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(75.9,76.9,77.9,78.9,79.9,80.9,81.9,82.9,83.9,84.9,85.9,86.9,87.9,88.9,89.9,90.9,91.9,92.9,93.9,94.9,95.9,96.9,97.9,98.9,99.9,100.9,101.9,102.9,103.9,104.9,105.9,106.9,107.9,108.9,109.9,110.9,111.9,112.9,113.9,114.9,115.9,116.9,117.9,118.9,119.9,120.9,121.9,122.9,123.9,124.9,125.9,126.9,127.9,128.9,129.9,130.9,131.9,132.9,133.9,134.9,135.9,136.9,137.9,138.9,139.9,140.9,141.9,142.9,143.9,144.9,145.9,146.9,147.9,148.9,149.9,150.9,151.9,152.9,153.9,154.9,155.9,156.9,157.9,158.9,159.9,160.9,161.9,162.9,163.9,164.9,165.9,166.9,167.9,168.9,169.9,170.9,171.9,172.9,173.9,174.9,175.9,176.9,177.9,178.9,179.9,180.9,181.9,182.9)
> 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] 108
> (np <- floor(n / par1))
[1] 27
> 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] [,13]
[1,] 75.9 79.9 83.9 87.9 91.9 95.9  99.9 103.9 107.9 111.9 115.9 119.9 123.9
[2,] 76.9 80.9 84.9 88.9 92.9 96.9 100.9 104.9 108.9 112.9 116.9 120.9 124.9
[3,] 77.9 81.9 85.9 89.9 93.9 97.9 101.9 105.9 109.9 113.9 117.9 121.9 125.9
[4,] 78.9 82.9 86.9 90.9 94.9 98.9 102.9 106.9 110.9 114.9 118.9 122.9 126.9
     [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
[1,] 127.9 131.9 135.9 139.9 143.9 147.9 151.9 155.9 159.9 163.9 167.9 171.9
[2,] 128.9 132.9 136.9 140.9 144.9 148.9 152.9 156.9 160.9 164.9 168.9 172.9
[3,] 129.9 133.9 137.9 141.9 145.9 149.9 153.9 157.9 161.9 165.9 169.9 173.9
[4,] 130.9 134.9 138.9 142.9 146.9 150.9 154.9 158.9 162.9 166.9 170.9 174.9
     [,26] [,27]
[1,] 175.9 179.9
[2,] 176.9 180.9
[3,] 177.9 181.9
[4,] 178.9 182.9
> 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]  77.4  81.4  85.4  89.4  93.4  97.4 101.4 105.4 109.4 113.4 117.4 121.4
[13] 125.4 129.4 133.4 137.4 141.4 145.4 149.4 153.4 157.4 161.4 165.4 169.4
[25] 173.4 177.4 181.4
> arr.sd
 [1] 1.290994 1.290994 1.290994 1.290994 1.290994 1.290994 1.290994 1.290994
 [9] 1.290994 1.290994 1.290994 1.290994 1.290994 1.290994 1.290994 1.290994
[17] 1.290994 1.290994 1.290994 1.290994 1.290994 1.290994 1.290994 1.290994
[25] 1.290994 1.290994 1.290994
> arr.range
 [1] 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
  1.291e+00   -9.157e-18  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
    2.554e-01     -8.168e-17  

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

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

Coefficients:
(Intercept)     arr.mean  
  3.000e+00   -1.831e-17  

> postscript(file="/var/www/html/rcomp/tmp/1jato1261081987.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/27zvi1261081987.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/3bt6h1261081987.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/rcomp/tmp/4vijj1261081987.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/5hf9h1261081987.tab") 
> 
> try(system("convert tmp/1jato1261081987.ps tmp/1jato1261081987.png",intern=TRUE))
character(0)
> try(system("convert tmp/27zvi1261081987.ps tmp/27zvi1261081987.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  0.541   0.282   0.618