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centrummaten

*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 12:37:45 +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/t1277989719x1nvofxcsuj0hxu.htm/, Retrieved Thu, 01 Jul 2010 15:08:39 +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/t1277989719x1nvofxcsuj0hxu.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:
thomas talboom
 
Dataseries X:
» Textbox « » Textfile « » CSV «
68 67 66 64 84 83 68 58 59 59 60 62 58 58 59 62 87 83 68 58 68 63 65 68 62 69 74 72 94 102 92 81 99 95 92 93 85 92 99 107 125 137 125 115 135 128 120 123 119 128 139 155 164 176 162 155 174 171 162 160 156 163 180 195 203 212 203 184 200 198 195 177 176 180 194 204 206 219 213 196 214 209 213 194 197 211 240 251 254 273 271 245 264 264 262 237 237 251 272 282 278 291 293 271 284 290 288 262 263 275 297 301 296 309 310 292 300 314 310 288
 
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 Mean169.8583333333337.5770209129335722.4175616360507
Geometric Mean147.624474747113
Harmonic Mean126.056261984515
Quadratic Mean188.901539609043
Winsorized Mean ( 1 / 40 )169.8257.5717636909875122.4287242617118
Winsorized Mean ( 2 / 40 )169.8257.5717636909875122.4287242617118
Winsorized Mean ( 3 / 40 )169.87.567886968319922.4369101587806
Winsorized Mean ( 4 / 40 )169.5666666666677.5235739068875822.5380475775527
Winsorized Mean ( 5 / 40 )169.5257.5174769526679322.5507841350729
Winsorized Mean ( 6 / 40 )169.3757.4958070679173522.595965779981
Winsorized Mean ( 7 / 40 )169.3757.4802921505956822.6428322036208
Winsorized Mean ( 8 / 40 )169.3083333333337.4358111818307622.7693158410254
Winsorized Mean ( 9 / 40 )169.2333333333337.4253590518901122.7912660048749
Winsorized Mean ( 10 / 40 )169.157.4138152703412522.8155131780366
Winsorized Mean ( 11 / 40 )169.157.3900877098004322.8887675819707
Winsorized Mean ( 12 / 40 )169.057.3507069154512422.9977880963606
Winsorized Mean ( 13 / 40 )169.1583333333337.3377405508251123.0531908510055
Winsorized Mean ( 14 / 40 )168.8083333333337.2609744605468323.2487160298619
Winsorized Mean ( 15 / 40 )168.6833333333337.2129666866023623.3861239989715
Winsorized Mean ( 16 / 40 )168.2833333333337.1274824495816423.6104872265537
Winsorized Mean ( 17 / 40 )167.8583333333337.0729422464399723.7324620341445
Winsorized Mean ( 18 / 40 )167.5583333333337.0349547014694723.8179690479505
Winsorized Mean ( 19 / 40 )167.47.0150638235285723.8629332834492
Winsorized Mean ( 20 / 40 )167.2333333333336.9942326514650523.9101759502243
Winsorized Mean ( 21 / 40 )167.4083333333336.9734238988473924.0066193826255
Winsorized Mean ( 22 / 40 )166.6756.7505177983780224.6906985476059
Winsorized Mean ( 23 / 40 )167.0583333333336.7055758377333224.9133463517436
Winsorized Mean ( 24 / 40 )168.2583333333336.520829541080525.8032098942818
Winsorized Mean ( 25 / 40 )168.4666666666676.4487848000088726.1237848511296
Winsorized Mean ( 26 / 40 )168.4666666666676.4487848000088726.1237848511296
Winsorized Mean ( 27 / 40 )166.8916666666676.2077456342065326.8844241534389
Winsorized Mean ( 28 / 40 )166.4256.0995093536892227.2849815205775
Winsorized Mean ( 29 / 40 )166.9083333333336.0455553022225827.6084371061781
Winsorized Mean ( 30 / 40 )166.6583333333335.7339044708522129.0654185434246
Winsorized Mean ( 31 / 40 )165.3666666666675.5872370232242829.5972170107143
Winsorized Mean ( 32 / 40 )164.5666666666675.4980482064364229.9318340777756
Winsorized Mean ( 33 / 40 )164.8416666666675.467615325130730.1487315519451
Winsorized Mean ( 34 / 40 )160.0254.8935225937304232.7013918777087
Winsorized Mean ( 35 / 40 )158.8583333333334.7148418117674633.6932477642939
Winsorized Mean ( 36 / 40 )159.7583333333334.5497098105715335.1139611062941
Winsorized Mean ( 37 / 40 )159.7583333333334.5497098105715335.1139611062941
Winsorized Mean ( 38 / 40 )160.3916666666674.4124425521900236.3498594643594
Winsorized Mean ( 39 / 40 )161.6916666666674.2011702356850938.4872922532974
Winsorized Mean ( 40 / 40 )163.6916666666673.8474735395739642.5452351999262
Trimmed Mean ( 1 / 40 )169.5847457627127.5478801591303622.4678641138164
Trimmed Mean ( 2 / 40 )169.3362068965527.5198881132773222.5184476611517
Trimmed Mean ( 3 / 40 )169.0789473684217.4873504539242222.5819464988185
Trimmed Mean ( 4 / 40 )168.8214285714297.4512920101125422.6566652256162
Trimmed Mean ( 5 / 40 )168.6181818181827.4232799044726222.714781604367
Trimmed Mean ( 6 / 40 )168.4166666666677.391936671838522.7838351630221
Trimmed Mean ( 7 / 40 )168.2358490566047.360069922892322.857914506129
Trimmed Mean ( 8 / 40 )168.0480769230777.3257500031213422.9393682355357
Trimmed Mean ( 9 / 40 )167.8627450980397.2934848476037923.0154375590688
Trimmed Mean ( 10 / 40 )167.687.2571369260636423.1055306945892
Trimmed Mean ( 11 / 40 )167.57.2162248228764623.2115828028253
Trimmed Mean ( 12 / 40 )167.31257.1718001682638123.3292194532107
Trimmed Mean ( 13 / 40 )167.1276595744687.1253963359935623.4552089025886
Trimmed Mean ( 14 / 40 )166.9239130434787.0727438869717123.601011956754
Trimmed Mean ( 15 / 40 )166.7444444444447.0214858611375923.7477433896633
Trimmed Mean ( 16 / 40 )166.5681818181826.9674904791802523.9064814391794
Trimmed Mean ( 17 / 40 )166.4186046511636.9148913462205124.0666984221122
Trimmed Mean ( 18 / 40 )166.2976190476196.8595402983283324.2432600167311
Trimmed Mean ( 19 / 40 )166.195121951226.7986802619731924.4452034140791
Trimmed Mean ( 20 / 40 )166.16.7290368336680124.6840675873457
Trimmed Mean ( 21 / 40 )166.0128205128216.6492569944320224.9671234924198
Trimmed Mean ( 22 / 40 )165.9078947368426.5575235385356225.3003887461289
Trimmed Mean ( 23 / 40 )165.8513513513516.4776173862008325.603758521561
Trimmed Mean ( 24 / 40 )165.7638888888896.387876484730825.9497642581414
Trimmed Mean ( 25 / 40 )165.5857142857146.3041112766562926.2663057517508
Trimmed Mean ( 26 / 40 )165.3823529411766.2124033164030926.6213161828216
Trimmed Mean ( 27 / 40 )165.1666666666676.1014952247989227.0698673982999
Trimmed Mean ( 28 / 40 )165.0468756.0015883185195327.5005325658048
Trimmed Mean ( 29 / 40 )164.9516129032265.8951004322192727.9811370136621
Trimmed Mean ( 30 / 40 )164.8166666666675.7723034238790528.553015072778
Trimmed Mean ( 31 / 40 )164.6896551724145.6682432718257229.0547965700435
Trimmed Mean ( 32 / 40 )164.6428571428575.5614295889057429.6044127702878
Trimmed Mean ( 33 / 40 )164.6481481481485.4417156602792830.2566613963248
Trimmed Mean ( 34 / 40 )164.6346153846155.2959921701680331.0866425203555
Trimmed Mean ( 35 / 40 )164.965.2072132074416831.6791330464929
Trimmed Mean ( 36 / 40 )165.3958333333335.1192983838287332.3083010468387
Trimmed Mean ( 37 / 40 )165.8043478260875.0332824227406532.9415943514264
Trimmed Mean ( 38 / 40 )166.254.9169772121561233.8114237318376
Trimmed Mean ( 39 / 40 )166.6904761904764.7901961551370734.7982568546207
Trimmed Mean ( 40 / 40 )167.0754.66717774216135.7978652689239
Median172.5
Midrange186
Midmean - Weighted Average at Xnp163.540983606557
Midmean - Weighted Average at X(n+1)p164.816666666667
Midmean - Empirical Distribution Function163.540983606557
Midmean - Empirical Distribution Function - Averaging164.816666666667
Midmean - Empirical Distribution Function - Interpolation164.816666666667
Midmean - Closest Observation163.540983606557
Midmean - True Basic - Statistics Graphics Toolkit164.816666666667
Midmean - MS Excel (old versions)166.31746031746
Number of observations120
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Jul/01/t1277989719x1nvofxcsuj0hxu/15stc1277987862.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Jul/01/t1277989719x1nvofxcsuj0hxu/15stc1277987862.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Jul/01/t1277989719x1nvofxcsuj0hxu/25stc1277987862.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Jul/01/t1277989719x1nvofxcsuj0hxu/25stc1277987862.ps (open in new window)


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