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*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, 12 Nov 2010 15:30:06 +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/12/t1289575751r6f9mc0qbqc3k3m.htm/, Retrieved Fri, 12 Nov 2010 16:29:13 +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/12/t1289575751r6f9mc0qbqc3k3m.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 «
90 80 100 96 100 91 81 80 100 94 100 80 100 90 100 100 100 90 97 90 86 100 100 82 90 94 100 95 100 88 80 81 100 100 100 100 95 100 90 90 100 85 98 91 90 70 100 83 100 100 100 100 100 100 86 100 100 100 100 100 76 100 100 100 100 80 100 100 100 89 100 90 90 95 95 99 90 90 100 100 90 100 81 100 100 98 96 90 90 100 100 88 73 85 100 100 99 90 100 100 100 91 96 80 100 85 90 100 94 95 96 80 100 82 90 100 90 100 100 94 90 79 95 100 91 100 100 76 87 95 71 100 100 100 92 93 80 100 80 90 100 100 100 99 85 100 100 85 100 100
 
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'Gwilym Jenkins' @ 72.249.127.135


Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean93.720.627563735098467149.339413287313
Geometric Mean93.3858916840362
Harmonic Mean93.0295248327893
Quadratic Mean94.0325475566838
Winsorized Mean ( 1 / 50 )93.72666666666670.625905816378857149.745639382163
Winsorized Mean ( 2 / 50 )93.75333333333330.619658321573993151.298433457959
Winsorized Mean ( 3 / 50 )93.81333333333330.60699772170381154.553023807082
Winsorized Mean ( 4 / 50 )93.81333333333330.60699772170381154.553023807082
Winsorized Mean ( 5 / 50 )93.91333333333330.58862724056661159.546359497282
Winsorized Mean ( 6 / 50 )93.95333333333330.582007377634664161.429797875018
Winsorized Mean ( 7 / 50 )93.95333333333330.582007377634664161.429797875018
Winsorized Mean ( 8 / 50 )93.95333333333330.582007377634664161.429797875018
Winsorized Mean ( 9 / 50 )93.95333333333330.582007377634664161.429797875018
Winsorized Mean ( 10 / 50 )93.95333333333330.582007377634664161.429797875018
Winsorized Mean ( 11 / 50 )93.95333333333330.582007377634664161.429797875018
Winsorized Mean ( 12 / 50 )93.95333333333330.582007377634664161.429797875018
Winsorized Mean ( 13 / 50 )93.95333333333330.582007377634664161.429797875018
Winsorized Mean ( 14 / 50 )93.95333333333330.582007377634664161.429797875018
Winsorized Mean ( 15 / 50 )94.05333333333330.566221959993711166.106827319763
Winsorized Mean ( 16 / 50 )94.05333333333330.566221959993711166.106827319763
Winsorized Mean ( 17 / 50 )94.05333333333330.566221959993711166.106827319763
Winsorized Mean ( 18 / 50 )94.17333333333330.547987709219495171.853002811806
Winsorized Mean ( 19 / 50 )94.17333333333330.547987709219495171.853002811806
Winsorized Mean ( 20 / 50 )94.30666666666670.528468867364298178.452644026156
Winsorized Mean ( 21 / 50 )94.58666666666670.489914996659905193.067506223591
Winsorized Mean ( 22 / 50 )94.58666666666670.489914996659905193.067506223591
Winsorized Mean ( 23 / 50 )94.58666666666670.489914996659905193.067506223591
Winsorized Mean ( 24 / 50 )94.58666666666670.489914996659905193.067506223591
Winsorized Mean ( 25 / 50 )94.58666666666670.489914996659905193.067506223591
Winsorized Mean ( 26 / 50 )94.760.467625732293846202.640687746531
Winsorized Mean ( 27 / 50 )94.760.467625732293846202.640687746531
Winsorized Mean ( 28 / 50 )94.94666666666670.444683902680887213.514962188326
Winsorized Mean ( 29 / 50 )95.140.422099789933841225.396937569934
Winsorized Mean ( 30 / 50 )95.140.422099789933841225.396937569934
Winsorized Mean ( 31 / 50 )95.34666666666670.399326801140211238.768513394092
Winsorized Mean ( 32 / 50 )95.560.377378215684713253.220763754517
Winsorized Mean ( 33 / 50 )95.560.377378215684713253.220763754517
Winsorized Mean ( 34 / 50 )95.560.377378215684713253.220763754517
Winsorized Mean ( 35 / 50 )95.560.377378215684713253.220763754517
Winsorized Mean ( 36 / 50 )95.560.377378215684713253.220763754517
Winsorized Mean ( 37 / 50 )95.560.377378215684713253.220763754517
Winsorized Mean ( 38 / 50 )95.560.377378215684713253.220763754517
Winsorized Mean ( 39 / 50 )95.560.377378215684713253.220763754517
Winsorized Mean ( 40 / 50 )95.560.377378215684713253.220763754517
Winsorized Mean ( 41 / 50 )95.560.377378215684713253.220763754517
Winsorized Mean ( 42 / 50 )95.560.377378215684713253.220763754517
Winsorized Mean ( 43 / 50 )95.560.377378215684713253.220763754517
Winsorized Mean ( 44 / 50 )95.560.377378215684713253.220763754517
Winsorized Mean ( 45 / 50 )95.560.377378215684713253.220763754517
Winsorized Mean ( 46 / 50 )95.560.377378215684713253.220763754517
Winsorized Mean ( 47 / 50 )95.560.377378215684713253.220763754517
Winsorized Mean ( 48 / 50 )95.560.377378215684713253.220763754517
Winsorized Mean ( 49 / 50 )95.560.377378215684713253.220763754517
Winsorized Mean ( 50 / 50 )95.560.377378215684713253.220763754517
Trimmed Mean ( 1 / 50 )93.83783783783780.613857117103193152.865927955126
Trimmed Mean ( 2 / 50 )93.95205479452050.600608429645356156.428132135936
Trimmed Mean ( 3 / 50 )94.05555555555560.589649272324601159.511017769523
Trimmed Mean ( 4 / 50 )94.14084507042250.582654031683363161.572459729554
Trimmed Mean ( 5 / 50 )94.22857142857140.574942944319969163.892038957054
Trimmed Mean ( 6 / 50 )94.29710144927540.571124470612111165.107794012417
Trimmed Mean ( 7 / 50 )94.3602941176470.568286112898277166.043638892400
Trimmed Mean ( 8 / 50 )94.42537313432840.565075757965348167.102148346132
Trimmed Mean ( 9 / 50 )94.49242424242420.561455287034117168.299108450078
Trimmed Mean ( 10 / 50 )94.56153846153850.557381629582717169.653130714645
Trimmed Mean ( 11 / 50 )94.63281250.552805912316143171.186324877583
Trimmed Mean ( 12 / 50 )94.70634920634920.54767241515894172.925176775362
Trimmed Mean ( 13 / 50 )94.78225806451610.541917277521911174.901709164798
Trimmed Mean ( 14 / 50 )94.8606557377050.535466876927488177.155039508729
Trimmed Mean ( 15 / 50 )94.94166666666670.528235771108525179.733505111605
Trimmed Mean ( 16 / 50 )95.01694915254240.522142347318262181.975182898978
Trimmed Mean ( 17 / 50 )95.09482758620690.515280516065047184.549628059685
Trimmed Mean ( 18 / 50 )95.17543859649120.507549833431564187.51939677136
Trimmed Mean ( 19 / 50 )95.250.50104459736204190.102838153497
Trimmed Mean ( 20 / 50 )95.32727272727270.493681357646057193.094738642364
Trimmed Mean ( 21 / 50 )95.39814814814820.487635242721155195.634235983021
Trimmed Mean ( 22 / 50 )95.45283018867920.485019441903687196.802070065542
Trimmed Mean ( 23 / 50 )95.50961538461540.48193566491901198.179181033771
Trimmed Mean ( 24 / 50 )95.56862745098040.478322516108067199.799558315981
Trimmed Mean ( 25 / 50 )95.630.474108413634253201.704920752098
Trimmed Mean ( 26 / 50 )95.69387755102040.469209344152342203.947084054555
Trimmed Mean ( 27 / 50 )95.750.465945558148047205.496110705657
Trimmed Mean ( 28 / 50 )95.80851063829790.462077459940739207.342965074698
Trimmed Mean ( 29 / 50 )95.8586956521740.459954276415091208.409184493950
Trimmed Mean ( 30 / 50 )95.90.459617710114272208.651663958199
Trimmed Mean ( 31 / 50 )95.94318181818180.458963313946735209.043247908299
Trimmed Mean ( 32 / 50 )95.97674418604650.460172079925061208.567073868706
Trimmed Mean ( 33 / 50 )960.463219792343072207.245030516528
Trimmed Mean ( 34 / 50 )96.02439024390240.466258567770396205.946650381315
Trimmed Mean ( 35 / 50 )96.050.469277656603574204.676269258519
Trimmed Mean ( 36 / 50 )96.0769230769230.472264096538717203.438973618962
Trimmed Mean ( 37 / 50 )96.10526315789470.475202245907188202.240759562119
Trimmed Mean ( 38 / 50 )96.13513513513510.478073204659159201.088733269781
Trimmed Mean ( 39 / 50 )96.16666666666670.4808540914633199.991366141898
Trimmed Mean ( 40 / 50 )96.20.483517135038435198.958822818871
Trimmed Mean ( 41 / 50 )96.2352941176470.48602852350695198.003387585690
Trimmed Mean ( 42 / 50 )96.27272727272730.488346935479092197.140025417133
Trimmed Mean ( 43 / 50 )96.31250.490421648030695196.387130108849
Trimmed Mean ( 44 / 50 )96.35483870967740.492190075515049195.767536777022
Trimmed Mean ( 45 / 50 )96.40.493574532577441195.30991499217
Trimmed Mean ( 46 / 50 )96.4482758620690.494477923974067195.050721550771
Trimmed Mean ( 47 / 50 )96.50.494777924735123195.036995742405
Trimmed Mean ( 48 / 50 )96.55555555555560.49431899569863195.330457449024
Trimmed Mean ( 49 / 50 )96.61538461538460.492901225923845196.013682932718
Trimmed Mean ( 50 / 50 )96.680.49026440180118197.199714368018
Median97.5
Midrange85
Midmean - Weighted Average at Xnp97.0677966101695
Midmean - Weighted Average at X(n+1)p97.0677966101695
Midmean - Empirical Distribution Function97.0677966101695
Midmean - Empirical Distribution Function - Averaging97.0677966101695
Midmean - Empirical Distribution Function - Interpolation97.0677966101695
Midmean - Closest Observation97.0677966101695
Midmean - True Basic - Statistics Graphics Toolkit97.0677966101695
Midmean - MS Excel (old versions)97.0677966101695
Number of observations150
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Nov/12/t1289575751r6f9mc0qbqc3k3m/1lbga1289575804.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Nov/12/t1289575751r6f9mc0qbqc3k3m/1lbga1289575804.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Nov/12/t1289575751r6f9mc0qbqc3k3m/2lbga1289575804.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Nov/12/t1289575751r6f9mc0qbqc3k3m/2lbga1289575804.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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