R version 2.12.0 (2010-10-15)
Copyright (C) 2010 The R Foundation for Statistical Computing
ISBN 3-900051-07-0
Platform: i486-pc-linux-gnu (32-bit)

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.

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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.
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> x <- c(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
+ ,124.075
+ ,127.245
+ ,146.731
+ ,144.979
+ ,148.210
+ ,144.670
+ ,142.970
+ ,142.524
+ ,146.142
+ ,146.522
+ ,148.128
+ ,148.798
+ ,150.181
+ ,152.388
+ ,155.694
+ ,160.662
+ ,155.520
+ ,158.262
+ ,154.338
+ ,158.196
+ ,160.371
+ ,154.856
+ ,150.636
+ ,145.899
+ ,141.242
+ ,140.834
+ ,141.119
+ ,139.104
+ ,134.437
+ ,129.425
+ ,123.155
+ ,119.273
+ ,120.472
+ ,121.523
+ ,121.983
+ ,123.658
+ ,124.794
+ ,124.827
+ ,120.382
+ ,117.395
+ ,115.790
+ ,114.283
+ ,117.271
+ ,117.448
+ ,118.764
+ ,120.550
+ ,123.554
+ ,125.412
+ ,124.182
+ ,119.828
+ ,115.361
+ ,114.226
+ ,115.214
+ ,115.864
+ ,114.276
+ ,113.469
+ ,114.883
+ ,114.172
+ ,111.225
+ ,112.149
+ ,115.618
+ ,118.002
+ ,121.382
+ ,120.663
+ ,128.049)
> par1 = '4'
> #'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!)
> par1 <- as.numeric(par1)
> (n <- length(x))
[1] 179
> (np <- floor(n / par1))
[1] 44
> arr <- array(NA,dim=c(par1,np))
> j <- 0
> k <- 1
> for (i in 1:(np*par1))
+ {
+ j = j + 1
+ arr[j,k] <- x[i]
+ if (j == par1) {
+ j = 0
+ k=k+1
+ }
+ }
> arr
        [,1]    [,2]    [,3]    [,4]    [,5]    [,6]    [,7]    [,8]    [,9]
[1,] 131.676 139.762 152.170 135.027 119.610 131.416 131.837 145.074 145.568
[2,] 135.050 142.917 136.022 132.911 118.106 134.248 125.955 149.812 155.564
[3,] 129.070 144.198 138.142 133.976 120.383 134.397 134.187 144.668 155.872
[4,] 137.792 142.648 138.135 137.012 133.185 127.728 143.291 147.253 156.323
       [,10]   [,11]   [,12]   [,13]   [,14]   [,15]   [,16]   [,17]   [,18]
[1,] 158.010 162.938 172.552 171.283 175.339 173.990 176.199 180.605 190.108
[2,] 155.598 157.283 174.055 173.322 173.511 174.777 180.952 182.497 193.288
[3,] 154.785 166.074 175.409 170.717 175.839 174.819 176.663 187.856 193.230
[4,] 157.294 169.282 173.696 174.229 173.816 176.726 182.346 190.020 199.068
       [,19]   [,20]   [,21]   [,22]   [,23]   [,24]   [,25]   [,26]   [,27]
[1,] 195.076 185.508 175.768 156.389  85.056 152.779 148.840 150.271 131.736
[2,] 191.563 184.371 171.029 124.291 128.236 156.005 144.211 147.489 126.304
[3,] 191.067 183.046 170.465  99.360 164.257 153.387 145.953 143.824 125.511
[4,] 186.665 175.714 170.102  86.675 162.401 153.190 145.542 134.754 125.495
       [,28]   [,29]   [,30]   [,31]   [,32]   [,33]   [,34]   [,35]   [,36]
[1,] 130.133 105.749 146.731 142.970 148.128 155.694 154.338 150.636 141.119
[2,] 126.257 120.665 144.979 142.524 148.798 160.662 158.196 145.899 139.104
[3,] 110.323 124.075 148.210 146.142 150.181 155.520 160.371 141.242 134.437
[4,]  98.417 127.245 144.670 146.522 152.388 158.262 154.856 140.834 129.425
       [,37]   [,38]   [,39]   [,40]   [,41]   [,42]   [,43]   [,44]
[1,] 123.155 121.983 120.382 117.271 123.554 115.361 114.276 111.225
[2,] 119.273 123.658 117.395 117.448 125.412 114.226 113.469 112.149
[3,] 120.472 124.794 115.790 118.764 124.182 115.214 114.883 115.618
[4,] 121.523 124.827 114.283 120.550 119.828 115.864 114.172 118.002
> arr.mean <- array(NA,dim=np)
> arr.sd <- array(NA,dim=np)
> arr.range <- array(NA,dim=np)
> for (j in 1:np)
+ {
+ arr.mean[j] <- mean(arr[,j],na.rm=TRUE)
+ arr.sd[j] <- sd(arr[,j],na.rm=TRUE)
+ arr.range[j] <- max(arr[,j],na.rm=TRUE) - min(arr[,j],na.rm=TRUE)
+ }
> arr.mean
 [1] 133.3970 142.3812 141.1172 134.7315 122.8210 131.9472 133.8175 146.7018
 [9] 153.3317 156.4218 163.8942 173.9280 172.3878 174.6262 175.0780 179.0400
[17] 185.2445 193.9235 191.0927 182.1598 171.8410 116.6788 134.9875 153.8402
[25] 146.1365 144.0845 127.2615 116.2825 119.4335 146.1475 144.5395 149.8738
[33] 157.5345 156.9402 144.6527 136.0213 121.1058 123.8155 116.9625 118.5083
[41] 123.2440 115.1663 114.2000 114.2485
> arr.sd
 [1]  3.8180800  1.8725415  7.4357421  1.7486186  6.9737146  3.1293781
 [7]  7.2024306  2.3638416  5.1852098  1.4878253  5.1121490  1.1770995
[13]  1.6608133  1.1371108  1.1629460  3.0717416  4.4233867  3.7375894
[19]  3.4493018  4.4133712  2.6456360 30.7409305 37.1794794  1.4652252
[25]  1.9496636  6.7574525  3.0068105 14.6744532  9.5104361  1.6475008
[31]  2.0835773  1.8815540  2.4328422  2.8555651  4.6032049  5.2125095
[37]  1.6466263  1.3370935  2.6098859  1.5153733  2.4045252  0.6858408
[43]  0.5794854  3.1365451
> arr.range
 [1]  8.722  4.436 16.148  4.101 15.079  6.669 17.336  5.144 10.755  3.225
[11] 11.999  2.857  3.512  2.328  2.736  6.147  9.415  8.960  8.411  9.794
[21]  5.666 69.714 79.201  3.226  4.629 15.517  6.241 31.716 21.496  3.540
[31]  3.998  4.260  5.142  6.033  9.802 11.694  3.882  2.844  6.099  3.279
[41]  5.584  1.638  1.414  6.777
> (lm1 <- lm(arr.sd~arr.mean))

Call:
lm(formula = arr.sd ~ arr.mean)

Coefficients:
(Intercept)     arr.mean  
    14.8392      -0.0687  

> (lnlm1 <- lm(log(arr.sd)~log(arr.mean)))

Call:
lm(formula = log(arr.sd) ~ log(arr.mean))

Coefficients:
  (Intercept)  log(arr.mean)  
       4.6092        -0.7037  

> (lm2 <- lm(arr.range~arr.mean))

Call:
lm(formula = arr.range ~ arr.mean)

Coefficients:
(Intercept)     arr.mean  
    32.8170      -0.1520  

> postscript(file="/var/www/rcomp/tmp/1eh911305058672.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> plot(arr.mean,arr.sd,main='Standard Deviation-Mean Plot',xlab='mean',ylab='standard deviation')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/23oey1305058672.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> plot(arr.mean,arr.range,main='Range-Mean Plot',xlab='mean',ylab='range')
> dev.off()
null device 
          1 
> 
> #Note: the /var/www/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/rcomp/createtable")
> 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Standard Deviation-Mean Plot',4,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Section',header=TRUE)
> a<-table.element(a,'Mean',header=TRUE)
> a<-table.element(a,'Standard Deviation',header=TRUE)
> a<-table.element(a,'Range',header=TRUE)
> a<-table.row.end(a)
> for (j in 1:np) {
+ a<-table.row.start(a)
+ a<-table.element(a,j,header=TRUE)
+ a<-table.element(a,arr.mean[j])
+ a<-table.element(a,arr.sd[j] )
+ a<-table.element(a,arr.range[j] )
+ a<-table.row.end(a)
+ }
> a<-table.end(a)
> table.save(a,file="/var/www/rcomp/tmp/32fkj1305058672.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: S.E.(k) = alpha + beta * Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lm1$coefficients[[1]])
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'beta',header=TRUE)
> a<-table.element(a,lm1$coefficients[[2]])
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'S.D.',header=TRUE)
> a<-table.element(a,summary(lm1)$coefficients[2,2])
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'T-STAT',header=TRUE)
> a<-table.element(a,summary(lm1)$coefficients[2,3])
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'p-value',header=TRUE)
> a<-table.element(a,summary(lm1)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/rcomp/tmp/4ldvo1305058672.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$coefficients[[1]])
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'beta',header=TRUE)
> a<-table.element(a,lnlm1$coefficients[[2]])
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'S.D.',header=TRUE)
> a<-table.element(a,summary(lnlm1)$coefficients[2,2])
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'T-STAT',header=TRUE)
> a<-table.element(a,summary(lnlm1)$coefficients[2,3])
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'p-value',header=TRUE)
> a<-table.element(a,summary(lnlm1)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Lambda',header=TRUE)
> a<-table.element(a,1-lnlm1$coefficients[[2]])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/rcomp/tmp/59ddp1305058672.tab") 
> 
> try(system("convert tmp/1eh911305058672.ps tmp/1eh911305058672.png",intern=TRUE))
character(0)
> try(system("convert tmp/23oey1305058672.ps tmp/23oey1305058672.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  0.630   0.420   1.021