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W6

*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: Tue, 16 Nov 2010 14:16:44 +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/Nov/16/t1289916891m11pkt57cgeaemd.htm/, Retrieved Tue, 16 Nov 2010 15:14:51 +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/Nov/16/t1289916891m11pkt57cgeaemd.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 «
68 70 90 95 75 69 39 80 100 80 81 55 100 75 70 100 61 83 90 60 44 90 100 82 80 88 100 83 75 55 75 80 70 100 60 95 95 90 90 80 76 65 78 70 60 65 100 65 90 90 90 80 91 100 90 80 100 88 61 90 58 90 88 90 80 85 60 95 100 61 80 90 75 85 95 78 90 80 100 30 70 67 35 100 96 74 70 80 100 100 74 59 35 80 91 75 82 100 90 50 90 60 100 80 65 100 72 98 93 45 88 82 90 100 75 100 100 80 71 71 60 100 80 85 100 61 73 80 60 100 83 70 91 45 70 95 80 78 100 100 100 82 90 87 75 100
 
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'Sir Ronald Aylmer Fisher' @ 193.190.124.24


Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean80.4452054794521.3302565563128860.4734516042718
Geometric Mean78.534300089989
Harmonic Mean76.1760297217087
Quadratic Mean82.0245118726421
Winsorized Mean ( 1 / 48 )80.47945205479451.3217135489713560.890237614216
Winsorized Mean ( 2 / 48 )80.47945205479451.3217135489713560.890237614216
Winsorized Mean ( 3 / 48 )80.56164383561641.3029153242832961.8318338376534
Winsorized Mean ( 4 / 48 )80.69863013698631.2742265379460763.3314624470661
Winsorized Mean ( 5 / 48 )80.73287671232881.2674960194303063.6947773205756
Winsorized Mean ( 6 / 48 )80.73287671232881.2674960194303063.6947773205756
Winsorized Mean ( 7 / 48 )80.9726027397261.223218348286366.1963604888421
Winsorized Mean ( 8 / 48 )81.24657534246571.1781975314566068.958364937347
Winsorized Mean ( 9 / 48 )81.24657534246571.1781975314566068.958364937347
Winsorized Mean ( 10 / 48 )81.45205479452051.1479205158879670.9561800378784
Winsorized Mean ( 11 / 48 )81.5273972602741.1374666763552171.6745368941382
Winsorized Mean ( 12 / 48 )81.60958904109591.1264154812240372.450699055036
Winsorized Mean ( 13 / 48 )81.60958904109591.1264154812240372.450699055036
Winsorized Mean ( 14 / 48 )81.60958904109591.1264154812240372.450699055036
Winsorized Mean ( 15 / 48 )81.60958904109591.1264154812240372.450699055036
Winsorized Mean ( 16 / 48 )81.60958904109591.1264154812240372.450699055036
Winsorized Mean ( 17 / 48 )81.60958904109591.1264154812240372.450699055036
Winsorized Mean ( 18 / 48 )81.60958904109591.1264154812240372.450699055036
Winsorized Mean ( 19 / 48 )81.73972602739731.1094158265051973.6781683427831
Winsorized Mean ( 20 / 48 )81.73972602739731.1094158265051973.6781683427831
Winsorized Mean ( 21 / 48 )81.73972602739731.1094158265051973.6781683427831
Winsorized Mean ( 22 / 48 )81.73972602739731.1094158265051973.6781683427831
Winsorized Mean ( 23 / 48 )82.36986301369861.0320793956594479.8096186786767
Winsorized Mean ( 24 / 48 )82.36986301369861.0320793956594479.8096186786767
Winsorized Mean ( 25 / 48 )82.36986301369861.0320793956594479.8096186786767
Winsorized Mean ( 26 / 48 )82.36986301369861.0320793956594479.8096186786767
Winsorized Mean ( 27 / 48 )82.36986301369860.94701448680933586.9784614290514
Winsorized Mean ( 28 / 48 )82.17808219178080.8830897005013193.0574574079284
Winsorized Mean ( 29 / 48 )82.17808219178080.84016356526081797.8120042211897
Winsorized Mean ( 30 / 48 )82.38356164383560.818322319972051100.673731649711
Winsorized Mean ( 31 / 48 )82.38356164383560.818322319972051100.673731649711
Winsorized Mean ( 32 / 48 )82.38356164383560.818322319972051100.673731649711
Winsorized Mean ( 33 / 48 )82.38356164383560.818322319972051100.673731649711
Winsorized Mean ( 34 / 48 )82.38356164383560.818322319972051100.673731649711
Winsorized Mean ( 35 / 48 )81.90410958904110.768924600834731106.517738540459
Winsorized Mean ( 36 / 48 )81.41095890410960.721730405852391112.799680107644
Winsorized Mean ( 37 / 48 )81.41095890410960.721730405852391112.799680107644
Winsorized Mean ( 38 / 48 )81.67123287671230.693727180488566117.728172073630
Winsorized Mean ( 39 / 48 )81.40410958904110.669504344126517121.588620452115
Winsorized Mean ( 40 / 48 )81.67808219178080.64053996260542127.514420582835
Winsorized Mean ( 41 / 48 )81.9589041095890.611716550882357133.981831930768
Winsorized Mean ( 42 / 48 )82.24657534246570.583148786918094141.038748922267
Winsorized Mean ( 43 / 48 )82.24657534246570.583148786918094141.038748922267
Winsorized Mean ( 44 / 48 )82.54794520547950.554287807229553148.926142932985
Winsorized Mean ( 45 / 48 )82.54794520547950.554287807229553148.926142932985
Winsorized Mean ( 46 / 48 )82.54794520547950.554287807229553148.926142932985
Winsorized Mean ( 47 / 48 )82.54794520547950.554287807229553148.926142932985
Winsorized Mean ( 48 / 48 )82.54794520547950.554287807229553148.926142932985
Trimmed Mean ( 1 / 48 )80.65972222222221.2949067638420762.2899844795773
Trimmed Mean ( 2 / 48 )80.84507042253521.265491194242763.884340555143
Trimmed Mean ( 3 / 48 )81.03571428571431.2331249716524365.715735346048
Trimmed Mean ( 4 / 48 )81.20289855072461.2051829000284167.3780706221526
Trimmed Mean ( 5 / 48 )81.33823529411771.1835943092607968.7213808462102
Trimmed Mean ( 6 / 48 )81.47014925373131.1616458039822270.133382287824
Trimmed Mean ( 7 / 48 )81.60606060606061.1374819079357171.7427328177542
Trimmed Mean ( 8 / 48 )81.70769230769231.1199628451247372.955716935942
Trimmed Mean ( 9 / 48 )81.77343751.1088192696312073.7482110382141
Trimmed Mean ( 10 / 48 )81.84126984126981.0965117967597874.6378379905378
Trimmed Mean ( 11 / 48 )81.88709677419361.0875164659228075.2973397094356
Trimmed Mean ( 12 / 48 )81.92622950819671.0789940490145575.9283423138618
Trimmed Mean ( 13 / 48 )81.95833333333331.0709688167025276.5272826389849
Trimmed Mean ( 14 / 48 )81.99152542372881.0619992245727777.2048825710893
Trimmed Mean ( 15 / 48 )82.02586206896551.0519818668163677.9726957815373
Trimmed Mean ( 16 / 48 )82.0614035087721.0407983249378878.8446729232292
Trimmed Mean ( 17 / 48 )82.09821428571431.0283121941795279.8378301360318
Trimmed Mean ( 18 / 48 )82.13636363636361.0143653153320480.9731586785154
Trimmed Mean ( 19 / 48 )82.1759259259260.99877293213870782.2768852475405
Trimmed Mean ( 20 / 48 )82.20754716981130.98330328561752183.6034500974787
Trimmed Mean ( 21 / 48 )82.24038461538460.9659528058138785.1391332168577
Trimmed Mean ( 22 / 48 )82.27450980392160.94645594257816686.9290435007509
Trimmed Mean ( 23 / 48 )82.310.9244922166172489.0326587076915
Trimmed Mean ( 24 / 48 )82.30612244897960.90866369832620790.5793007914705
Trimmed Mean ( 25 / 48 )82.30208333333330.89075660128562592.3957040728602
Trimmed Mean ( 26 / 48 )82.29787234042550.87044954124366294.5464021071707
Trimmed Mean ( 27 / 48 )82.29347826086960.84734740305919297.1189360630175
Trimmed Mean ( 28 / 48 )82.28888888888890.8309320375622299.0320329088613
Trimmed Mean ( 29 / 48 )82.29545454545450.819236954612518100.453787005224
Trimmed Mean ( 30 / 48 )82.30232558139540.810341801427899101.564951279042
Trimmed Mean ( 31 / 48 )82.2976190476190.802280842456981102.579564028455
Trimmed Mean ( 32 / 48 )82.29268292682930.792825364174422103.796733360721
Trimmed Mean ( 33 / 48 )82.28750.781752686377366105.260271482174
Trimmed Mean ( 34 / 48 )82.28205128205130.768792193765834107.027688300271
Trimmed Mean ( 35 / 48 )82.27631578947370.753610882936868109.176124777867
Trimmed Mean ( 36 / 48 )82.29729729729730.741664709906984110.962940797896
Trimmed Mean ( 37 / 48 )82.34722222222220.732692774609437112.389837972836
Trimmed Mean ( 38 / 48 )82.40.721856360057086114.150133682390
Trimmed Mean ( 39 / 48 )82.44117647058820.712481952374103115.709845275212
Trimmed Mean ( 40 / 48 )82.50.703719720642704117.234173748397
Trimmed Mean ( 41 / 48 )82.5468750.696835850206443118.459569747373
Trimmed Mean ( 42 / 48 )82.58064516129030.69200632866248119.335101054500
Trimmed Mean ( 43 / 48 )82.60.689386856045382119.816615700840
Trimmed Mean ( 44 / 48 )82.62068965517240.685529097045402120.521054483703
Trimmed Mean ( 45 / 48 )82.6250.684030501712261120.791397157252
Trimmed Mean ( 46 / 48 )82.62962962962960.681335626842981121.275956186968
Trimmed Mean ( 47 / 48 )82.63461538461540.67715849293235122.031424322505
Trimmed Mean ( 48 / 48 )82.640.671130632984825123.135490973586
Median80.5
Midrange65
Midmean - Weighted Average at Xnp81.375
Midmean - Weighted Average at X(n+1)p81.375
Midmean - Empirical Distribution Function81.375
Midmean - Empirical Distribution Function - Averaging81.375
Midmean - Empirical Distribution Function - Interpolation81.375
Midmean - Closest Observation81.375
Midmean - True Basic - Statistics Graphics Toolkit81.375
Midmean - MS Excel (old versions)81.375
Number of observations146
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Nov/16/t1289916891m11pkt57cgeaemd/1cibn1289917000.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Nov/16/t1289916891m11pkt57cgeaemd/1cibn1289917000.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Nov/16/t1289916891m11pkt57cgeaemd/2cibn1289917000.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Nov/16/t1289916891m11pkt57cgeaemd/2cibn1289917000.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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