R version 2.8.0 (2008-10-20)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> x <- c(4.56,4.41,4.33,4.20,4.25,4.25,4.19,4.17,4.21,4.21,4.17,4.16,4.19,4.08,4.06,3.98,3.82,3.82,3.72,3.56,3.57,3.49,3.32,3.23,3.04,3.00,2.82,2.73,2.59,2.58,2.53,2.31,2.31,2.30,2.07,2.07,2.06,2.06,2.05,2.05,2.05,2.05,2.05,2.06,2.07,2.08,2.05,2.03,2.02,2.02,2.01,2.01,2.01,2.01,2.01,2.01,2.03,2.04,2.03,2.05,2.08,2.06,2.09,2.19,2.56,2.54,2.63,2.78,2.84,3.02,3.28,3.29,3.29,3.29,3.32,3.34,3.32,3.30,3.30,3.30,3.31,3.35,3.48,3.76,4.06,4.51,4.52,4.53,4.63,4.79,4.77,4.77,4.77,4.81,4.83,4.76,4.61)
> 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] 97
> (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,] 4.56 4.19 3.04 2.06 2.02 2.08 3.29 4.06
 [2,] 4.41 4.08 3.00 2.06 2.02 2.06 3.29 4.51
 [3,] 4.33 4.06 2.82 2.05 2.01 2.09 3.32 4.52
 [4,] 4.20 3.98 2.73 2.05 2.01 2.19 3.34 4.53
 [5,] 4.25 3.82 2.59 2.05 2.01 2.56 3.32 4.63
 [6,] 4.25 3.82 2.58 2.05 2.01 2.54 3.30 4.79
 [7,] 4.19 3.72 2.53 2.05 2.01 2.63 3.30 4.77
 [8,] 4.17 3.56 2.31 2.06 2.01 2.78 3.30 4.77
 [9,] 4.21 3.57 2.31 2.07 2.03 2.84 3.31 4.77
[10,] 4.21 3.49 2.30 2.08 2.04 3.02 3.35 4.81
[11,] 4.17 3.32 2.07 2.05 2.03 3.28 3.48 4.83
[12,] 4.16 3.23 2.07 2.03 2.05 3.29 3.76 4.76
> 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] 4.259167 3.736667 2.529167 2.055000 2.020833 2.613333 3.363333 4.645833
> arr.sd
[1] 0.11957944 0.30917289 0.32809251 0.01243163 0.01378954 0.44711872 0.13519907
[8] 0.21993629
> arr.range
[1] 0.40 0.96 0.97 0.05 0.04 1.23 0.47 0.77
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
    0.11067      0.02775  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
       -4.996          2.556  

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

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

Coefficients:
(Intercept)     arr.mean  
     0.2141       0.1260  

> postscript(file="/var/www/html/rcomp/tmp/16jon1228247620.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/2whpo1228247620.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/3vz6v1228247620.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/rcomp/tmp/4s4kw1228247620.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/516o41228247620.tab") 
> 
> system("convert tmp/16jon1228247620.ps tmp/16jon1228247620.png")
> system("convert tmp/2whpo1228247620.ps tmp/2whpo1228247620.png")
> 
> 
> proc.time()
   user  system elapsed 
  0.536   0.291   0.847