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(349
+ ,336
+ ,331
+ ,327
+ ,323
+ ,322
+ ,385
+ ,405
+ ,412
+ ,411
+ ,410
+ ,415
+ ,414
+ ,411
+ ,408
+ ,410
+ ,411
+ ,416
+ ,479
+ ,498
+ ,502
+ ,498
+ ,499
+ ,506
+ ,510
+ ,509
+ ,502
+ ,495
+ ,490
+ ,490
+ ,553
+ ,570
+ ,573
+ ,572
+ ,575
+ ,580
+ ,580
+ ,574
+ ,563
+ ,556
+ ,546
+ ,545
+ ,605
+ ,628
+ ,631
+ ,626
+ ,614
+ ,606
+ ,602
+ ,589
+ ,574
+ ,558
+ ,552
+ ,546
+ ,607
+ ,636
+ ,631
+ ,623
+ ,618
+ ,605
+ ,619
+ ,596
+ ,570
+ ,546
+ ,528
+ ,506
+ ,555
+ ,568
+ ,564
+ ,553
+ ,541
+ ,542
+ ,540
+ ,521
+ ,505
+ ,491
+ ,482
+ ,478
+ ,523
+ ,531
+ ,532
+ ,540
+ ,525
+ ,533
+ ,531
+ ,508
+ ,495
+ ,482
+ ,470
+ ,466
+ ,515
+ ,518
+ ,516
+ ,511
+ ,500
+ ,498
+ ,494
+ ,476
+ ,458
+ ,443
+ ,430
+ ,424
+ ,476
+ ,481
+ ,470
+ ,460
+ ,451
+ ,450
+ ,444
+ ,429
+ ,421
+ ,400
+ ,389
+ ,384
+ ,432
+ ,446
+ ,431
+ ,423
+ ,416
+ ,416
+ ,413
+ ,399
+ ,386
+ ,374
+ ,365
+ ,365
+ ,418
+ ,428
+ ,424
+ ,421
+ ,417
+ ,423
+ ,423
+ ,419
+ ,406
+ ,398
+ ,390
+ ,391
+ ,444
+ ,460
+ ,455
+ ,456
+ ,452
+ ,459
+ ,461
+ ,451
+ ,443
+ ,439
+ ,430
+ ,436
+ ,488
+ ,506
+ ,502
+ ,501
+ ,501
+ ,515
+ ,521
+ ,520
+ ,512
+ ,509
+ ,505
+ ,511
+ ,570
+ ,592
+ ,594
+ ,586
+ ,586
+ ,592
+ ,594
+ ,586
+ ,572
+ ,563
+ ,555
+ ,554
+ ,601
+ ,622
+ ,617
+ ,606
+ ,595
+ ,599
+ ,600
+ ,592
+ ,575
+ ,567
+ ,555
+ ,555
+ ,608
+ ,631
+ ,629
+ ,624
+ ,610
+ ,616
+ ,621
+ ,604
+ ,584
+ ,574
+ ,555
+ ,545
+ ,599
+ ,620
+ ,608
+ ,590
+ ,579
+ ,580
+ ,579
+ ,572
+ ,560
+ ,551
+ ,537
+ ,541
+ ,588
+ ,607
+ ,599
+ ,578
+ ,563
+ ,566
+ ,561
+ ,554
+ ,540
+ ,526
+ ,512
+ ,505
+ ,554
+ ,584
+ ,569
+ ,540
+ ,522
+ ,526
+ ,527
+ ,516
+ ,503
+ ,489
+ ,479
+ ,475
+ ,524
+ ,552
+ ,532
+ ,511
+ ,492
+ ,492
+ ,493
+ ,481
+ ,462
+ ,457
+ ,442
+ ,439
+ ,488
+ ,521
+ ,501
+ ,485
+ ,464
+ ,460
+ ,467
+ ,460
+ ,448
+ ,443
+ ,436
+ ,431
+ ,484
+ ,510
+ ,513
+ ,503
+ ,471
+ ,471
+ ,476
+ ,475
+ ,470
+ ,461
+ ,455
+ ,456
+ ,517
+ ,525
+ ,523
+ ,519
+ ,509
+ ,512
+ ,519
+ ,517
+ ,510
+ ,509
+ ,501
+ ,507
+ ,569
+ ,580
+ ,578
+ ,565
+ ,547
+ ,555
+ ,562
+ ,561
+ ,555
+ ,544
+ ,537
+ ,543
+ ,594
+ ,611
+ ,613
+ ,611
+ ,594
+ ,595
+ ,591
+ ,589
+ ,584
+ ,573
+ ,567
+ ,569
+ ,621
+ ,629
+ ,628
+ ,612
+ ,595
+ ,597
+ ,593
+ ,590
+ ,580
+ ,574
+ ,573
+ ,573
+ ,620
+ ,626
+ ,620
+ ,588
+ ,566
+ ,557
+ ,561
+ ,549
+ ,532
+ ,526
+ ,511
+ ,499
+ ,555
+ ,565
+ ,542
+ ,527
+ ,510
+ ,514
+ ,517
+ ,508
+ ,493
+ ,490
+ ,469
+ ,478
+ ,528
+ ,534
+ ,518
+ ,506
+ ,502
+ ,516
+ ,528
+ ,533
+ ,536
+ ,537
+ ,524
+ ,536
+ ,587
+ ,597
+ ,581
+ ,564
+ ,558)
> 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] 359
> (np <- floor(n / par1))
[1] 29
> 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] [,13]
 [1,]  349  414  510  580  602  619  540  531  494   444   413   423   461
 [2,]  336  411  509  574  589  596  521  508  476   429   399   419   451
 [3,]  331  408  502  563  574  570  505  495  458   421   386   406   443
 [4,]  327  410  495  556  558  546  491  482  443   400   374   398   439
 [5,]  323  411  490  546  552  528  482  470  430   389   365   390   430
 [6,]  322  416  490  545  546  506  478  466  424   384   365   391   436
 [7,]  385  479  553  605  607  555  523  515  476   432   418   444   488
 [8,]  405  498  570  628  636  568  531  518  481   446   428   460   506
 [9,]  412  502  573  631  631  564  532  516  470   431   424   455   502
[10,]  411  498  572  626  623  553  540  511  460   423   421   456   501
[11,]  410  499  575  614  618  541  525  500  451   416   417   452   501
[12,]  415  506  580  606  605  542  533  498  450   416   423   459   515
      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
 [1,]   521   594   600   621   579   561   527   493   467   476   519   562
 [2,]   520   586   592   604   572   554   516   481   460   475   517   561
 [3,]   512   572   575   584   560   540   503   462   448   470   510   555
 [4,]   509   563   567   574   551   526   489   457   443   461   509   544
 [5,]   505   555   555   555   537   512   479   442   436   455   501   537
 [6,]   511   554   555   545   541   505   475   439   431   456   507   543
 [7,]   570   601   608   599   588   554   524   488   484   517   569   594
 [8,]   592   622   631   620   607   584   552   521   510   525   580   611
 [9,]   594   617   629   608   599   569   532   501   513   523   578   613
[10,]   586   606   624   590   578   540   511   485   503   519   565   611
[11,]   586   595   610   579   563   522   492   464   471   509   547   594
[12,]   592   599   616   580   566   526   492   460   471   512   555   595
      [,26] [,27] [,28] [,29]
 [1,]   591   593   561   517
 [2,]   589   590   549   508
 [3,]   584   580   532   493
 [4,]   573   574   526   490
 [5,]   567   573   511   469
 [6,]   569   573   499   478
 [7,]   621   620   555   528
 [8,]   629   626   565   534
 [9,]   628   620   542   518
[10,]   612   588   527   506
[11,]   595   566   510   502
[12,]   597   557   514   516
> 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] 368.8333 454.3333 534.9167 589.5000 595.0833 557.3333 516.7500 500.8333
 [9] 459.4167 419.2500 402.7500 429.4167 472.7500 549.8333 588.6667 596.8333
[17] 588.2500 570.0833 541.0833 507.6667 474.4167 469.7500 491.5000 538.0833
[25] 576.6667 596.2500 588.3333 532.5833 504.9167
> arr.sd
 [1] 40.43363 45.04812 38.17057 32.58137 31.15783 29.79729 22.18978 19.88985
 [9] 21.05170 19.74899 24.01562 27.97550 32.17601 39.15896 23.00329 27.80724
[17] 23.71852 21.61421 23.97142 23.41069 24.57071 28.17841 28.19574 30.42265
[25] 29.10587 21.97571 22.71297 21.83183 19.57948
> arr.range
 [1]  93  98  90  86  90 113  62  65  70  62  63  70  85  89  68  76  76  70  79
[20]  77  82  82  70  79  76  62  69  66  65
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
   35.15752     -0.01506  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
       4.5862        -0.2088  

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

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

Coefficients:
(Intercept)     arr.mean  
  73.482445     0.006793  

> postscript(file="/var/www/html/rcomp/tmp/1w3me1260564096.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/2kcd51260564096.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/3dn4h1260564096.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/rcomp/tmp/4ipn61260564096.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/5jjsc1260564096.tab") 
> 
> system("convert tmp/1w3me1260564096.ps tmp/1w3me1260564096.png")
> system("convert tmp/2kcd51260564096.ps tmp/2kcd51260564096.png")
> 
> 
> proc.time()
   user  system elapsed 
  0.536   0.276   0.658