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(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 = '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] 144
> (np <- floor(n / par1))
[1] 36
> 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  98.9 101.6 104.6 106.1 108.1 108.9 110.9 114.6 116.0 118.1 110.5
[2,] 96.5 100.2 102.4 104.5 107.6 108.1 109.8 111.1 114.2 116.3 117.2 110.6
[3,] 96.9 101.2 103.7 104.5 107.7 108.0 109.9 112.2 114.7 116.4 108.3 111.2
[4,] 97.8 101.0 103.7 105.6 108.3 108.2 109.8 112.7 114.7 116.6 109.5 111.1
     [,13] [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24]
[1,] 111.0 111.8 113.7 113.9 113.8 115.3 115.5 114.9 115.0 116.6 117.7 117.7
[2,] 112.4 111.6 113.8 114.4 114.3 114.9 115.8 114.1 114.7 117.2 118.5 116.3
[3,] 112.5 112.9 114.0 114.4 115.0 114.3 115.8 114.1 115.4 118.2 117.5 115.0
[4,] 112.4 112.8 113.8 114.5 115.4 114.5 116.0 113.5 116.1 118.0 118.0 115.7
     [,25] [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36]
[1,] 113.6 117.3 119.2 112.5 120.6 120.6 121.0 124.5 116.0 116.7 128.4 132.7
[2,] 114.8 117.7 117.3 118.9 118.6 117.4 122.4 123.2 126.6 126.4 129.2 127.7
[3,] 114.9 120.0 117.5 118.4 122.0 116.4 124.9 126.4 125.9 129.0 133.3 131.8
[4,] 117.3 119.6 119.0 119.4 122.6 122.2 126.1 123.9 126.6 128.7 128.9 133.9
> 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]  96.825 100.325 102.850 104.800 107.425 108.100 109.600 111.725 114.550
[10] 116.325 113.275 110.850 112.075 112.275 113.825 114.300 114.625 114.750
[19] 115.775 114.150 115.300 117.500 117.925 116.175 115.150 118.650 118.250
[28] 117.300 120.950 119.150 123.600 124.500 123.775 125.200 129.950 131.525
> arr.sd
 [1] 0.72743843 1.04363148 1.03440804 0.53541261 0.93585968 0.08164966
 [7] 0.46904158 0.86554414 0.23804761 0.25000000 5.08879488 0.35118846
[13] 0.71821538 0.67019898 0.12583057 0.27080128 0.71355915 0.44347116
[19] 0.20615528 0.57445626 0.60553007 0.73936910 0.43493295 1.14709779
[25] 1.55026879 1.34783777 0.98826447 3.22593656 1.77670106 2.70985854
[31] 2.31948270 1.37355985 5.19382646 5.78446195 2.25757983 2.69118933
> arr.range
 [1]  1.7  2.3  2.1  1.1  2.2  0.2  1.0  1.8  0.5  0.6  9.8  0.7  1.5  1.3  0.3
[16]  0.6  1.6  1.0  0.5  1.4  1.4  1.6  1.0  2.7  3.7  2.7  1.9  6.9  4.0  5.8
[31]  5.1  3.2 10.6 12.3  4.9  6.2
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
   -9.33089      0.09302  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
      -32.197          6.754  

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

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

Coefficients:
(Intercept)     arr.mean  
   -20.3367       0.2023  

> postscript(file="/var/www/html/freestat/rcomp/tmp/1lodu1291483324.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/2lodu1291483324.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/37pb01291483324.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/freestat/rcomp/tmp/4apa61291483324.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/51tg11291483324.tab") 
> 
> try(system("convert tmp/1lodu1291483324.ps tmp/1lodu1291483324.png",intern=TRUE))
character(0)
> try(system("convert tmp/2lodu1291483324.ps tmp/2lodu1291483324.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  0.841   0.420   0.911