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

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> x <- c(8.55,8.56,8.57,8.59,8.61,8.62,8.62,8.63,8.71,8.72,8.74,8.75,8.79,8.82,8.82,8.84,8.86,8.86,8.85,8.86,8.86,8.87,8.88,8.9,8.91,8.96,8.98,8.99,9,9,9,9.01,9.01,8.99,8.99,8.99,9,9,9.02,9.05,9.05,9.05,9.06,9.06,9.08,9.07,9.06,9.08,9.07,9.11,9.15,9.15,9.17,9.2,9.23,9.26,9.27,9.28,9.29,9.29,9.11,9.06,9.11,9.13,9.13,9.19,9.2,9.23,9.24,9.28,9.32,9.32,9.32,9.36,9.37,9.38,9.41,9.44,9.44,9.44,9.47,9.48,9.56,9.58,9.56,9.58,9.7,9.74,9.76,9.78,9.84,9.88,9.96,9.97,9.96,9.96)
> par1 = '12'
> #'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] 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,] 8.55 8.79 8.91 9.00 9.07 9.11 9.32 9.56
 [2,] 8.56 8.82 8.96 9.00 9.11 9.06 9.36 9.58
 [3,] 8.57 8.82 8.98 9.02 9.15 9.11 9.37 9.70
 [4,] 8.59 8.84 8.99 9.05 9.15 9.13 9.38 9.74
 [5,] 8.61 8.86 9.00 9.05 9.17 9.13 9.41 9.76
 [6,] 8.62 8.86 9.00 9.05 9.20 9.19 9.44 9.78
 [7,] 8.62 8.85 9.00 9.06 9.23 9.20 9.44 9.84
 [8,] 8.63 8.86 9.01 9.06 9.26 9.23 9.44 9.88
 [9,] 8.71 8.86 9.01 9.08 9.27 9.24 9.47 9.96
[10,] 8.72 8.87 8.99 9.07 9.28 9.28 9.48 9.97
[11,] 8.74 8.88 8.99 9.06 9.29 9.32 9.56 9.96
[12,] 8.75 8.90 8.99 9.08 9.29 9.32 9.58 9.96
> 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] 8.639167 8.850833 8.985833 9.048333 9.205833 9.193333 9.437500 9.807500
> arr.sd
[1] 0.07204271 0.02968267 0.02745520 0.02757909 0.07537281 0.08679478 0.07782556
[8] 0.14604638
> arr.range
[1] 0.20 0.11 0.10 0.08 0.22 0.26 0.26 0.41
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
   -0.69326      0.08322  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
       -25.29          10.14  

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

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

Coefficients:
(Intercept)     arr.mean  
    -1.9591       0.2366  

> postscript(file="/var/www/html/rcomp/tmp/1swwr1262177088.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/2avm31262177088.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/38tsx1262177088.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/rcomp/tmp/4fzye1262177088.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/5nuax1262177088.tab") 
> 
> try(system("convert tmp/1swwr1262177088.ps tmp/1swwr1262177088.png",intern=TRUE))
character(0)
> try(system("convert tmp/2avm31262177088.ps tmp/2avm31262177088.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  0.501   0.283   0.641