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tijdreeks 1 - 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, 20 Jul 2010 10:24:27 +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/20/t1279621499vvc1zhhy6et9zji.htm/, Retrieved Tue, 20 Jul 2010 12:25:00 +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/20/t1279621499vvc1zhhy6et9zji.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:
Vanhille Olivier
 
Dataseries X:
» Textbox « » Textfile « » CSV «
568 567 566 564 584 583 568 558 559 559 560 562 563 552 552 555 575 567 548 541 544 546 551 550 546 532 523 528 555 543 525 517 519 521 520 516 509 494 484 482 508 500 480 467 471 482 481 477 471 455 441 434 459 448 432 414 415 423 425 427 415 399 386 377 397 379 361 350 348 363 367 365 354 327 312 307 335 317 298 286 288 303 310 301 293 264 255 251 279 253 233 226 232 245 250 242 230 196 188 181 212 186 166 155 157 173 182 182 168 131 114 106 134 103 83 74 83 96 95 100
 
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'RServer@AstonUniversity' @ vre.aston.ac.uk


Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean380.24166666666714.155721571080226.8613411727093
Geometric Mean338.435992051815
Harmonic Mean285.803374880624
Quadratic Mean410.40160209239
Winsorized Mean ( 1 / 40 )380.30833333333314.141272985743926.8935005863143
Winsorized Mean ( 2 / 40 )380.17514.125516090817126.9140608778995
Winsorized Mean ( 3 / 40 )380.314.053442414493327.0609854001179
Winsorized Mean ( 4 / 40 )380.33333333333314.047764325318227.0742962741666
Winsorized Mean ( 5 / 40 )380.45833333333314.014907508423127.1466888457647
Winsorized Mean ( 6 / 40 )380.60833333333313.989788672153127.2061531630524
Winsorized Mean ( 7 / 40 )380.72513.954201612670627.283897034589
Winsorized Mean ( 8 / 40 )381.12513.852031990509827.5140138472907
Winsorized Mean ( 9 / 40 )382.32513.641658282125228.0262847883358
Winsorized Mean ( 10 / 40 )382.49166666666713.593843328773728.1371248304044
Winsorized Mean ( 11 / 40 )384.23333333333313.285982447621528.920204798413
Winsorized Mean ( 12 / 40 )384.33333333333313.245961983571229.0151318424449
Winsorized Mean ( 13 / 40 )385.30833333333313.107099215181129.3969189526738
Winsorized Mean ( 14 / 40 )385.42513.061402407212529.5086996008306
Winsorized Mean ( 15 / 40 )385.67512.933054098136429.8208758019171
Winsorized Mean ( 16 / 40 )386.74166666666712.787234836608530.2443547497436
Winsorized Mean ( 17 / 40 )386.45833333333312.721356003826730.3787059506144
Winsorized Mean ( 18 / 40 )386.45833333333312.721356003826730.3787059506144
Winsorized Mean ( 19 / 40 )386.93333333333312.618906346653930.6629847867867
Winsorized Mean ( 20 / 40 )387.112.556206406703130.8293753273559
Winsorized Mean ( 21 / 40 )388.1512.333130723598931.472138640134
Winsorized Mean ( 22 / 40 )390.71666666666711.916094284112632.7889875114195
Winsorized Mean ( 23 / 40 )393.411.583985129677733.9606789542681
Winsorized Mean ( 24 / 40 )393.811.443091441419834.4137772573056
Winsorized Mean ( 25 / 40 )394.00833333333311.370125826972934.6529439805006
Winsorized Mean ( 26 / 40 )393.79166666666711.296611473755434.85927329461
Winsorized Mean ( 27 / 40 )393.79166666666710.836852881201936.3381943986483
Winsorized Mean ( 28 / 40 )393.55833333333310.65514825285836.9359791148631
Winsorized Mean ( 29 / 40 )394.04166666666710.437632542195637.7520156102159
Winsorized Mean ( 30 / 40 )393.79166666666710.356082502306838.0251573487321
Winsorized Mean ( 31 / 40 )393.79166666666710.242260833402938.4477287848794
Winsorized Mean ( 32 / 40 )394.05833333333310.152950033089738.8122005967772
Winsorized Mean ( 33 / 40 )396.2583333333339.8419904148905540.2620117099291
Winsorized Mean ( 34 / 40 )399.9416666666679.3102101706693842.957318829024
Winsorized Mean ( 35 / 40 )401.6916666666679.058314006354744.3450808157972
Winsorized Mean ( 36 / 40 )400.1916666666678.7730672002388445.6159354000812
Winsorized Mean ( 37 / 40 )401.4258.5761595691301246.8070815105784
Winsorized Mean ( 38 / 40 )400.4758.1459718568748649.1623353279837
Winsorized Mean ( 39 / 40 )399.57.8441578467627750.929622759296
Winsorized Mean ( 40 / 40 )396.8333333333337.4407400513437753.332508674546
Trimmed Mean ( 1 / 40 )381.11016949152514.051960568303927.1214943736157
Trimmed Mean ( 2 / 40 )381.93965517241413.951056495129727.3771133609665
Trimmed Mean ( 3 / 40 )382.86842105263213.84606924244327.6517771469037
Trimmed Mean ( 4 / 40 )383.78571428571413.75583080167527.8998571455955
Trimmed Mean ( 5 / 40 )384.72727272727313.654762122510128.1753185647257
Trimmed Mean ( 6 / 40 )385.67592592592613.548292076506428.4667560861574
Trimmed Mean ( 7 / 40 )386.63207547169813.4327871632928.7827143221855
Trimmed Mean ( 8 / 40 )387.60576923076913.308501400794829.1246743384361
Trimmed Mean ( 9 / 40 )388.55882352941213.18594945251829.4676409103945
Trimmed Mean ( 10 / 40 )389.3913.082356805864929.7645145884902
Trimmed Mean ( 11 / 40 )390.23469387755112.970688288812930.0858894445968
Trimmed Mean ( 12 / 40 )390.91666666666712.889022483679530.3294270113702
Trimmed Mean ( 13 / 40 )391.61702127659612.798985339121430.5975052631381
Trimmed Mean ( 14 / 40 )392.2512.713091703786930.8540211255739
Trimmed Mean ( 15 / 40 )392.912.618012707797231.1380253847113
Trimmed Mean ( 16 / 40 )393.55681818181812.522892912804831.4269890289809
Trimmed Mean ( 17 / 40 )394.15116279069812.429615988004831.7106468269876
Trimmed Mean ( 18 / 40 )394.79761904761912.326835906502432.0274904316171
Trimmed Mean ( 19 / 40 )395.47560975609812.204769821121532.4033648772049
Trimmed Mean ( 20 / 40 )396.1512.073510338701632.811501285599
Trimmed Mean ( 21 / 40 )396.84615384615411.925999448467533.2757145898702
Trimmed Mean ( 22 / 40 )397.511.780231731554533.7429694982365
Trimmed Mean ( 23 / 40 )39811.660776708241534.1315171328773
Trimmed Mean ( 24 / 40 )398.33333333333311.55914571952734.4604474239325
Trimmed Mean ( 25 / 40 )398.65714285714311.452230169933234.8104375254158
Trimmed Mean ( 26 / 40 )398.98529411764711.330060799501235.2147531401783
Trimmed Mean ( 27 / 40 )399.34848484848511.189478333354435.6896428011375
Trimmed Mean ( 28 / 40 )399.73437511.077407164935736.0855540514315
Trimmed Mean ( 29 / 40 )400.16129032258110.960681461509636.5087966225292
Trimmed Mean ( 30 / 40 )400.58333333333310.843162642092136.9434035581378
Trimmed Mean ( 31 / 40 )401.05172413793110.704732697536537.4648985144885
Trimmed Mean ( 32 / 40 )401.55357142857110.54547726170738.0782738858773
Trimmed Mean ( 33 / 40 )402.07407407407410.356936991782338.8217167289035
Trimmed Mean ( 34 / 40 )402.48076923076910.169212785470739.5783604612754
Trimmed Mean ( 35 / 40 )402.6610.018090167903540.1932896641382
Trimmed Mean ( 36 / 40 )402.7291666666679.8623387987317340.8350569662499
Trimmed Mean ( 37 / 40 )402.9130434782619.705162035346241.5153340058468
Trimmed Mean ( 38 / 40 )403.0227272727279.5304390859829642.2879495516087
Trimmed Mean ( 39 / 40 )403.2142857142869.3770258029173743.0002320766611
Trimmed Mean ( 40 / 40 )403.59.2237152534606743.7459298029186
Median414.5
Midrange329
Midmean - Weighted Average at Xnp398.114754098361
Midmean - Weighted Average at X(n+1)p400.583333333333
Midmean - Empirical Distribution Function398.114754098361
Midmean - Empirical Distribution Function - Averaging400.583333333333
Midmean - Empirical Distribution Function - Interpolation400.583333333333
Midmean - Closest Observation398.114754098361
Midmean - True Basic - Statistics Graphics Toolkit400.583333333333
Midmean - MS Excel (old versions)400.161290322581
Number of observations120
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Jul/20/t1279621499vvc1zhhy6et9zji/1okgb1279621463.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Jul/20/t1279621499vvc1zhhy6et9zji/1okgb1279621463.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Jul/20/t1279621499vvc1zhhy6et9zji/2ztgw1279621463.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Jul/20/t1279621499vvc1zhhy6et9zji/2ztgw1279621463.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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