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(96.1,96.5,96.9,97.8,98.9,100.2,101.2,101,101.6,102.4,103.7,103.7,104.6,104.5,104.5,105.6,106.1,107.6,107.7,108.3,108.1,108.1,108,108.2,108.9,109.8,109.9,109.8,110.9,111.1,112.2,112.7,114.6,114.2,114.7,114.7,116,116.3,116.4,116.6,118.1,117.2,108.3,109.5,110.5,110.6,111.2,111.1,111,112.4,112.5,112.4,111.8,111.6,112.9,112.8,113.7,113.8,114,113.8,113.9,114.4,114.4,114.5,113.8,114.3,115,115.4,115.3,114.9,114.3,114.5,115.5,115.8,115.8,116,114.9,114.1,114.1,113.5,115,114.7,115.4,116.1,116.6,117.2,118.2,118,117.7,118.5,117.5,118,117.7,116.3,115,115.7,113.6,114.8,114.9,117.3,117.3,117.7,120,119.6,119.2,117.3,117.5,119,112.5,118.9,118.4,119.4,120.6,118.6,122,122.6,120.6,117.4,116.4,122.2,121,122.4,124.9,126.1,124.5,123.2,126.4,123.9,116,126.6,125.9,126.6,116.7,126.4,129,128.7,128.4,129.2,133.3,128.9,132.7,127.7,131.8,133.9)
> 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] 144
> (np <- floor(n / par1))
[1] 12
> 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,]  96.1 104.6 108.9 116.0 111.0 113.9 115.5 116.6 113.6 112.5 121.0 116.7
 [2,]  96.5 104.5 109.8 116.3 112.4 114.4 115.8 117.2 114.8 118.9 122.4 126.4
 [3,]  96.9 104.5 109.9 116.4 112.5 114.4 115.8 118.2 114.9 118.4 124.9 129.0
 [4,]  97.8 105.6 109.8 116.6 112.4 114.5 116.0 118.0 117.3 119.4 126.1 128.7
 [5,]  98.9 106.1 110.9 118.1 111.8 113.8 114.9 117.7 117.3 120.6 124.5 128.4
 [6,] 100.2 107.6 111.1 117.2 111.6 114.3 114.1 118.5 117.7 118.6 123.2 129.2
 [7,] 101.2 107.7 112.2 108.3 112.9 115.0 114.1 117.5 120.0 122.0 126.4 133.3
 [8,] 101.0 108.3 112.7 109.5 112.8 115.4 113.5 118.0 119.6 122.6 123.9 128.9
 [9,] 101.6 108.1 114.6 110.5 113.7 115.3 115.0 117.7 119.2 120.6 116.0 132.7
[10,] 102.4 108.1 114.2 110.6 113.8 114.9 114.7 116.3 117.3 117.4 126.6 127.7
[11,] 103.7 108.0 114.7 111.2 114.0 114.3 115.4 115.0 117.5 116.4 125.9 131.8
[12,] 103.7 108.2 114.7 111.1 113.8 114.5 116.1 115.7 119.0 122.2 126.6 133.9
> 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] 100.0000 106.7750 111.9583 113.4833 112.7250 114.5583 115.0750 117.2000
 [9] 117.3500 119.1333 123.9583 128.8917
> arr.sd
 [1] 2.7186226 1.5903830 2.1827665 3.5478120 0.9668365 0.5017394 0.8422103
 [8] 1.0795622 2.0214756 2.8503057 3.0829320 4.5139095
> arr.range
 [1]  7.6  3.8  5.8  9.8  3.0  1.6  2.6  3.5  6.4 10.1 10.6 17.2
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
   -5.12286      0.06326  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
      -10.350          2.306  

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

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

Coefficients:
(Intercept)     arr.mean  
   -31.9697       0.3371  

> postscript(file="/var/www/html/rcomp/tmp/1lh7o1291651508.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/rcomp/tmp/2lh7o1291651508.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/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/3oiob1291651508.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/rcomp/tmp/4ai4z1291651508.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/56ak81291651508.tab") 
> 
> try(system("convert tmp/1lh7o1291651508.ps tmp/1lh7o1291651508.png",intern=TRUE))
character(0)
> try(system("convert tmp/2lh7o1291651508.ps tmp/2lh7o1291651508.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  0.500   0.282   1.510