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central tendency G29

R Software Module: rwasp_centraltendency.wasp (opens new window with default values)
Title produced by software: Central Tendency
Date of computation: Wed, 12 Dec 2007 10:11:20 -0700
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2007/Dec/12/t1197478568eaa3jqmgs8vsj1i.htm/, Retrieved Wed, 12 Dec 2007 17:56:08 +0100
 
User-defined keywords:
 
Dataseries X:
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0.00496077230080236 0.00140182063369704 0.0340896719939319 0.0462221133617540 -0.067045099904415 0.0361104487964593 -0.0145265487153619 -0.0634652515818392 -0.0284979249366296 -0.0246214198704274 0.087223276322594 0.0118209487798106 -0.0523388308229491 -0.0383620159458074 -0.0054996861015134 -0.0604653643321296 -0.0429808814729218 0.00765315662144655 0.0085874193852623 0.0214634401668955 -0.11691963416421 0.0142203467728968 0.0547728663215493 -0.01804827056057 -0.00741525127735983 -0.0444343839563428 -0.0622268499792439 -0.00376787346350914 -0.00817476553619946 -0.0333757521970656 0.00913032897246617 -0.0936545975383774 0.131223826735596 -0.0227383962475138 0.0133927933202855 -0.0754022549850536 0.0121556630021407 0.0311718098013948 0.0078029045787764 -0.0212887702676737 -0.0155958679163231 0.000318953680542113 -0.0284381589459343 -0.0463974284696649 -0.00280169880875457 0.045749430850578 -0.0326177101762874 0.00986021866499806 0.0534414738882408 -0.0865531701519222 -0.0566289994452963 -0.0144231022156591 -0.0367915784267412 0.0243374469108268 0.05907031513238 0.0667670907844571 -0.00183134647630921 -0.0776099017068822 -0.0264232635278065 0.000349239290598731 -0.0274310557458304 0.0358512863508387 -0.00564360130093699 0.0386727664639391 -0.0296157837326809 0.0248389860712534 0.0410287531785149 0.0849252583820899 -0.0350354283898888 -0.00472665549158409 -0.0358827658616018 0.0340104500802269 -0.00765823501590506 0.0104712314998251 0.00932227897983504 -0.0211314251623256 0.0180150039787792 0.0386373848699009 0.000154652210748109 -0.0317840069847254 -0.000619141891328213 0.066914249314796 0.143523681235100 -0.0417985974452282 0.00141321070477834 0.084573724218568 0.039142606460529 0.111518167506788 -0.039951206969439 -0.0423694596004807 -0.0314936701890432 -0.052672538064489 -0.172189936398436 0.0123927617137699 -0.0362729308626902 0.0153766274759647 0.00679931678971598 -0.00970832299315002 0.0281891347813318 0.115141730766700 -0.0803973048324115 0.0414857426826949 0.0632326898389978 -0.0291628052089837 -0.0476665488796604 -0.0362249459653065 0.0441155505146838 -0.0221529268784654 0.042869698277459 -0.0132886675187302 0.0114979287753136 -0.0321424274535849 -0.0153917693451445 0.0120372324732676 -0.0104817571966024 0.00195778144972970 -0.0256082335253315 -0.0129821257559329 0.065936548542384 0.0496385070746634 -0.0369884983171655 0.057002538517647 0.0483371894963808 -0.0457207679818347 -0.0316124928588473 0.0649389166343859 0.072658620209937 0.0290304641076988 0.0513453018782221 0.0881177583496085
 
Text written by user:
 
Output produced by software:


Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001


Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean0.0007788109614229850.004306395381643260.180849850606565
Geometric MeanNaN
Harmonic Mean0.0113726372735930
Quadratic Mean0.0489174494339759
Winsorized Mean ( 1 / 43 )0.001109352867074690.004169634084740070.266055208809491
Winsorized Mean ( 2 / 43 )0.001219859646412180.004040677433237400.301894834855656
Winsorized Mean ( 3 / 43 )0.001300118049332410.003993701018243240.325542158362247
Winsorized Mean ( 4 / 43 )0.0007695167004810590.003820832373762940.201400277532511
Winsorized Mean ( 5 / 43 )0.0008423213581162430.003797337707333080.221818922370172
Winsorized Mean ( 6 / 43 )0.000838150378792760.003762636291212170.222756151252329
Winsorized Mean ( 7 / 43 )0.001269222274329810.003691694503200840.343804795664795
Winsorized Mean ( 8 / 43 )0.0007562834628802620.003538371736561690.213737707393955
Winsorized Mean ( 9 / 43 )0.0004443317426270980.003465423371927680.128218602733072
Winsorized Mean ( 10 / 43 )0.000568510751609820.003444935434315460.165027984544154
Winsorized Mean ( 11 / 43 )0.0008228495907818370.003390853349219640.242667407297696
Winsorized Mean ( 12 / 43 )0.001095972311348840.003330308153516670.329090360659731
Winsorized Mean ( 13 / 43 )0.000958720355964020.003300976577940960.290435370662956
Winsorized Mean ( 14 / 43 )0.001013633442990120.003174987835388600.319255850901883
Winsorized Mean ( 15 / 43 )0.0009214808039819440.003124175259334140.294951700045900
Winsorized Mean ( 16 / 43 )0.0007303409014259440.003076632650753340.237383199208757
Winsorized Mean ( 17 / 43 )0.000724455186557620.00303349935996420.238818308689595
Winsorized Mean ( 18 / 43 )0.0006354701751825550.002971685977430860.213841630646299
Winsorized Mean ( 19 / 43 )0.0004753772083269040.00292880412717940.162311027874957
Winsorized Mean ( 20 / 43 )0.0003629994509376580.002892968536169080.125476460044169
Winsorized Mean ( 21 / 43 )0.0003197579214331230.00281601330955390.113549861553665
Winsorized Mean ( 22 / 43 )0.0005087055158486870.002776403857586640.183224610662684
Winsorized Mean ( 23 / 43 )0.0004626413445655880.002713935674852950.170468795134820
Winsorized Mean ( 24 / 43 )0.0002689922959254930.002681540658608330.100312592711197
Winsorized Mean ( 25 / 43 )0.0001025869054037450.002638296900783770.0388837607220285
Winsorized Mean ( 26 / 43 )2.07859840444844e-050.002626182183266520.00791490559068153
Winsorized Mean ( 27 / 43 )-0.0002998840050754570.00257156664426588-0.116615295871932
Winsorized Mean ( 28 / 43 )-0.0002185768565874040.00254006028504741-0.0860518381686062
Winsorized Mean ( 29 / 43 )0.0001437657846800180.002500208633180270.0575015151824138
Winsorized Mean ( 30 / 43 )-0.0002644405351653820.00241314634332811-0.109583298127156
Winsorized Mean ( 31 / 43 )-0.0002129041613996980.00239417924461572-0.0889257401585527
Winsorized Mean ( 32 / 43 )-0.0005583057338421120.00233478150465632-0.239125473937782
Winsorized Mean ( 33 / 43 )-0.0005348777107520140.00232795838122419-0.229762574393938
Winsorized Mean ( 34 / 43 )-0.001246214623882420.00224036447429356-0.55625530496567
Winsorized Mean ( 35 / 43 )-0.001317145957010720.00212350382622214-0.620270112417932
Winsorized Mean ( 36 / 43 )-0.001424689256211590.00208482213359698-0.683362495654988
Winsorized Mean ( 37 / 43 )-0.002188957965410040.00196176750833280-1.11580906305779
Winsorized Mean ( 38 / 43 )-0.002318091661177650.00194433077344882-1.19223112282786
Winsorized Mean ( 39 / 43 )-0.002878162724325870.00182233079627964-1.57938543880275
Winsorized Mean ( 40 / 43 )-0.003629130099738920.00168191339175107-2.15773898795144
Winsorized Mean ( 41 / 43 )-0.004204185534461380.00157316386165924-2.67243968471737
Winsorized Mean ( 42 / 43 )-0.004258936426945060.00150379637755553-2.83212307896904
Winsorized Mean ( 43 / 43 )-0.003909819370614300.00141288780356684-2.76725396081979
Trimmed Mean ( 1 / 43 )0.001014935001158780.004004633439243680.253440175376067
Trimmed Mean ( 2 / 43 )0.0009175197426741120.003820037436080790.240186060484122
Trimmed Mean ( 3 / 43 )0.0007590351157146410.003691491148228050.205617482268374
Trimmed Mean ( 4 / 43 )0.0005668471884733580.003568148562089810.158863113070988
Trimmed Mean ( 5 / 43 )0.0005119575289712720.003487918364254290.146780249852759
Trimmed Mean ( 6 / 43 )0.0004391654988206860.003405370033227940.128962636816417
Trimmed Mean ( 7 / 43 )0.0003646424608948670.003321948227661490.109767653167659
Trimmed Mean ( 8 / 43 )0.0002172798346460670.003244113984372760.0669766338953336
Trimmed Mean ( 9 / 43 )0.0001390761832281590.003186979573418870.0436388687232667
Trimmed Mean ( 10 / 43 )9.89921198727426e-050.003136074515206480.0315656147176162
Trimmed Mean ( 11 / 43 )4.2475988274761e-050.003082574618750540.0137793868853620
Trimmed Mean ( 12 / 43 )-4.45296449378633e-050.00303104188288223-0.0146912008010658
Trimmed Mean ( 13 / 43 )-0.0001633319320510620.00298207988588297-0.0547711457443738
Trimmed Mean ( 14 / 43 )-0.000273337058327050.00293124979721093-0.093249322724774
Trimmed Mean ( 15 / 43 )-0.0003928414620207870.00289108507970308-0.135880284111574
Trimmed Mean ( 16 / 43 )-0.0005090740433679670.00285227708717996-0.178479869875226
Trimmed Mean ( 17 / 43 )-0.0006139724436434940.00281433263654797-0.218159159891130
Trimmed Mean ( 18 / 43 )-0.000722855792783760.00277649330811402-0.260348472899714
Trimmed Mean ( 19 / 43 )-0.0008294876622497140.00274086799496005-0.302636852185143
Trimmed Mean ( 20 / 43 )-0.0009286879155684040.00270524488134275-0.343291626563378
Trimmed Mean ( 21 / 43 )-0.001024096641503510.00266860166568153-0.383757776469036
Trimmed Mean ( 22 / 43 )-0.001120830358658420.00263547762232156-0.425285477351575
Trimmed Mean ( 23 / 43 )-0.001235462211302320.00260159449287279-0.474886541575535
Trimmed Mean ( 24 / 43 )-0.001352510706669670.0025694926819845-0.526372663425951
Trimmed Mean ( 25 / 43 )-0.001462299972470380.00253581722746974-0.576658268833309
Trimmed Mean ( 26 / 43 )-0.001566625764328660.00250150699892256-0.626272788764305
Trimmed Mean ( 27 / 43 )-0.001671060747774260.00246257511932832-0.678582648975211
Trimmed Mean ( 28 / 43 )-0.001760276451753660.00242356646819792-0.72631655655087
Trimmed Mean ( 29 / 43 )-0.001859691604219740.00238124892227317-0.780973205625413
Trimmed Mean ( 30 / 43 )-0.001987991831095090.00233580393033416-0.851095336075873
Trimmed Mean ( 31 / 43 )-0.00209782598230630.00229334132993834-0.914746511965013
Trimmed Mean ( 32 / 43 )-0.002217591298395190.00224481440088400-0.98787289386682
Trimmed Mean ( 33 / 43 )-0.002322917042238890.00219492967761342-1.05831046248581
Trimmed Mean ( 34 / 43 )-0.002436526579430140.00213543540108821-1.14099755871261
Trimmed Mean ( 35 / 43 )-0.002512379792283670.00207705081613034-1.2095899497367
Trimmed Mean ( 36 / 43 )-0.002588921860552380.0020239170823804-1.27916399495352
Trimmed Mean ( 37 / 43 )-0.002663996383649750.00196465480138675-1.35596155709867
Trimmed Mean ( 38 / 43 )-0.002694904789240920.00191216429058569-1.40934793234502
Trimmed Mean ( 39 / 43 )-0.002719695126613510.00184944677213379-1.47054522876356
Trimmed Mean ( 40 / 43 )-0.002709130620099350.00179290681340899-1.51102700923328
Trimmed Mean ( 41 / 43 )-0.002646838988665420.00174677073576904-1.51527555074371
Trimmed Mean ( 42 / 43 )-0.002539492726229850.00170689482806569-1.48778511978251
Trimmed Mean ( 43 / 43 )-0.002418536188841880.00166765282021089-1.45026360374939
Median-0.00122524418381871
Midrange-0.014333127581668
Midmean - Weighted Average at Xnp-0.00277616457981561
Midmean - Weighted Average at X(n+1)p-0.00221759129839519
Midmean - Empirical Distribution Function-0.00221759129839519
Midmean - Empirical Distribution Function - Averaging-0.00221759129839519
Midmean - Empirical Distribution Function - Interpolation-0.00232291704223889
Midmean - Closest Observation-0.00221759129839519
Midmean - True Basic - Statistics Graphics Toolkit-0.00221759129839519
Midmean - MS Excel (old versions)-0.00221759129839519
Number of observations130
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Dec/12/t1197478568eaa3jqmgs8vsj1i/18qk61197479474.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Dec/12/t1197478568eaa3jqmgs8vsj1i/18qk61197479474.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Dec/12/t1197478568eaa3jqmgs8vsj1i/2xet41197479474.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Dec/12/t1197478568eaa3jqmgs8vsj1i/2xet41197479474.ps (open in new window)


 
Parameters:
 
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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