R version 3.0.2 (2013-09-25) -- "Frisbee Sailing"
Copyright (C) 2013 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

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> x <- c(5947968.00
+ ,5925816.00
+ ,5903352.00
+ ,5856864.00
+ ,6316752.00
+ ,6292416.00
+ ,5947968.00
+ ,5718960.00
+ ,5741112.00
+ ,5741112.00
+ ,5765760.00
+ ,5810064.00
+ ,5879016.00
+ ,5879016.00
+ ,5834712.00
+ ,5718960.00
+ ,6316752.00
+ ,6407856.00
+ ,6270264.00
+ ,5947968.00
+ ,6085872.00
+ ,5879016.00
+ ,5972304.00
+ ,6016920.00
+ ,6063408.00
+ ,5947968.00
+ ,5972304.00
+ ,5810064.00
+ ,6316752.00
+ ,6476808.00
+ ,6339216.00
+ ,6085872.00
+ ,6361368.00
+ ,6063408.00
+ ,6339216.00
+ ,6316752.00
+ ,6385704.00
+ ,6132360.00
+ ,6407856.00
+ ,6385704.00
+ ,6799104.00
+ ,6705816.00
+ ,6339216.00
+ ,6154512.00
+ ,6407856.00
+ ,6063408.00
+ ,6316752.00
+ ,6361368.00
+ ,6454656.00
+ ,6248112.00
+ ,6361368.00
+ ,6430320.00
+ ,6683664.00
+ ,6476808.00
+ ,6201312.00
+ ,5903352.00
+ ,6179160.00
+ ,5421000.00
+ ,5787912.00
+ ,5994456.00
+ ,6201312.00
+ ,5903352.00
+ ,5903352.00
+ ,5903352.00
+ ,6063408.00
+ ,5834712.00
+ ,5534568.00
+ ,5283408.00
+ ,5465616.00
+ ,4754256.00
+ ,5190120.00
+ ,5443464.00
+ ,5489952.00
+ ,5236608.00
+ ,5258760.00
+ ,5190120.00
+ ,5421000.00
+ ,5258760.00
+ ,4938960.00
+ ,4707768.00
+ ,5098704.00
+ ,4249752.00
+ ,4801056.00
+ ,5052216.00
+ ,5052216.00
+ ,4754256.00
+ ,4478760.00
+ ,4456608.00
+ ,4707768.00
+ ,4478760.00
+ ,4043208.00
+ ,3743064.00
+ ,4065360.00
+ ,3307512.00
+ ,3996408.00
+ ,4363008.00
+ ,4478760.00
+ ,4225416.00
+ ,3905304.00
+ ,4134312.00
+ ,4225416.00
+ ,4156464.00
+ ,3467256.00
+ ,3147456.00
+ ,3376152.00
+ ,2687256.00
+ ,3398616.00
+ ,3651960.00
+ ,3858504.00
+ ,3514056.00
+ ,3191760.00
+ ,3376152.00
+ ,3467256.00
+ ,3285048.00
+ ,2596152.00
+ ,2296008.00
+ ,2571504.00
+ ,1813656.00
+ ,2640456.00
+ ,3147456.00)
> par1 = '12'
> par1 <- '12'
> #'GNU S' R Code compiled by R2WASP v. 1.2.291 ()
> #Author: root
> #To cite this work: Wessa P. (2012), Standard Deviation-Mean Plot (v1.0.6) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_smp.wasp/
> #Source of accompanying publication: Office for Research, Development, and Education
> #
> par1 <- as.numeric(par1)
> (n <- length(x))
[1] 120
> (np <- floor(n / par1))
[1] 10
> 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]
 [1,] 5947968 5879016 6063408 6385704 6454656 6201312 5489952 5052216 4478760
 [2,] 5925816 5879016 5947968 6132360 6248112 5903352 5236608 4754256 4225416
 [3,] 5903352 5834712 5972304 6407856 6361368 5903352 5258760 4478760 3905304
 [4,] 5856864 5718960 5810064 6385704 6430320 5903352 5190120 4456608 4134312
 [5,] 6316752 6316752 6316752 6799104 6683664 6063408 5421000 4707768 4225416
 [6,] 6292416 6407856 6476808 6705816 6476808 5834712 5258760 4478760 4156464
 [7,] 5947968 6270264 6339216 6339216 6201312 5534568 4938960 4043208 3467256
 [8,] 5718960 5947968 6085872 6154512 5903352 5283408 4707768 3743064 3147456
 [9,] 5741112 6085872 6361368 6407856 6179160 5465616 5098704 4065360 3376152
[10,] 5741112 5879016 6063408 6063408 5421000 4754256 4249752 3307512 2687256
[11,] 5765760 5972304 6339216 6316752 5787912 5190120 4801056 3996408 3398616
[12,] 5810064 6016920 6316752 6361368 5994456 5443464 5052216 4363008 3651960
        [,10]
 [1,] 3858504
 [2,] 3514056
 [3,] 3191760
 [4,] 3376152
 [5,] 3467256
 [6,] 3285048
 [7,] 2596152
 [8,] 2296008
 [9,] 2571504
[10,] 1813656
[11,] 2640456
[12,] 3147456
> 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] 5914012 6017388 6174428 6371638 6178510 5623410 5058638 4287244 3737864
[10] 2979834
> arr.sd
 [1] 200415.9 212654.8 208587.3 213412.5 351439.2 419010.0 344584.2 480272.9
 [9] 536289.1 593524.1
> arr.range
 [1]  597792  688896  666744  735696 1262664 1447056 1240200 1744704 1791504
[10] 2044848
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
  9.483e+05   -1.132e-01  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
       34.106         -1.386  

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

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

Coefficients:
(Intercept)     arr.mean  
  3.307e+06   -3.983e-01  

> postscript(file="/var/wessaorg/rcomp/tmp/1g3si1438858680.ps",horizontal=F,onefile=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/wessaorg/rcomp/tmp/2errx1438858680.ps",horizontal=F,onefile=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/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/wessaorg/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/wessaorg/rcomp/tmp/303ho1438858680.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/wessaorg/rcomp/tmp/4beo61438858680.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/wessaorg/rcomp/tmp/5zcwb1438858680.tab") 
> 
> try(system("convert tmp/1g3si1438858680.ps tmp/1g3si1438858680.png",intern=TRUE))
character(0)
> try(system("convert tmp/2errx1438858680.ps tmp/2errx1438858680.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  0.892   0.172   1.070