R version 2.7.0 (2008-04-22)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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Type 'demo()' for some demos, 'help()' for on-line help, or
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Type 'q()' to quit R.

> x <- c(14525.87
+ ,14295.79
+ ,13830.14
+ ,14153.22
+ ,15418.03
+ ,16666.97
+ ,16505.21
+ ,17135.96
+ ,18033.25
+ ,17671
+ ,17544.22
+ ,17677.9
+ ,18470.97
+ ,18409.96
+ ,18941.6
+ ,19685.53
+ ,19834.71
+ ,19598.93
+ ,17039.97
+ ,16969.28
+ ,16973.38
+ ,16329.89
+ ,16153.34
+ ,15311.7
+ ,14760.87
+ ,14452.93
+ ,13720.95
+ ,13266.27
+ ,12708.47
+ ,13411.84
+ ,13975.55
+ ,12974.89
+ ,12151.11
+ ,11576.21
+ ,9996.83
+ ,10438.9
+ ,10511.22
+ ,10496.2
+ ,10300.79
+ ,9981.65
+ ,11448.79
+ ,11384.49
+ ,11717.46
+ ,10965.88
+ ,10352.27
+ ,9751.2
+ ,9354.01
+ ,8792.5
+ ,8721.14
+ ,8692.94
+ ,8570.73
+ ,8538.47
+ ,8169.75
+ ,7905.84
+ ,8145.82
+ ,8895.71
+ ,9676.31
+ ,9884.59
+ ,10637.44
+ ,10717.13
+ ,10205.29
+ ,10295.98
+ ,10892.76
+ ,10631.92
+ ,11441.08
+ ,11950.95
+ ,11037.54
+ ,11527.72
+ ,11383.89
+ ,10989.34
+ ,11079.42
+ ,11028.93
+ ,10973
+ ,11068.05
+ ,11394.84
+ ,11545.71
+ ,11809.38
+ ,11395.64
+ ,11082.38
+ ,11402.75
+ ,11716.87
+ ,12204.98
+ ,12986.62
+ ,13392.79
+ ,14368.05
+ ,15650.83
+ ,16102.64
+ ,16187.64
+ ,16311.54
+ ,17232.97
+ ,16397.83
+ ,14990.31
+ ,15147.55
+ ,15786.78
+ ,15934.09
+ ,16519.44
+ ,16101.07
+ ,16775.08
+ ,17286.32
+ ,17741.23
+ ,17128.37
+ ,17460.53
+ ,17611.14
+ ,18001.37
+ ,17974.77
+ ,16460.95
+ ,16235.39
+ ,16903.36
+ ,15543.76
+ ,15532.18
+ ,13731.31
+ ,13547.84
+ ,12602.93
+ ,13357.7
+ ,13995.33
+ ,14084.6
+ ,13168.91
+ ,12989.35
+ ,12123.53
+ ,9117.03
+ ,8531.45)
> 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,] 14525.87 18470.97 14760.87 10511.22  8721.14 10205.29 10973.00 14368.05
 [2,] 14295.79 18409.96 14452.93 10496.20  8692.94 10295.98 11068.05 15650.83
 [3,] 13830.14 18941.60 13720.95 10300.79  8570.73 10892.76 11394.84 16102.64
 [4,] 14153.22 19685.53 13266.27  9981.65  8538.47 10631.92 11545.71 16187.64
 [5,] 15418.03 19834.71 12708.47 11448.79  8169.75 11441.08 11809.38 16311.54
 [6,] 16666.97 19598.93 13411.84 11384.49  7905.84 11950.95 11395.64 17232.97
 [7,] 16505.21 17039.97 13975.55 11717.46  8145.82 11037.54 11082.38 16397.83
 [8,] 17135.96 16969.28 12974.89 10965.88  8895.71 11527.72 11402.75 14990.31
 [9,] 18033.25 16973.38 12151.11 10352.27  9676.31 11383.89 11716.87 15147.55
[10,] 17671.00 16329.89 11576.21  9751.20  9884.59 10989.34 12204.98 15786.78
[11,] 17544.22 16153.34  9996.83  9354.01 10637.44 11079.42 12986.62 15934.09
[12,] 17677.90 15311.70 10438.90  8792.50 10717.13 11028.93 13392.79 16519.44
          [,9]    [,10]
 [1,] 16101.07 15543.76
 [2,] 16775.08 15532.18
 [3,] 17286.32 13731.31
 [4,] 17741.23 13547.84
 [5,] 17128.37 12602.93
 [6,] 17460.53 13357.70
 [7,] 17611.14 13995.33
 [8,] 18001.37 14084.60
 [9,] 17974.77 13168.91
[10,] 16460.95 12989.35
[11,] 16235.39 12123.53
[12,] 16903.36  9117.03
> 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] 16121.463 17809.938 12786.235 10421.372  9046.323 11038.735 11747.751
 [8] 15885.806 17139.965 13316.206
> arr.sd
 [1] 1580.4122 1539.5137 1501.1201  875.2909  955.3782  503.5846  760.8659
 [8]  769.6369  653.2786 1674.5342
> arr.range
 [1] 4203.11 4523.01 4764.04 2924.96 2811.29 1745.66 2419.79 2864.92 1900.30
[10] 6426.73
> (lm1 <- lm(arr.sd~arr.mean))

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

Coefficients:
(Intercept)     arr.mean  
    472.436        0.045  

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

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

Coefficients:
  (Intercept)  log(arr.mean)  
       1.8208         0.5359  

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

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

Coefficients:
(Intercept)     arr.mean  
  2072.9243       0.1024  

> postscript(file="/var/www/html/rcomp/tmp/1t93d1229371984.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/2irfa1229371984.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/38f481229371984.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)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/rcomp/tmp/4npee1229371984.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$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/5vahg1229371984.tab") 
> 
> system("convert tmp/1t93d1229371984.ps tmp/1t93d1229371984.png")
> system("convert tmp/2irfa1229371984.ps tmp/2irfa1229371984.png")
> 
> 
> proc.time()
   user  system elapsed 
  1.371   0.444   1.459