Home » date » 2009 » Apr » 23 »

centrummaten-ruwe aardolie-Katrijn kempenaers

*Unverified author*
R Software Module: rwasp_centraltendency.wasp (opens new window with default values)
Title produced by software: Central Tendency
Date of computation: Thu, 23 Apr 2009 04:40:02 -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/Apr/23/t124048338881ucynjnt75h35z.htm/, Retrieved Thu, 23 Apr 2009 12:43:11 +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/Apr/23/t124048338881ucynjnt75h35z.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 «
66 66,3 68,4 70,6 75 83,3 83,9 87 87,1 88,5 88,6 89,5 90 90,1 90,5 90,6 90,6 90,8 90,8 91 91,3 92,1 94,1 94,7 95 95,1 96,3 96,3 96,4 96,8 96,9 97,2 97,6 99,3 99,8 100,7 101,8 102,5 103,4 103,8 104,6 105,3 106,1 107,1 109,8 110,3 111,5 113,4 114,2 115,2 117,3 118,8 125,9 131,3 133,1 137,7 145,8 146,5 147 149,8 151,7 152,9 156,8 164,4 170,4 180 180,4 188 188,5 191,6 194 199,3 199,5 202,9 203,7 205 205,6 211,1 214 215,2 215,6 217,5 218,2 218,2 219,3 230 230,3 240,2 240,7 241 242,2 247,8 252 253 255,4 259,6 270,3 289,7 315 320,2 322,7 329,5 351,6 360,6 382,2 403 435,4 464 468,8
 
Output produced by software:


Summary of computational 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 Mean168.3431192660558.8623246064137718.9953682292593
Geometric Mean147.896339396665
Harmonic Mean132.222728917344
Quadratic Mean191.890103774545
Winsorized Mean ( 1 / 36 )168.3018348623858.8483054486739619.0207984838055
Winsorized Mean ( 2 / 36 )167.8155963302758.6881335696498919.3154945173153
Winsorized Mean ( 3 / 36 )166.9844036697258.4389409316229319.7873649102093
Winsorized Mean ( 4 / 36 )166.3825688073398.2305294746628420.2152934777207
Winsorized Mean ( 5 / 36 )165.7724770642207.9599834706362720.8257313191342
Winsorized Mean ( 6 / 36 )165.3100917431197.8462076675340121.0687887381745
Winsorized Mean ( 7 / 36 )164.0899082568817.5265522673546521.8014706373059
Winsorized Mean ( 8 / 36 )163.5981651376157.4255597854416722.0317618960338
Winsorized Mean ( 9 / 36 )163.5073394495417.3738181101064922.1740402337074
Winsorized Mean ( 10 / 36 )163.0394495412847.2799104755033422.395804191536
Winsorized Mean ( 11 / 36 )160.5770642201846.7992403826370723.6169123583632
Winsorized Mean ( 12 / 36 )158.4963302752296.4338192216418224.6348746856433
Winsorized Mean ( 13 / 36 )157.2321100917436.2328455549408925.2263767336738
Winsorized Mean ( 14 / 36 )156.7440366972486.1466105557296225.5008895188808
Winsorized Mean ( 15 / 36 )156.4275229357806.0964714191175925.6586986441448
Winsorized Mean ( 16 / 36 )156.2807339449546.074998685877125.7252292594349
Winsorized Mean ( 17 / 36 )155.6568807339455.9773302291507126.0412048132836
Winsorized Mean ( 18 / 36 )154.7321100917435.8472662905790826.4622992014306
Winsorized Mean ( 19 / 36 )154.5577981651385.8148551507341726.5798191285338
Winsorized Mean ( 20 / 36 )154.5577981651385.8017188001178126.6400016081440
Winsorized Mean ( 21 / 36 )154.6155963302755.7729781642287426.7826400744635
Winsorized Mean ( 22 / 36 )153.0211009174315.4644455274546128.0030426048935
Winsorized Mean ( 23 / 36 )153.0844036697255.4435532318350528.1221469047928
Winsorized Mean ( 24 / 36 )150.7944954128445.137134670673829.353813960471
Winsorized Mean ( 25 / 36 )150.5651376146795.1037724942802929.5007541545817
Winsorized Mean ( 26 / 36 )150.8513761467895.0751266644631429.7236672343717
Winsorized Mean ( 27 / 36 )150.6779816513765.0538598198632329.8144362966233
Winsorized Mean ( 28 / 36 )150.2155963302754.9918231090053930.0923316091233
Winsorized Mean ( 29 / 36 )150.2155963302754.968316567131530.2347071287777
Winsorized Mean ( 30 / 36 )149.9128440366974.9256809504075730.4349480906377
Winsorized Mean ( 31 / 36 )149.1733944954134.8184079442872230.9590628730959
Winsorized Mean ( 32 / 36 )147.6761467889914.6167350041278531.9871395384298
Winsorized Mean ( 33 / 36 )148.0091743119274.5442485186807032.5706601880341
Winsorized Mean ( 34 / 36 )147.7596330275234.4818048960406632.9687785289488
Winsorized Mean ( 35 / 36 )147.7917431192664.4235846093247933.4099505653684
Winsorized Mean ( 36 / 36 )147.0321100917434.2589907860534334.5227584368619
Trimmed Mean ( 1 / 36 )166.4915887850478.5207589427108719.5395257516906
Trimmed Mean ( 2 / 36 )164.6123809523818.1455767559608220.2088060654416
Trimmed Mean ( 3 / 36 )162.9174757281557.8151348314182420.8464062671316
Trimmed Mean ( 4 / 36 )161.4544554455457.5471431254445921.3927909888463
Trimmed Mean ( 5 / 36 )160.097979797987.3132948490936321.8913612949465
Trimmed Mean ( 6 / 36 )158.8226804123717.1243839043264422.2928301654158
Trimmed Mean ( 7 / 36 )157.5821052631586.9369665554940822.7162844166162
Trimmed Mean ( 8 / 36 )156.4924731182806.7952509398531723.0296827156851
Trimmed Mean ( 9 / 36 )155.4285714285716.6532260640332523.3613843769423
Trimmed Mean ( 10 / 36 )154.3292134831466.4989700610607423.7467186389772
Trimmed Mean ( 11 / 36 )153.2379310344836.338045752004524.1774731566144
Trimmed Mean ( 12 / 36 )152.3823529411766.237721423848824.4291693371509
Trimmed Mean ( 13 / 36 )151.7132530120486.1804838134038624.5471483450894
Trimmed Mean ( 14 / 36 )151.1419753086426.1427966105138624.6047500661101
Trimmed Mean ( 15 / 36 )150.5898734177226.1087293664368924.6515869969794
Trimmed Mean ( 16 / 36 )150.0389610389616.073073239944624.7056070478626
Trimmed Mean ( 17 / 36 )149.4726.0311741375521124.7832340090029
Trimmed Mean ( 18 / 36 )148.9287671232885.9925951514649324.8521322330412
Trimmed Mean ( 19 / 36 )148.4338028169015.9618738171077224.8971728302883
Trimmed Mean ( 20 / 36 )147.9246376811595.9259487626381924.9621864120378
Trimmed Mean ( 21 / 36 )147.3850746268665.880908118419525.0616183179675
Trimmed Mean ( 22 / 36 )146.8076923076925.8268795695253125.1949075926503
Trimmed Mean ( 23 / 36 )146.3190476190485.801777654176725.2196923668235
Trimmed Mean ( 24 / 36 )145.7934426229515.7686385343664425.2734578106068
Trimmed Mean ( 25 / 36 )145.4084745762715.7668155705109525.2146913315259
Trimmed Mean ( 26 / 36 )145.0140350877195.761665968107525.1687681810112
Trimmed Mean ( 27 / 36 )144.5690909090915.7508318079223925.1388139555623
Trimmed Mean ( 28 / 36 )144.1037735849065.7324142401596225.1384089752894
Trimmed Mean ( 29 / 36 )143.6372549019615.7108523870385325.1516315196595
Trimmed Mean ( 30 / 36 )143.1326530612245.6783785440100825.2066064197517
Trimmed Mean ( 31 / 36 )142.6085106382985.6356083683714325.3049007874032
Trimmed Mean ( 32 / 36 )142.0955555555565.5913189889251325.4136020207411
Trimmed Mean ( 33 / 36 )141.6534883720935.5624595498793925.4659808492746
Trimmed Mean ( 34 / 36 )141.1414634146345.5249996971744325.5459676290690
Trimmed Mean ( 35 / 36 )140.5974358974365.4752411530391725.6787659150673
Trimmed Mean ( 36 / 36 )139.9918918918925.4069252367858625.8912201965474
Median133.1
Midrange267.4
Midmean - Weighted Average at Xnp142.365454545455
Midmean - Weighted Average at X(n+1)p143.707142857143
Midmean - Empirical Distribution Function143.707142857143
Midmean - Empirical Distribution Function - Averaging143.707142857143
Midmean - Empirical Distribution Function - Interpolation143.707142857143
Midmean - Closest Observation143.707142857143
Midmean - True Basic - Statistics Graphics Toolkit143.707142857143
Midmean - MS Excel (old versions)143.707142857143
Number of observations109
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/Apr/23/t124048338881ucynjnt75h35z/11gw91240483200.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/Apr/23/t124048338881ucynjnt75h35z/11gw91240483200.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/Apr/23/t124048338881ucynjnt75h35z/2xmbd1240483200.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/Apr/23/t124048338881ucynjnt75h35z/2xmbd1240483200.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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