R version 2.9.0 (2009-04-17)
Copyright (C) 2009 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> x <- c(10.505
+ ,10.505
+ ,10.315
+ ,10.145
+ ,10.815
+ ,13.945
+ ,13.915
+ ,13.525
+ ,12.775
+ ,12.165
+ ,11.635
+ ,11.045
+ ,10.295
+ ,10.045
+ ,9.625
+ ,9.245
+ ,8.885
+ ,8.545
+ ,8.225
+ ,7.895
+ ,7.165
+ ,6.055
+ ,5.175
+ ,4.415
+ ,3.705
+ ,2.085
+ ,-7.305
+ ,-8.005
+ ,-6.715
+ ,-2.825
+ ,-0.975
+ ,1.015
+ ,4.795
+ ,6.295
+ ,7.565
+ ,8.325
+ ,8.475
+ ,7.485
+ ,6.855
+ ,9.665
+ ,8.525
+ ,7.325
+ ,6.585
+ ,5.705
+ ,4.805
+ ,3.695
+ ,2.565
+ ,5.355
+ ,4.915
+ ,3.925
+ ,3.105
+ ,2.385
+ ,1.605
+ ,0.645
+ ,-0.305
+ ,-1.315
+ ,-2.295
+ ,1.495
+ ,3.925
+ ,3.135
+ ,1.975
+ ,1.005
+ ,4.365
+ ,4.305
+ ,3.255
+ ,2.135
+ ,1.235
+ ,0.125
+ ,-0.805
+ ,5.155
+ ,3.495
+ ,1.895
+ ,0.645
+ ,-0.615
+ ,-2.075
+ ,-0.385
+ ,-0.735
+ ,-2.125
+ ,-3.485
+ ,-4.985
+ ,-2.385
+ ,-1.865
+ ,-2.235
+ ,-3.695
+ ,-4.025
+ ,-5.455
+ ,-6.395
+ ,-6.425
+ ,-6.765
+ ,-7.415
+ ,-9.005
+ ,-7.515
+ ,-6.975
+ ,-8.395
+ ,-9.155
+ ,-8.385
+ ,-9.825
+ ,-11.565
+ ,-10.135
+ ,-13.325
+ ,-16.115
+ ,-14.435
+ ,-16.455
+ ,-18.135
+ ,-16.315
+ ,-18.185
+ ,-14.905
+ ,-14.925
+ ,-9.335
+ ,0.285
+ ,14.965
+ ,16.375
+ ,17.375
+ ,16.335
+ ,14.735
+ ,13.185
+ ,11.385
+ ,10.205
+ ,11.255
+ ,9.465
+ ,7.875
+ ,6.455
+ ,4.925
+ ,3.475
+ ,2.025
+ ,0.735
+ ,-0.575
+ ,-1.735
+ ,-2.775
+ ,-1.285
+ ,0.365
+ ,-0.625
+ ,-0.505
+ ,1.415
+ ,-0.285
+ ,0.535
+ ,-0.125
+ ,-1.785
+ ,-3.265
+ ,-4.705
+ ,-6.185
+ ,-4.815
+ ,-0.485
+ ,-1.915
+ ,-1.845
+ ,-4.875
+ ,-5.765
+ ,0.695
+ ,-0.995
+ ,-0.175
+ ,-0.705
+ ,-2.205
+ ,-3.755
+ ,-4.125
+ ,-3.615
+ ,-5.245
+ ,-6.995
+ ,-8.795
+ ,-6.815
+ ,-4.615
+ ,-6.305
+ ,-7.915
+ ,-9.405
+ ,-10.905
+ ,-4.615
+ ,-5.435
+ ,-6.845
+ ,-8.335
+ ,-9.615
+ ,-10.765
+ ,-9.525
+ ,-5.865
+ ,-7.025
+ ,-8.185
+ ,-9.295
+ ,-10.465
+ ,-11.965
+ ,-10.195
+ ,-10.805
+ ,-12.075
+ ,-12.075
+ ,-15.835
+ ,-17.695
+ ,-18.355
+ ,-19.005
+ ,-19.665
+ ,-23.465
+ ,-26.815
+ ,-27.375
+ ,-27.935
+ ,-28.475
+ ,-29.035
+ ,-29.535
+ ,-30.015
+ ,-30.485
+ ,-27.875
+ ,-27.545
+ ,-28.245
+ ,-28.745
+ ,-22.435
+ ,-22.985
+ ,-23.535
+ ,-23.815
+ ,-24.605
+ ,-25.075
+ ,-18.225
+ ,1.425
+ ,0.255
+ ,-0.585
+ ,0.375
+ ,-0.905
+ ,18.695
+ ,32.895
+ ,35.505
+ ,35.235
+ ,31.155
+ ,29.185
+ ,28.285
+ ,26.205
+ ,25.425
+ ,28.455
+ ,25.075
+ ,23.115
+ ,19.455
+ ,17.985
+ ,14.735
+ ,14.855
+ ,14.765
+ ,8.455
+ ,11.055
+ ,10.605
+ ,7.665
+ ,8.415
+ ,7.255
+ ,9.955
+ ,25.745
+ ,27.675
+ ,30.205
+ ,30.245
+ ,22.485
+ ,17.675
+ ,36.665
+ ,80.555
+ ,70.605
+ ,95.115
+ ,95.175
+ ,55.935
+ ,49.245
+ ,44.405
+ ,38.675
+ ,33.705
+ ,41.075
+ ,40.855
+ ,47.875
+ ,32.815
+ ,34.495
+ ,23.005
+ ,21.435
+ ,22.425
+ ,21.195
+ ,12.775
+ ,11.135
+ ,16.565
+ ,17.645
+ ,16.425
+ ,13.515
+ ,14.685
+ ,13.205
+ ,11.575
+ ,11.635
+ ,5.665
+ ,3.115
+ ,-1.085
+ ,-1.115
+ ,7.725
+ ,19.955
+ ,10.705
+ ,5.615
+ ,6.705
+ ,2.535
+ ,1.385
+ ,-4.005
+ ,-4.325
+ ,-8.315
+ ,-9.155
+ ,-8.015
+ ,-6.705
+ ,-8.225
+ ,-11.475
+ ,-17.815
+ ,-17.605
+ ,-14.405
+ ,-10.495
+ ,-21.155
+ ,-21.545
+ ,-20.925
+ ,-20.025
+ ,-25.885
+ ,-22.895
+ ,-23.825
+ ,-21.695
+ ,-23.165
+ ,-17.995
+ ,-14.925
+ ,-20.865
+ ,-23.455
+ ,-30.365
+ ,-32.205
+ ,-26.775
+ ,-26.775
+ ,-23.415
+ ,-30.545
+ ,-26.325
+ ,-27.705
+ ,-30.925
+ ,-28.325
+ ,-26.815
+ ,-30.245
+ ,-26.265
+ ,-29.195
+ ,-28.725
+ ,-29.935
+ ,-29.105
+ ,-27.615
+ ,-21.235
+ ,-20.955
+ ,-18.555
+ ,-20.585
+ ,-19.005
+ ,-13.585
+ ,-22.015
+ ,-21.035
+ ,-14.235
+ ,-15.385
+ ,-7.175
+ ,2.455
+ ,3.225
+ ,16.905
+ ,30.855
+ ,23.405
+ ,20.525
+ ,13.675
+ ,3.865
+ ,3.805
+ ,-0.955
+ ,8.815
+ ,12.575
+ ,12.645
+ ,27.955
+ ,18.545
+ ,12.495
+ ,13.665
+ ,10.195
+ ,3.205
+ ,4.445
+ ,10.575
+ ,6.865
+ ,5.445
+ ,17.625
+ ,25.405)
> ylimmax = ''
> ylimmin = ''
> main = 'Robustness of Central Tendency'
> #'GNU S' R Code compiled by R2WASP v. 1.0.44 ()
> #Author: Prof. Dr. P. Wessa
> #To cite this work: AUTHOR(S), (YEAR), YOUR SOFTWARE TITLE (vNUMBER) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_YOURPAGE.wasp/
> #Source of accompanying publication: Office for Research, Development, and Education
> #Technical description: Write here your technical program description (don't use hard returns!)
> 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] 0.7631667
> sqrtn <- sqrt(length(x))
> (armse <- sd(x) / sqrtn)
[1] 0.993561
> (armose <- arm / armse)
[1] 0.7681126
> (geo <- geomean(x))
[1] NaN
Warning message:
In log(x) : NaNs produced
> (har <- harmean(x))
[1] -35.69164
> (qua <- quamean(x))
[1] 18.84076
> (win <- winmean(x))
               [,1]      [,2]
  [1,]  0.766555556 0.9931945
  [2,]  0.687777778 0.9730424
  [3,]  0.605361111 0.9550449
  [4,]  0.443694444 0.9246096
  [5,]  0.352444444 0.9097259
  [6,]  0.333444444 0.9059895
  [7,]  0.267527778 0.8962834
  [8,]  0.202416667 0.8856167
  [9,]  0.205416667 0.8841198
 [10,]  0.147361111 0.8763012
 [11,]  0.088083333 0.8687390
 [12,]  0.059083333 0.8633599
 [13,]  0.050055556 0.8621811
 [14,]  0.031000000 0.8580337
 [15,]  0.004333333 0.8538046
 [16,] -0.028111111 0.8495536
 [17,] -0.017250000 0.8477974
 [18,] -0.097250000 0.8387364
 [19,] -0.104111111 0.8362721
 [20,] -0.133000000 0.8323423
 [21,] -0.131250000 0.8317299
 [22,] -0.183194444 0.8245168
 [23,] -0.194055556 0.8166565
 [24,] -0.205388889 0.8155513
 [25,] -0.225527778 0.8130775
 [26,] -0.245750000 0.8111319
 [27,] -0.322250000 0.7976686
 [28,] -0.353361111 0.7939494
 [29,] -0.348527778 0.7888246
 [30,] -0.282694444 0.7826509
 [31,] -0.270638889 0.7765079
 [32,] -0.349750000 0.7572505
 [33,] -0.375416667 0.7548577
 [34,] -0.359361111 0.7516784
 [35,] -0.403111111 0.7467466
 [36,] -0.408111111 0.7461487
 [37,] -0.505750000 0.7372392
 [38,] -0.504694444 0.7328659
 [39,] -0.557777778 0.7252541
 [40,] -0.611111111 0.7193056
 [41,] -0.615666667 0.7102948
 [42,] -0.655333333 0.6992059
 [43,] -0.635027778 0.6945859
 [44,] -0.685138889 0.6878173
 [45,] -0.685138889 0.6816347
 [46,] -0.678750000 0.6804896
 [47,] -0.665694444 0.6789825
 [48,] -0.688361111 0.6755993
 [49,] -0.748250000 0.6705295
 [50,] -0.787138889 0.6663864
 [51,] -0.767305556 0.6616300
 [52,] -0.693638889 0.6544036
 [53,] -0.646527778 0.6496336
 [54,] -0.753027778 0.6269194
 [55,] -0.769833333 0.6257481
 [56,] -0.713833333 0.6191231
 [57,] -0.686916667 0.6162567
 [58,] -0.665972222 0.6145869
 [59,] -0.667611111 0.6134938
 [60,] -0.782611111 0.6043436
 [61,] -0.763972222 0.6021043
 [62,] -0.774305556 0.5968388
 [63,] -0.755055556 0.5950530
 [64,] -0.763944444 0.5921083
 [65,] -0.558111111 0.5757730
 [66,] -0.589277778 0.5699491
 [67,] -0.555777778 0.5668446
 [68,] -0.580333333 0.5576091
 [69,] -0.494083333 0.5510766
 [70,] -0.429916667 0.5426869
 [71,] -0.443722222 0.5417616
 [72,] -0.455722222 0.5403941
 [73,] -0.427333333 0.5288762
 [74,] -0.530111111 0.5212658
 [75,] -0.494694444 0.5186460
 [76,] -0.370138889 0.5077806
 [77,] -0.355166667 0.5011025
 [78,] -0.112500000 0.4800849
 [79,] -0.138833333 0.4783521
 [80,] -0.132166667 0.4754893
 [81,] -0.044416667 0.4691437
 [82,] -0.076305556 0.4643053
 [83,]  0.029750000 0.4537405
 [84,]  0.029750000 0.4506488
 [85,]  0.032111111 0.4495537
 [86,]  0.079888889 0.4441644
 [87,]  0.087138889 0.4436839
 [88,]  0.106694444 0.4362947
 [89,]  0.116583333 0.4349978
 [90,]  0.171583333 0.4284684
 [91,]  0.222138889 0.4248666
 [92,]  0.232361111 0.4225500
 [93,]  0.237527778 0.4188726
 [94,]  0.232305556 0.4161704
 [95,]  0.166333333 0.4105373
 [96,]  0.193000000 0.4074584
 [97,]  0.149888889 0.4046864
 [98,]  0.130833333 0.3982452
 [99,]  0.089583333 0.3882802
[100,]  0.181250000 0.3800176
[101,]  0.108305556 0.3750707
[102,]  0.116805556 0.3738228
[103,]  0.108222222 0.3725668
[104,]  0.128444444 0.3705703
[105,]  0.128444444 0.3691082
[106,]  0.152000000 0.3643185
[107,]  0.125250000 0.3622786
[108,]  0.053250000 0.3544558
[109,]  0.168305556 0.3465494
[110,]  0.153027778 0.3418301
[111,]  0.168444444 0.3386004
[112,]  0.177777778 0.3342007
[113,]  0.199750000 0.3297756
[114,]  0.158583333 0.3260857
[115,]  0.142611111 0.3243278
[116,]  0.155500000 0.3200006
[117,]  0.067750000 0.3134862
[118,]  0.080861111 0.3122867
[119,]  0.047805556 0.3082878
[120,]  0.011138889 0.3056828
> (tri <- trimean(x))
              [,1]      [,2]
  [1,]  0.59153631 0.9591192
  [2,]  0.41455056 0.9228459
  [3,]  0.27562147 0.8956495
  [4,]  0.16321023 0.8738505
  [5,]  0.09108571 0.8598082
  [6,]  0.03701149 0.8486263
  [7,] -0.01439306 0.8377254
  [8,] -0.05654070 0.8280490
  [9,] -0.09061404 0.8196087
 [10,] -0.12544118 0.8110474
 [11,] -0.15449704 0.8031345
 [12,] -0.17812500 0.7957905
 [13,] -0.17812500 0.7887421
 [14,] -0.22024096 0.7815444
 [15,] -0.23981818 0.7744641
 [16,] -0.25768293 0.7674925
 [17,] -0.27352761 0.7606169
 [18,] -0.29027778 0.7536176
 [19,] -0.30226708 0.7470603
 [20,] -0.31400000 0.7404334
 [21,] -0.32424528 0.7338340
 [22,] -0.33471519 0.7270170
 [23,] -0.34261146 0.7204255
 [24,] -0.35006410 0.7140938
 [25,] -0.35706452 0.7075802
 [26,] -0.35706452 0.7009604
 [27,] -0.36852941 0.6941917
 [28,] -0.37055921 0.6879635
 [29,] -0.37129139 0.6816998
 [30,] -0.37223333 0.6754749
 [31,] -0.37583893 0.6693424
 [32,] -0.37996622 0.6632973
 [33,] -0.38112245 0.6580513
 [34,] -0.38133562 0.6527130
 [35,] -0.38213793 0.6473166
 [36,] -0.38138889 0.6419474
 [37,] -0.38045455 0.6363785
 [38,] -0.37616197 0.6310218
 [39,] -0.37184397 0.6256524
 [40,] -0.36571429 0.6204251
 [41,] -0.35776978 0.6152576
 [42,] -0.34956522 0.6102984
 [43,] -0.34000000 0.6056462
 [44,] -0.33091912 0.6010042
 [45,] -0.32018519 0.5964657
 [46,] -0.30929104 0.5920069
 [47,] -0.29842105 0.5873961
 [48,] -0.28776515 0.5826417
 [49,] -0.28776515 0.5778190
 [50,] -0.26296154 0.5729967
 [51,] -0.24833333 0.5681305
 [52,] -0.24833333 0.5632498
 [53,] -0.22149606 0.5584690
 [54,] -0.21003968 0.5536756
 [55,] -0.19556000 0.5496510
 [56,] -0.18040323 0.5454761
 [57,] -0.16646341 0.5413900
 [58,] -0.15299180 0.5372266
 [59,] -0.13983471 0.5329272
 [60,] -0.12641667 0.5284558
 [61,] -0.10987395 0.5241447
 [62,] -0.09351695 0.5197098
 [63,] -0.09351695 0.5152735
 [64,] -0.05991379 0.5106833
 [65,] -0.04269565 0.5059774
 [66,] -0.03017544 0.5017744
 [67,] -0.01668142 0.4975968
 [68,] -0.00375000 0.4933315
 [69,]  0.01000000 0.4892374
 [70,]  0.02195455 0.4852144
 [71,]  0.03261468 0.4813432
 [72,]  0.04379630 0.4772904
 [73,]  0.05546729 0.4730644
 [74,]  0.06669811 0.4691157
 [75,]  0.08052381 0.4652630
 [76,]  0.09379808 0.4613040
 [77,]  0.10446602 0.4576144
 [78,]  0.11500000 0.4540034
 [79,]  0.12019802 0.4511260
 [80,]  0.12610000 0.4481409
 [81,]  0.13196970 0.4450933
 [82,]  0.13596939 0.4421383
 [83,]  0.14077320 0.4392058
 [84,]  0.14328125 0.4365566
 [85,]  0.14584211 0.4338663
 [86,]  0.14840426 0.4310419
 [87,]  0.14994624 0.4282709
 [88,]  0.15135870 0.4253294
 [89,]  0.15236264 0.4225265
 [90,]  0.15316667 0.4195852
 [91,]  0.15275281 0.4167426
 [92,]  0.15119318 0.4138640
 [93,]  0.14936782 0.4108853
 [94,]  0.14738372 0.4078655
 [95,]  0.14547059 0.4047536
 [96,]  0.14500000 0.4016896
 [97,]  0.14391566 0.3985462
 [98,]  0.14391566 0.3953024
 [99,]  0.14407407 0.3921395
[100,]  0.14531250 0.3892425
[101,]  0.14449367 0.3865381
[102,]  0.14532051 0.3838653
[103,]  0.14597403 0.3810316
[104,]  0.14597403 0.3780240
[105,]  0.14726667 0.3748692
[106,]  0.14770270 0.3715247
[107,]  0.14760274 0.3681649
[108,]  0.14812500 0.3646284
[109,]  0.14812500 0.3612400
[110,]  0.14992857 0.3580186
[111,]  0.14985507 0.3547833
[112,]  0.14941176 0.3514418
[113,]  0.14873134 0.3480576
[114,]  0.14750000 0.3446282
[115,]  0.14750000 0.3411034
[116,]  0.14734375 0.3373458
[117,]  0.14714286 0.3335074
[118,]  0.14911290 0.3297300
[119,]  0.15081967 0.3256471
[120,]  0.15341667 0.3214283
> (midr <- midrange(x))
[1] 31.485
> midm <- array(NA,dim=8)
> for (j in 1:8) midm[j] <- midmean(x,j)
> midm
[1] 0.09632597 0.15316667 0.09632597 0.15316667 0.15316667 0.09632597 0.15316667
[8] 0.15236264
> postscript(file="/var/www/html/rcomp/tmp/118ub1255890698.ps",horizontal=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/www/html/rcomp/tmp/2ahzf1255890698.ps",horizontal=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/www/html/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/html/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/www/html/rcomp/tmp/3y2is1255890698.tab") 
> 
> system("convert tmp/118ub1255890698.ps tmp/118ub1255890698.png")
> system("convert tmp/2ahzf1255890698.ps tmp/2ahzf1255890698.png")
> 
> 
> proc.time()
   user  system elapsed 
  2.085   0.341   2.192