R version 2.13.0 (2011-04-13)
Copyright (C) 2011 The R Foundation for Statistical Computing
ISBN 3-900051-07-0
Platform: i486-pc-linux-gnu (32-bit)

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> x <- c(8.29,8.27,8.27,8.43,8.46,8.48,8.46,8.46,8.43,8.4,8.38,8.3,8.39,8.53,8.52,8.54,8.62,8.52,8.49,8.44,8.31,8.26,8.21,8.03,7.89,7.83,7.85,7.84,7.88,8.01,8.08,8.11,8.11,8.07,8.06,7.95,7.95,8.07,8.17,8.21,8.2,8.19,8.18,8.16,8.17,8.17,8.19,8.01,8.04,8.13,8.14,8.17,8.25,8.27,8.27,8.26,8.24,8.21,8.25,8.06,8.16,8.32,8.43,8.39,8.41,8.45,8.43,8.52,8.52,8.51,8.56,8.36,8.4,8.44,8.5,8.31,8.38,8.45,8.42,8.46,8.45,8.32,8.4,8.18)
> par1 = '4'
> #'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] 84
> (np <- floor(n / par1))
[1] 21
> 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] [,10] [,11] [,12] [,13] [,14]
[1,] 8.29 8.46 8.43 8.39 8.62 8.31 7.89 7.88 8.11  7.95  8.20  8.17  8.04  8.25
[2,] 8.27 8.48 8.40 8.53 8.52 8.26 7.83 8.01 8.07  8.07  8.19  8.17  8.13  8.27
[3,] 8.27 8.46 8.38 8.52 8.49 8.21 7.85 8.08 8.06  8.17  8.18  8.19  8.14  8.27
[4,] 8.43 8.46 8.30 8.54 8.44 8.03 7.84 8.11 7.95  8.21  8.16  8.01  8.17  8.26
     [,15] [,16] [,17] [,18] [,19] [,20] [,21]
[1,]  8.24  8.16  8.41  8.52  8.40  8.38  8.45
[2,]  8.21  8.32  8.45  8.51  8.44  8.45  8.32
[3,]  8.25  8.43  8.43  8.56  8.50  8.42  8.40
[4,]  8.06  8.39  8.52  8.36  8.31  8.46  8.18
> 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] 8.3150 8.4650 8.3775 8.4950 8.5175 8.2025 7.8525 8.0200 8.0475 8.1000
[11] 8.1825 8.1350 8.1200 8.2625 8.1900 8.3250 8.4525 8.4875 8.4125 8.4275
[21] 8.3375
> arr.sd
 [1] 0.077244202 0.010000000 0.055602758 0.070474582 0.075883683 0.122031417
 [7] 0.026299556 0.102306728 0.068495742 0.116045968 0.017078251 0.083864971
[13] 0.055976185 0.009574271 0.088317609 0.119023807 0.047871355 0.087702147
[19] 0.079739158 0.035939764 0.117862915
> arr.range
 [1] 0.16 0.02 0.13 0.15 0.18 0.28 0.06 0.23 0.16 0.26 0.04 0.18 0.13 0.02 0.19
[16] 0.27 0.11 0.20 0.19 0.08 0.27
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
   0.150921    -0.009797  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
      -0.8159        -0.9717  

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

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

Coefficients:
(Intercept)     arr.mean  
    0.31622     -0.01917  

> postscript(file="/var/wessaorg/rcomp/tmp/1kfzn1322648958.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/2jlyb1322648958.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/3c55k1322648958.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/wessaorg/rcomp/tmp/491ef1322648958.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/5tfw41322648958.tab") 
> 
> try(system("convert tmp/1kfzn1322648958.ps tmp/1kfzn1322648958.png",intern=TRUE))
character(0)
> try(system("convert tmp/2jlyb1322648958.ps tmp/2jlyb1322648958.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  0.764   0.107   0.896