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(106.61,107.86,108.07,109.68,108.57,108.08,109.8,110.7,110.72,109.85,109.71,110,110.87,111.16,110.63,110.26,110.79,111.75,111.75,112.31,112.29,111.86,111.22,112.42,111.94,112.77,113.99,114.22,112.38,114.98,115.94,117.63,117.76,118.11,120.88,121.87,122.34,122.42,122.17,121.99,124.96,125.94,126.59,127.11,125.44,125.53,125.35,124.3,123.62,124,124.47,126.89,124.87,124.55,125.31,126.02,125.31,125.3,123.83,124.49,124.92,125.77,127.27,127.35,126.05,126.84,127.75,126.78,126.98,127.89,127.9,128.06,125.39,128.13,127.97,127.56,126.89,127.8,128.05,128.98,128.55,129.35,129.97,130.89,129.8,132.32,131.1,131.44,132.55,133.35,132.53,131.11,130.02,128.91,129.98,130.91)
> 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] 96
> (np <- floor(n / par1))
[1] 24
> 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]
[1,] 106.61 108.57 110.72 110.87 110.79 112.29 111.94 112.38 117.76 122.34
[2,] 107.86 108.08 109.85 111.16 111.75 111.86 112.77 114.98 118.11 122.42
[3,] 108.07 109.80 109.71 110.63 111.75 111.22 113.99 115.94 120.88 122.17
[4,] 109.68 110.70 110.00 110.26 112.31 112.42 114.22 117.63 121.87 121.99
      [,11]  [,12]  [,13]  [,14]  [,15]  [,16]  [,17]  [,18]  [,19]  [,20]
[1,] 124.96 125.44 123.62 124.87 125.31 124.92 126.05 126.98 125.39 126.89
[2,] 125.94 125.53 124.00 124.55 125.30 125.77 126.84 127.89 128.13 127.80
[3,] 126.59 125.35 124.47 125.31 123.83 127.27 127.75 127.90 127.97 128.05
[4,] 127.11 124.30 126.89 126.02 124.49 127.35 126.78 128.06 127.56 128.98
      [,21]  [,22]  [,23]  [,24]
[1,] 128.55 129.80 132.55 130.02
[2,] 129.35 132.32 133.35 128.91
[3,] 129.97 131.10 132.53 129.98
[4,] 130.89 131.44 131.11 130.91
> 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] 108.0550 109.2875 110.0700 110.7300 111.6500 111.9475 113.2300 115.2325
 [9] 119.6550 122.2300 126.1500 125.1550 124.7450 125.1875 124.7325 126.3275
[17] 126.8550 127.7075 127.2625 127.9300 129.6900 131.1650 132.3850 129.9550
> arr.sd
 [1] 1.2605422 1.1875289 0.4492215 0.3809637 0.6311894 0.5408250 1.0697975
 [8] 2.1946203 2.0318218 0.1909625 0.9265348 0.5747173 1.4716544 0.6364681
[15] 0.7138802 1.1868270 0.6963955 0.4912145 1.2712035 0.8593408 0.9888714
[22] 1.0451635 0.9318619 0.8183113
> arr.range
 [1] 3.07 2.62 1.01 0.90 1.52 1.20 2.28 5.25 4.11 0.43 2.15 1.23 3.27 1.47 1.48
[16] 2.43 1.70 1.08 2.74 2.09 2.34 2.52 2.24 2.00
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
   1.195517    -0.002106  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
       -2.457          0.472  

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

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

Coefficients:
(Intercept)     arr.mean  
   2.623656    -0.004058  

> postscript(file="/var/www/html/freestat/rcomp/tmp/1uer41249375649.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/freestat/rcomp/tmp/28jv41249375649.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/freestat/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/html/freestat/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/freestat/rcomp/tmp/3of0e1249375649.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/freestat/rcomp/tmp/4hyrp1249375649.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/freestat/rcomp/tmp/58aiz1249375649.tab") 
> 
> system("convert tmp/1uer41249375649.ps tmp/1uer41249375649.png")
> system("convert tmp/28jv41249375649.ps tmp/28jv41249375649.png")
> 
> 
> proc.time()
   user  system elapsed 
  0.772   0.420   0.915