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(100.4,97.7,97,96.5,98.4,106.3,103.1,102.4,95,98.1,106.1,99.1,101.2,95.5,99.8,97.1,97.5,96.8,97.7,100.9,94.3,99.5,100.8,97,99.2,101,102.3,97,91.2,97.6,95.7,100.5,94.4,102.9,105.1,98.8,100.7,99.6,107.7,102.9,101.6,102.7,110.5,109.8,94.3,102.5,105,102.3,107.7,100.3,99.5,95,97.7,96.3,97.8,106.4,96.1,106.2,114.7,111.9,121,117.7,115.4,114.3,109.5,108.1,108.2,99.1,101.2,98.1,95.5,97.9,98.2,98.7,95.6,95.8,94.4,96.5,103.3,104.3,104.5,102.3,103.8,103.1,102.2,106.3,102.1,94,102.6,102.6,106.7,107.9,109.3,105.9,109.1,108.5,111.7,109.8,109.1,108.5,108.5,106.2,117.1,109.8,115.2,115.9,119.2,121,118.6,117.6,114.6,110.6,102.5,101.6,107.4,105.8,102.8,104,100.4,100.6)
> 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] 120
> (np <- floor(n / par1))
[1] 10
> 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,] 100.4 101.2  99.2 100.7 107.7 121.0  98.2 102.2 111.7 118.6
 [2,]  97.7  95.5 101.0  99.6 100.3 117.7  98.7 106.3 109.8 117.6
 [3,]  97.0  99.8 102.3 107.7  99.5 115.4  95.6 102.1 109.1 114.6
 [4,]  96.5  97.1  97.0 102.9  95.0 114.3  95.8  94.0 108.5 110.6
 [5,]  98.4  97.5  91.2 101.6  97.7 109.5  94.4 102.6 108.5 102.5
 [6,] 106.3  96.8  97.6 102.7  96.3 108.1  96.5 102.6 106.2 101.6
 [7,] 103.1  97.7  95.7 110.5  97.8 108.2 103.3 106.7 117.1 107.4
 [8,] 102.4 100.9 100.5 109.8 106.4  99.1 104.3 107.9 109.8 105.8
 [9,]  95.0  94.3  94.4  94.3  96.1 101.2 104.5 109.3 115.2 102.8
[10,]  98.1  99.5 102.9 102.5 106.2  98.1 102.3 105.9 115.9 104.0
[11,] 106.1 100.8 105.1 105.0 114.7  95.5 103.8 109.1 119.2 100.4
[12,]  99.1  97.0  98.8 102.3 111.9  97.9 103.1 108.5 121.0 100.6
> 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] 100.00833  98.17500  98.80833 103.30000 102.46667 107.16667 100.04167
 [8] 104.76667 112.66667 107.20833
> arr.sd
 [1] 3.704410 2.238963 3.908606 4.500909 6.658874 8.703326 3.866983 4.363763
 [9] 4.817456 6.600890
> arr.range
 [1] 11.3  6.9 13.9 16.2 19.7 25.5 10.1 15.3 14.8 18.2
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
   -19.0358       0.2317  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
      -23.740          5.449  

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

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

Coefficients:
(Intercept)     arr.mean  
   -51.8198       0.6477  

> postscript(file="/var/www/html/freestat/rcomp/tmp/1dqp71292071273.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/www/html/freestat/rcomp/tmp/2dqp71292071273.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/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/3z8nd1292071273.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/freestat/rcomp/tmp/4294j1292071273.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/5yi2a1292071273.tab") 
> 
> try(system("convert tmp/1dqp71292071273.ps tmp/1dqp71292071273.png",intern=TRUE))
character(0)
> try(system("convert tmp/2dqp71292071273.ps tmp/2dqp71292071273.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  0.819   0.403   0.881