Home » date » 2010 » May » 02 »

Katleen van den Akker - Opgave 5 - Oefening 2

*Unverified author*
R Software Module: /rwasp_centraltendency.wasp (opens new window with default values)
Title produced by software: Central Tendency
Date of computation: Sun, 02 May 2010 12:59:53 +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/May/02/t1272805706201a870bwiegtyn.htm/, Retrieved Sun, 02 May 2010 15:08:28 +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/May/02/t1272805706201a870bwiegtyn.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:
KDGP1W51
 
Dataseries X:
» Textbox « » Textfile « » CSV «
285708 905858 225733 405481 845758 805651 395747 695853 175625 405534 965639 575634 576023 566089 336141 26271 586226 376484 176583 287042 997142 207694 418003 838258 848182 658215 208304 398599 438399 578393 988390 958304 318251 78307 408520 748640 258520 518618 388588 238842 328957 499266 109011 168896 798921 878732 897576 518317 228370 758167 658491 518170 398212 498286 78136 647990 357927 698061 407932 637934 397784 217980 47737 467672 67651 167524 687406 367345 157553 887453 227566 817279 697059 997185 847075 547122 996977 346998 967154 547097 586853 46728 236883 36784 277085 446998 586725 496845 86765 146966 197113 657096 337200 17273 457284 507696 547628 157435 67793 267631 518397 918560 918895 429509 289569 9010172 1810617 7111400 1611919 9712714 2913310 1013816 6714518 2414721 9114534 8214993 6215159 515612 9415340 3715267
 
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 Mean1078350.175182658.4860909185.90364126013425
Geometric Mean493802.014710596
Harmonic Mean248181.579138468
Quadratic Mean2265649.94699195
Winsorized Mean ( 1 / 40 )1075947.04166667181684.6784004005.92205711092202
Winsorized Mean ( 2 / 40 )1071108.825179766.6564852075.95832867975794
Winsorized Mean ( 3 / 40 )1068748.375178777.2090380855.97810191103456
Winsorized Mean ( 4 / 40 )1042276.04166667169098.2220657526.1637315220345
Winsorized Mean ( 5 / 40 )997122.75153122.6229032876.51192313123966
Winsorized Mean ( 6 / 40 )977285.75146526.8032214156.66967222729371
Winsorized Mean ( 7 / 40 )948759.816666667136994.7726076196.92551838736293
Winsorized Mean ( 8 / 40 )782111.7585346.0204527039.16400959120795
Winsorized Mean ( 9 / 40 )722599.32568461.81728428210.5547786147637
Winsorized Mean ( 10 / 40 )682904.07557433.583971535611.8903266656396
Winsorized Mean ( 11 / 40 )631007.08333333343736.30332162914.4275358320300
Winsorized Mean ( 12 / 40 )612184.18333333339251.920645421715.5962860738316
Winsorized Mean ( 13 / 40 )547402.47527245.49864229120.0914830808165
Winsorized Mean ( 14 / 40 )546625.47526830.004996517620.3736628103852
Winsorized Mean ( 15 / 40 )546791.626808.907276879220.3958928408682
Winsorized Mean ( 16 / 40 )547666.826700.131754274220.51176395084
Winsorized Mean ( 17 / 40 )546586.02526513.038877153720.6157441073642
Winsorized Mean ( 18 / 40 )546480.12525714.556108884521.2517813912871
Winsorized Mean ( 19 / 40 )547915.57525491.96172007521.4936606690616
Winsorized Mean ( 20 / 40 )546794.74166666725312.871471528121.6014505616915
Winsorized Mean ( 21 / 40 )541591.46666666724199.275936438522.3804822958011
Winsorized Mean ( 22 / 40 )542951.43333333324032.52058858722.5923631827108
Winsorized Mean ( 23 / 40 )540868.20833333323675.91799527322.8446562638593
Winsorized Mean ( 24 / 40 )539372.60833333323444.383795396323.0064740895109
Winsorized Mean ( 25 / 40 )539037.19166666722977.769137647823.4590742224616
Winsorized Mean ( 26 / 40 )537572.09166666722691.081048931723.6908982215273
Winsorized Mean ( 27 / 40 )535125.89166666721346.892353201825.0680934167171
Winsorized Mean ( 28 / 40 )536993.49166666721085.152913132225.4678490537395
Winsorized Mean ( 29 / 40 )538959.93333333320802.268942477025.9087090366767
Winsorized Mean ( 30 / 40 )539240.68333333320343.354988850326.5069691616196
Winsorized Mean ( 31 / 40 )534165.72519644.094634729327.1921783585604
Winsorized Mean ( 32 / 40 )531738.79166666719199.094170322527.6960353936186
Winsorized Mean ( 33 / 40 )537775.59166666718157.139809429629.6178581709980
Winsorized Mean ( 34 / 40 )529261.99166666716475.097712323332.124968295076
Winsorized Mean ( 35 / 40 )528578.61666666715938.315753641333.1640196390203
Winsorized Mean ( 36 / 40 )513722.61666666714194.359091699636.1920262371744
Winsorized Mean ( 37 / 40 )516434.71666666713847.362432175937.2948075271484
Winsorized Mean ( 38 / 40 )519513.66666666713452.761245918338.6176233391706
Winsorized Mean ( 39 / 40 )519829.24166666712843.848621915840.4730121764023
Winsorized Mean ( 40 / 40 )513237.24166666711498.809094383444.6339475204747
Trimmed Mean ( 1 / 40 )1014169.77966102170272.9123812035.95614279146479
Trimmed Mean ( 2 / 40 )950262.26724138156863.4948149656.05789300029493
Trimmed Mean ( 3 / 40 )886658.815789474142148.2140078286.23756564215885
Trimmed Mean ( 4 / 40 )821626.830357143124637.3613929066.59213915614799
Trimmed Mean ( 5 / 40 )761449.772727273107074.7771353717.11138321366386
Trimmed Mean ( 6 / 40 )70907891318.3685088227.7649000040063
Trimmed Mean ( 7 / 40 )658472.76415094373188.2009660428.99697977897371
Trimmed Mean ( 8 / 40 )610623.2551277.844435120211.9081302407826
Trimmed Mean ( 9 / 40 )585404.35294117742007.563466447613.9356893053022
Trimmed Mean ( 10 / 40 )567111.6935502.206096641715.9739845027164
Trimmed Mean ( 11 / 40 )552933.03061224530485.944272394818.1373102854134
Trimmed Mean ( 12 / 40 )544060.97916666727863.768814029919.5257498293885
Trimmed Mean ( 13 / 40 )536813.82978723425726.541525194320.8661482641001
Trimmed Mean ( 14 / 40 )535751.42391304325430.977445542621.0668829013863
Trimmed Mean ( 15 / 40 )534715.825148.381828073721.2624336490344
Trimmed Mean ( 16 / 40 )53361824824.580770409721.495549307969
Trimmed Mean ( 17 / 40 )532392.81395348824464.428697819121.7619148409114
Trimmed Mean ( 18 / 40 )531200.10714285724073.306460369922.0659388031026
Trimmed Mean ( 19 / 40 )529957.82926829323725.080825472222.3374509518766
Trimmed Mean ( 20 / 40 )528540.112523346.633002819722.6388153030959
Trimmed Mean ( 21 / 40 )527135.9102564122928.353264157222.9905699804641
Trimmed Mean ( 22 / 40 )526049.02631578922588.105142619323.2887629570680
Trimmed Mean ( 23 / 40 )524803.14864864922206.574384300723.6327827771431
Trimmed Mean ( 24 / 40 )523639.01388888921803.685898471224.0160776635296
Trimmed Mean ( 25 / 40 )522515.18571428621357.391672716524.4653089535173
Trimmed Mean ( 26 / 40 )521348.92647058820890.457849887524.9563188234956
Trimmed Mean ( 27 / 40 )520214.43939393920373.389732094625.5340150183470
Trimmed Mean ( 28 / 40 )519178.92187519948.821311493826.0255437535985
Trimmed Mean ( 29 / 40 )517947.519469.906881206526.6024641597005
Trimmed Mean ( 30 / 40 )516498.36666666718926.484172343527.2897154042695
Trimmed Mean ( 31 / 40 )514929.93103448318332.923456654528.0877151018472
Trimmed Mean ( 32 / 40 )513600.26785714317725.236720975128.9756507031229
Trimmed Mean ( 33 / 40 )512340.64814814817051.300222450530.0470135100652
Trimmed Mean ( 34 / 40 )510561.98076923116387.026448732031.1564750546148
Trimmed Mean ( 35 / 40 )509241.9815879.368202295532.0694106662496
Trimmed Mean ( 36 / 40 )507860.79166666715333.340891628933.1213396516821
Trimmed Mean ( 37 / 40 )507436.0217391314989.556183240433.8526381659309
Trimmed Mean ( 38 / 40 )506772.72727272714601.562983556034.7067452877097
Trimmed Mean ( 39 / 40 )505814.76190476214163.475020816235.7126172186813
Trimmed Mean ( 40 / 40 )504736.72513710.476791723736.8139440128503
Median511654
Midrange4864993.5
Midmean - Weighted Average at Xnp512573.557377049
Midmean - Weighted Average at X(n+1)p516498.366666667
Midmean - Empirical Distribution Function512573.557377049
Midmean - Empirical Distribution Function - Averaging516498.366666667
Midmean - Empirical Distribution Function - Interpolation516498.366666667
Midmean - Closest Observation512573.557377049
Midmean - True Basic - Statistics Graphics Toolkit516498.366666667
Midmean - MS Excel (old versions)517947.5
Number of observations120
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/May/02/t1272805706201a870bwiegtyn/1e1ta1272805191.png (open in new window)
http://www.freestatistics.org/blog/date/2010/May/02/t1272805706201a870bwiegtyn/1e1ta1272805191.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/May/02/t1272805706201a870bwiegtyn/2e1ta1272805191.png (open in new window)
http://www.freestatistics.org/blog/date/2010/May/02/t1272805706201a870bwiegtyn/2e1ta1272805191.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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