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Tijdreeks1-Stap14

*Unverified author*
R Software Module: /rwasp_centraltendency.wasp (opens new window with default values)
Title produced by software: Central Tendency
Date of computation: Thu, 01 Jul 2010 14:55:02 +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/01/t1277996124a1v53syqdn0qx0h.htm/, Retrieved Thu, 01 Jul 2010 16:55:24 +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/01/t1277996124a1v53syqdn0qx0h.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:
Steffi Poppe
 
Dataseries X:
» Textbox « » Textfile « » CSV «
300 299 298 296 316 315 300 290 291 291 292 294 302 296 282 282 298 300 289 275 270 269 268 260 271 269 260 262 285 286 272 248 240 234 231 222 233 236 226 232 248 253 233 216 209 202 204 193 201 201 188 198 220 225 215 198 195 183 180 170 175 180 161 174 195 198 188 173 162 149 140 129 132 133 116 128 148 154 152 141 136 119 114 100 108 115 101 116 131 133 135 124 131 113 118 99 107 112 106 121 138 134 132 121 132 113 112 91 96 99 99 110 127 122 124 114 129 113 115 94
 
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'Sir Ronald Aylmer Fisher' @ 193.190.124.24


Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean190.7833333333336.3930567130537229.8422713729069
Geometric Mean177.937353398701
Harmonic Mean165.808487345071
Quadratic Mean203.130376851913
Winsorized Mean ( 1 / 40 )190.86.3884590445259529.8663572342207
Winsorized Mean ( 2 / 40 )190.6166666666676.3505793129218230.0156343656413
Winsorized Mean ( 3 / 40 )190.6416666666676.3340128910816430.0980863071959
Winsorized Mean ( 4 / 40 )190.6416666666676.3340128910816430.0980863071959
Winsorized Mean ( 5 / 40 )190.6416666666676.3340128910816430.0980863071959
Winsorized Mean ( 6 / 40 )190.6416666666676.3207319257739230.161327660376
Winsorized Mean ( 7 / 40 )190.6416666666676.3053575973483730.2348699060047
Winsorized Mean ( 8 / 40 )190.9756.2664513175198230.4757813191766
Winsorized Mean ( 9 / 40 )190.96.2365530413470430.6098575181471
Winsorized Mean ( 10 / 40 )190.9833333333336.2271766281493830.6693297360493
Winsorized Mean ( 11 / 40 )190.9833333333336.1809885547922230.8985094601511
Winsorized Mean ( 12 / 40 )190.9833333333336.1313012329023731.1489072349700
Winsorized Mean ( 13 / 40 )190.8756.1163504352725631.2073354886989
Winsorized Mean ( 14 / 40 )190.9916666666676.1037653786319231.2907942587851
Winsorized Mean ( 15 / 40 )190.8666666666676.0866057350888531.358473831537
Winsorized Mean ( 16 / 40 )190.7333333333336.0684094212427931.4305314775996
Winsorized Mean ( 17 / 40 )190.455.995818454187431.7638036333459
Winsorized Mean ( 18 / 40 )190.35.9757868110571431.8451788888926
Winsorized Mean ( 19 / 40 )189.9833333333335.8960531751235332.2221200675235
Winsorized Mean ( 20 / 40 )189.9833333333335.8960531751235332.2221200675235
Winsorized Mean ( 21 / 40 )188.9333333333335.7195024040353933.0331766623669
Winsorized Mean ( 22 / 40 )188.3833333333335.6505271479293433.3390723381211
Winsorized Mean ( 23 / 40 )188.5755.585741934173333.7600630717125
Winsorized Mean ( 24 / 40 )188.5755.5398184614149734.0399241082413
Winsorized Mean ( 25 / 40 )188.7833333333335.4704347111576334.5097498281601
Winsorized Mean ( 26 / 40 )188.7833333333335.4704347111576334.5097498281601
Winsorized Mean ( 27 / 40 )188.7833333333335.4193886718058134.8348023671881
Winsorized Mean ( 28 / 40 )187.855.2012664101070236.116204244984
Winsorized Mean ( 29 / 40 )187.3666666666675.143636210313936.4268892677448
Winsorized Mean ( 30 / 40 )188.1166666666675.0667972764383337.1273323962355
Winsorized Mean ( 31 / 40 )186.5666666666674.8281204381677238.6416762083651
Winsorized Mean ( 32 / 40 )185.54.6484689205503139.9056126157857
Winsorized Mean ( 33 / 40 )185.54.6484689205503139.9056126157857
Winsorized Mean ( 34 / 40 )183.84.3389900592065842.3600878296571
Winsorized Mean ( 35 / 40 )182.6333333333334.2133895769745343.3459403638804
Winsorized Mean ( 36 / 40 )182.3333333333334.1189820431625444.2666006849932
Winsorized Mean ( 37 / 40 )182.0254.0865712738077144.5422305898989
Winsorized Mean ( 38 / 40 )182.0254.0865712738077144.5422305898989
Winsorized Mean ( 39 / 40 )182.0254.0191847790958145.2890349671731
Winsorized Mean ( 40 / 40 )181.6916666666673.9844374400098245.600331138897
Trimmed Mean ( 1 / 40 )190.5677966101696.3574471611878429.9755219002974
Trimmed Mean ( 2 / 40 )190.3275862068976.3220868380872630.1051837915722
Trimmed Mean ( 3 / 40 )190.1754385964916.3032392686425430.1710645100495
Trimmed Mean ( 4 / 40 )190.0089285714296.2872761689104830.2211837792319
Trimmed Mean ( 5 / 40 )189.8363636363646.2679337669503930.2869128319980
Trimmed Mean ( 6 / 40 )189.6574074074076.2448339610108830.3702882400906
Trimmed Mean ( 7 / 40 )189.4716981132086.2204371095745730.4595472593992
Trimmed Mean ( 8 / 40 )189.2788461538466.1946044955573730.5554367981996
Trimmed Mean ( 9 / 40 )189.0294117647066.1708267102059730.6327532179876
Trimmed Mean ( 10 / 40 )188.786.1472927440303430.7094533904091
Trimmed Mean ( 11 / 40 )188.5102040816336.1203692379005130.8004626443580
Trimmed Mean ( 12 / 40 )188.2291666666676.094872722334930.8831989184768
Trimmed Mean ( 13 / 40 )187.9361702127666.0709374872850230.9566966562215
Trimmed Mean ( 14 / 40 )187.6413043478266.0437286406592831.0472748702624
Trimmed Mean ( 15 / 40 )187.3222222222226.0122394467858331.1568133438806
Trimmed Mean ( 16 / 40 )1875.976508348326631.2891723898218
Trimmed Mean ( 17 / 40 )186.6744186046515.9359656844960331.4480285983156
Trimmed Mean ( 18 / 40 )186.3571428571435.8966194808154831.6040645769074
Trimmed Mean ( 19 / 40 )186.0365853658545.8517632495824131.7915434085836
Trimmed Mean ( 20 / 40 )185.7255.8078399381211831.9783261899056
Trimmed Mean ( 21 / 40 )185.3974358974365.7547368533766732.2164923646598
Trimmed Mean ( 22 / 40 )185.1315789473685.7131839559152532.4042741098314
Trimmed Mean ( 23 / 40 )184.8918918918925.6708614832383432.6038455424077
Trimmed Mean ( 24 / 40 )184.6255.6263908904615932.814108296847
Trimmed Mean ( 25 / 40 )184.3428571428575.5769744654346433.0542767024289
Trimmed Mean ( 26 / 40 )184.0294117647065.5243085841443833.3126596680169
Trimmed Mean ( 27 / 40 )183.6969696969705.4588936307870133.6509523946313
Trimmed Mean ( 28 / 40 )183.343755.3849446002920334.0474719071496
Trimmed Mean ( 29 / 40 )183.0322580645165.324080361765634.3781922186874
Trimmed Mean ( 30 / 40 )182.7333333333335.2558746613426734.7674450224908
Trimmed Mean ( 31 / 40 )182.3620689655175.179926486003535.2055322519097
Trimmed Mean ( 32 / 40 )182.0714285714295.1204870622922235.5574433362445
Trimmed Mean ( 33 / 40 )181.8333333333335.0707606487541135.8591828581004
Trimmed Mean ( 34 / 40 )181.5769230769235.0043982279908936.283468022452
Trimmed Mean ( 35 / 40 )181.424.9670004909956536.5250618212912
Trimmed Mean ( 36 / 40 )181.3333333333334.9340808327694236.7511882109872
Trimmed Mean ( 37 / 40 )181.2608695652174.9006984400785336.986742151454
Trimmed Mean ( 38 / 40 )181.2045454545454.8558044368374537.3171011748081
Trimmed Mean ( 39 / 40 )181.1428571428574.7898425517771137.8181234946126
Trimmed Mean ( 40 / 40 )181.0754.7096991438563338.4472541597922
Median185.5
Midrange203.5
Midmean - Weighted Average at Xnp182.095238095238
Midmean - Weighted Average at X(n+1)p184
Midmean - Empirical Distribution Function182.095238095238
Midmean - Empirical Distribution Function - Averaging184
Midmean - Empirical Distribution Function - Interpolation184
Midmean - Closest Observation182.095238095238
Midmean - True Basic - Statistics Graphics Toolkit184
Midmean - MS Excel (old versions)182.095238095238
Number of observations120
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Jul/01/t1277996124a1v53syqdn0qx0h/1pl6l1277996098.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Jul/01/t1277996124a1v53syqdn0qx0h/1pl6l1277996098.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Jul/01/t1277996124a1v53syqdn0qx0h/20dnn1277996098.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Jul/01/t1277996124a1v53syqdn0qx0h/20dnn1277996098.ps (open in new window)


 
Parameters (Session):
par1 = grey ;
 
Parameters (R input):
par1 = grey ;
 
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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