R version 2.6.2 (2008-02-08)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> x <- c(107.5,107.5,113.3,107.8,104.5,105.1,104.2,106.6,103.8,107.7,106.4,110,113.2,113.9,112,113.9,113.1,111.7,110.7,113.5,114,112.7,112.2,115.8,118.4,118.8,123.9,118,120.2,118.7,119.8,124.8,121.3,120.2,118.3,129.6,130.2,127.19,133.1,129.12,123.28,123.36,124.13,126.96,127.14,123.7,123.67,130.19,134.01,124.96,129.96,128.32,132.38,126.25,128.91,131.42,129.44,126.86,126.71,131.63,132.78,126.61,132.84,123.14,128.13,125.49,126.48,130.86,127.32,126.56,126.64,129.26,126.47,135.38,135.5,132.22,122.62,125.16,128.5,133.86,128.87,125.07,125.25,132.16,130.24)
> 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] 85
> (np <- floor(n / par1))
[1] 21
> 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,] 107.5 104.5 103.8 113.2 113.1 114.0 118.4 120.2 121.3 130.20 123.28 127.14
[2,] 107.5 105.1 107.7 113.9 111.7 112.7 118.8 118.7 120.2 127.19 123.36 123.70
[3,] 113.3 104.2 106.4 112.0 110.7 112.2 123.9 119.8 118.3 133.10 124.13 123.67
[4,] 107.8 106.6 110.0 113.9 113.5 115.8 118.0 124.8 129.6 129.12 126.96 130.19
      [,13]  [,14]  [,15]  [,16]  [,17]  [,18]  [,19]  [,20]  [,21]
[1,] 134.01 132.38 129.44 132.78 128.13 127.32 126.47 122.62 128.87
[2,] 124.96 126.25 126.86 126.61 125.49 126.56 135.38 125.16 125.07
[3,] 129.96 128.91 126.71 132.84 126.48 126.64 135.50 128.50 125.25
[4,] 128.32 131.42 131.63 123.14 130.86 129.26 132.22 133.86 132.16
> 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] 109.0250 105.1000 106.9750 113.2500 112.2500 113.6750 119.7750 120.8750
 [9] 122.3500 129.9025 124.4325 126.1750 129.3125 129.7400 128.6600 128.8425
[17] 127.7400 127.4450 132.3925 127.5350 127.8375
> arr.sd
 [1] 2.8535066 1.0677078 2.5876308 0.8962886 1.2897028 1.6070159 2.7693260
 [8] 2.6924277 4.9896560 2.4686349 1.7280312 3.1332677 3.7601008 2.7483935
[15] 2.3432029 4.7953615 2.3478075 1.2571264 4.2303457 4.8557423 3.3716601
> arr.range
 [1]  5.80  2.40  6.20  1.90  2.80  3.60  5.90  6.10 11.30  5.91  3.68  6.52
[13]  9.05  6.13  4.92  9.70  5.37  2.70  9.03 11.24  7.09
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
   -6.16251      0.07303  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
      -16.943          3.716  

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

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

Coefficients:
(Intercept)     arr.mean  
   -13.4222       0.1596  

> postscript(file="/var/www/html/freestat/rcomp/tmp/13bu31211033351.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/2efap1211033351.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/3oxjc1211033352.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/freestat/rcomp/tmp/4cnac1211033352.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/59h1y1211033352.tab") 
> 
> system("convert tmp/13bu31211033351.ps tmp/13bu31211033351.png")
> system("convert tmp/2efap1211033351.ps tmp/2efap1211033351.png")
> 
> 
> proc.time()
   user  system elapsed 
  1.005   0.388   1.066