R version 2.13.0 (2011-04-13)
Copyright (C) 2011 The R Foundation for Statistical Computing
ISBN 3-900051-07-0
Platform: i486-pc-linux-gnu (32-bit)

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> x <- c(181896,181580,181234,180598,187123,186807,181896,178638,178954,178954,179269,179936,181580,179616,181580,179936,185158,187469,177656,175025,177305,176989,175025,175345,179269,178638,179269,179269,183545,184176,172398,172398,176989,174709,170785,172398,176327,174363,174047,169803,176007,177305,164545,164229,170785,167176,160967,163598,166509,167176,165212,161287,169456,169456,155078,154101,158025,150838,143616,145932,150838,146910,144283,138710,146247,146563,132190,131839,134470,126301,117465,121043,125950,120728,120412,115154,123670,125319,109266,105688,107968,99132,89981,92928,98470,91946,92928,89004,97172,98150,78524,77221,80799,71333,62817,65764,72950,64462,63799,57244,64462,66742,46448,46448,49391,41542,32706,37297,45466,36631,40244,35333,43186,45813,24853,23240,26502,18649,12444,15040)
> 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] 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,] 181896 181580 179269 176327 166509 150838 125950 98470 72950 45466
 [2,] 181580 179616 178638 174363 167176 146910 120728 91946 64462 36631
 [3,] 181234 181580 179269 174047 165212 144283 120412 92928 63799 40244
 [4,] 180598 179936 179269 169803 161287 138710 115154 89004 57244 35333
 [5,] 187123 185158 183545 176007 169456 146247 123670 97172 64462 43186
 [6,] 186807 187469 184176 177305 169456 146563 125319 98150 66742 45813
 [7,] 181896 177656 172398 164545 155078 132190 109266 78524 46448 24853
 [8,] 178638 175025 172398 164229 154101 131839 105688 77221 46448 23240
 [9,] 178954 177305 176989 170785 158025 134470 107968 80799 49391 26502
[10,] 178954 176989 174709 167176 150838 126301  99132 71333 41542 18649
[11,] 179269 175025 170785 160967 143616 117465  89981 62817 32706 12444
[12,] 179936 175345 172398 163598 145932 121043  92928 65764 37297 15040
> 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] 181407.08 179390.33 176986.92 169929.33 158890.50 136404.92 111349.67
 [8]  83677.33  53624.25  30616.75
> arr.sd
 [1]  2851.824  4000.781  4470.797  5713.654  9045.112 10976.241 12568.849
 [8] 12712.398 13031.962 11989.351
> arr.range
 [1]  8485 12444 13391 16338 25840 33373 35969 35653 40244 33369
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
  1.673e+04   -6.234e-02  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
      16.4894        -0.6484  

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

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

Coefficients:
(Intercept)     arr.mean  
 48315.0274      -0.1778  

> postscript(file="/var/wessaorg/rcomp/tmp/177ol1313497639.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/2tctc1313497639.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/3ltu31313497639.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/wessaorg/rcomp/tmp/4z5891313497639.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/577u31313497639.tab") 
> 
> try(system("convert tmp/177ol1313497639.ps tmp/177ol1313497639.png",intern=TRUE))
character(0)
> try(system("convert tmp/2tctc1313497639.ps tmp/2tctc1313497639.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  0.631   0.117   0.743