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(106.07,106.07,106.07,106.07,106.07,106.2,107.5,108.31,108.53,108.61,108.62,108.62,108.62,108.62,110.1,110.74,110.77,110.77,110.78,110.78,110.78,110.84,110.84,110.84,110.84,110.84,111.01,112.66,114.04,114.16,114.2,114.2,114.23,114.23,114.23,114.23,114.23,114.23,115.97,116.96,117.08,117.08,117.08,117.63,119.12,119.47,119.5,119.52,119.49,119.49,119.5,119.5,119.56,122.35,122.92,122.92,123.04,123.04,123.04,123.06,123.33,128.21,129.57,129.79,131.66,135.01,136.01,136.31,136.37,136.4,136.4,136.4,137.34,142.18,143.79,144.08,144.08,144.09,144.09,144.11,144.11,144.15,144.15,144.16,144.2,144.38,144.38,144.28,144.46,144.53,144.53,145.34,147.98,150.42,150.53,150.64)
> 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] 96
> (np <- floor(n / par1))
[1] 8
> 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]
 [1,] 106.07 108.62 110.84 114.23 119.49 123.33 137.34 144.20
 [2,] 106.07 108.62 110.84 114.23 119.49 128.21 142.18 144.38
 [3,] 106.07 110.10 111.01 115.97 119.50 129.57 143.79 144.38
 [4,] 106.07 110.74 112.66 116.96 119.50 129.79 144.08 144.28
 [5,] 106.07 110.77 114.04 117.08 119.56 131.66 144.08 144.46
 [6,] 106.20 110.77 114.16 117.08 122.35 135.01 144.09 144.53
 [7,] 107.50 110.78 114.20 117.08 122.92 136.01 144.09 144.53
 [8,] 108.31 110.78 114.20 117.63 122.92 136.31 144.11 145.34
 [9,] 108.53 110.78 114.23 119.12 123.04 136.37 144.11 147.98
[10,] 108.61 110.84 114.23 119.47 123.04 136.40 144.15 150.42
[11,] 108.62 110.84 114.23 119.50 123.04 136.40 144.15 150.53
[12,] 108.62 110.84 114.23 119.52 123.06 136.40 144.16 150.64
> 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] 107.2283 110.3733 113.2392 117.3225 121.4925 132.9550 143.3608 146.3058
> arr.sd
[1] 1.2242536 0.8432441 1.4795359 1.8774263 1.7618901 4.3733334 1.9756125
[8] 2.7462552
> arr.range
[1]  2.55  2.22  3.39  5.29  3.57 13.07  6.82  6.44
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
   -3.68920      0.04615  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
      -14.225          3.079  

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

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

Coefficients:
(Intercept)     arr.mean  
   -13.1490       0.1497  

> postscript(file="/var/www/html/rcomp/tmp/13lmn1243956941.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/2nxhn1243956941.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/3wycj1243956941.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/rcomp/tmp/4rtzg1243956941.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/51vv81243956941.tab") 
> system("convert tmp/13lmn1243956941.ps tmp/13lmn1243956941.png")
> system("convert tmp/2nxhn1243956941.ps tmp/2nxhn1243956941.png")
> 
> 
> proc.time()
   user  system elapsed 
  0.513   0.307   0.621