Home » date » 2009 » Jun » 03 »

Opgave 5, centrummaten aantal overvallen

*Unverified author*
R Software Module: rwasp_centraltendency.wasp (opens new window with default values)
Title produced by software: Central Tendency
Date of computation: Wed, 03 Jun 2009 04:09:36 -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/Jun/03/t1244023828evnwbc95z503pnu.htm/, Retrieved Wed, 03 Jun 2009 12:10:30 +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/Jun/03/t1244023828evnwbc95z503pnu.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 «
41 39 50 40 43 38 44 35 39 35 29 49 50 59 63 32 47 53 60 57 52 70 90 74 62 55 84 94 70 108 139 120 97 126 149 158 124 140 109 114 77 120 133 110 92 97 78 99 107 112 90 98 125 155 190 236 189 174 178 136 161 171 149 184 155 276 224 213 279 268 287 238 213 257 293 212 246 353 339 308 247 257 322 298 273 312 249 286 279 309 401 309 328 353 354 327 324 285 243 241 287 355 460 364 487 452 391 500 451 375 372 302 316 398 394 431 431
 
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 Mean197.63247863247911.810978113269516.7329476642109
Geometric Mean152.340681037301
Harmonic Mean111.268229489883
Quadratic Mean235.032985500981
Winsorized Mean ( 1 / 39 )197.54700854700911.783821874140216.76425616892
Winsorized Mean ( 2 / 39 )197.13675213675211.684008243193416.8723564750645
Winsorized Mean ( 3 / 39 )196.93162393162411.644748430211216.9116254517532
Winsorized Mean ( 4 / 39 )19711.626107342624816.9446224943872
Winsorized Mean ( 5 / 39 )196.18803418803411.465089000353217.1117759471375
Winsorized Mean ( 6 / 39 )196.18803418803411.465089000353217.1117759471375
Winsorized Mean ( 7 / 39 )194.45299145299111.15609114090317.4302082151376
Winsorized Mean ( 8 / 39 )194.31623931623911.115373369166017.4817554806816
Winsorized Mean ( 9 / 39 )194.16239316239311.048862333563617.5730665565971
Winsorized Mean ( 10 / 39 )193.99145299145310.999011930320817.6371708859303
Winsorized Mean ( 11 / 39 )192.76923076923110.739702053994517.9492158907269
Winsorized Mean ( 12 / 39 )192.66666666666710.671003760173218.0551587270304
Winsorized Mean ( 13 / 39 )191.88888888888910.531084451545318.2211898282453
Winsorized Mean ( 14 / 39 )190.81196581196610.381791710458918.3794831502675
Winsorized Mean ( 15 / 39 )190.94017094017110.334483340632718.4760248429102
Winsorized Mean ( 16 / 39 )190.94017094017110.300089780384518.5377190889926
Winsorized Mean ( 17 / 39 )191.23076923076910.266694114867018.6263238284125
Winsorized Mean ( 18 / 39 )189.3846153846159.9453920580342919.0424484303384
Winsorized Mean ( 19 / 39 )187.9230769230779.6808118849234619.4119128805448
Winsorized Mean ( 20 / 39 )187.9230769230779.6399303561674419.4942359519068
Winsorized Mean ( 21 / 39 )187.7435897435909.5323232342997219.6954703621506
Winsorized Mean ( 22 / 39 )187.5555555555569.464768963074619.8161789566418
Winsorized Mean ( 23 / 39 )187.7521367521379.1671361183777420.4810023902386
Winsorized Mean ( 24 / 39 )186.9316239316249.0688798081630820.6124271007940
Winsorized Mean ( 25 / 39 )187.1452991452998.8985859137261121.030903219873
Winsorized Mean ( 26 / 39 )187.8119658119668.8259685330177521.2794737607964
Winsorized Mean ( 27 / 39 )187.8119658119668.773746201172221.4061316005327
Winsorized Mean ( 28 / 39 )187.8119658119668.4518097161340722.2215090163995
Winsorized Mean ( 29 / 39 )188.3076923076928.1809719846714423.0177652069365
Winsorized Mean ( 30 / 39 )187.0256410256418.0339727884078623.2793470865994
Winsorized Mean ( 31 / 39 )185.9658119658127.7996947995480323.842703688430
Winsorized Mean ( 32 / 39 )186.5128205128217.7431183653320524.0875590056697
Winsorized Mean ( 33 / 39 )187.0769230769237.6249021372948524.5349933295398
Winsorized Mean ( 34 / 39 )186.7863247863257.5924484822207824.6015926513985
Winsorized Mean ( 35 / 39 )185.2905982905987.3633544712994725.1638840711547
Winsorized Mean ( 36 / 39 )185.5982905982917.3319673575991925.3135729533667
Winsorized Mean ( 37 / 39 )187.1794871794876.9735259488469626.8414412669442
Winsorized Mean ( 38 / 39 )186.5299145299156.8347141501262827.2915458397727
Winsorized Mean ( 39 / 39 )185.1965811965816.6209221841269227.9714178850454
Trimmed Mean ( 1 / 39 )196.46956521739111.630153093675216.8931194314404
Trimmed Mean ( 2 / 39 )195.35398230088511.458390344405417.0489899915364
Trimmed Mean ( 3 / 39 )194.41441441441411.324333771823917.167845661538
Trimmed Mean ( 4 / 39 )193.5137614678911.189701276545517.2939166726023
Trimmed Mean ( 5 / 39 )192.56074766355111.044005352932517.4357709463099
Trimmed Mean ( 6 / 39 )191.75238095238110.922980286667517.554950747868
Trimmed Mean ( 7 / 39 )190.91262135922310.785961739437317.7001018519450
Trimmed Mean ( 8 / 39 )190.32673267326710.695100283838617.7956940675788
Trimmed Mean ( 9 / 39 )189.73737373737410.598601886950417.9021134826274
Trimmed Mean ( 10 / 39 )189.14432989690710.499447597262618.0146934536080
Trimmed Mean ( 11 / 39 )188.54736842105310.393670746356318.1405946967439
Trimmed Mean ( 12 / 39 )188.06451612903210.312279367938818.2369493124606
Trimmed Mean ( 13 / 39 )187.57142857142910.227439722933518.3400179959827
Trimmed Mean ( 14 / 39 )187.13483146067410.148340397428218.4399442797660
Trimmed Mean ( 15 / 39 )187.13483146067410.075980066886918.5723701534170
Trimmed Mean ( 16 / 39 )186.49.9963046393443318.6468906986238
Trimmed Mean ( 17 / 39 )1869.9063199446476818.7758926664280
Trimmed Mean ( 18 / 39 )185.5555555555569.8039580064682318.9265963229477
Trimmed Mean ( 19 / 39 )185.2405063291149.7248951118594519.0480724160422
Trimmed Mean ( 20 / 39 )185.0259740259749.6631752681584419.1475336927460
Trimmed Mean ( 21 / 39 )184.89.5921326621877519.2657885903187
Trimmed Mean ( 22 / 39 )184.5753424657539.5183656051384119.3914953598874
Trimmed Mean ( 23 / 39 )184.3521126760569.4360091697139219.5370849434693
Trimmed Mean ( 24 / 39 )184.1014492753629.3718790184998819.6440275116602
Trimmed Mean ( 25 / 39 )183.8955223880609.3032759127330419.7667492733789
Trimmed Mean ( 26 / 39 )183.6615384615389.2377329501978819.8816678780051
Trimmed Mean ( 27 / 39 )183.3650793650799.1623660233354420.0128524551487
Trimmed Mean ( 28 / 39 )183.0491803278699.0726101409805520.1760218375354
Trimmed Mean ( 29 / 39 )182.7118644067809.0018522299316420.2971410482893
Trimmed Mean ( 30 / 39 )182.7118644067808.9449779351242820.426195093151
Trimmed Mean ( 31 / 39 )181.9818181818188.8880236034309320.4749476713327
Trimmed Mean ( 32 / 39 )181.6981132075478.8425013087094620.5482709998112
Trimmed Mean ( 33 / 39 )181.3529411764718.782907800656520.6483940504209
Trimmed Mean ( 34 / 39 )180.9387755102048.7148423008857320.7621399519547
Trimmed Mean ( 35 / 39 )180.5106382978728.622726266704420.9342883810300
Trimmed Mean ( 36 / 39 )180.1555555555568.5349522349030321.1079746666681
Trimmed Mean ( 37 / 39 )179.7441860465128.4144508024611221.3613687056009
Trimmed Mean ( 38 / 39 )179.1707317073178.3117535380242721.5563094944591
Trimmed Mean ( 39 / 39 )178.5897435897448.1904389430140721.8046608774331
Median171
Midrange264.5
Midmean - Weighted Average at Xnp180.724137931034
Midmean - Weighted Average at X(n+1)p182.711864406780
Midmean - Empirical Distribution Function182.711864406780
Midmean - Empirical Distribution Function - Averaging182.711864406780
Midmean - Empirical Distribution Function - Interpolation182.711864406780
Midmean - Closest Observation181.066666666667
Midmean - True Basic - Statistics Graphics Toolkit182.711864406780
Midmean - MS Excel (old versions)182.711864406780
Number of observations117
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/Jun/03/t1244023828evnwbc95z503pnu/17taw1244023774.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/Jun/03/t1244023828evnwbc95z503pnu/17taw1244023774.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/Jun/03/t1244023828evnwbc95z503pnu/244yq1244023774.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2009/Jun/03/t1244023828evnwbc95z503pnu/244yq1244023774.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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