R version 2.9.0 (2009-04-17)
Copyright (C) 2009 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

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Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> x <- c(83.87
+ ,84.23
+ ,84.61
+ ,84.82
+ ,85.04
+ ,85.06
+ ,84.93
+ ,84.98
+ ,85.23
+ ,85.30
+ ,85.33
+ ,85.55
+ ,85.70
+ ,85.88
+ ,86.04
+ ,86.07
+ ,86.31
+ ,86.38
+ ,86.35
+ ,86.55
+ ,86.70
+ ,86.74
+ ,86.85
+ ,86.95
+ ,86.80
+ ,87.01
+ ,87.17
+ ,87.43
+ ,87.66
+ ,87.68
+ ,87.59
+ ,87.65
+ ,87.72
+ ,87.70
+ ,87.71
+ ,87.80
+ ,87.62
+ ,87.84
+ ,88.17
+ ,88.47
+ ,88.58
+ ,88.57
+ ,88.55
+ ,88.68
+ ,88.79
+ ,88.85
+ ,88.95
+ ,89.27
+ ,89.09
+ ,89.42
+ ,89.72
+ ,89.85
+ ,89.96
+ ,90.25
+ ,90.20
+ ,90.27
+ ,90.78
+ ,90.79
+ ,90.98
+ ,91.25
+ ,90.75
+ ,91.01
+ ,91.50
+ ,92.09
+ ,92.56
+ ,92.66
+ ,92.38
+ ,92.38
+ ,92.66
+ ,92.69
+ ,92.59
+ ,92.98
+ ,92.98
+ ,93.15
+ ,93.65
+ ,94.06
+ ,94.24
+ ,94.24
+ ,94.11
+ ,94.16
+ ,94.43
+ ,94.67
+ ,94.60
+ ,95.00
+ ,94.84
+ ,95.26
+ ,95.81
+ ,95.92
+ ,95.85
+ ,95.90
+ ,95.80
+ ,96.00
+ ,96.34
+ ,96.43
+ ,96.48
+ ,96.75
+ ,96.51
+ ,96.69
+ ,97.28
+ ,97.69
+ ,98.08
+ ,98.09
+ ,97.92
+ ,98.06
+ ,98.23
+ ,98.57
+ ,98.53
+ ,98.92
+ ,98.42
+ ,98.73
+ ,99.32
+ ,99.73
+ ,100.00
+ ,100.08
+ ,100.02
+ ,100.26
+ ,100.71
+ ,100.95
+ ,100.75
+ ,101.03
+ ,100.64
+ ,100.93
+ ,101.41
+ ,102.07
+ ,102.42
+ ,102.53
+ ,102.43
+ ,102.60
+ ,102.65
+ ,102.74
+ ,102.82
+ ,103.21
+ ,102.75
+ ,103.09
+ ,103.71
+ ,104.30
+ ,104.58
+ ,104.71
+ ,104.44
+ ,104.57
+ ,104.95
+ ,105.49
+ ,106.03
+ ,106.48
+ ,106.25
+ ,106.70
+ ,107.60
+ ,108.05
+ ,108.72
+ ,109.17
+ ,109.08
+ ,109.04
+ ,109.34
+ ,109.37
+ ,108.96
+ ,108.77
+ ,108.11
+ ,108.67
+ ,109.05
+ ,109.43
+ ,109.62
+ ,109.85
+ ,109.34
+ ,109.65
+ ,109.69
+ ,109.91
+ ,110.09)
> 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] 167
> (np <- floor(n / par1))
[1] 13
> 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]
 [1,] 83.87 85.70 86.80 87.62 89.09 90.75 92.98 94.84 96.51  98.42 100.64
 [2,] 84.23 85.88 87.01 87.84 89.42 91.01 93.15 95.26 96.69  98.73 100.93
 [3,] 84.61 86.04 87.17 88.17 89.72 91.50 93.65 95.81 97.28  99.32 101.41
 [4,] 84.82 86.07 87.43 88.47 89.85 92.09 94.06 95.92 97.69  99.73 102.07
 [5,] 85.04 86.31 87.66 88.58 89.96 92.56 94.24 95.85 98.08 100.00 102.42
 [6,] 85.06 86.38 87.68 88.57 90.25 92.66 94.24 95.90 98.09 100.08 102.53
 [7,] 84.93 86.35 87.59 88.55 90.20 92.38 94.11 95.80 97.92 100.02 102.43
 [8,] 84.98 86.55 87.65 88.68 90.27 92.38 94.16 96.00 98.06 100.26 102.60
 [9,] 85.23 86.70 87.72 88.79 90.78 92.66 94.43 96.34 98.23 100.71 102.65
[10,] 85.30 86.74 87.70 88.85 90.79 92.69 94.67 96.43 98.57 100.95 102.74
[11,] 85.33 86.85 87.71 88.95 90.98 92.59 94.60 96.48 98.53 100.75 102.82
[12,] 85.55 86.95 87.80 89.27 91.25 92.98 95.00 96.75 98.92 101.03 103.21
       [,12]  [,13]
 [1,] 102.75 106.25
 [2,] 103.09 106.70
 [3,] 103.71 107.60
 [4,] 104.30 108.05
 [5,] 104.58 108.72
 [6,] 104.71 109.17
 [7,] 104.44 109.08
 [8,] 104.57 109.04
 [9,] 104.95 109.34
[10,] 105.49 109.37
[11,] 106.03 108.96
[12,] 106.48 108.77
> 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]  84.91250  86.37667  87.49333  88.52833  90.21333  92.18750  94.10750
 [8]  95.94833  97.88083 100.00000 102.20417 104.59167 108.42083
> arr.sd
 [1] 0.4793201 0.3973168 0.3239622 0.4630302 0.6502913 0.7158609 0.5952100
 [8] 0.5282533 0.7329822 0.8393179 0.7952182 1.0919860 1.0493328
> arr.range
 [1] 1.68 1.25 1.00 1.65 2.16 2.23 2.02 1.91 2.41 2.61 2.57 3.73 3.12
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
   -2.07237      0.02888  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
      -19.338          4.148  

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

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

Coefficients:
(Intercept)     arr.mean  
   -6.14845      0.08782  

> postscript(file="/var/www/html/rcomp/tmp/1cat21261567659.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/2dimr1261567659.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/31alr1261567659.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/rcomp/tmp/4rwtw1261567659.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/5ypv01261567659.tab") 
> 
> try(system("convert tmp/1cat21261567659.ps tmp/1cat21261567659.png",intern=TRUE))
character(0)
> try(system("convert tmp/2dimr1261567659.ps tmp/2dimr1261567659.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  0.493   0.280   0.661