R version 3.0.2 (2013-09-25) -- "Frisbee Sailing"
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> x <- c(8.09,8.18,8.26,8.28,8.28,8.28,8.29,8.3,8.3,8.31,8.33,8.33,8.34,8.48,8.59,8.67,8.67,8.67,8.71,8.72,8.72,8.72,8.74,8.74,8.74,8.74,8.79,8.85,8.86,8.87,8.92,8.96,8.97,8.99,8.98,8.98,9.01,9.01,9.03,9.05,9.05,9.05,9.13,9.13,9.13,9.14,9.16,9.16,9.16,9.16,9.22,9.22,9.25,9.25,9.26,9.26,9.29,9.28,9.37,9.41,9.41,9.45,9.49,9.49,9.56,9.54,9.55,9.55,9.57,9.57,9.58,9.59,9.59,9.59,9.61,9.61,9.62,9.62,9.63,9.65,9.65,9.68,9.73,9.73,9.73,9.74,9.68,9.68,9.74,9.74,9.76,9.78,9.79,9.81,9.84,9.84)
> par1 = '12'
> par1 <- '12'
> #'GNU S' R Code compiled by R2WASP v. 1.2.291 ()
> #Author: root
> #To cite this work: Wessa P. (2012), Standard Deviation-Mean Plot (v1.0.6) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_smp.wasp/
> #Source of accompanying publication: Office for Research, Development, and Education
> #
> par1 <- as.numeric(par1)
> (n <- length(x))
[1] 96
> (np <- floor(n / par1))
[1] 8
> 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]
 [1,] 8.09 8.34 8.74 9.01 9.16 9.41 9.59 9.73
 [2,] 8.18 8.48 8.74 9.01 9.16 9.45 9.59 9.74
 [3,] 8.26 8.59 8.79 9.03 9.22 9.49 9.61 9.68
 [4,] 8.28 8.67 8.85 9.05 9.22 9.49 9.61 9.68
 [5,] 8.28 8.67 8.86 9.05 9.25 9.56 9.62 9.74
 [6,] 8.28 8.67 8.87 9.05 9.25 9.54 9.62 9.74
 [7,] 8.29 8.71 8.92 9.13 9.26 9.55 9.63 9.76
 [8,] 8.30 8.72 8.96 9.13 9.26 9.55 9.65 9.78
 [9,] 8.30 8.72 8.97 9.13 9.29 9.57 9.65 9.79
[10,] 8.31 8.72 8.99 9.14 9.28 9.57 9.68 9.81
[11,] 8.33 8.74 8.98 9.16 9.37 9.58 9.73 9.84
[12,] 8.33 8.74 8.98 9.16 9.41 9.59 9.73 9.84
> 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] 8.269167 8.647500 8.887500 9.087500 9.260833 9.529167 9.642500 9.760833
> arr.sd
[1] 0.06868351 0.12218652 0.09352929 0.05894913 0.07341765 0.05648143 0.04826536
[8] 0.05350588
> arr.range
[1] 0.24 0.40 0.25 0.15 0.25 0.18 0.14 0.16
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
    0.34459     -0.02985  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
        5.236         -3.580  

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

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

Coefficients:
(Intercept)     arr.mean  
     1.1943      -0.1065  

> postscript(file="/var/wessaorg/rcomp/tmp/1jz7l1426069078.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/wessaorg/rcomp/tmp/2rn9x1426069078.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/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/wessaorg/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/wessaorg/rcomp/tmp/3gsom1426069078.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/wessaorg/rcomp/tmp/4xldr1426069078.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/wessaorg/rcomp/tmp/57qaf1426069078.tab") 
> 
> try(system("convert tmp/1jz7l1426069078.ps tmp/1jz7l1426069078.png",intern=TRUE))
character(0)
> try(system("convert tmp/2rn9x1426069078.ps tmp/2rn9x1426069078.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  0.892   0.192   1.093