 40 )312.0416666666676.6652070793660346.8164999153105
Winsorized Mean ( 39 / 40 )312.0416666666676.5976652758004747.2957710981796
Winsorized Mean ( 40 / 40 )311.3756.3216211455261249.2555616402864
Trimmed Mean ( 1 / 40 )293.62711864406811.286009516581526.016912196704
Trimmed Mean ( 2 / 40 )294.45689655172411.166924766104626.3686648490281
Trimmed Mean ( 3 / 40 )295.31578947368411.036764547628226.7574603226585
Trimmed Mean ( 4 / 40 )296.10714285714310.923982368566327.106153494827
Trimmed Mean ( 5 / 40 )296.98181818181810.819498521646627.448759994527
Trimmed Mean ( 6 / 40 )297.78703703703710.722643643028727.771792754732
Trimmed Mean ( 7 / 40 )298.62264150943410.615991368956828.1295105780382
Trimmed Mean ( 8 / 40 )299.28846153846210.536581188581228.404703212728
Trimmed Mean ( 9 / 40 )299.97058823529410.45078374913328.7031667132315
Trimmed Mean ( 10 / 40 )300.6810.355819912522929.0348811141838
Trimmed Mean ( 11 / 40 )301.3469387755110.261898689061829.3656123400162
Trimmed Mean ( 12 / 40 )302.0312510.159802684973229.728062578097
Trimmed Mean ( 13 / 40 )302.73404255319210.048523039082330.1272178384576
Trimmed Mean ( 14 / 40 )303.4673913043489.924469307648230.577694574609
Trimmed Mean ( 15 / 40 )304.1111111111119.8091710310156431.0027330698528
Trimmed Mean ( 16 / 40 )304.6818181818189.702733478386331.4016476759384
Trimmed Mean ( 17 / 40 )305.2674418604659.585962497084731.8452572658514
Trimmed Mean ( 18 / 40 )305.8095238095249.470785411067532.2897743467144
Trimmed Mean ( 19 / 40 )306.2682926829279.3607972618813432.7181845856336
Trimmed Mean ( 20 / 40 )306.53759.2819742237579133.0250324564999
Trimmed Mean ( 21 / 40 )306.7692307692319.2030761749116533.333336043171
Trimmed Mean ( 22 / 40 )307.1315789473689.1338073017996233.6258001509244
Trimmed Mean ( 23 / 40 )307.5270270270279.0719535776634533.8986552779774
Trimmed Mean ( 24 / 40 )307.9861111111119.0072891073834734.1929860848641
Trimmed Mean ( 25 / 40 )308.4857142857148.9289058322470734.549106025019
Trimmed Mean ( 26 / 40 )308.9558823529418.8512096915722934.9054980187753
Trimmed Mean ( 27 / 40 )309.4393939393948.7577106562391735.333365771675
Trimmed Mean ( 28 / 40 )309.7656258.6854975763373235.664695347325
Trimmed Mean ( 29 / 40 )310.0967741935488.6038530617328536.0416166999363
Trimmed Mean ( 30 / 40 )310.48.5188126808567336.4370026233261
Trimmed Mean ( 31 / 40 )310.7068965517248.4291649593594336.8609343926443
Trimmed Mean ( 32 / 40 )310.8758.3673787769768537.1532122885824
Trimmed Mean ( 33 / 40 )311.0740740740748.2956317743247637.498539295929
Trimmed Mean ( 34 / 40 )311.1923076923088.2216668491208337.8502697084575
Trimmed Mean ( 35 / 40 )311.288.1397507859358238.2419570557174
Trimmed Mean ( 36 / 40 )311.2916666666678.0579658801272938.6315443993602
Trimmed Mean ( 37 / 40 )311.2608695652177.9761380108256639.0240075012189
Trimmed Mean ( 38 / 40 )311.257.8661587505193539.5682327132605
Trimmed Mean ( 39 / 40 )311.1904761904767.7510059363819540.1483986394333
Trimmed Mean ( 40 / 40 )311.1257.6025626162060240.9237010868927
Median305
Midrange245
Midmean - Weighted Average at Xnp308.491803278689
Midmean - Weighted Average at X(n+1)p310.4
Midmean - Empirical Distribution Function308.491803278689
Midmean - Empirical Distribution Function - Averaging310.4
Midmean - Empirical Distribution Function - Interpolation310.4
Midmean - Closest Observation308.491803278689
Midmean - True Basic - Statistics Graphics Toolkit310.4
Midmean - MS Excel (old versions)310.096774193548
Number of observations120
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Aug/02/t12807457748p2uwfil5ulzpgf/1ic5r1280745763.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Aug/02/t12807457748p2uwfil5ulzpgf/1ic5r1280745763.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Aug/02/t12807457748p2uwfil5ulzpgf/2bl4c1280745763.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Aug/02/t12807457748p2uwfil5ulzpgf/2bl4c1280745763.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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