Home » date » 2010 » Dec » 24 »

Kristof Nagels

*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: Fri, 24 Dec 2010 14:57:15 +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/Dec/24/t129320254972yyg26os8t6tpk.htm/, Retrieved Fri, 24 Dec 2010 15:55:51 +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/2010/Dec/24/t129320254972yyg26os8t6tpk.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 «
15 14,4 13 13,7 13,6 15,2 12,9 14 14,1 13,2 11,3 13,3 14,4 13,3 11,6 13,2 13,1 14,6 14 14,3 13,8 13,7 11 14,4 15,6 13,7 12,6 13,2 13,3 14,3 14 13,4 13,9 13,7 10,5 14,5 15 13,5 13,5 13,2 13,8 16,2 14,7 13,9 16 14,4 12,3 15,9 15,9 15,5 15,1 14,5 15,1 17,4 16,2 15,6 17,2 14,9 13,8 17,5 16,2 17,5 16,6 16,2 16,6 19,6 15,9 18 18,3 16,3 14,9 18,2 18,4 18,5 16 17,4 17,2 19,6 17,2 18,3 19,3 18,1 16,2 18,4 20,5 19 16,5 18,7 19 19,2 20,5 19,3 20,6 20,1 16,1 20,4 19,7 15,6 14,4 13,7 14,1 15 14,2 13,6 15,4 14,8 12,5 16,2 16,1 16 15,8 15,2 15,7 18,9 17,4 17 19,8 17,7 16 19,6 19,7
 
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'Gwilym Jenkins' @ 72.249.127.135


Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean15.71735537190080.21179307201263474.2109041742557
Geometric Mean15.5481040815154
Harmonic Mean15.3809402533699
Quadratic Mean15.8876686939565
Winsorized Mean ( 1 / 40 )15.72066115702480.21082586313502474.5670427871387
Winsorized Mean ( 2 / 40 )15.72561983471070.20992760435707874.9097284412495
Winsorized Mean ( 3 / 40 )15.73057851239670.20819254628705175.5578371701539
Winsorized Mean ( 4 / 40 )15.74380165289260.20282404458195677.6229548392173
Winsorized Mean ( 5 / 40 )15.73966942148760.19951897849772478.8880814246306
Winsorized Mean ( 6 / 40 )15.73966942148760.19802217415850579.4843783953655
Winsorized Mean ( 7 / 40 )15.75702479338840.19582004742323780.4668623092092
Winsorized Mean ( 8 / 40 )15.75702479338840.19392575631364681.2528727122962
Winsorized Mean ( 9 / 40 )15.76446280991740.19305739131610681.6568726141397
Winsorized Mean ( 10 / 40 )15.77272727272730.19212097313817582.0978939211568
Winsorized Mean ( 11 / 40 )15.74545454545450.1877039753685283.8845022570322
Winsorized Mean ( 12 / 40 )15.74545454545450.1877039753685283.8845022570322
Winsorized Mean ( 13 / 40 )15.73471074380170.18602226955683784.5850917811432
Winsorized Mean ( 14 / 40 )15.72314049586780.18117978959536786.7819778960036
Winsorized Mean ( 15 / 40 )15.72314049586780.18117978959536786.7819778960036
Winsorized Mean ( 16 / 40 )15.70991735537190.17920241475137687.6657682161691
Winsorized Mean ( 17 / 40 )15.69586776859500.17352843184532790.4512741899578
Winsorized Mean ( 18 / 40 )15.68099173553720.16767045128343593.5226905844586
Winsorized Mean ( 19 / 40 )15.66528925619830.16548913534453694.660529971254
Winsorized Mean ( 20 / 40 )15.68181818181820.16371210368375995.7889968362422
Winsorized Mean ( 21 / 40 )15.66446280991740.16132995595638097.0958103661338
Winsorized Mean ( 22 / 40 )15.68264462809920.15941818149827998.3742536811492
Winsorized Mean ( 23 / 40 )15.66363636363640.1568368456175199.872171631381
Winsorized Mean ( 24 / 40 )15.64380165289260.154183589549857101.462170510916
Winsorized Mean ( 25 / 40 )15.62314049586780.151461022136694103.149577861477
Winsorized Mean ( 26 / 40 )15.55867768595040.143224714216435108.631235684917
Winsorized Mean ( 27 / 40 )15.53636363636360.135344677834711114.791094004725
Winsorized Mean ( 28 / 40 )15.53636363636360.135344677834711114.791094004725
Winsorized Mean ( 29 / 40 )15.51239669421490.132472619177945117.098890249748
Winsorized Mean ( 30 / 40 )15.53719008264460.129834246053251119.669428944595
Winsorized Mean ( 31 / 40 )15.53719008264460.129834246053251119.669428944595
Winsorized Mean ( 32 / 40 )15.51074380165290.120820209145112128.378720012176
Winsorized Mean ( 33 / 40 )15.51074380165290.120820209145112128.378720012176
Winsorized Mean ( 34 / 40 )15.51074380165290.120820209145112128.378720012176
Winsorized Mean ( 35 / 40 )15.48181818181820.111148524463252139.289462065120
Winsorized Mean ( 36 / 40 )15.36280991735540.0980887060681991156.621598277318
Winsorized Mean ( 37 / 40 )15.39338842975210.0948446281807894162.301109983896
Winsorized Mean ( 38 / 40 )15.39338842975210.0882703050036697174.389206303435
Winsorized Mean ( 39 / 40 )15.32892561983470.0817039439563894187.615491707680
Winsorized Mean ( 40 / 40 )15.32892561983470.075024679286925204.318442484914
Trimmed Mean ( 1 / 40 )15.72016806722690.20675317029091076.0335043235755
Trimmed Mean ( 2 / 40 )15.71965811965810.20224294654113477.7266074713805
Trimmed Mean ( 3 / 40 )15.71652173913040.19776373901201779.4712004215062
Trimmed Mean ( 4 / 40 )15.71150442477880.19349712694478781.1976109043826
Trimmed Mean ( 5 / 40 )15.70270270270270.19046672904255382.4432843554239
Trimmed Mean ( 6 / 40 )15.69449541284400.18796094033255683.4987066199818
Trimmed Mean ( 7 / 40 )15.68598130841120.1854971283341884.5618552118626
Trimmed Mean ( 8 / 40 )15.67428571428570.18317023333474785.5722320648062
Trimmed Mean ( 9 / 40 )15.66213592233010.18089880986752686.5795409809473
Trimmed Mean ( 10 / 40 )15.64851485148510.17847324929976587.6798899156129
Trimmed Mean ( 11 / 40 )15.63333333333330.17586843154875688.8922087702778
Trimmed Mean ( 12 / 40 )15.62061855670100.17361960572503789.9703607289577
Trimmed Mean ( 13 / 40 )15.60736842105260.17105326901423191.242736902936
Trimmed Mean ( 14 / 40 )15.59462365591400.16837621775218192.6177334548899
Trimmed Mean ( 15 / 40 )15.58241758241760.16600302604442493.8682742942744
Trimmed Mean ( 16 / 40 )15.56966292134830.16327380775316595.3592198014164
Trimmed Mean ( 17 / 40 )15.55747126436780.16041439406694696.9830129949262
Trimmed Mean ( 18 / 40 )15.54588235294120.15788831408050298.4612600588971
Trimmed Mean ( 19 / 40 )15.53493975903610.15573504756314199.752367897391
Trimmed Mean ( 20 / 40 )15.52469135802470.153513690870099101.129034615951
Trimmed Mean ( 21 / 40 )15.51265822784810.151122244481231102.649734200941
Trimmed Mean ( 22 / 40 )15.50129870129870.14863808140235104.288877756287
Trimmed Mean ( 23 / 40 )15.4880.145935441730764106.129119947256
Trimmed Mean ( 24 / 40 )15.47534246575340.143103522122369108.140891546473
Trimmed Mean ( 25 / 40 )15.46338028169010.140124110504032110.354886293785
Trimmed Mean ( 26 / 40 )15.45217391304350.136975126951801112.81007184962
Trimmed Mean ( 27 / 40 )15.44477611940300.134424810841378114.895278801083
Trimmed Mean ( 28 / 40 )15.43846153846150.132445422498584116.564704519151
Trimmed Mean ( 29 / 40 )15.43174603174600.130024720892378118.683169829828
Trimmed Mean ( 30 / 40 )15.42622950819670.127500169063303120.989874927442
Trimmed Mean ( 31 / 40 )15.42622950819670.124766867957738123.640432437737
Trimmed Mean ( 32 / 40 )15.41052631578950.121387245930022126.953422476307
Trimmed Mean ( 33 / 40 )15.40363636363640.118689920442175129.780492785323
Trimmed Mean ( 34 / 40 )15.39622641509430.115301153738135133.530549486619
Trimmed Mean ( 35 / 40 )15.38823529411760.111025418704979138.601011134287
Trimmed Mean ( 36 / 40 )15.38163265306120.107486491375089143.102937460158
Trimmed Mean ( 37 / 40 )15.38297872340430.105462250588218145.862416529189
Trimmed Mean ( 38 / 40 )15.38222222222220.103391424965775148.776576271331
Trimmed Mean ( 39 / 40 )15.38139534883720.101879122671189150.97691210475
Trimmed Mean ( 40 / 40 )15.38536585365850.101004767794358152.323164436976
Median15.5
Midrange15.55
Midmean - Weighted Average at Xnp15.4580645161290
Midmean - Weighted Average at X(n+1)p15.4580645161290
Midmean - Empirical Distribution Function15.4580645161290
Midmean - Empirical Distribution Function - Averaging15.4580645161290
Midmean - Empirical Distribution Function - Interpolation15.4580645161290
Midmean - Closest Observation15.3815384615385
Midmean - True Basic - Statistics Graphics Toolkit15.4580645161290
Midmean - MS Excel (old versions)15.4580645161290
Number of observations121
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Dec/24/t129320254972yyg26os8t6tpk/1uccc1293202633.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/24/t129320254972yyg26os8t6tpk/1uccc1293202633.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/24/t129320254972yyg26os8t6tpk/2n4bx1293202633.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/24/t129320254972yyg26os8t6tpk/2n4bx1293202633.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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