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(1069108,1059362,1049495,1029082,1231089,1220388,1069108,968521,978233,978233,989056,1008514,1069108,1049495,1079775,1129547,1412683,1412683,1352244,1291650,1341422,1401983,1412683,1442964,1533833,1473244,1473244,1564114,1816014,1836427,1785734,1664578,1755420,1755420,1765165,1816014,1856040,1876453,1876453,1937014,2169452,2229890,2239603,2088322,2169452,2139171,2078582,2209478,2239603,2188909,2199610,2269916,2532640,2663352,2663352,2602913,2693660,2602913,2552092,2744509,2774634,2703378,2884967,2956228,3168103,3308711,3289258,3278430,3359559,3349692,3228692,3410253,3470847,3410253,3662154,3783309,4065362,4176650,4146492,4085897,4136624,4197185,3995056,4156204,4257779,4216798,4479366,4570080,4953837,5024138,4933418,4984117,5014398,5044678,4852261,5033856,5134437,5033856,5326854,5417607,5811037,5871631,5891089,5992631,5992631,6032657,5851063,5941938,6002377,5891089,6214246,6274812,6678021,6749283,6849864,6940739,6950451,6961152,6779563,6961152)
> 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] 120
> (np <- floor(n / par1))
[1] 30
> 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,] 1069108 1231089  978233 1069108 1412683 1341422 1533833 1816014 1755420
[2,] 1059362 1220388  978233 1049495 1412683 1401983 1473244 1836427 1755420
[3,] 1049495 1069108  989056 1079775 1352244 1412683 1473244 1785734 1765165
[4,] 1029082  968521 1008514 1129547 1291650 1442964 1564114 1664578 1816014
       [,10]   [,11]   [,12]   [,13]   [,14]   [,15]   [,16]   [,17]   [,18]
[1,] 1856040 2169452 2169452 2239603 2532640 2693660 2774634 3168103 3359559
[2,] 1876453 2229890 2139171 2188909 2663352 2602913 2703378 3308711 3349692
[3,] 1876453 2239603 2078582 2199610 2663352 2552092 2884967 3289258 3228692
[4,] 1937014 2088322 2209478 2269916 2602913 2744509 2956228 3278430 3410253
       [,19]   [,20]   [,21]   [,22]   [,23]   [,24]   [,25]   [,26]   [,27]
[1,] 3470847 4065362 4136624 4257779 4953837 5014398 5134437 5811037 5992631
[2,] 3410253 4176650 4197185 4216798 5024138 5044678 5033856 5871631 6032657
[3,] 3662154 4146492 3995056 4479366 4933418 4852261 5326854 5891089 5851063
[4,] 3783309 4085897 4156204 4570080 4984117 5033856 5417607 5992631 5941938
       [,28]   [,29]   [,30]
[1,] 6002377 6678021 6950451
[2,] 5891089 6749283 6961152
[3,] 6214246 6849864 6779563
[4,] 6274812 6940739 6961152
> 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] 1051762 1122276  988509 1081981 1367315 1399763 1511109 1775688 1773005
[10] 1886490 2181817 2149171 2224510 2615564 2648294 2829802 3261126 3337049
[19] 3581641 4118600 4121267 4381006 4973878 4986298 5228188 5891597 5954572
[28] 6095631 6804477 6913080
> arr.sd
 [1]  17109.11 126403.68  14279.26  34100.07  57933.40  42590.51  45436.50
 [8]  76945.36  29038.50  35030.27  69628.64  55169.62  37313.74  62192.77
[15]  86851.71 112625.11  63267.81  76955.85 172047.94  51805.85  87843.02
[22] 170853.57  39452.75  90232.14 175279.50  75491.02  78357.06 179544.88
[29] 114985.23  89153.83
> arr.range
 [1]  40026 262568  30281  80052 121033 101542  90870 171849  60594  80974
[11] 151281 130896  81007 130712 192417 252850 140608 181561 373056 111288
[21] 202129 353282  90720 192417 383751 181594 181594 383723 262718 181589
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
  3.506e+04    1.340e-02  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
       1.2346         0.6649  

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

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

Coefficients:
(Intercept)     arr.mean  
  7.648e+04    2.956e-02  

> postscript(file="/var/wessaorg/rcomp/tmp/1j64e1310302256.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/2wkg01310302256.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/33u3n1310302256.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/wessaorg/rcomp/tmp/47vtv1310302256.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/5zk821310302256.tab") 
> 
> try(system("convert tmp/1j64e1310302256.ps tmp/1j64e1310302256.png",intern=TRUE))
character(0)
> try(system("convert tmp/2wkg01310302256.ps tmp/2wkg01310302256.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  0.756   0.121   0.872