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(11554.5,13182.1,14800.1,12150.7,14478.2,13253.9,12036.8,12653.2,14035.4,14571.4,15400.9,14283.2,14485.3,14196.3,15559.1,13767.4,14634,14381.1,12509.9,12122.3,13122.3,13908.7,13456.5,12441.6,12953,13057.2,14350.1,13830.2,13755.5,13574.4,12802.6,11737.3,13850.2,15081.8,13653.3,14019.1,13962,13768.7,14747.1,13858.1,13188,13693.1,12970,11392.8,13985.2,14994.7,13584.7,14257.8,13553.4,14007.3,16535.8,14721.4,13664.6,16805.9,13829.4,13735.6,15870.5,15962.4,15744.1,16083.7,14863.9,15533.1,17473.1,15925.5,15573.7,17495,14155.8,14913.9,17250.4,15879.8,17647.8,17749.9,17111.8,16934.8,20280,16238.2,17896.1,18089.3,15660,16162.4,17850.1,18520.4,18524.7,16843.7)
> 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] 84
> (np <- floor(n / par1))
[1] 7
> 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]
 [1,] 11554.5 14485.3 12953.0 13962.0 13553.4 14863.9 17111.8
 [2,] 13182.1 14196.3 13057.2 13768.7 14007.3 15533.1 16934.8
 [3,] 14800.1 15559.1 14350.1 14747.1 16535.8 17473.1 20280.0
 [4,] 12150.7 13767.4 13830.2 13858.1 14721.4 15925.5 16238.2
 [5,] 14478.2 14634.0 13755.5 13188.0 13664.6 15573.7 17896.1
 [6,] 13253.9 14381.1 13574.4 13693.1 16805.9 17495.0 18089.3
 [7,] 12036.8 12509.9 12802.6 12970.0 13829.4 14155.8 15660.0
 [8,] 12653.2 12122.3 11737.3 11392.8 13735.6 14913.9 16162.4
 [9,] 14035.4 13122.3 13850.2 13985.2 15870.5 17250.4 17850.1
[10,] 14571.4 13908.7 15081.8 14994.7 15962.4 15879.8 18520.4
[11,] 15400.9 13456.5 13653.3 13584.7 15744.1 17647.8 18524.7
[12,] 14283.2 12441.6 14019.1 14257.8 16083.7 17749.9 16843.7
> 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] 13533.37 13715.38 13555.39 13700.18 15042.84 16205.16 17509.29
> arr.sd
[1] 1240.2485 1026.1514  845.9612  924.1735 1240.1625 1262.4651 1283.2176
> arr.range
[1] 3846.4 3436.8 3344.5 3601.9 3252.5 3594.1 4620.0
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
  -47.69879      0.07899  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
       -3.765          1.123  

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

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

Coefficients:
(Intercept)     arr.mean  
   823.2892       0.1930  

> postscript(file="/var/www/html/rcomp/tmp/14b7a1228660923.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/2s5iy1228660923.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/3arki1228660923.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/rcomp/tmp/4lqhb1228660923.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/5smp51228660923.tab") 
> 
> system("convert tmp/14b7a1228660923.ps tmp/14b7a1228660923.png")
> system("convert tmp/2s5iy1228660923.ps tmp/2s5iy1228660923.png")
> 
> 
> proc.time()
   user  system elapsed 
  0.526   0.286   0.612