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(1593,1477.9,1733.7,1569.7,1843.7,1950.3,1657.5,1772.1,1568.3,1809.8,1646.7,1808.5,1763.9,1625.5,1538.8,1342.4,1645.1,1619.9,1338.1,1505.5,1529.1,1511.9,1656.7,1694.4,1662.3,1588.7,1483.3,1585.6,1658.9,1584.4,1470.6,1618.7,1407.6,1473.9,1515.3,1485.4,1496.1,1493.5,1298.4,1375.3,1507.9,1455.3,1363.3,1392.8,1348.8,1880.3,1669.2,1543.6,1701.2,1516.5,1466.8,1484.1,1577.2,1684.5,1414.7,1674.5,1598.7,1739.1,1674.6,1671.8,1802,1526.8,1580.9,1634.8,1610.3,1712,1678.8,1708.1,1680.6,2056,1624,2021.4,1861.1,1750.8,1767.5,1710.3,2151.5,2047.9,1915.4,1984.7,1896.5,2170.8,2139.9,2330.5,2121.8,2226.8,1857.9,2155.9,2341.7,2290.2,2006.5,2111.9,1731.3,1762.2,1863.2,1943.5,1975.2)
> 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] 97
> (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,] 1593.0 1763.9 1662.3 1496.1 1701.2 1802.0 1861.1 2121.8
 [2,] 1477.9 1625.5 1588.7 1493.5 1516.5 1526.8 1750.8 2226.8
 [3,] 1733.7 1538.8 1483.3 1298.4 1466.8 1580.9 1767.5 1857.9
 [4,] 1569.7 1342.4 1585.6 1375.3 1484.1 1634.8 1710.3 2155.9
 [5,] 1843.7 1645.1 1658.9 1507.9 1577.2 1610.3 2151.5 2341.7
 [6,] 1950.3 1619.9 1584.4 1455.3 1684.5 1712.0 2047.9 2290.2
 [7,] 1657.5 1338.1 1470.6 1363.3 1414.7 1678.8 1915.4 2006.5
 [8,] 1772.1 1505.5 1618.7 1392.8 1674.5 1708.1 1984.7 2111.9
 [9,] 1568.3 1529.1 1407.6 1348.8 1598.7 1680.6 1896.5 1731.3
[10,] 1809.8 1511.9 1473.9 1880.3 1739.1 2056.0 2170.8 1762.2
[11,] 1646.7 1656.7 1515.3 1669.2 1674.6 1624.0 2139.9 1863.2
[12,] 1808.5 1694.4 1485.4 1543.6 1671.8 2021.4 2330.5 1943.5
> 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] 1702.600 1564.275 1544.558 1485.375 1600.308 1719.642 1977.242 2034.408
> arr.sd
[1] 139.19528 130.44257  82.56277 160.66390 107.02800 164.89666 194.11476
[8] 204.66321
> arr.range
[1] 472.4 425.8 254.7 581.9 324.4 529.2 620.2 610.4
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
  -124.3513       0.1598  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
       -8.950          1.871  

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

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

Coefficients:
(Intercept)     arr.mean  
  -230.6360       0.4156  

> postscript(file="/var/www/html/rcomp/tmp/14eex1229198356.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/29gwt1229198356.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/3p8841229198356.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/rcomp/tmp/4cpwf1229198356.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/5wc2e1229198357.tab") 
> 
> system("convert tmp/14eex1229198356.ps tmp/14eex1229198356.png")
> system("convert tmp/29gwt1229198356.ps tmp/29gwt1229198356.png")
> 
> 
> proc.time()
   user  system elapsed 
  0.510   0.278   0.655