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(3779.7,3795.5,3813.1,3826.9,3833.3,3844.8,3851.3,3851.8,3854.1,3858.4,3861.6,3856.3,3855.8,3860.4,3855.1,3839.5,3833,3833.6,3826.8,3818.2,3811.4,3806.8,3810.3,3818.2,3858.9,3867.8,3872.3,3873.3,3876.7,3882.6,3883.5,3882.2,3888.1,3893.7,3901.9,3914.3,3930.3,3948.3,3971.5,3990.1,3993,3998,4015.8,4041.2,4060.7,4076.7,4103,4125.3,4139.7,4146.7,4158,4155.1,4144.8,4148.2,4142.5,4142.1,4145.4,4146.3,4143.5,4149.2,4158.9,4166.1,4179.1,4194.4,4211.7,4226.3,4235.8,4243.6,4258.7,4278.2,4298,4315.1,4334.3,4356,4374,4395.5)
> par1 = '4'
> #'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] 76
> (np <- floor(n / par1))
[1] 19
> 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]
[1,] 3779.7 3833.3 3854.1 3855.8 3833.0 3811.4 3858.9 3876.7 3888.1 3930.3
[2,] 3795.5 3844.8 3858.4 3860.4 3833.6 3806.8 3867.8 3882.6 3893.7 3948.3
[3,] 3813.1 3851.3 3861.6 3855.1 3826.8 3810.3 3872.3 3883.5 3901.9 3971.5
[4,] 3826.9 3851.8 3856.3 3839.5 3818.2 3818.2 3873.3 3882.2 3914.3 3990.1
      [,11]  [,12]  [,13]  [,14]  [,15]  [,16]  [,17]  [,18]  [,19]
[1,] 3993.0 4060.7 4139.7 4144.8 4145.4 4158.9 4211.7 4258.7 4334.3
[2,] 3998.0 4076.7 4146.7 4148.2 4146.3 4166.1 4226.3 4278.2 4356.0
[3,] 4015.8 4103.0 4158.0 4142.5 4143.5 4179.1 4235.8 4298.0 4374.0
[4,] 4041.2 4125.3 4155.1 4142.1 4149.2 4194.4 4243.6 4315.1 4395.5
> 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] 3803.800 3845.300 3857.600 3852.700 3827.900 3811.675 3868.075 3881.250
 [9] 3899.500 3960.050 4012.000 4091.425 4149.875 4144.400 4146.100 4174.625
[17] 4229.350 4287.500 4364.950
> arr.sd
 [1] 20.573446  8.612007  3.192700  9.108604  7.160074  4.771705  6.567788
 [8]  3.081666 11.378342 26.186701 21.787458 28.532715  8.305169  2.798809
[15]  2.373464 15.610120 13.729409 24.412702 26.043105
> arr.range
 [1] 47.2 18.5  7.5 20.9 15.4 11.4 14.4  6.8 26.2 59.8 48.2 64.6 18.3  6.1  5.7
[16] 35.5 31.9 56.4 61.2
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
  -68.88419      0.02038  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
       -46.10           5.83  

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

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

Coefficients:
(Intercept)     arr.mean  
 -164.37082      0.04828  

> postscript(file="/var/www/html/freestat/rcomp/tmp/1ou0w1243971575.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/freestat/rcomp/tmp/2j18f1243971575.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/freestat/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/html/freestat/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/freestat/rcomp/tmp/3o1hr1243971575.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/freestat/rcomp/tmp/4jytr1243971575.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/freestat/rcomp/tmp/5yoxd1243971575.tab") 
> 
> system("convert tmp/1ou0w1243971575.ps tmp/1ou0w1243971575.png")
> system("convert tmp/2j18f1243971575.ps tmp/2j18f1243971575.png")
> 
> 
> proc.time()
   user  system elapsed 
  0.770   0.428   0.903