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(14620,16005,16683,15487,15684,15962,12000,13769,14031,16078,15827,13149,15969,16628,16670,16487,16883,16201,12168,14010,16556,17404,16435,13123,16744,17410,16484,17103,17301,17301,12843,13748,16904,17342,15476,15424,15988,19244,18715,17780,17160,17349,11171,13438,16713,18369,17067,14055,15500,18475,19423,18686,19646,19733,12605,16616,19156,21348,20049,18020,20262,21789,20603,21928,21025,19346,11786,19082,20127,20217,20385,16653,13065,20275,21776,20260,22523,23033,14133,20110,19682,22197,17212,11784,15467,17002,15952,18767,20605,19809,14233,19311,20827,23388,20181,14344)
> par1 = '4'
> par1 <- as.numeric(par1)
> (n <- length(x))
[1] 96
> (np <- floor(n / par1))
[1] 24
> 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,] 14620 15684 14031 15969 16883 16556 16744 17301 16904 15988 17160 16713
[2,] 16005 15962 16078 16628 16201 17404 17410 17301 17342 19244 17349 18369
[3,] 16683 12000 15827 16670 12168 16435 16484 12843 15476 18715 11171 17067
[4,] 15487 13769 13149 16487 14010 13123 17103 13748 15424 17780 13438 14055
     [,13] [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24]
[1,] 15500 19646 19156 20262 21025 20127 13065 22523 19682 15467 20605 20827
[2,] 18475 19733 21348 21789 19346 20217 20275 23033 22197 17002 19809 23388
[3,] 19423 12605 20049 20603 11786 20385 21776 14133 17212 15952 14233 20181
[4,] 18686 16616 18020 21928 19082 16653 20260 20110 11784 18767 19311 14344
> 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] 15698.75 14353.75 14771.25 16438.50 14815.50 15879.50 16935.25 15298.25
 [9] 16286.50 17931.75 14779.50 16551.00 18021.00 17150.00 19643.25 21145.50
[17] 17809.75 19345.50 18844.00 19949.75 17718.75 16797.00 18489.50 19685.00
> arr.sd
 [1]  870.0722 1847.3499 1414.4338  322.6376 2148.8177 1887.5579  405.6808
 [8] 2341.9040  982.5482 1430.2299 3004.9961 1809.9392 1729.1025 3358.7739
[15] 1407.4988  836.9144 4106.9892 1798.1816 3917.7494 4082.0055 4449.2369
[22] 1461.2609 2887.2752 3820.5004
> arr.range
 [1]  2063  3962  2929   701  4715  4281   926  4458  1918  3256  6178  4314
[13]  3923  7128  3328  1666  9239  3732  8711  8900 10413  3300  6372  9044
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
  -557.6870       0.1586  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
       -2.511          1.026  

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

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

Coefficients:
(Intercept)     arr.mean  
 -2118.6547       0.4014  

> postscript(file="/var/www/html/rcomp/tmp/13g8s1243891807.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/2li7r1243891807.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/3i3ub1243891807.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/rcomp/tmp/43hs81243891807.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/5fmkk1243891807.tab") 
> 
> system("convert tmp/13g8s1243891807.ps tmp/13g8s1243891807.png")
> system("convert tmp/2li7r1243891807.ps tmp/2li7r1243891807.png")
> 
> 
> proc.time()
   user  system elapsed 
  0.520   0.283   0.624