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(4716.99,4926.65,4920.10,5170.09,5246.24,5283.61,4979.05,4825.20,4695.12,4711.54,4727.22,4384.96,4378.75,4472.93,4564.07,4310.54,4171.38,4049.38,3591.37,3720.46,4107.23,4101.71,4162.34,4136.22,4125.88,4031.48,3761.36,3408.56,3228.47,3090.45,2741.14,2980.44,3104.33,3181.57,2863.86,2898.01,3112.33,3254.33,3513.47,3587.61,3727.45,3793.34,3817.58,3845.13,3931.86,4197.52,4307.13,4229.43,4362.28,4217.34,4361.28,4327.74,4417.65,4557.68,4650.35,4967.18,5123.42,5290.85,5535.66,5514.06,5493.88,5694.83,5850.41,6116.64,6175.00,6513.58,6383.78,6673.66,6936.61,7300.68,7392.93,7497.31,7584.71,7160.79,7196.19,7245.63,7347.51,7425.75,7778.51,7822.33,8181.22,8371.47,8347.71,8672.11,8802.79,9138.46,9123.29,9023.21,8850.41,8864.58,9163.74,8516.66,8553.44,7555.20,7851.22,7442.00,7992.53,8264.04,7517.39,7200.40,7193.69,6193.58,5104.21,4800.46,4461.61,4398.59,4243.63,4293.82)
> 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] 108
> (np <- floor(n / par1))
[1] 9
> 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,] 4716.99 4378.75 4125.88 3112.33 4362.28 5493.88 7584.71 8802.79 7992.53
 [2,] 4926.65 4472.93 4031.48 3254.33 4217.34 5694.83 7160.79 9138.46 8264.04
 [3,] 4920.10 4564.07 3761.36 3513.47 4361.28 5850.41 7196.19 9123.29 7517.39
 [4,] 5170.09 4310.54 3408.56 3587.61 4327.74 6116.64 7245.63 9023.21 7200.40
 [5,] 5246.24 4171.38 3228.47 3727.45 4417.65 6175.00 7347.51 8850.41 7193.69
 [6,] 5283.61 4049.38 3090.45 3793.34 4557.68 6513.58 7425.75 8864.58 6193.58
 [7,] 4979.05 3591.37 2741.14 3817.58 4650.35 6383.78 7778.51 9163.74 5104.21
 [8,] 4825.20 3720.46 2980.44 3845.13 4967.18 6673.66 7822.33 8516.66 4800.46
 [9,] 4695.12 4107.23 3104.33 3931.86 5123.42 6936.61 8181.22 8553.44 4461.61
[10,] 4711.54 4101.71 3181.57 4197.52 5290.85 7300.68 8371.47 7555.20 4398.59
[11,] 4727.22 4162.34 2863.86 4307.13 5535.66 7392.93 8347.71 7851.22 4243.63
[12,] 4384.96 4136.22 2898.01 4229.43 5514.06 7497.31 8672.11 7442.00 4293.82
> 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] 4882.231 4147.198 3284.629 3776.432 4777.124 6502.443 7761.161 8573.750
[9] 5971.996
> arr.sd
[1]  262.0308  280.4866  457.9144  371.2195  485.4410  674.3737  521.0993
[8]  620.0146 1580.0122
> arr.range
[1]  898.65  972.70 1384.74 1194.80 1318.32 2003.43 1511.32 1721.74 4020.41
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
  195.52808      0.07031  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
      -0.3918         0.7719  

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

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

Coefficients:
(Intercept)     arr.mean  
   756.0330       0.1655  

> postscript(file="/var/www/html/rcomp/tmp/1cvpm1259845142.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/2uhqf1259845142.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/3visu1259845142.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/rcomp/tmp/46me81259845142.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/5x9lp1259845142.tab") 
> system("convert tmp/1cvpm1259845142.ps tmp/1cvpm1259845142.png")
> system("convert tmp/2uhqf1259845142.ps tmp/2uhqf1259845142.png")
> 
> 
> proc.time()
   user  system elapsed 
  0.498   0.287   0.617