R version 2.9.0 (2009-04-17)
Copyright (C) 2009 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> x <- c(153.3
+ ,154.5
+ ,155.2
+ ,156.9
+ ,157
+ ,157.4
+ ,157.2
+ ,157.5
+ ,158
+ ,158.5
+ ,159
+ ,159.3
+ ,160
+ ,160.8
+ ,161.9
+ ,162.5
+ ,162.7
+ ,162.8
+ ,162.9
+ ,163
+ ,164
+ ,164.7
+ ,164.8
+ ,164.9
+ ,165
+ ,165.8
+ ,166.1
+ ,167.2
+ ,167.7
+ ,168.3
+ ,168.6
+ ,168.9
+ ,169.1
+ ,169.5
+ ,169.6
+ ,169.7
+ ,169.8
+ ,170.4
+ ,170.9
+ ,171.9
+ ,171.9
+ ,172
+ ,172
+ ,172.4
+ ,173
+ ,173.7
+ ,173.8
+ ,173.8
+ ,173.9
+ ,174.6
+ ,175
+ ,175.9
+ ,176
+ ,175.1
+ ,175.6
+ ,175.9
+ ,176.7
+ ,176.1
+ ,176.1
+ ,176.2
+ ,176.3
+ ,177.8
+ ,178.5
+ ,179.4
+ ,179.5
+ ,179.6
+ ,179.7
+ ,179.7
+ ,179.8
+ ,179.9
+ ,180.2
+ ,180.4
+ ,180.4
+ ,181.3
+ ,181.9
+ ,182.5
+ ,182.7
+ ,183.1
+ ,183.6
+ ,183.7
+ ,183.8
+ ,183.9
+ ,184.1
+ ,184.4
+ ,184.5
+ ,185.9
+ ,186.6
+ ,187.6
+ ,187.8
+ ,187.9
+ ,188
+ ,188.3
+ ,188.4
+ ,188.5
+ ,188.5
+ ,188.6
+ ,188.6
+ ,189.4
+ ,190
+ ,191.9
+ ,192.5
+ ,193
+ ,193.5
+ ,193.9
+ ,194.2
+ ,194.9
+ ,194.9
+ ,194.9
+ ,194.9
+ ,195.5
+ ,196
+ ,196.2
+ ,196.2
+ ,196.2
+ ,196.2
+ ,197
+ ,197.7
+ ,198
+ ,198.2
+ ,198.5
+ ,198.6
+ ,199.5
+ ,200
+ ,201.3
+ ,202.2
+ ,202.9
+ ,203.5
+ ,203.5
+ ,204
+ ,204.1
+ ,204.3
+ ,204.5
+ ,204.8
+ ,205.1
+ ,205.7
+ ,206.5
+ ,206.9
+ ,207.1
+ ,207.8
+ ,208
+ ,208.5
+ ,208.6
+ ,209
+ ,209.1
+ ,209.7
+ ,209.8
+ ,209.9
+ ,210
+ ,210.8
+ ,211.4
+ ,211.7
+ ,212
+ ,212.2
+ ,212.4
+ ,212.9
+ ,213.4
+ ,213.7
+ ,214
+ ,214.3
+ ,214.8
+ ,215
+ ,215.9
+ ,216.4
+ ,216.9
+ ,217.2
+ ,217.5
+ ,217.9
+ ,218.1
+ ,218.6
+ ,218.9
+ ,219.3
+ ,220.4
+ ,220.9
+ ,221
+ ,221.8
+ ,222
+ ,222.2
+ ,222.5
+ ,222.9
+ ,223.1
+ ,223.4
+ ,224
+ ,225.1
+ ,225.5
+ ,225.9
+ ,226.3
+ ,226.5
+ ,227
+ ,227.3
+ ,227.8
+ ,228.1
+ ,228.4
+ ,228.5
+ ,228.8
+ ,229
+ ,229.1
+ ,229.3
+ ,229.6
+ ,229.9
+ ,230
+ ,230.2
+ ,230.8
+ ,231
+ ,231.7
+ ,231.9
+ ,233
+ ,235.1
+ ,236
+ ,236.9
+ ,237.1
+ ,237.5
+ ,238.2
+ ,238.9
+ ,239.1
+ ,240
+ ,240.2
+ ,240.5
+ ,240.7
+ ,241.1
+ ,241.4
+ ,242.2
+ ,242.9
+ ,243.2
+ ,243.9)
> 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] 224
> (np <- floor(n / par1))
[1] 18
> 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] [,11] [,12]
 [1,] 153.3 160.0 165.0 169.8 173.9 176.3 180.4 184.5 188.6 194.9 198.6 204.8
 [2,] 154.5 160.8 165.8 170.4 174.6 177.8 181.3 185.9 189.4 195.5 199.5 205.1
 [3,] 155.2 161.9 166.1 170.9 175.0 178.5 181.9 186.6 190.0 196.0 200.0 205.7
 [4,] 156.9 162.5 167.2 171.9 175.9 179.4 182.5 187.6 191.9 196.2 201.3 206.5
 [5,] 157.0 162.7 167.7 171.9 176.0 179.5 182.7 187.8 192.5 196.2 202.2 206.9
 [6,] 157.4 162.8 168.3 172.0 175.1 179.6 183.1 187.9 193.0 196.2 202.9 207.1
 [7,] 157.2 162.9 168.6 172.0 175.6 179.7 183.6 188.0 193.5 196.2 203.5 207.8
 [8,] 157.5 163.0 168.9 172.4 175.9 179.7 183.7 188.3 193.9 197.0 203.5 208.0
 [9,] 158.0 164.0 169.1 173.0 176.7 179.8 183.8 188.4 194.2 197.7 204.0 208.5
[10,] 158.5 164.7 169.5 173.7 176.1 179.9 183.9 188.5 194.9 198.0 204.1 208.6
[11,] 159.0 164.8 169.6 173.8 176.1 180.2 184.1 188.5 194.9 198.2 204.3 209.0
[12,] 159.3 164.9 169.7 173.8 176.2 180.4 184.4 188.6 194.9 198.5 204.5 209.1
      [,13] [,14] [,15] [,16] [,17] [,18]
 [1,] 209.7 213.7 218.6 223.4 228.5 231.9
 [2,] 209.8 214.0 218.9 224.0 228.8 233.0
 [3,] 209.9 214.3 219.3 225.1 229.0 235.1
 [4,] 210.0 214.8 220.4 225.5 229.1 236.0
 [5,] 210.8 215.0 220.9 225.9 229.3 236.9
 [6,] 211.4 215.9 221.0 226.3 229.6 237.1
 [7,] 211.7 216.4 221.8 226.5 229.9 237.5
 [8,] 212.0 216.9 222.0 227.0 230.0 238.2
 [9,] 212.2 217.2 222.2 227.3 230.2 238.9
[10,] 212.4 217.5 222.5 227.8 230.8 239.1
[11,] 212.9 217.9 222.9 228.1 231.0 240.0
[12,] 213.4 218.1 223.1 228.4 231.7 240.2
> 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] 156.9833 162.9167 167.9583 172.1333 175.5917 179.2333 182.9500 187.5500
 [9] 192.6417 196.7167 202.3667 207.2583 211.3500 215.9750 221.1333 226.2750
[17] 229.8250 236.9917
> arr.sd
 [1] 1.8135016 1.5402676 1.6047987 1.3124116 0.7925314 1.1648904 1.2302993
 [8] 1.2616728 2.2272928 1.1456109 2.0446530 1.4914656 1.2908771 1.5754509
[15] 1.5540758 1.5771810 0.9705903 2.6214009
> arr.range
 [1] 6.0 4.9 4.7 4.0 2.8 4.1 4.0 4.1 6.3 3.6 5.9 4.3 3.7 4.4 4.5 5.0 3.2 8.3
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
   0.652474     0.004389  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
       -1.861          0.424  

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

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

Coefficients:
(Intercept)     arr.mean  
   2.738414     0.009787  

> postscript(file="/var/www/html/rcomp/tmp/1krn61259097612.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/23fp81259097612.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/3okid1259097612.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/rcomp/tmp/49v4d1259097612.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/51wz61259097612.tab") 
> 
> system("convert tmp/1krn61259097612.ps tmp/1krn61259097612.png")
> system("convert tmp/23fp81259097612.ps tmp/23fp81259097612.png")
> 
> 
> proc.time()
   user  system elapsed 
  0.560   0.302   0.652