R version 2.6.2 (2008-02-08)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> x <- c(23.11,18.64,14.94,16.90,15.46,11.15,13.13,12.48,12.95,12.59,10.58,10.58,12.39,15.53,13.06,10.22,16.33,19.72,21.31,18.84,24.84,15.67,15.57,12.73,13.56,15.54,17.22,12.14,11.07,12.02,11.55,6.92,10.33,8.38,12.11,11.46,12.75,13.32,13.00,11.90,11.79,12.55,11.84,11.25,11.15,10.99,11.70,14.01,17.51,17.27,16.90,15.79,15.45,16.24,16.71,16.77,16.64,17.80,16.87,16.13,15.76,15.66,15.54,15.30,15.05,14.69,14.39,14.18,13.70,13.66,13.27,13.56,13.14,14.19,22.57,23.09,23.31,22.91,22.36,43.06,64.67,64.68,56.90,48.79,45.21,41.40,22.17,25.52,20.28,22.87,27.63,22.95,21.35,18.38,17.15,18.27,19.40,20.52)
> 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] 98
> (np <- floor(n / par1))
[1] 24
> 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] [,10] [,11] [,12]
[1,] 23.11 15.46 12.95 12.39 16.33 24.84 13.56 11.07 10.33 12.75 11.79 11.15
[2,] 18.64 11.15 12.59 15.53 19.72 15.67 15.54 12.02  8.38 13.32 12.55 10.99
[3,] 14.94 13.13 10.58 13.06 21.31 15.57 17.22 11.55 12.11 13.00 11.84 11.70
[4,] 16.90 12.48 10.58 10.22 18.84 12.73 12.14  6.92 11.46 11.90 11.25 14.01
     [,13] [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24]
[1,] 17.51 15.45 16.64 15.76 15.05 13.70 13.14 23.31 64.67 45.21 20.28 21.35
[2,] 17.27 16.24 17.80 15.66 14.69 13.66 14.19 22.91 64.68 41.40 22.87 18.38
[3,] 16.90 16.71 16.87 15.54 14.39 13.27 22.57 22.36 56.90 22.17 27.63 17.15
[4,] 15.79 16.77 16.13 15.30 14.18 13.56 23.09 43.06 48.79 25.52 22.95 18.27
> 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] 18.3975 13.0550 11.6750 12.8000 19.0500 17.2025 14.6150 10.3900 10.5700
[10] 12.7425 11.8575 11.9625 16.8675 16.2925 16.8600 15.5650 14.5775 13.5475
[19] 18.2475 27.9100 58.7600 33.5750 23.4325 18.7875
> arr.sd
 [1]  3.4863197  1.8027109  1.2729101  2.1867022  2.0815859  5.2709352
 [7]  2.2271282  2.3456200  1.6347681  0.6081872  0.5333776  1.3984605
[13]  0.7608931  0.6096105  0.6988085  0.1982423  0.3781865  0.1941434
[19]  5.3129927 10.1075055  7.5902350 11.4245481  3.0608536  1.7964479
> arr.range
 [1]  8.17  4.31  2.37  5.31  4.98 12.11  5.08  5.10  3.73  1.42  1.30  3.02
[13]  1.72  1.32  1.67  0.46  0.87  0.43  9.95 20.70 15.89 23.04  7.35  4.20
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
    -1.0381       0.2095  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
       -4.220          1.669  

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

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

Coefficients:
(Intercept)     arr.mean  
    -1.7870       0.4271  

> postscript(file="/var/www/html/rcomp/tmp/18bce1211107242.ps",horizontal=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/html/rcomp/tmp/2semu1211107242.ps",horizontal=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/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,'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/html/rcomp/tmp/3ix8n1211107243.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/rcomp/tmp/4yp6f1211107243.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/html/rcomp/tmp/5y7uc1211107243.tab") 
> 
> system("convert tmp/18bce1211107242.ps tmp/18bce1211107242.png")
> system("convert tmp/2semu1211107242.ps tmp/2semu1211107242.png")
> 
> 
> proc.time()
   user  system elapsed 
  1.445   0.463   1.535