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(1.54,1.55,1.53,1.55,1.55,1.53,1.54,1.54,1.54,1.53,1.53,1.53,1.54,1.53,1.53,1.54,1.55,1.53,1.53,1.53,1.53,1.52,1.54,1.53,1.52,1.54,1.53,1.54,1.54,1.53,1.54,1.54,1.52,1.52,1.57,1.6,1.59,1.6,1.6,1.62,1.61,1.61,1.62,1.61,1.62,1.61,1.62,1.61,1.61,1.58,1.57,1.57,1.66,1.66,1.67,1.68,1.66,1.66,1.64,1.61,1.58,1.57,1.54,1.61,1.65,1.6,1.57,1.56,1.55,1.54,1.51,1.5,1.5,1.49,1.47,1.47,1.49,1.49,1.49,1.51,1.49,1.48,1.46,1.46,1.45,1.45,1.44,1.47,1.47,1.45,1.43,1.44,1.38,1.4,1.37,1.41)
> 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,] 1.54 1.54 1.52 1.59 1.61 1.58 1.50 1.45
 [2,] 1.55 1.53 1.54 1.60 1.58 1.57 1.49 1.45
 [3,] 1.53 1.53 1.53 1.60 1.57 1.54 1.47 1.44
 [4,] 1.55 1.54 1.54 1.62 1.57 1.61 1.47 1.47
 [5,] 1.55 1.55 1.54 1.61 1.66 1.65 1.49 1.47
 [6,] 1.53 1.53 1.53 1.61 1.66 1.60 1.49 1.45
 [7,] 1.54 1.53 1.54 1.62 1.67 1.57 1.49 1.43
 [8,] 1.54 1.53 1.54 1.61 1.68 1.56 1.51 1.44
 [9,] 1.54 1.53 1.52 1.62 1.66 1.55 1.49 1.38
[10,] 1.53 1.52 1.52 1.61 1.66 1.54 1.48 1.40
[11,] 1.53 1.54 1.57 1.62 1.64 1.51 1.46 1.37
[12,] 1.53 1.53 1.60 1.61 1.61 1.50 1.46 1.41
> 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] 1.538333 1.533333 1.540833 1.610000 1.630833 1.565000 1.483333 1.430000
> arr.sd
[1] 0.008348471 0.007784989 0.023143164 0.009534626 0.040778411 0.042103768
[7] 0.015569979 0.033028913
> arr.range
[1] 0.02 0.03 0.08 0.03 0.11 0.15 0.05 0.10
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
   -0.00918      0.02058  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
      -3.9075        -0.2142  

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

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

Coefficients:
(Intercept)     arr.mean  
    0.01776      0.03470  

> postscript(file="/var/www/html/rcomp/tmp/16i971242472117.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/2i7dy1242472117.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/3i4w01242472117.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/rcomp/tmp/493o71242472117.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/5nvhq1242472118.tab") 
> 
> system("convert tmp/16i971242472117.ps tmp/16i971242472117.png")
> system("convert tmp/2i7dy1242472117.ps tmp/2i7dy1242472117.png")
> 
> 
> proc.time()
   user  system elapsed 
  0.499   0.282   0.644