R version 2.6.2 (2008-02-08)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> x <- c(11835.70,11542.20,13093.70,11180.20,12035.70,12112.00,10875.20,9897.30,11672.10,12385.70,11405.60,9830.90,11025.10,10853.80,12252.60,11839.40,11669.10,11601.40,11178.40,9516.40,12102.80,12989.00,11610.20,10205.50,11356.20,11307.10,12648.60,11947.20,11714.10,12192.50,11268.80,9097.40,12639.80,13040.10,11687.30,11191.70,11391.90,11793.10,13933.20,12778.10,11810.30,13698.40,11956.60,10723.80,13938.90,13979.80,13807.40,12973.90,12509.80,12934.10,14908.30,13772.10,13012.60,14049.90,11816.50,11593.20,14466.20,13615.90,14733.90,13880.70,13527.50,13584.00,16170.20,13260.60,14741.90,15486.50,13154.50,12621.20,15031.60,15452.40,15428.00,13105.90,14716.80,14180.00,16202.20,14392.40,15140.60,15960.10,14729.90,13705.20,15728.50,17315.60,16152.80)
> 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] 83
> (np <- floor(n / par1))
[1] 20
> 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,] 11835.7 12035.7 11672.1 11025.1 11669.1 12102.8 11356.2 11714.1 12639.8
[2,] 11542.2 12112.0 12385.7 10853.8 11601.4 12989.0 11307.1 12192.5 13040.1
[3,] 13093.7 10875.2 11405.6 12252.6 11178.4 11610.2 12648.6 11268.8 11687.3
[4,] 11180.2  9897.3  9830.9 11839.4  9516.4 10205.5 11947.2  9097.4 11191.7
       [,10]   [,11]   [,12]   [,13]   [,14]   [,15]   [,16]   [,17]   [,18]
[1,] 11391.9 11810.3 13938.9 12509.8 13012.6 14466.2 13527.5 14741.9 15031.6
[2,] 11793.1 13698.4 13979.8 12934.1 14049.9 13615.9 13584.0 15486.5 15452.4
[3,] 13933.2 11956.6 13807.4 14908.3 11816.5 14733.9 16170.2 13154.5 15428.0
[4,] 12778.1 10723.8 12973.9 13772.1 11593.2 13880.7 13260.6 12621.2 13105.9
       [,19]   [,20]
[1,] 14716.8 15140.6
[2,] 14180.0 15960.1
[3,] 16202.2 14729.9
[4,] 14392.4 13705.2
> 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] 11912.95 11230.05 11323.58 11492.73 10991.33 11726.88 11814.78 11068.20
 [9] 12139.73 12474.08 12047.27 13675.00 13531.08 12618.05 14174.17 14135.58
[17] 14001.02 14754.48 14872.85 14883.95
> arr.sd
 [1]  831.5680 1053.4149 1077.7115  664.4526 1006.9709 1163.6830  627.3822
 [8] 1366.9346  849.3507 1133.7705 1230.4713  473.1516 1057.3904 1139.9801
[15]  515.2246 1363.7290 1338.6627 1115.8454  913.3083  937.5768
> arr.range
 [1] 1913.5 2214.7 2554.8 1398.8 2152.7 2783.5 1341.5 3095.1 1848.4 2541.3
[11] 2974.6 1005.9 2398.5 2456.7 1118.0 2909.6 2865.3 2346.5 2022.2 2254.9
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
 1170.48888     -0.01393  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
        9.704         -0.301  

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

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

Coefficients:
(Intercept)     arr.mean  
 2782.86255     -0.04497  

> postscript(file="/var/www/html/freestat/rcomp/tmp/1k21b1210622004.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/2ot3u1210622004.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/3kodx1210622004.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/freestat/rcomp/tmp/44znq1210622004.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/5ef621210622004.tab") 
> 
> system("convert tmp/1k21b1210622004.ps tmp/1k21b1210622004.png")
> system("convert tmp/2ot3u1210622004.ps tmp/2ot3u1210622004.png")
> 
> 
> proc.time()
   user  system elapsed 
  1.015   0.394   1.159