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ct ruwe olie

*Unverified author*
R Software Module: /rwasp_centraltendency.wasp (opens new window with default values)
Title produced by software: Central Tendency
Date of computation: Mon, 28 Dec 2009 06:51:26 -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/28/t1262008337rc89tjaf619rx3l.htm/, Retrieved Mon, 28 Dec 2009 14:52:19 +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/28/t1262008337rc89tjaf619rx3l.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 «
32,68 31,54 32,43 26,54 25,85 27,6 25,71 25,38 28,57 27,64 25,36 25,9 26,29 21,74 19,2 19,32 19,82 20,36 24,31 25,97 25,61 24,67 25,59 26,09 28,37 27,34 24,46 27,46 30,23 32,33 29,87 24,87 25,48 27,28 28,24 29,58 26,95 29,08 28,76 29,59 30,7 30,52 32,67 33,19 37,13 35,54 37,75 41,84 42,94 49,14 44,61 40,22 44,23 45,85 53,38 53,26 51,8 55,3 57,81 63,96 63,77 59,15 56,12 57,42 63,52 61,71 63,01 68,18 72,03 69,75 74,41 74,33 64,24 60,03 59,44 62,5 55,04 58,34 61,92 67,65 67,68 70,3 75,26 71,44 76,36 81,71 92,6 90,6 92,23 94,09 102,79 109,65 124,05 132,69 135,81 116,07 101,42 75,73 55,48 43,80 45,29 44,01 47,48 51,07 57,84 69,04 65,61 72,87 68,41 73,25 77,43
 
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 Mean51.3560360360362.4999474532701420.5428461981703
Geometric Mean45.4064366310611
Harmonic Mean40.4019357109850
Quadratic Mean57.6620632386402
Winsorized Mean ( 1 / 37 )51.3290090090092.4913322235780620.6030366095815
Winsorized Mean ( 2 / 37 )51.18234234234242.4460737094819420.9242845560784
Winsorized Mean ( 3 / 37 )50.98126126126132.3884227594631721.3451580375662
Winsorized Mean ( 4 / 37 )50.79963963963962.3274265293309921.8265277118078
Winsorized Mean ( 5 / 37 )50.60639639639642.2464957324795922.5268161718425
Winsorized Mean ( 6 / 37 )50.54045045045052.2301341519253422.6625157983512
Winsorized Mean ( 7 / 37 )50.09144144144142.1374265445538923.4353978475065
Winsorized Mean ( 8 / 37 )49.99846846846852.1159926552924123.6288478333869
Winsorized Mean ( 9 / 37 )50.00819819819822.106255676839723.7427007310111
Winsorized Mean ( 10 / 37 )49.86315315315322.0796059208286723.9772125351923
Winsorized Mean ( 11 / 37 )48.99207207207211.9318739448668325.3598699864702
Winsorized Mean ( 12 / 37 )48.54126126126131.8622492635763626.0659312427597
Winsorized Mean ( 13 / 37 )48.41828828828831.8445202500620626.2498003405814
Winsorized Mean ( 14 / 37 )48.35144144144141.8322343195983326.3893329167861
Winsorized Mean ( 15 / 37 )48.30684684684681.8215255280945526.5199944232346
Winsorized Mean ( 16 / 37 )48.19153153153151.8043831617938326.7080366032800
Winsorized Mean ( 17 / 37 )48.191.8015628077778926.7489980321248
Winsorized Mean ( 18 / 37 )48.03432432432431.7765276229523027.0383211067099
Winsorized Mean ( 19 / 37 )48.00351351351351.7643266918724427.2078372642929
Winsorized Mean ( 20 / 37 )47.89720720720721.7400551836409727.5262575908569
Winsorized Mean ( 21 / 37 )47.86315315315311.7174317195791427.8690282748953
Winsorized Mean ( 22 / 37 )47.70261261261261.6823047629686928.3555118327275
Winsorized Mean ( 23 / 37 )47.60108108108111.6670909911182128.5533791104901
Winsorized Mean ( 24 / 37 )47.47351351351351.6458081547888128.8451077213221
Winsorized Mean ( 25 / 37 )47.36315315315311.6255197416516729.1372365032172
Winsorized Mean ( 26 / 37 )47.31864864864871.6181563177698629.2423223448913
Winsorized Mean ( 27 / 37 )47.3429729729731.5878992741177129.8148464103796
Winsorized Mean ( 28 / 37 )47.36819819819821.5834364871688429.9148078132845
Winsorized Mean ( 29 / 37 )46.88747747747751.5167601332098730.9129152664707
Winsorized Mean ( 30 / 37 )46.56855855855861.4700990057688131.6771580524979
Winsorized Mean ( 31 / 37 )46.57972972972971.4517530449469932.0851606902816
Winsorized Mean ( 32 / 37 )46.66909909909911.4300670164622732.6342042448823
Winsorized Mean ( 33 / 37 )46.59774774774781.4216826362366032.7764766622590
Winsorized Mean ( 34 / 37 )46.52729729729731.3955261730572833.340325818015
Winsorized Mean ( 35 / 37 )46.481.3660229402241734.0257828996434
Winsorized Mean ( 36 / 37 )46.38594594594591.3358886920385434.7229123372262
Winsorized Mean ( 37 / 37 )46.37594594594591.3220251842111135.0794723881298
Trimmed Mean ( 1 / 37 )50.87623853211012.4054975290006821.1499857799670
Trimmed Mean ( 2 / 37 )50.40654205607482.3077618414885421.8421767575296
Trimmed Mean ( 3 / 37 )49.99647619047622.2243299974104722.4770947875006
Trimmed Mean ( 4 / 37 )49.64271844660192.1545853034170323.0404980335993
Trimmed Mean ( 5 / 37 )49.32485148514852.0962415712476823.5301370613456
Trimmed Mean ( 6 / 37 )49.03747474747472.0529295193174523.8865846518581
Trimmed Mean ( 7 / 37 )49.03747474747472.0076453349694424.4253673162950
Trimmed Mean ( 8 / 37 )48.52705263157891.9767130797449024.549365878553
Trimmed Mean ( 9 / 37 )48.30752688172041.9455680545975424.8295230627198
Trimmed Mean ( 10 / 37 )48.0770329670331.9115312281015625.1510580942906
Trimmed Mean ( 11 / 37 )47.85426966292131.8771681158134425.4927991050948
Trimmed Mean ( 12 / 37 )47.72229885057471.8623349138180325.6249821106226
Trimmed Mean ( 13 / 37 )47.63317647058821.8552935259835425.6741996904973
Trimmed Mean ( 14 / 37 )47.63317647058821.8489023642960225.7629485420258
Trimmed Mean ( 15 / 37 )47.47419753086421.8423322650436625.7685317853015
Trimmed Mean ( 16 / 37 )47.39620253164561.835237071567125.8256566772456
Trimmed Mean ( 17 / 37 )47.32454545454551.8283283262046825.8840519923376
Trimmed Mean ( 18 / 37 )47.24921.8196246396411525.9664542734034
Trimmed Mean ( 19 / 37 )47.18287671232881.8117326116995726.0429582200140
Trimmed Mean ( 20 / 37 )47.11535211267611.8029429868195426.1324692223293
Trimmed Mean ( 21 / 37 )47.05246376811591.7946081317012326.2187955893813
Trimmed Mean ( 22 / 37 )46.98850746268661.7864259178864426.30308203224
Trimmed Mean ( 23 / 37 )46.93307692307691.7799602675324226.3674857125552
Trimmed Mean ( 24 / 37 )46.88190476190481.7727592515367126.4457256230733
Trimmed Mean ( 25 / 37 )46.83704918032791.7654064741050826.530461889277
Trimmed Mean ( 26 / 37 )46.79745762711861.7576273556379926.6253580299631
Trimmed Mean ( 27 / 37 )46.75842105263161.7474577629876126.7579692299339
Trimmed Mean ( 28 / 37 )46.75842105263161.7375211038041226.9109946062002
Trimmed Mean ( 29 / 37 )46.66584905660381.7240116841062527.0681744716806
Trimmed Mean ( 30 / 37 )46.64921568627451.7155658037256227.1917379006789
Trimmed Mean ( 31 / 37 )46.64921568627451.709767336631427.2839553586181
Trimmed Mean ( 32 / 37 )46.66106382978721.7025945329877327.4058578984779
Trimmed Mean ( 33 / 37 )46.66044444444441.6941354565103727.542333917358
Trimmed Mean ( 34 / 37 )46.66534883720931.6816286780812927.7500909953877
Trimmed Mean ( 35 / 37 )46.67634146341461.6670965616500927.9985830078219
Trimmed Mean ( 36 / 37 )46.69230769230771.6504662761421928.290373676369
Trimmed Mean ( 37 / 37 )46.71783783783781.6310554595667428.6427034493651
Median45.85
Midrange77.505
Midmean - Weighted Average at Xnp46.3848214285714
Midmean - Weighted Average at X(n+1)p46.7584210526316
Midmean - Empirical Distribution Function46.7584210526316
Midmean - Empirical Distribution Function - Averaging46.7584210526316
Midmean - Empirical Distribution Function - Interpolation46.7147272727273
Midmean - Closest Observation46.3848214285714
Midmean - True Basic - Statistics Graphics Toolkit46.7584210526316
Midmean - MS Excel (old versions)46.7584210526316
Number of observations111
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Dec/28/t1262008337rc89tjaf619rx3l/1bmv61262008283.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/28/t1262008337rc89tjaf619rx3l/1bmv61262008283.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/28/t1262008337rc89tjaf619rx3l/2716o1262008283.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/28/t1262008337rc89tjaf619rx3l/2716o1262008283.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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