R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

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Type 'q()' to quit R.

> x <- c(21571.00
+ ,21493.00
+ ,21422.00
+ ,21272.00
+ ,22747.00
+ ,22676.00
+ ,21571.00
+ ,20831.00
+ ,20909.00
+ ,20909.00
+ ,20980.00
+ ,21130.00
+ ,21051.00
+ ,21643.00
+ ,21864.00
+ ,21643.00
+ ,22455.00
+ ,21935.00
+ ,20759.00
+ ,20467.00
+ ,20467.00
+ ,20610.00
+ ,20026.00
+ ,20467.00
+ ,20097.00
+ ,20467.00
+ ,21051.00
+ ,21272.00
+ ,21792.00
+ ,21571.00
+ ,20246.00
+ ,19726.00
+ ,19506.00
+ ,19726.00
+ ,19363.00
+ ,19506.00
+ ,19064.00
+ ,19805.00
+ ,20168.00
+ ,20246.00
+ ,21643.00
+ ,21643.00
+ ,19805.00
+ ,19363.00
+ ,19363.00
+ ,19584.00
+ ,18622.00
+ ,18180.00
+ ,17668.00
+ ,17817.00
+ ,18480.00
+ ,17960.00
+ ,19363.00
+ ,19584.00
+ ,18180.00
+ ,17668.00
+ ,17375.00
+ ,17668.00
+ ,16855.00
+ ,16563.00
+ ,15388.00
+ ,15680.00
+ ,15751.00
+ ,15830.00
+ ,17226.00
+ ,17076.00
+ ,15388.00
+ ,14647.00
+ ,14355.00
+ ,14725.00
+ ,13322.00
+ ,12367.00
+ ,10601.00
+ ,10750.00
+ ,10750.00
+ ,10601.00
+ ,11854.00
+ ,11926.00
+ ,10451.00
+ ,10159.00
+ ,9568.00
+ ,10380.00
+ ,8905.00
+ ,8022.00
+ ,6333.00
+ ,6697.00
+ ,6255.00
+ ,6404.00
+ ,7509.00
+ ,7730.00
+ ,6996.00
+ ,6917.00
+ ,6917.00
+ ,7879.00
+ ,6184.00
+ ,5079.00
+ ,3163.00
+ ,4709.00
+ ,4488.00
+ ,4566.00
+ ,6333.00
+ ,6112.00
+ ,5300.00
+ ,5671.00
+ ,5671.00
+ ,6996.00
+ ,5450.00
+ ,4566.00
+ ,3163.00
+ ,5008.00
+ ,4859.00
+ ,4930.00
+ ,6476.00
+ ,6333.00
+ ,5813.00
+ ,5892.00
+ ,6255.00
+ ,7067.00
+ ,5813.00
+ ,4787.00)
> par1 = '12'
> 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] [,10]
 [1,] 21571 21051 20097 19064 17668 15388 10601 6333 3163  3163
 [2,] 21493 21643 20467 19805 17817 15680 10750 6697 4709  5008
 [3,] 21422 21864 21051 20168 18480 15751 10750 6255 4488  4859
 [4,] 21272 21643 21272 20246 17960 15830 10601 6404 4566  4930
 [5,] 22747 22455 21792 21643 19363 17226 11854 7509 6333  6476
 [6,] 22676 21935 21571 21643 19584 17076 11926 7730 6112  6333
 [7,] 21571 20759 20246 19805 18180 15388 10451 6996 5300  5813
 [8,] 20831 20467 19726 19363 17668 14647 10159 6917 5671  5892
 [9,] 20909 20467 19506 19363 17375 14355  9568 6917 5671  6255
[10,] 20909 20610 19726 19584 17668 14725 10380 7879 6996  7067
[11,] 20980 20026 19363 18622 16855 13322  8905 6184 5450  5813
[12,] 21130 20467 19506 18180 16563 12367  8022 5079 4566  4787
> 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] 21459.250 21115.583 20360.250 19790.500 17931.750 15146.250 10330.583
 [8]  6741.667  5252.083  5533.000
> arr.sd
 [1]  642.4159  763.8452  862.1609 1049.1979  889.6428 1394.4437 1101.8161
 [8]  773.4585 1023.6292 1042.5622
> arr.range
 [1] 1916 2429 2429 3463 3021 4859 3904 2800 3833 3904
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
  1.096e+03   -9.878e-03  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
       7.8338        -0.1054  

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

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

Coefficients:
(Intercept)     arr.mean  
 4258.82109     -0.06982  

> postscript(file="/var/wessaorg/rcomp/tmp/1kzo21471285993.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/29htw1471285993.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/3l82w1471285993.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/wessaorg/rcomp/tmp/441iu1471285993.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/5l6351471285993.tab") 
> 
> try(system("convert tmp/1kzo21471285993.ps tmp/1kzo21471285993.png",intern=TRUE))
character(0)
> try(system("convert tmp/29htw1471285993.ps tmp/29htw1471285993.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  0.885   0.085   0.977