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(18288.3,16049,16764.5,17880.2,16555.9,16087.1,16373.5,17842.2,22321.5,22786.7,18274.1,22392.9,23899.3,21343.5,22952.3,21374.4,21164.1,20906.5,17877.4,20664.3,22160,19813.6,17735.4,19640.2,20844.4,19823.1,18594.6,21350.6,18574.1,18924.2,17343.4,19961.2,19932.1,19464.6,16165.4,17574.9,19795.4,19439.5,17170,21072.4,17751.8,17515.5,18040.3,19090.1,17746.5,19202.1,15141.6,16258.1,18586.5,17209.4,17838.7,19123.5,16583.6,15991.2,16704.5,17422,17872,17823.2,13866.5,15912.8,17870.5,15420.3,16379.4,17903.9,15305.8,14583.3,14861,14968.9,16726.5,16283.6,11703.7,15101.8,15469.7,14956.9,15370.6,15998.1,14725.1,14768.9,13659.6,15070.3,16942.6,15761.3,12083,15023.6,15106.5)
> 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] 85
> (np <- floor(n / par1))
[1] 21
> 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,] 18288.3 16555.9 22321.5 23899.3 21164.1 22160.0 20844.4 18574.1 19932.1
[2,] 16049.0 16087.1 22786.7 21343.5 20906.5 19813.6 19823.1 18924.2 19464.6
[3,] 16764.5 16373.5 18274.1 22952.3 17877.4 17735.4 18594.6 17343.4 16165.4
[4,] 17880.2 17842.2 22392.9 21374.4 20664.3 19640.2 21350.6 19961.2 17574.9
       [,10]   [,11]   [,12]   [,13]   [,14]   [,15]   [,16]   [,17]   [,18]
[1,] 19795.4 17751.8 17746.5 18586.5 16583.6 17872.0 17870.5 15305.8 16726.5
[2,] 19439.5 17515.5 19202.1 17209.4 15991.2 17823.2 15420.3 14583.3 16283.6
[3,] 17170.0 18040.3 15141.6 17838.7 16704.5 13866.5 16379.4 14861.0 11703.7
[4,] 21072.4 19090.1 16258.1 19123.5 17422.0 15912.8 17903.9 14968.9 15101.8
       [,19]   [,20]   [,21]
[1,] 15469.7 14725.1 16942.6
[2,] 14956.9 14768.9 15761.3
[3,] 15370.6 13659.6 12083.0
[4,] 15998.1 15070.3 15023.6
> 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] 17245.50 16714.67 21443.80 22392.38 20153.08 19837.30 20153.17 18700.72
 [9] 18284.25 19369.33 18099.42 17087.08 18189.53 16675.33 16368.62 16893.53
[17] 14929.75 14953.90 15448.83 14555.98 14952.62
> arr.sd
 [1] 1025.2234  776.0526 2123.0110 1254.4256 1530.7807 1812.2113 1217.8840
 [8] 1079.6764 1741.7748 1625.2138  694.4408 1768.2614  839.3691  587.3146
[15] 1901.2567 1212.4430  298.7198 2272.7287  428.2710  616.9707 2069.9228
> arr.range
 [1] 2239.3 1755.1 4512.6 2555.8 3286.7 4424.6 2756.0 2617.8 3766.7 3902.4
[11] 1574.6 4060.5 1914.1 1430.8 4005.5 2483.6  722.5 5022.8 1041.2 1410.7
[21] 4859.6
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
   53.40587      0.06915  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
       -9.726          1.713  

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

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

Coefficients:
(Intercept)     arr.mean  
   395.7906       0.1397  

> postscript(file="/var/www/html/freestat/rcomp/tmp/1q1ju1274033288.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/2q1ju1274033288.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/3u2zi1274033288.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/freestat/rcomp/tmp/4flyo1274033288.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/5ilec1274033288.tab") 
> 
> try(system("convert tmp/1q1ju1274033288.ps tmp/1q1ju1274033288.png",intern=TRUE))
character(0)
> try(system("convert tmp/2q1ju1274033288.ps tmp/2q1ju1274033288.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  0.762   0.421   0.833