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IKO opgave 5 Lorenz Van Look

*Unverified author*
R Software Module: /rwasp_centraltendency.wasp (opens new window with default values)
Title produced by software: Central Tendency
Date of computation: Mon, 04 Apr 2011 10:15:50 +0000
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2011/Apr/04/t1301912029v97zyw5kp99prmt.htm/, Retrieved Mon, 04 Apr 2011 12:13:50 +0200
 
Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
KDGP1W52
 
Dataseries X:
» Textbox « » Textfile « » CSV «
131.676 135.050 129.070 137.792 139.762 142.917 144.198 142.648 152.170 136.022 138.142 138.135 135.027 132.911 133.976 137.012 119.610 118.106 120.383 133.185 131.416 134.248 134.397 127.728 131.837 125.955 134.187 143.291 145.074 149.812 144.668 147.253 145.568 155.564 155.872 156.323 158.010 155.598 154.785 157.294 162.938 157.283 166.074 169.282 172.552 174.055 175.409 173.696 171.283 173.322 170.717 174.229 175.339 173.511 175.839 173.816 173.990 174.777 174.819 176.726 176.199 180.952 176.663 182.346 180.605 182.497 187.856 190.020 190.108 193.288 193.230 199.068 195.076 191.563 191.067 186.665 185.508 184.371 183.046 175.714 175.768 171.029 170.465 170.102 156.389 124.291 99.360 86.675 85.056 128.236 164.257 162.401 152.779 156.005 153.387 153.190 148.840 144.211 145.953 145.542 150.271 147.489 143.824 134.754 131.736 126.304 125.511 125.495 130.133 126.257 110.323 98.417 105.749 120.665 12 etc...
 
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'RServer@AstonUniversity' @ vre.aston.ac.uk


Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean145.2148370786521.8153711259931679.991818201475
Geometric Mean143.192289620066
Harmonic Mean141.1541097096
Quadratic Mean147.209596186255
Winsorized Mean ( 1 / 59 )145.2015056179781.8100636778537180.21900411269
Winsorized Mean ( 2 / 59 )145.3133483146071.7851174038446181.4026842165366
Winsorized Mean ( 3 / 59 )145.3282640449441.7826317918015481.5245552745777
Winsorized Mean ( 4 / 59 )145.4343764044941.7573837400650882.756186420109
Winsorized Mean ( 5 / 59 )145.5489269662921.7397718236091183.6597793981712
Winsorized Mean ( 6 / 59 )145.5470056179781.7315911663012284.053908596031
Winsorized Mean ( 7 / 59 )145.5798820224721.7270664595183684.2931557266594
Winsorized Mean ( 8 / 59 )145.5419494382021.7067903938210585.2723040656283
Winsorized Mean ( 9 / 59 )145.5172752808991.6946983299928185.866182025161
Winsorized Mean ( 10 / 59 )145.4553089887641.6855594220017586.2949754782437
Winsorized Mean ( 11 / 59 )145.3881348314611.6759019564890286.7521720280378
Winsorized Mean ( 12 / 59 )145.2992808988761.6642592731310687.3056760113568
Winsorized Mean ( 13 / 59 )145.3030056179781.6545612226864587.8196609624723
Winsorized Mean ( 14 / 59 )145.3171629213481.6503607716430688.051755360541
Winsorized Mean ( 15 / 59 )145.2120786516851.6343803973216388.84839715996
Winsorized Mean ( 16 / 59 )145.2039887640451.6281601214467789.1828677360172
Winsorized Mean ( 17 / 59 )144.8499494382021.5826085060565991.52607791748
Winsorized Mean ( 18 / 59 )144.8510617977531.5811082381024691.6136279016507
Winsorized Mean ( 19 / 59 )144.9517191011241.5601843319570892.9067906478063
Winsorized Mean ( 20 / 59 )144.9252022471911.5542276770630493.2457994320693
Winsorized Mean ( 21 / 59 )144.9230786516851.5526615320193793.3384872768766
Winsorized Mean ( 22 / 59 )144.9848764044941.5451113747324493.834579678504
Winsorized Mean ( 23 / 59 )144.9589044943821.5393699741547894.1676834862097
Winsorized Mean ( 24 / 59 )145.0381853932581.5296375966254794.818658820381
Winsorized Mean ( 25 / 59 )145.0366404494381.5145897273879395.7596884666379
Winsorized Mean ( 26 / 59 )145.0797303370791.5091958716848396.130484491132
Winsorized Mean ( 27 / 59 )145.0296741573031.4968454711615996.8902114155826
Winsorized Mean ( 28 / 59 )145.0894494382021.4855904954278497.664497642345
Winsorized Mean ( 29 / 59 )145.079022471911.4844092767297897.7351898470519
Winsorized Mean ( 30 / 59 )145.0646966292131.479777093618598.0314516657958
Winsorized Mean ( 31 / 59 )145.0573820224721.4762099319825498.2633830593869
Winsorized Mean ( 32 / 59 )145.0444382022471.470664680223798.6250911935854
Winsorized Mean ( 33 / 59 )145.0097696629211.4668034865700998.8610751137533
Winsorized Mean ( 34 / 59 )144.9996460674161.43804741245258100.830921714966
Winsorized Mean ( 35 / 59 )144.7778483146071.40869863139426102.774181140016
Winsorized Mean ( 36 / 59 )144.8195112359551.39459892785351103.843125319803
Winsorized Mean ( 37 / 59 )144.9982752808991.36542421944194106.192839716993
Winsorized Mean ( 38 / 59 )145.0296573033711.35203126763416107.267975804398
Winsorized Mean ( 39 / 59 )144.972910112361.34155097929369108.0636609044
Winsorized Mean ( 40 / 59 )144.8823483146071.31373344923893110.282910432508
Winsorized Mean ( 41 / 59 )144.1680730337081.23567941206825116.671097394431
Winsorized Mean ( 42 / 59 )143.7650617977531.19099684934678120.709859036658
Winsorized Mean ( 43 / 59 )143.5679382022471.14911123907188124.938242113274
Winsorized Mean ( 44 / 59 )143.4433539325841.13577704566141126.295345094822
Winsorized Mean ( 45 / 59 )143.1516123595511.08121798049405132.398475554521
Winsorized Mean ( 46 / 59 )143.0978595505621.07236695073238133.441131743972
Winsorized Mean ( 47 / 59 )142.5452134831461.02242479798097139.41877560544
Winsorized Mean ( 48 / 59 )142.6471460674161.00965077649555141.283649147022
Winsorized Mean ( 49 / 59 )142.6790786516850.997450990927534143.043698336504
Winsorized Mean ( 50 / 59 )142.4911573033710.978895014863005145.563267909084
Winsorized Mean ( 51 / 59 )142.7576179775280.953638853469113149.697778627842
Winsorized Mean ( 52 / 59 )142.6375505617980.918396321497682155.311543854172
Winsorized Mean ( 53 / 59 )142.7691573033710.902917169663497158.119883085819
Winsorized Mean ( 54 / 59 )142.9256966292130.871873322476858163.929429820359
Winsorized Mean ( 55 / 59 )142.9942921348310.858568891238204166.549584540163
Winsorized Mean ( 56 / 59 )143.1610337078650.834044491381416171.646758880632
Winsorized Mean ( 57 / 59 )143.5411404494380.79559691789874180.419427501739
Winsorized Mean ( 58 / 59 )143.6147808988760.787371547774863182.397727355956
Winsorized Mean ( 59 / 59 )143.6200842696630.784418339006631183.091186332461
Trimmed Mean ( 1 / 59 )145.2506647727271.7774820484345881.717092389568
Trimmed Mean ( 2 / 59 )145.3009540229881.7424792536001883.3874800648436
Trimmed Mean ( 3 / 59 )145.2945406976741.7188470300859984.5302334381705
Trimmed Mean ( 4 / 59 )145.2827705882351.6944457051869385.7405876998627
Trimmed Mean ( 5 / 59 )145.2426130952381.6757272479489386.674375721355
Trimmed Mean ( 6 / 59 )145.1769216867471.6598584415990387.463435464346
Trimmed Mean ( 7 / 59 )145.1099756097561.6444687141397688.2412504184763
Trimmed Mean ( 8 / 59 )145.0362160493831.6286970603011289.0504560882353
Trimmed Mean ( 9 / 59 )144.96588751.6150300127180889.7604913583149
Trimmed Mean ( 10 / 59 )144.8968670886081.6020712178237690.4434618614733
Trimmed Mean ( 11 / 59 )144.8331474358971.5893212501606291.1289315619862
Trimmed Mean ( 12 / 59 )144.7748311688311.5767678960823891.8174650362537
Trimmed Mean ( 13 / 59 )144.7236513157891.5645869317537592.4995910285201
Trimmed Mean ( 14 / 59 )144.6707666666671.5524712425560393.1874051518513
Trimmed Mean ( 15 / 59 )144.6152364864861.5397480896464693.9213612011636
Trimmed Mean ( 16 / 59 )144.5667260273971.5276252644109994.6349405154268
Trimmed Mean ( 17 / 59 )144.5174930555561.5150437276198695.3883313207025
Trimmed Mean ( 18 / 59 )144.4929788732391.5058779955745295.9526464281146
Trimmed Mean ( 19 / 59 )144.4676857142861.4959458952411296.5728013117745
Trimmed Mean ( 20 / 59 )144.4348260869571.4869572270520597.1344860896265
Trimmed Mean ( 21 / 59 )144.4027352941181.4775819650443597.72908624381
Trimmed Mean ( 22 / 59 )144.3698208955221.4673715148111198.386686287901
Trimmed Mean ( 23 / 59 )144.3321212121211.4567568105371399.0777047810087
Trimmed Mean ( 24 / 59 )144.2948076923081.4455386315737999.8207896631656
Trimmed Mean ( 25 / 59 )144.2517343751.43396491806999100.596418055438
Trimmed Mean ( 26 / 59 )144.2073809523811.42244914634939101.379638999734
Trimmed Mean ( 27 / 59 )144.1592177419351.41013073342888102.231101219528
Trimmed Mean ( 28 / 59 )144.1121803278691.39753335501972103.118955844768
Trimmed Mean ( 29 / 59 )144.0604083333331.384478760814104.053895524286
Trimmed Mean ( 30 / 59 )144.0074237288141.37006413433984105.109987276766
Trimmed Mean ( 31 / 59 )143.9533448275861.35443358056179106.283059497002
Trimmed Mean ( 32 / 59 )143.8977368421051.33734665139287107.599429581129
Trimmed Mean ( 33 / 59 )143.8407857142861.31880288437995109.069207701888
Trimmed Mean ( 34 / 59 )143.7834636363641.29847617842396110.732461654308
Trimmed Mean ( 35 / 59 )143.7245092592591.27839147086029112.426054565696
Trimmed Mean ( 36 / 59 )143.6739716981131.258685777942114.146019773915
Trimmed Mean ( 37 / 59 )143.6195096153851.23786273815513116.02216076835
Trimmed Mean ( 38 / 59 )143.5544803921571.21709418519117117.9485385263
Trimmed Mean ( 39 / 59 )143.485381.19493323855436120.078156143342
Trimmed Mean ( 40 / 59 )143.4161020408161.17094659878041122.478772465107
Trimmed Mean ( 41 / 59 )143.3481354166671.14661313458336125.018745288274
Trimmed Mean ( 42 / 59 )143.3102659574471.12714480731166127.144502665327
Trimmed Mean ( 43 / 59 )143.2893152173911.10949635863982129.148071646721
Trimmed Mean ( 44 / 59 )143.27651.09348430300181131.027486729055
Trimmed Mean ( 45 / 59 )143.2688295454551.07645825362272133.092787447443
Trimmed Mean ( 46 / 59 )143.2742209302331.06235764179022134.86439527916
Trimmed Mean ( 47 / 59 )143.2742209302331.04692590067644136.85230333652
Trimmed Mean ( 48 / 59 )143.3163902439021.03400345228747138.603396271891
Trimmed Mean ( 49 / 59 )143.34741251.02024475248167140.502964755583
Trimmed Mean ( 50 / 59 )143.3785384615381.00542440574206142.604991128813
Trimmed Mean ( 51 / 59 )143.3785384615380.989951570422557144.833891621928
Trimmed Mean ( 52 / 59 )143.4513513513510.974701969740384147.174578286284
Trimmed Mean ( 53 / 59 )143.4900416666670.96063186272358149.370479196728
Trimmed Mean ( 54 / 59 )143.5246285714290.945729056392005151.76083213408
Trimmed Mean ( 55 / 59 )143.5246285714290.931736719090078154.039897355975
Trimmed Mean ( 56 / 59 )143.5810909090910.916541230848281156.655353929035
Trimmed Mean ( 57 / 59 )143.6019531250.901415830083455159.307112580556
Trimmed Mean ( 58 / 59 )143.6050161290320.888227314239996161.675973961583
Trimmed Mean ( 59 / 59 )143.6050161290320.873088177571144164.479396031371
Median144.4395
Midrange142.062
Midmean - Weighted Average at Xnp143.061617977528
Midmean - Weighted Average at X(n+1)p143.2765
Midmean - Empirical Distribution Function143.2765
Midmean - Empirical Distribution Function - Averaging143.2765
Midmean - Empirical Distribution Function - Interpolation143.268829545455
Midmean - Closest Observation143.2765
Midmean - True Basic - Statistics Graphics Toolkit143.2765
Midmean - MS Excel (old versions)143.2765
Number of observations178
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2011/Apr/04/t1301912029v97zyw5kp99prmt/1aq151301912146.png (open in new window)
http://www.freestatistics.org/blog/date/2011/Apr/04/t1301912029v97zyw5kp99prmt/1aq151301912146.ps (open in new window)


http://www.freestatistics.org/blog/date/2011/Apr/04/t1301912029v97zyw5kp99prmt/2y0f41301912146.png (open in new window)
http://www.freestatistics.org/blog/date/2011/Apr/04/t1301912029v97zyw5kp99prmt/2y0f41301912146.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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