R version 2.6.2 (2008-02-08)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

  Natural language support but running in an English locale

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> x <- c(66.2,66.2,66.08,66.31,66.39,66.37,66.23,66.27,66.27,66.27,66.28,66.28,66.28,66.26,66.13,65.86,65.9,65.94,65.94,65.91,65.95,65.91,66.08,66.47,66.47,66.56,66.78,67.08,67.28,67.27,67.27,67.26,67.37,67.5,67.63,67.64,67.64,67.71,67.87,67.93,68.33,68.39,68.39,68.58,68.44,68.49,68.52,68.54,68.54,68.54,68.62,68.75,68.71,68.72,68.72,68.72,68.92,68.9,69.12,69.09,69.09,69.1,69.16,68.83,68.52,68.53,68.53,68.51,68.38,68.44,68.41,68.42,68.42,68.45,68.63,68.84,68.72,68.37,68.37,68.47,68.69,68.46,68.17,68.17)
> 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]
[1,] 66.20 66.39 66.27 66.28 65.90 65.95 66.47 67.28 67.37 67.64 68.33 68.44
[2,] 66.20 66.37 66.27 66.26 65.94 65.91 66.56 67.27 67.50 67.71 68.39 68.49
[3,] 66.08 66.23 66.28 66.13 65.94 66.08 66.78 67.27 67.63 67.87 68.39 68.52
[4,] 66.31 66.27 66.28 65.86 65.91 66.47 67.08 67.26 67.64 67.93 68.58 68.54
     [,13] [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21]
[1,] 68.54 68.71 68.92 69.09 68.52 68.38 68.42 68.72 68.69
[2,] 68.54 68.72 68.90 69.10 68.53 68.44 68.45 68.37 68.46
[3,] 68.62 68.72 69.12 69.16 68.53 68.41 68.63 68.37 68.17
[4,] 68.75 68.72 69.09 68.83 68.51 68.42 68.84 68.47 68.17
> 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] 66.1975 66.3150 66.2750 66.1325 65.9225 66.1025 66.7225 67.2700 67.5350
[10] 67.7875 68.4225 68.4975 68.6125 68.7175 69.0075 69.0450 68.5225 68.4125
[19] 68.5850 68.4825 68.3725
> arr.sd
 [1] 0.093941471 0.077244202 0.005773503 0.193455421 0.020615528 0.255522341
 [7] 0.271584855 0.008164966 0.127148207 0.135246688 0.108742816 0.043493295
[13] 0.099121138 0.005000000 0.113541476 0.146628783 0.009574271 0.025000000
[19] 0.193649167 0.165201897 0.251975528
> arr.range
 [1] 0.23 0.16 0.01 0.42 0.04 0.56 0.61 0.02 0.27 0.29 0.25 0.10 0.21 0.01 0.22
[16] 0.33 0.02 0.06 0.42 0.35 0.52
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
   0.508147    -0.005856  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
      -5.5717         0.6739  

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

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

Coefficients:
(Intercept)     arr.mean  
    1.31095     -0.01579  

> postscript(file="/var/www/html/rcomp/tmp/1qucj1210873208.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/2w7gf1210873208.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/3aton1210873208.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/rcomp/tmp/42dvs1210873208.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/5kb1g1210873208.tab") 
> 
> system("convert tmp/1qucj1210873208.ps tmp/1qucj1210873208.png")
> system("convert tmp/2w7gf1210873208.ps tmp/2w7gf1210873208.png")
> 
> 
> proc.time()
   user  system elapsed 
  1.451   0.464   1.535