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.

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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(100
+ ,108.1560276
+ ,114.0150276
+ ,102.1880309
+ ,110.3672031
+ ,96.8602511
+ ,94.1944583
+ ,99.51621961
+ ,94.06333487
+ ,97.5541476
+ ,78.15062422
+ ,81.2434643
+ ,92.36262465
+ ,96.06324371
+ ,114.0523777
+ ,110.6616666
+ ,104.9171949
+ ,90.00187193
+ ,95.7008067
+ ,86.02741157
+ ,84.85287668
+ ,100.04328
+ ,80.91713823
+ ,74.06539709
+ ,77.30281369
+ ,97.23043249
+ ,90.75515676
+ ,100.5614455
+ ,92.01293267
+ ,99.24012138
+ ,105.8672755
+ ,90.9920463
+ ,93.30624423
+ ,91.17419413
+ ,77.33295039
+ ,91.1277721
+ ,85.01249943
+ ,83.90390242
+ ,104.8626302
+ ,110.9039108
+ ,95.43714373
+ ,111.6238727
+ ,108.8925403
+ ,96.17511682
+ ,101.9740205
+ ,99.11953031
+ ,86.78158147
+ ,118.4195003
+ ,118.7441447
+ ,106.5296192
+ ,134.7772694
+ ,104.6778714
+ ,105.2954304
+ ,139.4139849
+ ,103.6060491
+ ,99.78182974
+ ,103.4610301
+ ,120.0594945
+ ,96.71377168
+ ,107.1308929
+ ,105.3608372
+ ,111.6942359
+ ,132.0519998
+ ,126.8037879
+ ,154.4824253
+ ,141.5570984
+ ,109.9506882
+ ,127.904198
+ ,133.0888617
+ ,120.0796299
+ ,117.5557142
+ ,143.0362309
+ ,159.982927
+ ,128.5991124
+ ,149.7373327
+ ,126.8169313
+ ,140.9639674
+ ,137.6691981
+ ,117.9402337
+ ,122.3095247
+ ,127.7804207
+ ,136.1677176
+ ,116.2405856
+ ,123.1576893
+ ,116.3400234
+ ,108.6119282
+ ,125.8982264
+ ,112.8003105
+ ,107.5182447
+ ,135.0955413
+ ,115.5096488
+ ,115.8640759
+ ,104.5883906
+ ,163.7213386
+ ,113.4482275
+ ,98.0428844
+ ,116.7868521
+ ,126.5330444
+ ,113.0336597
+ ,124.3392163
+ ,109.8298759
+ ,124.4434777
+ ,111.5039454
+ ,102.0350019
+ ,116.8726598
+ ,112.2073122
+ ,101.1513902
+ ,124.4255108)
> 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] 108
> (np <- floor(n / par1))
[1] 9
> 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]
 [1,] 100.00000  92.36262  77.30281  85.01250 118.74414 105.3608 159.9829
 [2,] 108.15603  96.06324  97.23043  83.90390 106.52962 111.6942 128.5991
 [3,] 114.01503 114.05238  90.75516 104.86263 134.77727 132.0520 149.7373
 [4,] 102.18803 110.66167 100.56145 110.90391 104.67787 126.8038 126.8169
 [5,] 110.36720 104.91719  92.01293  95.43714 105.29543 154.4824 140.9640
 [6,]  96.86025  90.00187  99.24012 111.62387 139.41398 141.5571 137.6692
 [7,]  94.19446  95.70081 105.86728 108.89254 103.60605 109.9507 117.9402
 [8,]  99.51622  86.02741  90.99205  96.17512  99.78183 127.9042 122.3095
 [9,]  94.06333  84.85288  93.30624 101.97402 103.46103 133.0889 127.7804
[10,]  97.55415 100.04328  91.17419  99.11953 120.05949 120.0796 136.1677
[11,]  78.15062  80.91714  77.33295  86.78158  96.71377 117.5557 116.2406
[12,]  81.24346  74.06540  91.12777 118.41950 107.13089 143.0362 123.1577
           [,8]     [,9]
 [1,] 116.34002 116.7869
 [2,] 108.61193 126.5330
 [3,] 125.89823 113.0337
 [4,] 112.80031 124.3392
 [5,] 107.51824 109.8299
 [6,] 135.09554 124.4435
 [7,] 115.50965 111.5039
 [8,] 115.86408 102.0350
 [9,] 104.58839 116.8727
[10,] 163.72134 112.2073
[11,] 113.44823 101.1514
[12,]  98.04288 124.4255
> 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]  98.02573  94.13882  92.24195 100.25885 111.68262 126.96381 132.28047
[8] 118.11990 115.26350
> arr.sd
[1] 10.628695 11.972626  8.428946 11.256366 13.678396 14.826499 13.145821
[8] 17.274110  8.605556
> arr.range
[1] 35.86440 39.98698 28.56446 34.51560 42.70021 49.12159 43.74234 65.67845
[9] 25.38165
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
    -0.1169       0.1121  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
       -2.311          1.021  

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

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

Coefficients:
(Intercept)     arr.mean  
     -3.779        0.404  

> postscript(file="/var/www/html/rcomp/tmp/107uq1259939451.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/2tbwl1259939451.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/3y5c31259939451.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/rcomp/tmp/4geos1259939451.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/53xai1259939451.tab") 
> system("convert tmp/107uq1259939451.ps tmp/107uq1259939451.png")
> system("convert tmp/2tbwl1259939451.ps tmp/2tbwl1259939451.png")
> 
> 
> proc.time()
   user  system elapsed 
  0.504   0.275   0.589