Home » date » 2010 » Jul » 07 »

Kelly Janbroers - 2de zit - Stap 14/A

*Unverified author*
R Software Module: /rwasp_centraltendency.wasp (opens new window with default values)
Title produced by software: Central Tendency
Date of computation: Wed, 07 Jul 2010 17:07:33 +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/Jul/07/t127852250494s6gde8w0lzsq3.htm/, Retrieved Wed, 07 Jul 2010 19:08:27 +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/Jul/07/t127852250494s6gde8w0lzsq3.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:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
33 32 31 29 49 48 33 23 24 24 25 27 24 21 15 21 49 48 35 36 51 50 61 63 61 62 58 65 93 94 86 88 102 107 121 127 125 128 117 127 160 162 153 160 177 178 196 212 212 211 204 216 248 250 240 249 275 277 286 302 290 290 277 285 311 300 291 299 332 337 343 360 353 351 341 348 381 358 353 358 399 409 407 419 418 421 414 424 463 437 430 436 474 489 482 492 502 500 493 504 538 516 502 501 541 571 559 569 576 573 562 570 597 573 562 556 600 630 624 634
 
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'George Udny Yule' @ 72.249.76.132


Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean280.88333333333317.659474184642615.9055320898287
Geometric Mean188.536604065998
Harmonic Mean100.761858431261
Quadratic Mean340.597171646115
Winsorized Mean ( 1 / 40 )280.917.647646068660415.9171369885322
Winsorized Mean ( 2 / 40 )280.817.631155579224615.9263525716304
Winsorized Mean ( 3 / 40 )280.2517.529911412144915.9869604250162
Winsorized Mean ( 4 / 40 )280.18333333333317.510540976359916.0008382214801
Winsorized Mean ( 5 / 40 )279.30833333333317.381252963998516.0695166172347
Winsorized Mean ( 6 / 40 )279.15833333333317.359826751745216.0807096364179
Winsorized Mean ( 7 / 40 )279.21666666666717.352633552955516.0907372252502
Winsorized Mean ( 8 / 40 )279.21666666666717.317342804581516.1235282928508
Winsorized Mean ( 9 / 40 )279.29166666666717.288430563507116.1548305753215
Winsorized Mean ( 10 / 40 )279.37517.256448729651916.1895998636120
Winsorized Mean ( 11 / 40 )278.82517.155609541065316.2527014462866
Winsorized Mean ( 12 / 40 )278.92517.143537064889416.2699796981364
Winsorized Mean ( 13 / 40 )278.617.098595286874116.2937361418145
Winsorized Mean ( 14 / 40 )278.48333333333317.022398258872316.3598177588275
Winsorized Mean ( 15 / 40 )276.73333333333316.754608602723016.5168485814917
Winsorized Mean ( 16 / 40 )277.93333333333316.511394645150916.8328199589704
Winsorized Mean ( 17 / 40 )274.81666666666716.108947108282517.0598776455954
Winsorized Mean ( 18 / 40 )273.16666666666715.867890932689417.2150582472127
Winsorized Mean ( 19 / 40 )272.8515.8292740631717.2370507270981
Winsorized Mean ( 20 / 40 )273.01666666666715.809492518361917.2691606861872
Winsorized Mean ( 21 / 40 )273.01666666666715.767484996026117.3151689527833
Winsorized Mean ( 22 / 40 )274.11666666666715.594530496915717.5777441148922
Winsorized Mean ( 23 / 40 )273.3515.365412111484117.7899556495265
Winsorized Mean ( 24 / 40 )273.1515.341411752698217.8047499410841
Winsorized Mean ( 25 / 40 )272.73333333333315.242483261760917.8929724671271
Winsorized Mean ( 26 / 40 )271.43333333333315.037621976115318.0502830676592
Winsorized Mean ( 27 / 40 )270.08333333333314.774872602186218.2799094520362
Winsorized Mean ( 28 / 40 )272.41666666666713.916445258977819.5751617311127
Winsorized Mean ( 29 / 40 )266.61666666666713.15771164819320.2631486230573
Winsorized Mean ( 30 / 40 )267.61666666666712.988581406968720.6039950231273
Winsorized Mean ( 31 / 40 )266.32512.791596957811520.8203089010995
Winsorized Mean ( 32 / 40 )266.85833333333312.380093218546721.5554381233213
Winsorized Mean ( 33 / 40 )267.40833333333312.138950987177422.0289490925371
Winsorized Mean ( 34 / 40 )269.67511.766788247957422.9183184329685
Winsorized Mean ( 35 / 40 )270.5511.608915787889423.3053633038015
Winsorized Mean ( 36 / 40 )270.5511.351549765244823.8337500689419
Winsorized Mean ( 37 / 40 )269.62511.122063156876324.2423546959721
Winsorized Mean ( 38 / 40 )268.99166666666711.055497230983224.3310328831538
Winsorized Mean ( 39 / 40 )266.71666666666710.749504472543324.8119964364796
Winsorized Mean ( 40 / 40 )269.059.24103661409729.1146990576328
Trimmed Mean ( 1 / 40 )280.1440677966117.561523546926515.9521505664375
Trimmed Mean ( 2 / 40 )279.36206896551717.463267924974715.9971243736113
Trimmed Mean ( 3 / 40 )278.60526315789517.360912301898416.0478469283800
Trimmed Mean ( 4 / 40 )278.01785714285717.284209090123716.0850783332468
Trimmed Mean ( 5 / 40 )277.42727272727317.201331770943316.1282438139997
Trimmed Mean ( 6 / 40 )277.00925925925917.138394261702816.1630812682527
Trimmed Mean ( 7 / 40 )276.60377358490617.068750991839916.2052732339433
Trimmed Mean ( 8 / 40 )276.17307692307716.988180897298716.2567774968179
Trimmed Mean ( 9 / 40 )275.72549019607816.900230015601216.3148957109783
Trimmed Mean ( 10 / 40 )275.2516.802298874700116.3816869377592
Trimmed Mean ( 11 / 40 )274.74489795918416.693196362653916.4584955445587
Trimmed Mean ( 12 / 40 )274.2812516.581495334480916.5414062162197
Trimmed Mean ( 13 / 40 )273.78723404255316.453054840239816.6405106347146
Trimmed Mean ( 14 / 40 )273.30434782608716.310192932198316.7566594069253
Trimmed Mean ( 15 / 40 )272.81111111111116.154728550580216.8873844123684
Trimmed Mean ( 16 / 40 )272.45454545454516.010037253734417.0177333841615
Trimmed Mean ( 17 / 40 )271.97674418604715.871758438669717.1358923610762
Trimmed Mean ( 18 / 40 )271.73809523809515.760344061479317.2418885132250
Trimmed Mean ( 19 / 40 )271.62195121951215.656877145214817.3484117362783
Trimmed Mean ( 20 / 40 )271.52515.536655055592117.4764129748939
Trimmed Mean ( 21 / 40 )271.41025641025615.394560277784217.6302701417153
Trimmed Mean ( 22 / 40 )271.28947368421115.229724119899117.8131574510759
Trimmed Mean ( 23 / 40 )271.08108108108115.054384402177618.0067861852836
Trimmed Mean ( 24 / 40 )270.91666666666714.873590331805318.2146113092375
Trimmed Mean ( 25 / 40 )270.75714285714314.659354035947718.4699231762321
Trimmed Mean ( 26 / 40 )270.61764705882414.415294491675318.7729530752982
Trimmed Mean ( 27 / 40 )270.56060606060614.149981323764419.1209161249004
Trimmed Mean ( 28 / 40 )270.5937513.866832623169919.5137388150102
Trimmed Mean ( 29 / 40 )270.46774193548413.645560869166519.8209325749763
Trimmed Mean ( 30 / 40 )270.73333333333313.479234220789720.0852161850388
Trimmed Mean ( 31 / 40 )270.94827586206913.294068525608620.3811403063055
Trimmed Mean ( 32 / 40 )271.26785714285713.088894149101420.7250401793095
Trimmed Mean ( 33 / 40 )271.57407407407412.892058505259821.0652219708184
Trimmed Mean ( 34 / 40 )271.86538461538512.678024265659821.443829016148
Trimmed Mean ( 35 / 40 )272.0212.464299713459221.8239296433371
Trimmed Mean ( 36 / 40 )272.12512.213221856683322.2811804447069
Trimmed Mean ( 37 / 40 )272.23913043478311.932506844612522.8149150869919
Trimmed Mean ( 38 / 40 )272.43181818181811.607954448438923.4694079298749
Trimmed Mean ( 39 / 40 )272.69047619047611.191371328520024.3661360333522
Trimmed Mean ( 40 / 40 )273.1510.705171886906125.5157042675886
Median285.5
Midrange324.5
Midmean - Weighted Average at Xnp267.737704918033
Midmean - Weighted Average at X(n+1)p270.733333333333
Midmean - Empirical Distribution Function267.737704918033
Midmean - Empirical Distribution Function - Averaging270.733333333333
Midmean - Empirical Distribution Function - Interpolation270.733333333333
Midmean - Closest Observation267.737704918033
Midmean - True Basic - Statistics Graphics Toolkit270.733333333333
Midmean - MS Excel (old versions)270.467741935484
Number of observations120
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Jul/07/t127852250494s6gde8w0lzsq3/12onm1278522449.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Jul/07/t127852250494s6gde8w0lzsq3/12onm1278522449.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Jul/07/t127852250494s6gde8w0lzsq3/2dx4p1278522449.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Jul/07/t127852250494s6gde8w0lzsq3/2dx4p1278522449.ps (open in new window)


 
Parameters (Session):
par1 = 0.1 ; par2 = 0.99 ; par3 = 0.01 ;
 
Parameters (R input):
par1 = 0.1 ; par2 = 0.99 ; par3 = 0.01 ;
 
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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