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(516.922,514.258,509.846,527.070,541.657,564.591,555.362,498.662,511.038,525.919,531.673,548.854,560.576,557.274,565.742,587.625,619.916,625.809,619.567,572.942,572.775,574.205,579.799,590.072,593.408,597.141,595.404,612.117,628.232,628.884,620.735,569.028,567.456,573.100,584.428,589.379,590.865,595.454,594.167,611.324,612.613,610.763,593.530,542.722,536.662,543.599,555.332,560.854,562.325,554.788,547.344,565.464,577.992,579.714,569.323,506.971,500.857,509.127,509.933,517.009,519.164,512.238,509.239,518.585,522.975,525.192,516.847,455.626,454.724,461.251,470.439,474.605,476.049,471.067,470.984,502.831,512.927,509.673,484.015,431.328,436.087,442.867,447.988,460.070,467.037,460.170,464.196,485.025,501.492,520.564,488.180,439.148,441.977,456.608,461.935,480.961,492.865)
> 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] 97
> (np <- floor(n / par1))
[1] 24
> 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,] 516.922 541.657 511.038 560.576 619.916 572.775 593.408 628.232 567.456
[2,] 514.258 564.591 525.919 557.274 625.809 574.205 597.141 628.884 573.100
[3,] 509.846 555.362 531.673 565.742 619.567 579.799 595.404 620.735 584.428
[4,] 527.070 498.662 548.854 587.625 572.942 590.072 612.117 569.028 589.379
       [,10]   [,11]   [,12]   [,13]   [,14]   [,15]   [,16]   [,17]   [,18]
[1,] 590.865 612.613 536.662 562.325 577.992 500.857 519.164 522.975 454.724
[2,] 595.454 610.763 543.599 554.788 579.714 509.127 512.238 525.192 461.251
[3,] 594.167 593.530 555.332 547.344 569.323 509.933 509.239 516.847 470.439
[4,] 611.324 542.722 560.854 565.464 506.971 517.009 518.585 455.626 474.605
       [,19]   [,20]   [,21]   [,22]   [,23]   [,24]
[1,] 476.049 512.927 436.087 467.037 501.492 441.977
[2,] 471.067 509.673 442.867 460.170 520.564 456.608
[3,] 470.984 484.015 447.988 464.196 488.180 461.935
[4,] 502.831 431.328 460.070 485.025 439.148 480.961
> 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] 517.0240 540.0680 529.3710 567.8043 609.5585 579.2128 599.5175 611.7197
 [9] 578.5908 597.9525 589.9070 549.1118 557.4803 558.5000 509.2315 514.8065
[17] 505.1600 465.2548 480.2328 484.4857 446.7530 469.1070 487.3460 460.3702
> arr.sd
 [1]  7.305408 29.167709 15.630117 13.665635 24.578410  7.848337  8.537018
 [8] 28.700326 10.076223  9.121443 32.609229 10.984210  8.107684 34.652306
[15]  6.611222  4.860011 33.210733  8.967169 15.250519 37.723866 10.128051
[22] 10.979610 34.772056 16.113075
> arr.range
 [1] 17.224 65.929 37.816 30.351 52.867 17.297 18.709 59.856 21.923 20.459
[11] 69.891 24.192 18.120 72.743 16.152  9.925 69.566 19.881 31.847 81.599
[21] 23.983 24.855 81.416 38.984
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
   11.30446      0.01158  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
       0.2215         0.3902  

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

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

Coefficients:
(Intercept)     arr.mean  
  33.564623     0.009371  

> postscript(file="/var/www/html/rcomp/tmp/1lafm1210412507.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/2v3hz1210412507.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/3d8u21210412507.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/rcomp/tmp/45bwa1210412507.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/5p9hg1210412507.tab") 
> 
> system("convert tmp/1lafm1210412507.ps tmp/1lafm1210412507.png")
> system("convert tmp/2v3hz1210412507.ps tmp/2v3hz1210412507.png")
> 
> 
> proc.time()
   user  system elapsed 
  0.770   0.292   0.909