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Central tendency residuals: Bel 20

*The author of this computation has been verified*
R Software Module: rwasp_centraltendency.wasp (opens new window with default values)
Title produced by software: Central Tendency
Date of computation: Sun, 14 Dec 2008 14:08:44 -0700
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2008/Dec/14/t1229289073fnasac6wbt86vtm.htm/, Retrieved Sun, 14 Dec 2008 22:11:13 +0100
 
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/2008/Dec/14/t1229289073fnasac6wbt86vtm.htm/},
    year = {2008},
}
@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 = {2008},
    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 «
3.03292821449275 11.8413874244167 58.7942231203385 -112.287518109905 2.31311402115942 -6.60735481318168 -136.410887763332 66.0268486886449 -71.9514696302174 112.798736426651 36.9441703382671 -22.3257593174066 -294.551408605613 107.587133339605 -2.48228467730405 52.525585278694 62.5346000587365 0.364349020119789 -6.94030071064526 57.1580377634591 -37.820795086815 -232.277034328264 -198.814613495449 -22.3274497956781 -73.1702151530176 -31.6763990470795 142.521988911548 -47.4464210896338 -1.75262190921467 -202.706782478373 -59.1596285173 234.812635844377 56.1752656277647 64.3922217233196 -59.6794511463945 83.8566184320798 -6.74205874461268 23.5173436086970 22.4003609728225 4.37023131072146 143.753183347962 31.5704580386823 -51.9193124480803 38.1988702853405 -102.309143222067 82.9518020495061 -45.2064497068209 77.0566125524124 114.651964696304 75.3228331641599 53.7366604885765 14.2159560590367 22.2717802213333 64.6954862290509 -15.5807821641924 -1.43588443930048 -84.5017273570957 52.6522460651281 46.4987565565029 94.9505015346685 -18.2499025718321 3.82867063178355 41.47756112561 110.149736152908 133.092928694232 84.5540561241187 40.2528491823596 -85.0637018498423 -112.050489105237 -225.829744546282 206.006886381846 129.342690026075 126.007744842466 97.7635350142564 -16.113689528579 61.3523859266516 88.1842051392878 10.5991343443029 -176.671625176693 245.280393939399 17.2612961086143 -50.570438757054 -101.958096976977 -360.686156574347 222.560020021611 97.7573748683571 -269.566007128316 73.7742064814001 -325.146570200226 55.8888973287399 -51.0091002933691 268.927309459710 -98.3835576601973 -258.464424396075 -437.940808276735 164.378147127013 -44.4208235424621 -625.134719492569 13.8063301316924
 
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'Herman Ole Andreas Wold' @ 193.190.124.10:1001


Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean-7.8444682764320514.1963498475232-0.552569383023527
Geometric MeanNaN
Harmonic Mean42.3794101054121
Quadratic Mean140.755454188748
Winsorized Mean ( 1 / 33 )-6.1924784209217213.4167177208211-0.461549430328386
Winsorized Mean ( 2 / 33 )-4.8432482470355412.8998347596927-0.375450409812141
Winsorized Mean ( 3 / 33 )-4.1375824727520512.5379703618357-0.330004167608056
Winsorized Mean ( 4 / 33 )-3.5702278079097112.1038699809892-0.294965809573074
Winsorized Mean ( 5 / 33 )-4.4108004229367811.4553601381217-0.385042492750472
Winsorized Mean ( 6 / 33 )-4.9879750318343611.1182042733763-0.448631353516196
Winsorized Mean ( 7 / 33 )-3.2233955427456810.6881168391281-0.301586854940167
Winsorized Mean ( 8 / 33 )-3.4643466890352910.4709644083581-0.330852684999101
Winsorized Mean ( 9 / 33 )-1.703190016330579.9814289662261-0.170635890120904
Winsorized Mean ( 10 / 33 )-1.646904784076539.85608042629024-0.167095306942053
Winsorized Mean ( 11 / 33 )-0.448326098232759.20014683601058-0.0487303198768462
Winsorized Mean ( 12 / 33 )4.207129555550048.267542935810410.508873021672145
Winsorized Mean ( 13 / 33 )7.026996241771177.694077586852670.91329937376491
Winsorized Mean ( 14 / 33 )6.698127218327847.639568162826270.87676778000628
Winsorized Mean ( 15 / 33 )6.685664727088667.212309162483540.92697977533543
Winsorized Mean ( 16 / 33 )6.741403894634637.203438392652140.935859172684976
Winsorized Mean ( 17 / 33 )6.873225326074517.047596275480130.97525809615226
Winsorized Mean ( 18 / 33 )8.064781583342566.531051943068291.23483653990872
Winsorized Mean ( 19 / 33 )7.475940008332196.429104347905451.16282760455860
Winsorized Mean ( 20 / 33 )9.624237889552236.085500524118361.58150309106194
Winsorized Mean ( 21 / 33 )9.690828919297246.025833872906781.60821375492427
Winsorized Mean ( 22 / 33 )11.10790202745935.496178884054552.02102265260787
Winsorized Mean ( 23 / 33 )10.82587166927115.431238456667861.99326023993299
Winsorized Mean ( 24 / 33 )12.20567515689775.158820284811042.36598184915154
Winsorized Mean ( 25 / 33 )10.47912322809874.897017808804592.13989894201687
Winsorized Mean ( 26 / 33 )10.24467652097504.841957213511982.11581310392131
Winsorized Mean ( 27 / 33 )11.01397283779924.72404204522282.33147222915535
Winsorized Mean ( 28 / 33 )11.12211215204604.58396323431222.42630919654722
Winsorized Mean ( 29 / 33 )11.00593991907584.515605857654592.43731190586954
Winsorized Mean ( 30 / 33 )12.23074769160124.179891193443242.92609236115689
Winsorized Mean ( 31 / 33 )13.64240962259663.889496621120943.50750005759482
Winsorized Mean ( 32 / 33 )16.34662848827963.502579132492534.66702617412298
Winsorized Mean ( 33 / 33 )16.25173588136193.491448607152124.65472579148686
Trimmed Mean ( 1 / 33 )-4.3339685498341712.6768435421232-0.341880732016062
Trimmed Mean ( 2 / 33 )-2.3972056315429311.8112337889455-0.202959798644113
Trimmed Mean ( 3 / 33 )-1.0952797232968611.1357423576242-0.0983571357994802
Trimmed Mean ( 4 / 33 )0.0079729221099641310.51682188808530.000758111356720495
Trimmed Mean ( 5 / 33 )1.003034361076119.957481810158660.100731729186069
Trimmed Mean ( 6 / 33 )2.235148484334229.508947098506790.235057410792117
Trimmed Mean ( 7 / 33 )3.637284225708129.07766266377320.400685105894456
Trimmed Mean ( 8 / 33 )4.806315718095258.684450224387590.553439261428225
Trimmed Mean ( 9 / 33 )6.069889141406868.273176754575250.733683000070085
Trimmed Mean ( 10 / 33 )7.15221661906657.900818512411750.905250083624978
Trimmed Mean ( 11 / 33 )8.283532228042047.486631878624421.10644310583680
Trimmed Mean ( 12 / 33 )9.331355227195017.133193483215671.30815955702752
Trimmed Mean ( 13 / 33 )9.91046292296316.90260042131061.43575787646149
Trimmed Mean ( 14 / 33 )10.21974049765226.73499168475591.51740951971533
Trimmed Mean ( 15 / 33 )10.58065117534696.545147093693451.61656430694153
Trimmed Mean ( 16 / 33 )10.96433640756346.391521325886621.71545017978054
Trimmed Mean ( 17 / 33 )11.36632709869796.208526242413691.83076090120206
Trimmed Mean ( 18 / 33 )11.78165583398256.014751905116621.95879331680498
Trimmed Mean ( 19 / 33 )12.11678384018775.869367489786972.06441049419236
Trimmed Mean ( 20 / 33 )12.52663534719375.707994528816262.19457732202688
Trimmed Mean ( 21 / 33 )12.77868565272575.570727000972852.29389909979327
Trimmed Mean ( 22 / 33 )13.04335908701965.410739273936452.41064269162801
Trimmed Mean ( 23 / 33 )13.20769034679355.305003542503082.48966664036603
Trimmed Mean ( 24 / 33 )13.40871340653335.181600167573982.58775532130864
Trimmed Mean ( 25 / 33 )13.50998958571185.073970416563042.66260708608212
Trimmed Mean ( 26 / 33 )13.76535619797034.98048249113762.76385997189322
Trimmed Mean ( 27 / 33 )13.76535619797034.866494848652322.82859771274233
Trimmed Mean ( 28 / 33 )14.32327658602144.739769326039943.02193537295800
Trimmed Mean ( 29 / 33 )14.59933519139034.59992654958063.17381919776990
Trimmed Mean ( 30 / 33 )14.91387642212344.425741044992833.36980321950753
Trimmed Mean ( 31 / 33 )15.15318249808894.272938194863863.54631445788365
Trimmed Mean ( 32 / 33 )15.29103182036894.136492082376883.69661817691247
Trimmed Mean ( 33 / 33 )15.19206963275234.044564781446193.75616919339344
Median11.8413874244167
Midrange-178.103705016430
Midmean - Weighted Average at Xnp12.2014035450360
Midmean - Weighted Average at X(n+1)p13.4087134065333
Midmean - Empirical Distribution Function13.4087134065333
Midmean - Empirical Distribution Function - Averaging13.4087134065333
Midmean - Empirical Distribution Function - Interpolation13.5099895857118
Midmean - Closest Observation12.2014035450360
Midmean - True Basic - Statistics Graphics Toolkit13.4087134065333
Midmean - MS Excel (old versions)13.4087134065333
Number of observations99
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Dec/14/t1229289073fnasac6wbt86vtm/12wwe1229288916.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Dec/14/t1229289073fnasac6wbt86vtm/12wwe1229288916.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Dec/14/t1229289073fnasac6wbt86vtm/229n51229288916.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Dec/14/t1229289073fnasac6wbt86vtm/229n51229288916.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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