R version 3.0.2 (2013-09-25) -- "Frisbee Sailing"
Copyright (C) 2013 The R Foundation for Statistical Computing
Platform: i686-pc-linux-gnu (32-bit)

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> x <- c(0.0368357751591943
+ ,-1.0190639003189
+ ,0.208161805224601
+ ,-2.2788665584041
+ ,-1.83765123731929
+ ,-0.594497904919413
+ ,-2.40441267822996
+ ,-1.21595267623615
+ ,-2.42855507371705
+ ,-3.40046057915535
+ ,3.15508359674545
+ ,-0.373553340482945
+ ,-0.76588445023371
+ ,3.59973622747415
+ ,1.20826233449091
+ ,2.19729052091375
+ ,1.88934280526474
+ ,2.17280299908972
+ ,-2.49057504855422
+ ,2.71040403630057
+ ,-1.27837150075848
+ ,-2.58907919835159
+ ,2.33984393750344
+ ,-1.61763854297886
+ ,-1.41555898100296
+ ,1.02889904567058
+ ,-0.394054833706567
+ ,0.233352281093463
+ ,-3.92711638592384
+ ,1.45998979343389
+ ,-0.973155560022386
+ ,-1.52676012791688
+ ,1.89955118331678
+ ,-0.040736703184997
+ ,0.0576625757107871
+ ,-1.60028866327377
+ ,4.07214852767873
+ ,5.04197077107892
+ ,0.855249323366386
+ ,-2.50431948897308
+ ,0.985349692364849
+ ,2.30658657655433
+ ,-1.13894516103742
+ ,-1.84272354440752
+ ,0.0557831160447392
+ ,-0.965219257189205
+ ,-0.564485855429203
+ ,-3.24658615426235
+ ,1.39361817938584
+ ,0.689733579138978
+ ,-2.98291313364805
+ ,-0.16391565029285
+ ,-1.43764633595845
+ ,1.47720704735019
+ ,1.09283275258998
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+ ,-3.38215002809808
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+ ,1.69912948646031
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+ ,0.0487003845138038
+ ,-1.87256490085429
+ ,-4.99101230551626
+ ,-0.357221175001607
+ ,1.87469197406837
+ ,-1.18166835073059
+ ,-0.905777263556753
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+ ,1.85334592329955
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+ ,-0.449093408053045
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+ ,-1.36263558897174
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+ ,0.664233331749525
+ ,0.606327085737559
+ ,-1.88955706388571
+ ,5.44794503219688
+ ,0.516228402681602
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+ ,0.112896158180923
+ ,-0.832174815602652
+ ,-0.341683212507999
+ ,1.25371805660489
+ ,0.567385394419931
+ ,-0.117886848361801
+ ,-2.2158217020701
+ ,-0.939483003618944
+ ,-2.09063751521921
+ ,0.580237595114395
+ ,-0.223100991231705
+ ,-0.85871704699942
+ ,-3.10004394974646
+ ,-3.04631733096399
+ ,1.10513134894708
+ ,-0.622758451182783
+ ,4.3520819242433
+ ,2.7148117720876
+ ,-2.78937709524309
+ ,-0.167443488159463
+ ,4.1727053002789
+ ,0.550963616634063
+ ,4.77553501951607
+ ,-0.62005022356656
+ ,-1.49154398268031
+ ,0.415284609604837
+ ,-1.10967483726419
+ ,-0.528580897611872
+ ,1.30444061351816
+ ,-2.84707914464274
+ ,-0.548677660690404
+ ,-0.214451000294082
+ ,-0.380683887149735
+ ,-0.380189975484037
+ ,-0.0727914887853047
+ ,-5.5371399058937
+ ,1.64649539248047
+ ,-1.94185664000441
+ ,1.9967570096981
+ ,1.56187491212005
+ ,2.20944741193416
+ ,1.07047843684451
+ ,-1.01746525511327
+ ,1.95183558863869
+ ,2.53600661602191
+ ,5.40375256393779
+ ,-2.7186263606211
+ ,-1.004849040061
+ ,0.31863516109105
+ ,-0.867981322813375
+ ,-2.52171183071327
+ ,1.23273845632762
+ ,-2.66235702646079
+ ,1.80002817124374
+ ,-0.661096201572958
+ ,-2.41430270585832
+ ,-0.310008778693897
+ ,-0.833953613503462
+ ,-4.82072047348237
+ ,0.0712094741764551
+ ,6.17039971400764
+ ,1.98015384703667
+ ,-3.03982009090767
+ ,-1.22743346232641
+ ,2.60280524958066
+ ,4.7800334467633
+ ,5.0129325270763
+ ,-1.44059479812376
+ ,-1.85997051745873
+ ,-1.63186522596681
+ ,-0.767707465308539
+ ,-0.388978803320056
+ ,0.46777657817699
+ ,-1.08699543059431
+ ,0.826370506937159
+ ,-0.409566651156072
+ ,-3.51070086958119
+ ,1.26118373465699
+ ,-2.77650796710508
+ ,0.349066307576833
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+ ,-2.41225925983822
+ ,-1.39975471544014
+ ,1.03614929106713
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+ ,3.58439421250938
+ ,1.03213368098337
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+ ,0.0290941640710876
+ ,2.52911581036576
+ ,-0.266524208754152
+ ,2.0812332919274
+ ,-1.58738810351554
+ ,-1.42614655462839
+ ,-1.77211327774126
+ ,-1.01086560411757
+ ,0.991195831369154
+ ,1.5315489476354
+ ,-3.75766642101972
+ ,-1.95779168343568
+ ,2.45130315841064
+ ,-1.74653903169997
+ ,-2.24259910449532
+ ,1.70755549542789
+ ,-1.92342834740484
+ ,1.30741333356524
+ ,2.71550198857552
+ ,3.42372633213998
+ ,-1.43675398327492
+ ,2.29355429776156
+ ,3.08163264815911
+ ,2.07111738238772
+ ,0.389782913682394
+ ,-4.42017454752259
+ ,-0.0326198140592755
+ ,-0.594183931742408
+ ,-0.890834090821979
+ ,0.193681134498324
+ ,1.73682305567116
+ ,-1.81273878070222
+ ,-2.84585207610763
+ ,-2.15936849572974
+ ,0.0930238264161019
+ ,0.654787564364268
+ ,-0.775855274352993
+ ,-3.02066499499275
+ ,2.0334530541507
+ ,2.08877131303298
+ ,-0.512430662802789
+ ,0.739675907928347
+ ,3.40716274559129
+ ,1.14499291978022
+ ,2.10508435215283
+ ,1.16885365289879
+ ,-1.88926376257524
+ ,3.07126868148612
+ ,0.526285403668501
+ ,-1.07041096537501
+ ,-1.47568183434488
+ ,-0.176125743115906
+ ,-2.59607569113522
+ ,-0.350795310865224
+ ,-4.40626480760035
+ ,2.26826617963964
+ ,-2.26532476424654
+ ,1.73998689384217
+ ,-4.47291404971826
+ ,2.67819410391647
+ ,-3.22608795077426
+ ,1.60686038123645
+ ,6.58335638708255
+ ,1.34923758808235
+ ,0.374037093336989
+ ,2.39810745924056
+ ,-0.849057400950937
+ ,-0.205452468150575
+ ,2.50767119399353
+ ,0.0510351433973448
+ ,-2.35821666225616
+ ,0.372539117556919
+ ,-3.22625940441536
+ ,-0.77417475332925
+ ,0.528279380937435
+ ,-0.936470813462194
+ ,1.71292769694171
+ ,-3.91065649823365
+ ,-0.0191556056008895
+ ,1.14183431087096
+ ,-2.05351986514292
+ ,-0.0257643217199542
+ ,-1.77788563399384
+ ,-0.557997953903428
+ ,6.62708136410813
+ ,1.95570769054546
+ ,0.0284509462877964
+ ,-1.47443919033645
+ ,5.14457941343711
+ ,1.23307814116522
+ ,-0.608395790847639
+ ,1.30135077149576
+ ,-5.17191093426233
+ ,1.53805619072917
+ ,-0.553764717086649
+ ,-1.2628395949886
+ ,0.93760261638218
+ ,-0.852063304012524
+ ,-1.4788286112616
+ ,-1.85846542972199
+ ,-2.63076793231397
+ ,3.05051816813332
+ ,-3.2689011138175
+ ,-0.188349694353825
+ ,-1.15999193385793
+ ,1.71369201868517
+ ,3.3364738373542
+ ,-0.808699414767659
+ ,5.10011890304847
+ ,-1.52187984447781
+ ,3.47042679135923
+ ,2.4706703275427
+ ,-0.229262829123134
+ ,-3.21482807374368
+ ,1.10463274827445
+ ,0.830717865543033
+ ,-1.37198279508075
+ ,-3.13097190789517
+ ,1.08886895934984
+ ,-1.69814461608981)
> ylimmax = ''
> ylimmin = ''
> main = 'Robustness of Central Tendency'
> #'GNU S' R Code compiled by R2WASP v. 1.2.291 ()
> #Author: root
> #To cite this work: Wessa, P., (2012), Central Tendency (v1.0.4) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_centraltendency.wasp/
> #Source of accompanying publication: Office for Research, Development, and Education
> #
> 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))
[1] 0.02890754
> sqrtn <- sqrt(length(x))
> (armse <- sd(x) / sqrtn)
[1] 0.1273435
> (armose <- arm / armse)
[1] 0.2270044
> (geo <- geomean(x))
[1] NaN
Warning message:
In log(x) : NaNs produced
> (har <- harmean(x))
[1] 55.67599
> (qua <- quamean(x))
[1] 2.245913
> (win <- winmean(x))
                [,1]       [,2]
  [1,]  0.0314227119 0.12691846
  [2,]  0.0311167651 0.12617124
  [3,]  0.0320875174 0.12582464
  [4,]  0.0260333833 0.12433213
  [5,]  0.0308989915 0.12355693
  [6,]  0.0266413736 0.12278943
  [7,]  0.0259795589 0.12261704
  [8,]  0.0248452412 0.12237802
  [9,]  0.0378291886 0.12073246
 [10,]  0.0308920350 0.11970593
 [11,]  0.0361273175 0.11912393
 [12,]  0.0253829014 0.11724029
 [13,]  0.0313488190 0.11626578
 [14,]  0.0344865036 0.11556936
 [15,]  0.0267429425 0.11446490
 [16,]  0.0273938215 0.11331897
 [17,]  0.0091148070 0.11103949
 [18,]  0.0036746005 0.11022732
 [19,]  0.0027507522 0.11012848
 [20,] -0.0011323920 0.10958225
 [21,]  0.0016760667 0.10876317
 [22,]  0.0005639031 0.10822543
 [23,]  0.0033034856 0.10773865
 [24,] -0.0016343350 0.10714455
 [25,] -0.0146339460 0.10557454
 [26,] -0.0176088699 0.10470052
 [27,] -0.0067508872 0.10356133
 [28,] -0.0085029912 0.10337403
 [29,] -0.0343930385 0.10005085
 [30,] -0.0332219893 0.09993559
 [31,] -0.0279088804 0.09939271
 [32,] -0.0254412494 0.09860142
 [33,] -0.0300739164 0.09761734
 [34,] -0.0335726899 0.09666753
 [35,] -0.0335608340 0.09653465
 [36,] -0.0282127941 0.09567122
 [37,] -0.0262008700 0.09549442
 [38,] -0.0290333834 0.09497188
 [39,] -0.0237017827 0.09412558
 [40,] -0.0286945175 0.09340229
 [41,] -0.0360824121 0.09274502
 [42,] -0.0395030939 0.09229064
 [43,] -0.0349324506 0.09162199
 [44,] -0.0273083244 0.09042650
 [45,] -0.0338386572 0.08958229
 [46,] -0.0322804413 0.08917036
 [47,] -0.0291659249 0.08877596
 [48,] -0.0233093096 0.08786516
 [49,] -0.0231503213 0.08617719
 [50,] -0.0198162490 0.08551287
 [51,] -0.0054005497 0.08423343
 [52,] -0.0044306940 0.08390166
 [53,] -0.0076983539 0.08316257
 [54,] -0.0081872549 0.08223021
 [55,] -0.0110623907 0.08199741
 [56,] -0.0124529308 0.08143516
 [57,] -0.0108594370 0.08121147
 [58,] -0.0202991820 0.08044033
 [59,] -0.0192527816 0.08007393
 [60,] -0.0210948054 0.07978691
 [61,] -0.0203975274 0.07911287
 [62,] -0.0240667759 0.07780678
 [63,] -0.0281733504 0.07732602
 [64,] -0.0278207332 0.07658052
 [65,] -0.0198378055 0.07570053
 [66,] -0.0064864387 0.07465985
 [67,] -0.0083985916 0.07407408
 [68,] -0.0047837905 0.07379811
 [69,] -0.0031188652 0.07351118
 [70,] -0.0026037919 0.07320330
 [71,] -0.0032245600 0.07152993
 [72,] -0.0112448818 0.07077737
 [73,] -0.0146725143 0.06952075
 [74,] -0.0173060012 0.06890391
 [75,] -0.0181138055 0.06873887
 [76,] -0.0291802834 0.06789850
 [77,] -0.0217528008 0.06726299
 [78,] -0.0220992423 0.06714965
 [79,] -0.0263538125 0.06683016
 [80,] -0.0431433667 0.06560678
 [81,] -0.0519113993 0.06461116
 [82,] -0.0601210398 0.06365784
 [83,] -0.0567075197 0.06331589
 [84,] -0.0500623448 0.06275010
 [85,] -0.0584587730 0.06182303
 [86,] -0.0491045679 0.06091139
 [87,] -0.0429079626 0.05971688
 [88,] -0.0386229772 0.05941947
 [89,] -0.0355051215 0.05827301
 [90,] -0.0435612452 0.05727815
 [91,] -0.0361601119 0.05644586
 [92,] -0.0341771890 0.05572954
 [93,] -0.0288451402 0.05525907
 [94,] -0.0310844606 0.05393958
 [95,] -0.0243306896 0.05348670
 [96,] -0.0228585451 0.05291500
 [97,] -0.0081272074 0.05182246
 [98,] -0.0134015791 0.05139851
 [99,] -0.0183377461 0.05079122
[100,] -0.0203109915 0.05040688
[101,] -0.0113511682 0.04967764
[102,] -0.0098140846 0.04944485
[103,] -0.0102058019 0.04831866
[104,] -0.0127952050 0.04801474
> (tri <- trimean(x))
                [,1]       [,2]
  [1,]  0.0282505472 0.12468062
  [2,]  0.0250371855 0.12233599
  [3,]  0.0219377920 0.12028563
  [4,]  0.0184655176 0.11826787
  [5,]  0.0165109033 0.11658280
  [6,]  0.0135181809 0.11500177
  [7,]  0.0112282278 0.11350213
  [8,]  0.0090069849 0.11196530
  [9,]  0.0069059918 0.11039603
 [10,]  0.0032347446 0.10898617
 [11,]  0.0002592017 0.10764574
 [12,] -0.0032732643 0.10631372
 [13,] -0.0058783702 0.10513226
 [14,] -0.0090243299 0.10399869
 [15,] -0.0124628760 0.10288224
 [16,] -0.0153753083 0.10181937
 [17,] -0.0183753012 0.10081020
 [18,] -0.0202032879 0.09994946
 [19,] -0.0217138112 0.09911574
 [20,] -0.0231907741 0.09825210
 [21,] -0.0244652584 0.09739047
 [22,] -0.0259144576 0.09654893
 [23,] -0.0273261542 0.09570671
 [24,] -0.0289000092 0.09485875
 [25,] -0.0302528862 0.09401140
 [26,] -0.0310025953 0.09322784
 [27,] -0.0316255593 0.09246313
 [28,] -0.0327483744 0.09173266
 [29,] -0.0338120076 0.09097857
 [30,] -0.0337872017 0.09038651
 [31,] -0.0337872017 0.08977203
 [32,] -0.0340502270 0.08915817
 [33,] -0.0343914365 0.08855819
 [34,] -0.0345587324 0.08798250
 [35,] -0.0345961224 0.08742920
 [36,] -0.0346345760 0.08685456
 [37,] -0.0348684224 0.08629610
 [38,] -0.0351781196 0.08571770
 [39,] -0.0353937244 0.08513626
 [40,] -0.0357968948 0.08456779
 [41,] -0.0360377580 0.08400608
 [42,] -0.0360362676 0.08344749
 [43,] -0.0359223138 0.08288137
 [44,] -0.0359543775 0.08231777
 [45,] -0.0359543775 0.08178252
 [46,] -0.0363059219 0.08125896
 [47,] -0.0364311663 0.08072578
 [48,] -0.0366544479 0.08018131
 [49,] -0.0370597909 0.07964990
 [50,] -0.0374775570 0.07916941
 [51,] -0.0380023502 0.07869198
 [52,] -0.0389612266 0.07824616
 [53,] -0.0399669703 0.07778837
 [54,] -0.0408981402 0.07733742
 [55,] -0.0418337650 0.07690228
 [56,] -0.0427065531 0.07645030
 [57,] -0.0435578455 0.07599598
 [58,] -0.0444710127 0.07552255
 [59,] -0.0451412590 0.07505564
 [60,] -0.0458542891 0.07457526
 [61,] -0.0465319170 0.07407672
 [62,] -0.0465319170 0.07357745
 [63,] -0.0478699673 0.07310810
 [64,] -0.0484001040 0.07262972
 [65,] -0.0489513371 0.07215433
 [66,] -0.0497276980 0.07168798
 [67,] -0.0508760869 0.07123811
 [68,] -0.0519999826 0.07078413
 [69,] -0.0532450343 0.07030966
 [70,] -0.0545628103 0.06981386
 [71,] -0.0559250971 0.06929630
 [72,] -0.0573035820 0.06882525
 [73,] -0.0585059175 0.06835688
 [74,] -0.0596482515 0.06791634
 [75,] -0.0607502520 0.06747209
 [76,] -0.0618587996 0.06700002
 [77,] -0.0627078750 0.06653454
 [78,] -0.0637716431 0.06606328
 [79,] -0.0648540431 0.06555823
 [80,] -0.0658543822 0.06502836
 [81,] -0.0664448686 0.06452281
 [82,] -0.0668231171 0.06402937
 [83,] -0.0669977787 0.06354612
 [84,] -0.0672663999 0.06303854
 [85,] -0.0672663999 0.06251730
 [86,] -0.0679591265 0.06200299
 [87,] -0.0684547974 0.06149427
 [88,] -0.0691284461 0.06100820
 [89,] -0.0699355786 0.06049215
 [90,] -0.0699355786 0.05999573
 [91,] -0.0715776722 0.05951210
 [92,] -0.0725263568 0.05903020
 [93,] -0.0735585291 0.05854317
 [94,] -0.0747682565 0.05803384
 [95,] -0.0747682565 0.05755733
 [96,] -0.0773696470 0.05705666
 [97,] -0.0788710121 0.05653847
 [98,] -0.0808326249 0.05603344
 [99,] -0.0827157690 0.05550086
[100,] -0.0845272718 0.05495108
[101,] -0.0863486791 0.05436468
[102,] -0.0884938224 0.05376025
[103,] -0.0907642699 0.05309891
[104,] -0.0931106330 0.05244756
> (midr <- midrange(x))
[1] 0.1307408
> midm <- array(NA,dim=8)
> for (j in 1:8) midm[j] <- midmean(x,j)
> midm
[1] -0.07254122 -0.06377164 -0.07254122 -0.06377164 -0.06377164 -0.07254122
[7] -0.06377164 -0.06270787
> postscript(file="/var/fisher/rcomp/tmp/1tdk11386183860.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> 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()
null device 
          1 
> postscript(file="/var/fisher/rcomp/tmp/2l3ug1386183860.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> 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()
null device 
          1 
> 
> #Note: the /var/fisher/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/fisher/rcomp/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="/var/fisher/rcomp/tmp/3j2be1386183860.tab") 
> 
> try(system("convert tmp/1tdk11386183860.ps tmp/1tdk11386183860.png",intern=TRUE))
character(0)
> try(system("convert tmp/2l3ug1386183860.ps tmp/2l3ug1386183860.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  4.490   0.785   5.243