R version 2.8.0 (2008-10-20)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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Type 'contributors()' for more information and
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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(9005.73
+ ,9018.68
+ ,9349.44
+ ,9327.78
+ ,9753.63
+ ,10443.5
+ ,10853.87
+ ,10704.02
+ ,11052.23
+ ,10935.47
+ ,10714.03
+ ,10394.48
+ ,10817.9
+ ,11251.2
+ ,11281.26
+ ,10539.68
+ ,10483.39
+ ,10947.43
+ ,10580.27
+ ,10582.92
+ ,10654.41
+ ,11014.51
+ ,10967.87
+ ,10433.56
+ ,10665.78
+ ,10666.71
+ ,10682.74
+ ,10777.22
+ ,10052.6
+ ,10213.97
+ ,10546.82
+ ,10767.2
+ ,10444.5
+ ,10314.68
+ ,9042.56
+ ,9220.75
+ ,9721.84
+ ,9978.53
+ ,9923.81
+ ,9892.56
+ ,10500.98
+ ,10179.35
+ ,10080.48
+ ,9492.44
+ ,8616.49
+ ,8685.4
+ ,8160.67
+ ,8048.1
+ ,8641.21
+ ,8526.63
+ ,8474.21
+ ,7916.13
+ ,7977.64
+ ,8334.59
+ ,8623.36
+ ,9098.03
+ ,9154.34
+ ,9284.73
+ ,9492.49
+ ,9682.35
+ ,9762.12
+ ,10124.63
+ ,10540.05
+ ,10601.61
+ ,10323.73
+ ,10418.4
+ ,10092.96
+ ,10364.91
+ ,10152.09
+ ,10032.8
+ ,10204.59
+ ,10001.6
+ ,10411.75
+ ,10673.38
+ ,10539.51
+ ,10723.78
+ ,10682.06
+ ,10283.19
+ ,10377.18
+ ,10486.64
+ ,10545.38
+ ,10554.27
+ ,10532.54
+ ,10324.31
+ ,10695.25
+ ,10827.81
+ ,10872.48
+ ,10971.19
+ ,11145.65
+ ,11234.68
+ ,11333.88
+ ,10997.97
+ ,11036.89
+ ,11257.35
+ ,11533.59
+ ,11963.12
+ ,12185.15
+ ,12377.62
+ ,12512.89
+ ,12631.48
+ ,12268.53
+ ,12754.8
+ ,13407.75
+ ,13480.21
+ ,13673.28
+ ,13239.71
+ ,13557.69
+ ,13901.28
+ ,13200.58
+ ,13406.97
+ ,12538.12
+ ,12419.57
+ ,12193.88
+ ,12656.63
+ ,12812.48
+ ,12056.67
+ ,11322.38
+ ,11530.75
+ ,11114.08
+ ,9181.73
+ ,8614.55)
> 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] 121
> (np <- floor(n / par1))
[1] 10
> 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]
 [1,]  9005.73 10817.90 10665.78  9721.84 8641.21  9762.12 10411.75 10695.25
 [2,]  9018.68 11251.20 10666.71  9978.53 8526.63 10124.63 10673.38 10827.81
 [3,]  9349.44 11281.26 10682.74  9923.81 8474.21 10540.05 10539.51 10872.48
 [4,]  9327.78 10539.68 10777.22  9892.56 7916.13 10601.61 10723.78 10971.19
 [5,]  9753.63 10483.39 10052.60 10500.98 7977.64 10323.73 10682.06 11145.65
 [6,] 10443.50 10947.43 10213.97 10179.35 8334.59 10418.40 10283.19 11234.68
 [7,] 10853.87 10580.27 10546.82 10080.48 8623.36 10092.96 10377.18 11333.88
 [8,] 10704.02 10582.92 10767.20  9492.44 9098.03 10364.91 10486.64 10997.97
 [9,] 11052.23 10654.41 10444.50  8616.49 9154.34 10152.09 10545.38 11036.89
[10,] 10935.47 11014.51 10314.68  8685.40 9284.73 10032.80 10554.27 11257.35
[11,] 10714.03 10967.87  9042.56  8160.67 9492.49 10204.59 10532.54 11533.59
[12,] 10394.48 10433.56  9220.75  8048.10 9682.35 10001.60 10324.31 11963.12
          [,9]    [,10]
 [1,] 12185.15 13200.58
 [2,] 12377.62 13406.97
 [3,] 12512.89 12538.12
 [4,] 12631.48 12419.57
 [5,] 12268.53 12193.88
 [6,] 12754.80 12656.63
 [7,] 13407.75 12812.48
 [8,] 13480.21 12056.67
 [9,] 13673.28 11322.38
[10,] 13239.71 11530.75
[11,] 13557.69 11114.08
[12,] 13901.28  9181.73
> 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] 10129.405 10796.200 10282.961  9440.054  8767.142 10218.291 10511.166
 [8] 11155.822 12999.199 12036.153
> arr.sd
 [1]  783.6741  293.9014  584.1740  837.4894  572.5434  241.5151  141.5297
 [8]  345.8751  606.8201 1144.5458
> arr.range
 [1] 2046.50  847.70 1734.66 2452.88 1766.22  839.49  440.59 1267.87 1716.13
[10] 4225.24
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
  169.91979      0.03623  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
       2.8170         0.3601  

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

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

Coefficients:
(Intercept)     arr.mean  
  -274.3092       0.1888  

> postscript(file="/var/www/html/rcomp/tmp/1grqt1229280160.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/2gz831229280160.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/3ss711229280160.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/rcomp/tmp/4tjmf1229280160.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/5w6u11229280160.tab") 
> 
> system("convert tmp/1grqt1229280160.ps tmp/1grqt1229280160.png")
> system("convert tmp/2gz831229280160.ps tmp/2gz831229280160.png")
> 
> 
> proc.time()
   user  system elapsed 
  0.518   0.299   0.610