Home » date » 2010 » Oct » 03 »

Meassure of central tendency oefening 4

*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, 03 Oct 2010 14:50:57 +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/Oct/03/t1286117625k5xhf2sr0kyezby.htm/, Retrieved Sun, 03 Oct 2010 16:53:46 +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/Oct/03/t1286117625k5xhf2sr0kyezby.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:
I estimate the time needed to fill in the survey at 291 seconds
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
33,999 37,028 39,047 57,47 59,609 62,156 64,016 70,939 72,844 85,094 86,58 103,898 109,215 131,812 136,452 136,813 137,55 140,321 150,034 156,187 158,047 169,861 171,26 171,328 180,818 183,186 183,613 184,641 187,881 190,157 190,379 191,835 192,797 193,299 197,549 198,296 199,297 199,746 200,156 203,077 204,386 206,771 206,893 207,533 208,108 211,655 213,361 213,511 213,923 216,046 216,548 216,886 217,465 218,761 220,553 221,588 223,166 226,731 229,641 232,444 232,669 235,577 236,302 236,71 238,502 239,89 240,755 241,171 242,205 242,344 246,542 249,148 250,407 251,422 252,64 257,102 257,567 259,7 260,642 261,596 262,517 262,875 263,906 265,777 266,793 274,482 275,562 278,741 287,069 289,714 293,671 295,281 308,16 308,174 308,532 313,906 315,955 324,04 330,563 348,821 350,089 356,725 366,936 380,155 380,531 383,703 386,688 388,3 392,25 401,422 401,915 403,064 403,556 406,167 421,403 426,113 435,9 etc...
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk


Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean291.51634074074116.244254536747317.9458121689291
Geometric Mean243.987544788437
Harmonic Mean195.595110261358
Quadratic Mean346.902197816319
Winsorized Mean ( 1 / 45 )289.50189629629615.398066221165118.801185300682
Winsorized Mean ( 2 / 45 )288.29253333333314.967856169534219.2607765646578
Winsorized Mean ( 3 / 45 )284.461213.667065392961220.8136269068049
Winsorized Mean ( 4 / 45 )282.8411703703713.244241654359321.3557844799121
Winsorized Mean ( 5 / 45 )282.75865185185213.191038329285521.435662970071
Winsorized Mean ( 6 / 45 )281.41967407407412.857449900893621.8876741689279
Winsorized Mean ( 7 / 45 )281.2994296296312.707175459520622.1370540231953
Winsorized Mean ( 8 / 45 )280.91714814814812.585604224190122.3205134329755
Winsorized Mean ( 9 / 45 )279.46688148148112.006961209118923.2754047101639
Winsorized Mean ( 10 / 45 )278.827411.84020347821123.5492067778323
Winsorized Mean ( 11 / 45 )276.581210.950621973777625.2571224412916
Winsorized Mean ( 12 / 45 )272.64271111111110.090595808382427.0194858944427
Winsorized Mean ( 13 / 45 )271.8510592592599.337670036398429.1133717725706
Winsorized Mean ( 14 / 45 )269.6110592592598.8551518832907930.4468023601042
Winsorized Mean ( 15 / 45 )268.7448370370378.714871275491830.8374993205933
Winsorized Mean ( 16 / 45 )268.6986148148158.6852917178150830.9372009075603
Winsorized Mean ( 17 / 45 )268.8265555555568.6136628439945931.2093194758581
Winsorized Mean ( 18 / 45 )269.7750888888898.421833473780232.0328215618111
Winsorized Mean ( 19 / 45 )269.2557555555568.1291528519506733.1222404670303
Winsorized Mean ( 20 / 45 )268.8335333333338.00071976461433.6011685501528
Winsorized Mean ( 21 / 45 )268.3012222222227.4836617186028435.8515967598162
Winsorized Mean ( 22 / 45 )268.1037111111117.4030440267431836.2153338738224
Winsorized Mean ( 23 / 45 )268.0314740740747.3904755351901636.267148547861
Winsorized Mean ( 24 / 45 )269.5143185185197.2025832313172337.4191189275891
Winsorized Mean ( 25 / 45 )269.8615407407417.150066806344337.74252018195
Winsorized Mean ( 26 / 45 )268.1773185185196.9027872522258538.8505843682265
Winsorized Mean ( 27 / 45 )267.5929185185196.7785206619035439.4765955383801
Winsorized Mean ( 28 / 45 )267.9305777777786.6733364139126340.149418695451
Winsorized Mean ( 29 / 45 )267.7782740740746.5448547204857240.914319035366
Winsorized Mean ( 30 / 45 )267.1227185185186.4476287990305941.4296056495499
Winsorized Mean ( 31 / 45 )267.3707185185196.4067327239123841.7327723881143
Winsorized Mean ( 32 / 45 )264.4653555555565.9801593357888544.2237975120223
Winsorized Mean ( 33 / 45 )262.0920444444445.6535141766898246.359138095927
Winsorized Mean ( 34 / 45 )261.4911259259265.3494527395060648.8818461736837
Winsorized Mean ( 35 / 45 )261.3560518518525.2916121087099549.3906292605352
Winsorized Mean ( 36 / 45 )256.7541851851854.6798835153347354.8633709244835
Winsorized Mean ( 37 / 45 )255.0894592592594.4601647093553157.192833870956
Winsorized Mean ( 38 / 45 )252.9290888888894.1902915071533760.3607382582109
Winsorized Mean ( 39 / 45 )253.1814.0452479965330962.5872629359151
Winsorized Mean ( 40 / 45 )251.9765555555563.8324458985559665.7482355199061
Winsorized Mean ( 41 / 45 )252.5921629629633.7538940165774167.2880379274166
Winsorized Mean ( 42 / 45 )252.6257629629633.7499567820352167.367646521477
Winsorized Mean ( 43 / 45 )248.7274148148153.2870467574847775.6689615833575
Winsorized Mean ( 44 / 45 )248.3900814814813.214203588916977.2788887231571
Winsorized Mean ( 45 / 45 )248.2534148148152.9663002918044683.6912619739511
Trimmed Mean ( 1 / 45 )285.82544360902314.466021285497619.7584005973755
Trimmed Mean ( 2 / 45 )282.03673282442713.393383266843721.057915479999
Trimmed Mean ( 3 / 45 )278.76334883720912.431730943415522.4235345911229
Trimmed Mean ( 4 / 45 )276.7444251968511.921432259204523.2140248906064
Trimmed Mean ( 5 / 45 )275.09830411.494407031103223.9332314625366
Trimmed Mean ( 6 / 45 )273.41676422764211.031019891213224.7861727133167
Trimmed Mean ( 7 / 45 )271.92861983471110.595819208122625.663765537473
Trimmed Mean ( 8 / 45 )270.40994117647110.140042329476226.6675357350742
Trimmed Mean ( 9 / 45 )268.8944786324799.6504351717991727.8634562945152
Trimmed Mean ( 10 / 45 )267.5154695652179.2128931798567529.0370749277891
Trimmed Mean ( 11 / 45 )266.1640442477888.7477588548270130.4265410906839
Trimmed Mean ( 12 / 45 )265.012270270278.3819335364711131.6170808462224
Trimmed Mean ( 13 / 45 )264.2247247706428.1143788601100732.5625324286446
Trimmed Mean ( 14 / 45 )263.4845700934587.9271906162029933.2380767475052
Trimmed Mean ( 15 / 45 )262.9219333333337.7856354840752333.7701314004637
Trimmed Mean ( 16 / 45 )262.413135922337.6455996796372734.3221129692707
Trimmed Mean ( 17 / 45 )261.8880495049517.491674116325634.9572132261136
Trimmed Mean ( 18 / 45 )261.3314848484857.3269488088514135.6671640086771
Trimmed Mean ( 19 / 45 )260.6786288659797.1640217412340736.3871912009406
Trimmed Mean ( 20 / 45 )260.0371263157897.0161833543986237.0624758762563
Trimmed Mean ( 21 / 45 )259.3986774193556.8640435438007337.7909428697653
Trimmed Mean ( 22 / 45 )258.7697692307696.7533089008572238.3174785915572
Trimmed Mean ( 23 / 45 )258.1262134831466.6357220015601738.899491784384
Trimmed Mean ( 24 / 45 )257.4579425287366.501754698639639.5982245504595
Trimmed Mean ( 25 / 45 )256.6600941176476.3674765078079140.3079766062625
Trimmed Mean ( 26 / 45 )255.8012048192776.217172209385241.1443010108566
Trimmed Mean ( 27 / 45 )255.0078641975316.0755720928550741.9726505257706
Trimmed Mean ( 28 / 45 )254.2113417721525.9264271477603242.8945358533973
Trimmed Mean ( 29 / 45 )253.3522987012995.7639023582205843.9549948898706
Trimmed Mean ( 30 / 45 )252.4568933333335.5891368177074945.1692097666137
Trimmed Mean ( 31 / 45 )251.5528356164385.3963368669344546.6154804304017
Trimmed Mean ( 32 / 45 )250.5826338028175.1708345775771848.4607716691313
Trimmed Mean ( 33 / 45 )249.7338260869574.9713271472355150.2348404541894
Trimmed Mean ( 34 / 45 )248.9792537313434.7859751453091252.0226800541109
Trimmed Mean ( 35 / 45 )248.2149538461544.6093069534967353.850818865047
Trimmed Mean ( 36 / 45 )247.4103968253974.4031332502116256.1896228812757
Trimmed Mean ( 37 / 45 )246.8359836065574.261869172812657.9173066083723
Trimmed Mean ( 38 / 45 )246.3255762711864.1270450698170559.6857005688348
Trimmed Mean ( 39 / 45 )246.3255762711864.0087496922654261.4469835186899
Trimmed Mean ( 40 / 45 )245.4566363636363.8849728145692163.1810434922835
Trimmed Mean ( 41 / 45 )245.0414528301893.7690886312197465.0134493523145
Trimmed Mean ( 42 / 45 )244.5539607843143.6347640688286367.2819352655056
Trimmed Mean ( 43 / 45 )244.0244693877553.4633366516759370.4593557977304
Trimmed Mean ( 44 / 45 )243.7103191489363.3489638641071772.7718569199638
Trimmed Mean ( 45 / 45 )243.3912444444443.2161101990258975.6787639049694
Median241.171
Midrange669.961
Midmean - Weighted Average at Xnp248.160426470588
Midmean - Weighted Average at X(n+1)p249.733826086957
Midmean - Empirical Distribution Function249.733826086957
Midmean - Empirical Distribution Function - Averaging249.733826086957
Midmean - Empirical Distribution Function - Interpolation248.979253731343
Midmean - Closest Observation248.160426470588
Midmean - True Basic - Statistics Graphics Toolkit249.733826086957
Midmean - MS Excel (old versions)249.733826086957
Number of observations135
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Oct/03/t1286117625k5xhf2sr0kyezby/1h02j1286117453.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Oct/03/t1286117625k5xhf2sr0kyezby/1h02j1286117453.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Oct/03/t1286117625k5xhf2sr0kyezby/2h02j1286117453.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Oct/03/t1286117625k5xhf2sr0kyezby/2h02j1286117453.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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