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(5.44,5.44,5.44,5.44,5.44,5.49,5.49,5.49,5.49,5.49,5.49,5.60,5.60,5.60,5.60,5.60,5.60,5.60,5.67,5.67,5.67,5.67,5.67,5.67,5.67,5.67,5.67,5.82,5.82,5.95,5.95,5.95,5.95,5.95,5.95,6.02,6.02,6.05,6.05,6.05,6.12,6.12,6.12,6.12,6.12,6.12,6.12,6.12,6.17,6.17,6.17,6.17,6.17,6.28,6.27,6.28,6.28,6.27,6.27,6.28,6.59,6.59,6.59,6.59,6.59,6.63,6.63,6.63,6.63,6.63,6.63,6.63,6.63,6.63,6.63,6.63,6.63,6.63,6.63,6.63,6.63,6.63,6.79,6.79,6.79,6.81,6.80,6.80,6.85,6.85,6.85,6.85,6.85,6.85,6.86,6.86,6.88,6.88,6.88,6.91,6.91,6.91,6.91,6.99,6.99,6.99,7.02,7.02,7.05,7.05,7.05,7.05,7.10,7.10,7.10,7.10,7.12,7.13,7.18)
> 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] 119
> (np <- floor(n / par1))
[1] 9
> 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,] 5.44 5.60 5.67 6.02 6.17 6.59 6.63 6.79 6.88
 [2,] 5.44 5.60 5.67 6.05 6.17 6.59 6.63 6.81 6.88
 [3,] 5.44 5.60 5.67 6.05 6.17 6.59 6.63 6.80 6.88
 [4,] 5.44 5.60 5.82 6.05 6.17 6.59 6.63 6.80 6.91
 [5,] 5.44 5.60 5.82 6.12 6.17 6.59 6.63 6.85 6.91
 [6,] 5.49 5.60 5.95 6.12 6.28 6.63 6.63 6.85 6.91
 [7,] 5.49 5.67 5.95 6.12 6.27 6.63 6.63 6.85 6.91
 [8,] 5.49 5.67 5.95 6.12 6.28 6.63 6.63 6.85 6.99
 [9,] 5.49 5.67 5.95 6.12 6.28 6.63 6.63 6.85 6.99
[10,] 5.49 5.67 5.95 6.12 6.27 6.63 6.63 6.85 6.99
[11,] 5.49 5.67 5.95 6.12 6.27 6.63 6.79 6.86 7.02
[12,] 5.60 5.67 6.02 6.12 6.28 6.63 6.79 6.86 7.02
> 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] 5.478333 5.635000 5.864167 6.094167 6.231667 6.613333 6.656667 6.835000
[9] 6.940833
> arr.sd
[1] 0.04569331 0.03655631 0.12985715 0.03895413 0.05457827 0.02059715 0.06227992
[8] 0.02645751 0.05615860
> arr.range
[1] 0.16 0.07 0.35 0.10 0.11 0.04 0.16 0.07 0.14
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
    0.14371     -0.01459  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
      -0.2051        -1.5725  

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

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

Coefficients:
(Intercept)     arr.mean  
    0.45182     -0.05087  

> postscript(file="/var/www/html/rcomp/tmp/1s7vp1244290707.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/2clx41244290708.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/3x6cd1244290708.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/rcomp/tmp/4zz7z1244290708.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/58dsq1244290708.tab") 
> 
> system("convert tmp/1s7vp1244290707.ps tmp/1s7vp1244290707.png")
> system("convert tmp/2clx41244290708.ps tmp/2clx41244290708.png")
> 
> 
> proc.time()
   user  system elapsed 
  0.493   0.277   0.615