Home » date » 2010 » Mar » 17 »

Melino Olivini - Opgave 5 - oefening 2.1

*Unverified author*
R Software Module: /rwasp_centraltendency.wasp (opens new window with default values)
Title produced by software: Central Tendency
Date of computation: Tue, 16 Mar 2010 17:36:09 -0600
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Mar/17/t1268782704zx5ssy0bopxuybv.htm/, Retrieved Wed, 17 Mar 2010 00:38:26 +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/Mar/17/t1268782704zx5ssy0bopxuybv.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:
KDGP1W52
 
Dataseries X:
» Textbox « » Textfile « » CSV «
5221,3 5115,9 5107,4 5202,1 5307,5 5266,1 5329,8 5263,4 5177,1 5204,9 5185,2 5189,8 5253,8 5372,3 5478,4 5590,5 5699,8 5797,9 5854,3 5902,4 5956,9 6007,8 6101,7 6148,6 6207,4 6232 6291,7 6323,4 6365 6435 6493,4 6606,8 6639,1 6723,5 6759,4 6848,6 6918,1 6963,5 7013,1 7030,9 7112,1 7130,3 7130,8 7076,9 7040,8 7086,5 7120,7 7154,1 7228,2 7297,9 7369,5 7450,7 7459,7 7497,5 7536 7637,4 7715,1 7815,7 7859,5 7951,6 7973,7 7988 8053,1 8112 8169,2 8303,1 8372,7 8470,6 8536,1 8665,8 8773,7 8838,4 8936,2 8995,3 9098,9 9237,1 9315,5 9392,6 9502,2 9671,1 9695,6 9847,9 9836,6 9887,7 9875,6 9905,9 9871,1 9910 9977,3 10031,6 10090,7 10095,8 10126 10212,7 10398,7 10467 10543,6 10634,2 10728,7 10796,4 10875,8 10946,1 11050 11086,1 11217,3 11291,7 11314,1 11356,4 11357,8 11491,4 11625,7 11620,7 11646 11700,6
 
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'Gwilym Jenkins' @ 72.249.127.135


Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean8080.48157894737189.07362715592142.7372220044403
Geometric Mean7829.12982272115
Harmonic Mean7582.03306404301
Quadratic Mean8326.69208453237
Winsorized Mean ( 1 / 38 )8080.07719298246188.98270036066342.7556447101354
Winsorized Mean ( 2 / 38 )8080.7947368421188.77578128514542.8063106497549
Winsorized Mean ( 3 / 38 )8080.87631578947188.724948988242.818272619031
Winsorized Mean ( 4 / 38 )8076.50087719298187.96175577509442.9688520618892
Winsorized Mean ( 5 / 38 )8071.18070175439186.96158342359343.1702628634021
Winsorized Mean ( 6 / 38 )8071.25438596491186.93011680093343.1779240504097
Winsorized Mean ( 7 / 38 )8069.66403508772186.39167053322443.2941236698092
Winsorized Mean ( 8 / 38 )8070.37280701754185.84287397086943.4257856358946
Winsorized Mean ( 9 / 38 )8065.25701754386184.84752142242043.6319457003314
Winsorized Mean ( 10 / 38 )8053.9850877193183.10392978998943.9858669169843
Winsorized Mean ( 11 / 38 )8054.49649122807182.05926170464944.2410697253882
Winsorized Mean ( 12 / 38 )8045.90701754386180.17065978135244.6571435510535
Winsorized Mean ( 13 / 38 )8042.73684210526178.39198883869345.0846301701234
Winsorized Mean ( 14 / 38 )8046.01578947368175.32230430248245.8927106935119
Winsorized Mean ( 15 / 38 )8051.85789473684172.20232366213546.7581256948355
Winsorized Mean ( 16 / 38 )8053.9350877193168.47215989628347.8057329631054
Winsorized Mean ( 17 / 38 )8055.05350877193164.86313848072848.8590329105833
Winsorized Mean ( 18 / 38 )8051.86403508772162.18487128881249.6462091137299
Winsorized Mean ( 19 / 38 )8048.49736842105159.73643242609950.3861094565553
Winsorized Mean ( 20 / 38 )8025.42719298246154.43057071405451.9678659210713
Winsorized Mean ( 21 / 38 )8018.83245614035151.3384696255352.9860813049191
Winsorized Mean ( 22 / 38 )8031.1254385965148.51350543331054.0767347398104
Winsorized Mean ( 23 / 38 )8039.55877192983147.30538445914354.5774942406109
Winsorized Mean ( 24 / 38 )8039.49561403509144.38085816229355.6825587294835
Winsorized Mean ( 25 / 38 )8032.98245614035142.32907901693156.4395028171634
Winsorized Mean ( 26 / 38 )8031.24912280702138.96638549498357.7927467437582
Winsorized Mean ( 27 / 38 )8037.78596491228138.02164052209358.2356935804257
Winsorized Mean ( 28 / 38 )8043.53333333333136.36835623413858.9838695387878
Winsorized Mean ( 29 / 38 )8058.26228070175134.07564995389060.1023547786127
Winsorized Mean ( 30 / 38 )8072.44649122807132.29837240285261.0169750739431
Winsorized Mean ( 31 / 38 )8096.97456140351128.32427592495963.097761534524
Winsorized Mean ( 32 / 38 )8102.86929824562127.01296106222463.795609758881
Winsorized Mean ( 33 / 38 )8086.4850877193119.63980127755267.5902584371525
Winsorized Mean ( 34 / 38 )8089.8850877193117.69524329297968.73587123297
Winsorized Mean ( 35 / 38 )8065.41578947368108.85712858033674.0917558147924
Winsorized Mean ( 36 / 38 )8052.75263157895102.67771504828578.4274623543389
Winsorized Mean ( 37 / 38 )8042.4640350877298.363817397912681.762422889236
Winsorized Mean ( 38 / 38 )8032.8640350877293.784088358309485.6527389208875
Trimmed Mean ( 1 / 38 )8074.70446428571187.8227171600542.9910959993460
Trimmed Mean ( 2 / 38 )8069.13636363636186.50380978798643.2652629070108
Trimmed Mean ( 3 / 38 )8062.98333333333185.12508470683343.5542452072447
Trimmed Mean ( 4 / 38 )8056.56886792453183.57920989625543.886063527986
Trimmed Mean ( 5 / 38 )8051.10673076923182.06460290974244.2211533823549
Trimmed Mean ( 6 / 38 )8046.61960784314180.60251972258944.5543042267794
Trimmed Mean ( 7 / 38 )8041.939178.93932990728144.9422662092622
Trimmed Mean ( 8 / 38 )8037.33163265306177.15217657796245.3696465259964
Trimmed Mean ( 9 / 38 )8032.42708333333175.21431617637945.84344052827
Trimmed Mean ( 10 / 38 )8028.00319148936173.17593670830246.3574982996151
Trimmed Mean ( 11 / 38 )8024.78369565217171.13443857423446.8916938198339
Trimmed Mean ( 12 / 38 )8021.36222222222168.95585677041047.4760826617705
Trimmed Mean ( 13 / 38 )8018.7125166.74040831931048.0909971423606
Trimmed Mean ( 14 / 38 )8016.26279069767164.44905855377948.746176239593
Trimmed Mean ( 15 / 38 )8013.37857142857162.24071223481049.391909472333
Trimmed Mean ( 16 / 38 )8009.81219512195160.11182932677150.0263611302247
Trimmed Mean ( 17 / 38 )8005.8825158.13798177836250.6259306585854
Trimmed Mean ( 18 / 38 )8001.65512820513156.30365252833351.1930143587316
Trimmed Mean ( 19 / 38 )7997.47105263158154.48907636186851.7672267901885
Trimmed Mean ( 20 / 38 )7993.33378378378152.65434772337452.3623067602934
Trimmed Mean ( 21 / 38 )7990.79305555556151.16370603555552.8618493494467
Trimmed Mean ( 22 / 38 )7988.61857142857149.75472090005953.3446860534027
Trimmed Mean ( 23 / 38 )7985.3794117647148.38795197489353.8142032792248
Trimmed Mean ( 24 / 38 )7981.3106060606146.84821334574754.3507505077298
Trimmed Mean ( 25 / 38 )7976.9921875145.33044879428954.8886503391399
Trimmed Mean ( 26 / 38 )7972.87419354839143.71400128994555.4773656149412
Trimmed Mean ( 27 / 38 )7968.60833333333142.15100197757956.0573490336014
Trimmed Mean ( 28 / 38 )7963.5724137931140.29522464875456.7629613461959
Trimmed Mean ( 29 / 38 )7957.75892857143138.18345884096257.5883611201986
Trimmed Mean ( 30 / 38 )7950.4425925926135.84091009470958.5276010522124
Trimmed Mean ( 31 / 38 )7941.52692307692133.11975811602959.6570113668247
Trimmed Mean ( 32 / 38 )7930.094130.26418585947860.8770088852707
Trimmed Mean ( 33 / 38 )7917.27083333333126.78535978299962.4462544167896
Trimmed Mean ( 34 / 38 )7904.56304347826123.68957963282963.9064589510522
Trimmed Mean ( 35 / 38 )7890.44090909091119.96373598977165.7735510151476
Trimmed Mean ( 36 / 38 )7876.87142857143116.91296976988867.3738033006512
Trimmed Mean ( 37 / 38 )7862.9475114.11019078445868.906619522285
Trimmed Mean ( 38 / 38 )7848.39210526316111.20063233326070.5786643527538
Median7765.4
Midrange8404
Midmean - Weighted Average at Xnp7929.81578947368
Midmean - Weighted Average at X(n+1)p7963.5724137931
Midmean - Empirical Distribution Function7963.5724137931
Midmean - Empirical Distribution Function - Averaging7963.5724137931
Midmean - Empirical Distribution Function - Interpolation7957.75892857143
Midmean - Closest Observation7963.5724137931
Midmean - True Basic - Statistics Graphics Toolkit7963.5724137931
Midmean - MS Excel (old versions)7963.5724137931
Number of observations114
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Mar/17/t1268782704zx5ssy0bopxuybv/1ad7f1268782567.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Mar/17/t1268782704zx5ssy0bopxuybv/1ad7f1268782567.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Mar/17/t1268782704zx5ssy0bopxuybv/2yzej1268782567.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Mar/17/t1268782704zx5ssy0bopxuybv/2yzej1268782567.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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