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Gemiddelde voor Q9

*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, 26 Oct 2008 08:26:52 -0600
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2008/Oct/26/t12250312930gzifw7ksbigtbs.htm/, Retrieved Sun, 26 Oct 2008 14:28:15 +0000
 
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/Oct/26/t12250312930gzifw7ksbigtbs.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},
}
 
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
 
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Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
0,97 0,88 0,94 1,03 1,52 1,48 1,78 1,30 1,45 1,32 1,38 1,48 1,78 1,23 1,18 1,22 1,16 1,28 1,05 0,86 0,75 0,36 0,07 0,79 0,95 0,87 0,91 1,12 0,95 1,12 0,75 0,89 0,94 0,89 0,94 0,73 0,48 0,35 0,09 0,62 0,91 0,69 0,46 0,57 0,78 0,31 0,81 1,00 1,07 0,90 0,94 0,83 0,76 0,95 0,83 0,94 0,81 0,68 0,71 0,65 0,68 0,67 0,81 0,67 0,50 0,44 0,47 0,56 0,45 0,79 0,91 0,70 0,82 0,94 0,82 0,83 0,87 0,89 0,94 1,13 1,06 1,24 1,67 0,69 1,29 1,11 1,06 2,10 1,17 1,25 1,38 1,31 1,31 1,38 2,20 1,88 2,60 4,00 4,00 12,00 1,67 2,00 1,20 2,00 0,91
 
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'George Udny Yule' @ 72.249.76.132


Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean1.169809523809520.1192864147142989.80672884344225
Geometric Mean0.952076782307922
Harmonic Mean0.746202314744964
Quadratic Mean1.68768960134149
Winsorized Mean ( 1 / 35 )1.093809523809520.064514441827051916.9544910074828
Winsorized Mean ( 2 / 35 )1.0980.063952449139307817.1690062660184
Winsorized Mean ( 3 / 35 )1.059142857142860.048627897577576621.7805603347995
Winsorized Mean ( 4 / 35 )1.044285714285710.044322299670004523.5611807613955
Winsorized Mean ( 5 / 35 )1.043333333333330.042614565831429324.4830215438649
Winsorized Mean ( 6 / 35 )1.038190476190480.041213457774032525.1905695921640
Winsorized Mean ( 7 / 35 )1.038857142857140.041122597525094225.2624397625467
Winsorized Mean ( 8 / 35 )1.030476190476190.039032573264962126.4004164798739
Winsorized Mean ( 9 / 35 )1.022761904761900.037175579649945427.5116599227904
Winsorized Mean ( 10 / 35 )1.024666666666670.036911702053329227.7599408769135
Winsorized Mean ( 11 / 35 )1.019428571428570.033870532583629330.0978016484245
Winsorized Mean ( 12 / 35 )1.020571428571430.033722588534967130.2637333878802
Winsorized Mean ( 13 / 35 )1.008190476190480.029663491501601533.9875862602366
Winsorized Mean ( 14 / 35 )1.006857142857140.028297644281804335.5809527051185
Winsorized Mean ( 15 / 35 )1.009714285714290.027957469381035236.1160830385893
Winsorized Mean ( 16 / 35 )1.005142857142860.027228551825921536.9150318228076
Winsorized Mean ( 17 / 35 )0.9954285714285710.025315600805933139.3207563612426
Winsorized Mean ( 18 / 35 )0.995428571428570.025315600805933139.3207563612426
Winsorized Mean ( 19 / 35 )0.9972380952380950.025100711151905939.7294757587923
Winsorized Mean ( 20 / 35 )0.9858095238095240.023478920852598441.9870031505483
Winsorized Mean ( 21 / 35 )0.9858095238095240.022965486508158942.9256973702385
Winsorized Mean ( 22 / 35 )0.9879047619047620.022716881153503543.4876933690522
Winsorized Mean ( 23 / 35 )0.9900952380952380.021910781144633945.1875828415053
Winsorized Mean ( 24 / 35 )0.9923809523809530.021086566653078547.0622348677172
Winsorized Mean ( 25 / 35 )0.990.020765126442920547.6760882107473
Winsorized Mean ( 26 / 35 )0.9850476190476190.019505857019108050.5000943092457
Winsorized Mean ( 27 / 35 )0.9876190476190480.018608913048941753.0723661839676
Winsorized Mean ( 28 / 35 )0.9876190476190480.017978173483036354.9343373814329
Winsorized Mean ( 29 / 35 )0.9848571428571430.017621953032399355.8880812499279
Winsorized Mean ( 30 / 35 )0.9848571428571430.016293504338267560.4447712665516
Winsorized Mean ( 31 / 35 )0.9789523809523810.015551476502887162.949159892994
Winsorized Mean ( 32 / 35 )0.9759047619047620.015174621693961964.3116369940929
Winsorized Mean ( 33 / 35 )0.9759047619047620.014460819388990867.4861317089495
Winsorized Mean ( 34 / 35 )0.9661904761904760.013289796791582572.7016741747657
Winsorized Mean ( 35 / 35 )0.9661904761904760.012545434609083477.0153052721599
Trimmed Mean ( 1 / 35 )1.075339805825240.05850602360360518.3799844800764
Trimmed Mean ( 2 / 35 )1.056138613861390.051125737119192620.6576701554277
Trimmed Mean ( 3 / 35 )1.033939393939390.042016728167777724.6078035826767
Trimmed Mean ( 4 / 35 )1.024845360824740.039049629570994826.2446884153281
Trimmed Mean ( 5 / 35 )1.019473684210530.037224348863181627.3872805124841
Trimmed Mean ( 6 / 35 )1.014086021505380.03563989173809128.4536785060306
Trimmed Mean ( 7 / 35 )1.009450549450550.034193431895543629.5217675878305
Trimmed Mean ( 8 / 35 )1.004494382022470.032535048766866630.874223955227
Trimmed Mean ( 9 / 35 )1.000574712643680.031100442740822832.1723623352253
Trimmed Mean ( 10 / 35 )0.9975294117647060.029839864807310533.4294212861286
Trimmed Mean ( 11 / 35 )0.9940963855421690.028419031994522334.9799523690244
Trimmed Mean ( 12 / 35 )0.9911111111111110.027360194570097336.2245637022744
Trimmed Mean ( 13 / 35 )0.9878481012658230.026143855200680937.7850968681962
Trimmed Mean ( 14 / 35 )0.9857142857142860.025458494609049638.7184828031387
Trimmed Mean ( 15 / 35 )0.98360.024879993047709139.5337731049152
Trimmed Mean ( 16 / 35 )0.981095890410960.024247865198000740.4611244082574
Trimmed Mean ( 17 / 35 )0.978873239436620.023622235965782841.4386360738472
Trimmed Mean ( 18 / 35 )0.9773913043478260.023188552322640242.1497336594638
Trimmed Mean ( 19 / 35 )0.9758208955223880.022668185678607143.0480369870673
Trimmed Mean ( 20 / 35 )0.9740.022073740054644144.1248287598222
Trimmed Mean ( 21 / 35 )0.9730158730158730.021624542438396044.9959057301582
Trimmed Mean ( 22 / 35 )0.9719672131147540.021157514486398045.9395745062411
Trimmed Mean ( 23 / 35 )0.9706779661016950.020622776566521447.0682482046319
Trimmed Mean ( 24 / 35 )0.9691228070175440.020094202803929948.2289751165451
Trimmed Mean ( 25 / 35 )0.9672727272727270.019571941961691549.4213976909387
Trimmed Mean ( 26 / 35 )0.9654716981132080.018977042959517250.8757713292213
Trimmed Mean ( 27 / 35 )0.9654716981132080.018462635147189652.2932772280979
Trimmed Mean ( 28 / 35 )0.962040816326530.017963917897959253.5540644190888
Trimmed Mean ( 29 / 35 )0.960.017437611799581355.0534104689183
Trimmed Mean ( 30 / 35 )0.9580.016828307080390456.9278891467538
Trimmed Mean ( 31 / 35 )0.9558139534883720.016303572763164658.6260427314365
Trimmed Mean ( 32 / 35 )0.953902439024390.015780035429109860.449955471247
Trimmed Mean ( 33 / 35 )0.9520512820512820.015165214685637362.7786221155809
Trimmed Mean ( 34 / 35 )0.950.014498627873361365.5234418248265
Trimmed Mean ( 35 / 35 )0.9485714285714290.013921405180831668.1376208974595
Median0.94
Midrange6.035
Midmean - Weighted Average at Xnp0.96
Midmean - Weighted Average at X(n+1)p0.965471698113208
Midmean - Empirical Distribution Function0.965471698113208
Midmean - Empirical Distribution Function - Averaging0.965471698113208
Midmean - Empirical Distribution Function - Interpolation0.965471698113208
Midmean - Closest Observation0.957636363636364
Midmean - True Basic - Statistics Graphics Toolkit0.965471698113208
Midmean - MS Excel (old versions)0.965471698113208
Number of observations105
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Oct/26/t12250312930gzifw7ksbigtbs/10qf51225031210.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Oct/26/t12250312930gzifw7ksbigtbs/10qf51225031210.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Oct/26/t12250312930gzifw7ksbigtbs/2sou11225031210.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Oct/26/t12250312930gzifw7ksbigtbs/2sou11225031210.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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