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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: Tue, 17 Aug 2010 13:41:55 +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/17/t1282052544fk7nrxwy1kl6bxs.htm/, Retrieved Tue, 17 Aug 2010 15:42:27 +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/17/t1282052544fk7nrxwy1kl6bxs.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:
Gregory Goris
 
Dataseries X:
» Textbox « » Textfile « » CSV «
159 158 157 155 175 174 159 149 150 150 151 153 146 156 154 151 171 167 144 138 138 132 132 132 125 131 129 131 145 156 126 123 127 116 114 114 109 110 113 114 138 155 126 123 124 124 134 131 126 128 128 124 148 174 146 137 152 159 170 166 165 168 175 180 199 228 206 193 201 214 225 224 215 222 238 248 262 288 261 240 248 260 266 268 256 261 287 295 304 331 299 275 293 309 311 311 289 298 319 325 331 348 320 305 322 337 346 343 321 331 343 345 347 363 322 304 323 340 352 351
 
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 Mean210.8166666666677.4107101627788228.4475660275473
Geometric Mean195.998638521253
Harmonic Mean182.826573262127
Quadratic Mean225.785259335797
Winsorized Mean ( 1 / 40 )210.7333333333337.3944840269133328.498720474118
Winsorized Mean ( 2 / 40 )210.7666666666677.3861739007840728.5352970966867
Winsorized Mean ( 3 / 40 )210.7166666666677.3715535396076228.5851097105215
Winsorized Mean ( 4 / 40 )210.6833333333337.366353435169928.6007636190041
Winsorized Mean ( 5 / 40 )210.6416666666677.3598939280481228.6202041396173
Winsorized Mean ( 6 / 40 )210.6916666666677.3412498252181328.6996998716641
Winsorized Mean ( 7 / 40 )210.9833333333337.2805233379679928.9791438800908
Winsorized Mean ( 8 / 40 )210.9833333333337.2805233379679928.9791438800908
Winsorized Mean ( 9 / 40 )210.8333333333337.2389230877012729.1249583369014
Winsorized Mean ( 10 / 40 )210.5833333333337.2017406016701429.2406162594217
Winsorized Mean ( 11 / 40 )210.0333333333337.1219168309104329.4911241341306
Winsorized Mean ( 12 / 40 )210.1333333333337.1118114296845129.5470901346234
Winsorized Mean ( 13 / 40 )210.2416666666677.1009625322360629.6074885217656
Winsorized Mean ( 14 / 40 )209.5416666666677.0024395092209729.9240952229202
Winsorized Mean ( 15 / 40 )209.2916666666676.9679779350445730.0362126025200
Winsorized Mean ( 16 / 40 )209.2916666666676.9363896096595930.1729975454677
Winsorized Mean ( 17 / 40 )209.4333333333336.9223254837307230.2547653711974
Winsorized Mean ( 18 / 40 )209.2833333333336.9018751088870130.3226775378557
Winsorized Mean ( 19 / 40 )209.2833333333336.8647618785305530.4866122141635
Winsorized Mean ( 20 / 40 )209.456.8096863166442930.7576575866734
Winsorized Mean ( 21 / 40 )208.056.6235811862686831.4105004753784
Winsorized Mean ( 22 / 40 )208.056.6235811862686831.4105004753784
Winsorized Mean ( 23 / 40 )207.8583333333336.5550063813951231.7098597986558
Winsorized Mean ( 24 / 40 )207.0583333333336.4521107639276232.091565211644
Winsorized Mean ( 25 / 40 )206.856.4255883990892132.1916044341278
Winsorized Mean ( 26 / 40 )207.2833333333336.3834759475332732.4718593814758
Winsorized Mean ( 27 / 40 )206.8333333333336.1766744441926433.486196367011
Winsorized Mean ( 28 / 40 )206.8333333333336.1253517972866633.766768045054
Winsorized Mean ( 29 / 40 )206.1083333333336.0351421352693834.1513635824475
Winsorized Mean ( 30 / 40 )205.6083333333335.9734625066534134.4202936076557
Winsorized Mean ( 31 / 40 )206.1255.7020999927860936.1489627086118
Winsorized Mean ( 32 / 40 )206.1255.6452250775740236.5131588497407
Winsorized Mean ( 33 / 40 )206.1255.5867936829152936.8950442237273
Winsorized Mean ( 34 / 40 )202.7255.1804005028325739.1330747283252
Winsorized Mean ( 35 / 40 )201.2666666666674.8900335006747941.1585455680198
Winsorized Mean ( 36 / 40 )200.9666666666674.7940341855451541.9201571971715
Winsorized Mean ( 37 / 40 )200.0416666666674.6262615939007143.2404572474680
Winsorized Mean ( 38 / 40 )199.7254.5906823562296643.5066041389182
Winsorized Mean ( 39 / 40 )200.054.5612060729960643.859013778037
Winsorized Mean ( 40 / 40 )199.7166666666674.5238271044918644.1477231674839
Trimmed Mean ( 1 / 40 )210.3898305084757.3738856817528628.5317456207787
Trimmed Mean ( 2 / 40 )210.0344827586217.3494069668096728.5784259474469
Trimmed Mean ( 3 / 40 )209.6491228070187.3252554180258428.6200426938175
Trimmed Mean ( 4 / 40 )209.2678571428577.302383451794128.6574730735953
Trimmed Mean ( 5 / 40 )208.8818181818187.2766805873286328.7056461631088
Trimmed Mean ( 6 / 40 )208.4907407407417.2478437056725428.7658991014893
Trimmed Mean ( 7 / 40 )208.0754716981137.2178487225812528.8279069977101
Trimmed Mean ( 8 / 40 )207.5961538461547.193948675186628.8570523949101
Trimmed Mean ( 9 / 40 )207.0980392156867.1648979022661228.9045345852291
Trimmed Mean ( 10 / 40 )206.67.1369574481120228.9479097363335
Trimmed Mean ( 11 / 40 )206.1122448979597.1090345415530328.9930009051457
Trimmed Mean ( 12 / 40 )205.6666666666677.087016586234829.0202039411246
Trimmed Mean ( 13 / 40 )205.1914893617027.0607274750354429.0609558416178
Trimmed Mean ( 14 / 40 )204.6847826086967.029558936438129.1177276496966
Trimmed Mean ( 15 / 40 )204.2222222222227.0046672112969229.1551641301187
Trimmed Mean ( 16 / 40 )203.7613636363646.9777971945403629.2013880534953
Trimmed Mean ( 17 / 40 )203.2790697674426.9478741478597729.257736314936
Trimmed Mean ( 18 / 40 )202.7619047619056.9119870402375429.3348213157148
Trimmed Mean ( 19 / 40 )202.2317073170736.8701839506635829.4361415603057
Trimmed Mean ( 20 / 40 )201.6756.8232842003305929.5568811262806
Trimmed Mean ( 21 / 40 )201.0769230769236.7722271090761729.6914028189396
Trimmed Mean ( 22 / 40 )200.5526315789476.7335086325150829.7842688744037
Trimmed Mean ( 23 / 40 )2006.6845680917963229.9196593188199
Trimmed Mean ( 24 / 40 )199.4305555555566.6321237245225130.0703913013797
Trimmed Mean ( 25 / 40 )198.8857142857146.5802748989862830.2245297254
Trimmed Mean ( 26 / 40 )198.3235294117656.5186112017980230.4241997677452
Trimmed Mean ( 27 / 40 )197.6969696969706.4461900240446830.6688088560139
Trimmed Mean ( 28 / 40 )197.06256.3833346932113430.8714033449594
Trimmed Mean ( 29 / 40 )196.3870967741946.3100465016380331.1229238521797
Trimmed Mean ( 30 / 40 )195.7166666666676.2306464948574531.4119356359254
Trimmed Mean ( 31 / 40 )195.0344827586216.1392376784400831.7685180105581
Trimmed Mean ( 32 / 40 )194.2678571428576.0607579072273332.0533933406574
Trimmed Mean ( 33 / 40 )193.4444444444445.9665774601079332.421341336436
Trimmed Mean ( 34 / 40 )192.5576923076925.8527309543568132.900485911513
Trimmed Mean ( 35 / 40 )191.845.7800755591417433.1898775434841
Trimmed Mean ( 36 / 40 )191.1666666666675.731455861159233.3539455415090
Trimmed Mean ( 37 / 40 )190.4565217391305.6767775544446433.550111821805
Trimmed Mean ( 38 / 40 )189.755.6281087251767033.7147004909793
Trimmed Mean ( 39 / 40 )1895.560876275168833.9874492162232
Trimmed Mean ( 40 / 40 )188.155.4651049207560334.4275183602462
Median174
Midrange236
Midmean - Weighted Average at Xnp193.854838709677
Midmean - Weighted Average at X(n+1)p193.854838709677
Midmean - Empirical Distribution Function193.854838709677
Midmean - Empirical Distribution Function - Averaging193.854838709677
Midmean - Empirical Distribution Function - Interpolation193.854838709677
Midmean - Closest Observation193.854838709677
Midmean - True Basic - Statistics Graphics Toolkit193.854838709677
Midmean - MS Excel (old versions)195.460317460317
Number of observations120
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Aug/17/t1282052544fk7nrxwy1kl6bxs/1gwyg1282052513.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Aug/17/t1282052544fk7nrxwy1kl6bxs/1gwyg1282052513.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Aug/17/t1282052544fk7nrxwy1kl6bxs/295g11282052513.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Aug/17/t1282052544fk7nrxwy1kl6bxs/295g11282052513.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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