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Centrummaten omzet product xc

*Unverified author*
R Software Module: /rwasp_centraltendency.wasp (opens new window with default values)
Title produced by software: Central Tendency
Date of computation: Fri, 30 Jul 2010 11:59:49 +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/30/t1280491198r2c3wh297ivwsfn.htm/, Retrieved Fri, 30 Jul 2010 13:59:58 +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/30/t1280491198r2c3wh297ivwsfn.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 «
56 55 54 52 72 71 56 46 47 47 48 50 44 38 33 33 52 54 39 22 31 31 38 42 41 31 36 34 51 47 31 19 30 33 36 40 32 25 28 29 55 55 40 38 44 41 49 59 61 47 43 39 66 68 63 68 67 59 68 78 82 70 62 68 94 102 100 104 103 93 110 114 120 102 95 103 122 139 135 135 137 130 148 148 145 128 131 133 146 163 151 157 152 149 172 167 160 150 160 165 171 179 171 176 170 169 194 196 188 174 186 191 197 206 197 204 201 190 213 213
 
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'Sir Ronald Aylmer Fisher' @ 193.190.124.24


Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean96.60833333333335.3539207319074218.0444086064971
Geometric Mean78.827774696675
Harmonic Mean63.8608783500262
Quadratic Mean112.890396698154
Winsorized Mean ( 1 / 40 )96.63333333333335.3509329709996118.0591560120554
Winsorized Mean ( 2 / 40 )96.56666666666675.3244419932686418.1364858117996
Winsorized Mean ( 3 / 40 )96.59166666666675.3075641787614218.198869276642
Winsorized Mean ( 4 / 40 )96.5255.2871595750978618.2564945560988
Winsorized Mean ( 5 / 40 )96.45.2554680074747918.3428002725716
Winsorized Mean ( 6 / 40 )96.455.2501947409526818.3707471358479
Winsorized Mean ( 7 / 40 )96.39166666666675.2408422975569318.3923997697089
Winsorized Mean ( 8 / 40 )96.25833333333335.2197037789210418.4413402388959
Winsorized Mean ( 9 / 40 )96.03333333333335.1846835046976818.5225063875781
Winsorized Mean ( 10 / 40 )96.03333333333335.163163174668618.5997091481613
Winsorized Mean ( 11 / 40 )95.94166666666675.1258024695699618.7173944443310
Winsorized Mean ( 12 / 40 )95.74166666666675.0958253886120518.7882549666294
Winsorized Mean ( 13 / 40 )94.98333333333334.9856654932747919.0512848207440
Winsorized Mean ( 14 / 40 )94.754.9244751174183919.2406292530262
Winsorized Mean ( 15 / 40 )94.754.8643827859200419.4783190735429
Winsorized Mean ( 16 / 40 )94.48333333333334.8281385683802519.5693085430708
Winsorized Mean ( 17 / 40 )94.6254.7805491536102919.7937510858013
Winsorized Mean ( 18 / 40 )94.6254.7805491536102919.7937510858013
Winsorized Mean ( 19 / 40 )94.46666666666674.7593624866339319.8485967252892
Winsorized Mean ( 20 / 40 )94.46666666666674.7206550923009520.0113469041056
Winsorized Mean ( 21 / 40 )94.11666666666674.6745059705913620.1340349672845
Winsorized Mean ( 22 / 40 )93.93333333333334.608628695181120.3820571250516
Winsorized Mean ( 23 / 40 )93.554.5592558302304320.5186994289092
Winsorized Mean ( 24 / 40 )93.154.4634000241867620.8697404434352
Winsorized Mean ( 25 / 40 )93.154.4634000241867620.8697404434352
Winsorized Mean ( 26 / 40 )92.71666666666674.3610059637511421.2603852040863
Winsorized Mean ( 27 / 40 )91.81666666666674.2016067243726221.8527512663329
Winsorized Mean ( 28 / 40 )91.81666666666674.1508998608167522.1197016900814
Winsorized Mean ( 29 / 40 )91.5754.1220297429398422.2159969022175
Winsorized Mean ( 30 / 40 )91.8254.0442347958586222.7051604654682
Winsorized Mean ( 31 / 40 )91.8253.9891074115867723.0189339432889
Winsorized Mean ( 32 / 40 )91.8253.9891074115867723.0189339432889
Winsorized Mean ( 33 / 40 )91.2753.9243362389028823.2587103763356
Winsorized Mean ( 34 / 40 )90.99166666666673.891211382985723.3838919840046
Winsorized Mean ( 35 / 40 )89.53333333333333.6619960066291324.4493257696774
Winsorized Mean ( 36 / 40 )89.23333333333333.5656455513617525.0258563415689
Winsorized Mean ( 37 / 40 )88.9253.4673378437483025.6464769247491
Winsorized Mean ( 38 / 40 )89.24166666666673.4375989078377325.9604651558376
Winsorized Mean ( 39 / 40 )88.91666666666673.3348298461402426.663029530451
Winsorized Mean ( 40 / 40 )88.253.2610778665252127.0616046632561
Trimmed Mean ( 1 / 40 )96.27966101694915.3132074304581618.1208172797889
Trimmed Mean ( 2 / 40 )95.91379310344835.2707015849153318.1975381376081
Trimmed Mean ( 3 / 40 )95.57017543859655.237919160077118.2458286426073
Trimmed Mean ( 4 / 40 )95.20535714285715.2071802593800418.2834763538976
Trimmed Mean ( 5 / 40 )94.84545454545455.1782277627493818.3161998450019
Trimmed Mean ( 6 / 40 )94.55.1529647812391418.3389570881708
Trimmed Mean ( 7 / 40 )94.13207547169815.1246295940775718.3685618138108
Trimmed Mean ( 8 / 40 )93.75961538461545.093569860068718.4074466357375
Trimmed Mean ( 9 / 40 )93.39215686274515.0614196345775318.4517711641075
Trimmed Mean ( 10 / 40 )93.045.0300495007303818.4968358634423
Trimmed Mean ( 11 / 40 )92.67346938775514.9967752173931818.5466556640711
Trimmed Mean ( 12 / 40 )92.30208333333334.9634877335023918.5962146557381
Trimmed Mean ( 13 / 40 )91.9361702127664.9288418213598518.6526923656481
Trimmed Mean ( 14 / 40 )91.63043478260874.9036516662049418.6861630923152
Trimmed Mean ( 15 / 40 )91.33333333333334.881415238594818.71042082452
Trimmed Mean ( 16 / 40 )91.02272727272734.8617237374463718.7223158263075
Trimmed Mean ( 17 / 40 )90.72093023255814.8417826691482418.7370926024067
Trimmed Mean ( 18 / 40 )90.39285714285714.8223464416041518.7445796849029
Trimmed Mean ( 19 / 40 )90.04878048780494.7976489286006618.7693559549530
Trimmed Mean ( 20 / 40 )89.74.7695434062179918.8068316734594
Trimmed Mean ( 21 / 40 )89.33333333333334.7393137120362118.8494239379971
Trimmed Mean ( 22 / 40 )88.97368421052634.7077008089661518.8996046734894
Trimmed Mean ( 23 / 40 )88.60810810810814.6764559359921718.9477051256143
Trimmed Mean ( 24 / 40 )88.254.6436281583061219.0045363219159
Trimmed Mean ( 25 / 40 )87.94.6143690420592419.0491916010197
Trimmed Mean ( 26 / 40 )87.52941176470594.5767990791013819.1245912813572
Trimmed Mean ( 27 / 40 )87.16666666666674.5426537602708819.1884900911904
Trimmed Mean ( 28 / 40 )86.843754.5197548499636419.2142611453138
Trimmed Mean ( 29 / 40 )86.54.4947675084536119.2445993785694
Trimmed Mean ( 30 / 40 )86.154.4646018290017119.2962336395546
Trimmed Mean ( 31 / 40 )85.75862068965524.4337777305135719.3421109270901
Trimmed Mean ( 32 / 40 )85.33928571428574.3991053389219219.3992366946138
Trimmed Mean ( 33 / 40 )84.88888888888894.3516518680725319.5072794107697
Trimmed Mean ( 34 / 40 )84.44230769230774.2991820630692819.6414821362607
Trimmed Mean ( 35 / 40 )83.984.2347917569214419.8309633201541
Trimmed Mean ( 36 / 40 )83.58333333333334.1900584523984119.9480112945655
Trimmed Mean ( 37 / 40 )83.17391304347834.1441774937071520.0700653313658
Trimmed Mean ( 38 / 40 )82.754.0968875155428120.1982601880238
Trimmed Mean ( 39 / 40 )82.26190476190484.0329737782080520.3973319158191
Trimmed Mean ( 40 / 40 )81.753.9635761500740620.6253133293459
Median70.5
Midrange116
Midmean - Weighted Average at Xnp84.7903225806452
Midmean - Weighted Average at X(n+1)p86.15
Midmean - Empirical Distribution Function84.7903225806452
Midmean - Empirical Distribution Function - Averaging86.15
Midmean - Empirical Distribution Function - Interpolation86.15
Midmean - Closest Observation84.7903225806452
Midmean - True Basic - Statistics Graphics Toolkit86.15
Midmean - MS Excel (old versions)85.8253968253968
Number of observations120
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Jul/30/t1280491198r2c3wh297ivwsfn/19ult1280491185.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Jul/30/t1280491198r2c3wh297ivwsfn/19ult1280491185.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Jul/30/t1280491198r2c3wh297ivwsfn/223ke1280491185.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Jul/30/t1280491198r2c3wh297ivwsfn/223ke1280491185.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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