R version 3.0.2 (2013-09-25) -- "Frisbee Sailing"
Copyright (C) 2013 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

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> x <- c(0.01,0.11,0.05,0.04,0.10,0.04,0.05,0.06,0.02,0.01,0.03,0.06,0.07,0.08,0.04,0.03,0.05,0.06,0.12,0.09,0.10,0.02,0.01,0.01,0.05,0.06,0.03,0.03,0.03,0.04,0.05,0.06,0.01,0.01,0.02,0.05,0.06,0.04,0.01,0.02,0.05,0.05,0.06,0.04,0.03,0.02,0.03,0.04,0.05,0.07,0.09,0.12,0.06,0.08,0.07,0.04,0.03,0.04,0.06,0.08)
> par4 = '10'
> par3 = '0.1'
> par2 = '0.5'
> par1 = '0.1'
> par4 <- '10'
> par3 <- '0.1'
> par2 <- '0.5'
> par1 <- '0.1'
> #'GNU S' R Code compiled by R2WASP v. 1.2.327 ()
> #Author: root
> #To cite this work: Wessa P., (2014), Maximum-likelihood Beta Distribution Fitting (v1.0.5) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_fitdistrbeta.wasp/
> #Source of accompanying publication: Office for Research, Development, and Education
> #
> library(MASS)
> PPCCBeta <- function(shape1, shape2, x)
+ {
+ x <- sort(x)
+ pp <- ppoints(x)
+ cor(qbeta(pp, shape1=shape1, shape2=shape2), x)
+ }
> par1 <- as.numeric(par1)
> par2 <- as.numeric(par2)
> par3 <- as.numeric(par3)
> par4 <- as.numeric(par4)
> if (par1 < 0.1) par1 <- 0.1
> if (par1 > 10) par1 <- 10
> if (par2 < 0.1) par2 <- 0.1
> if (par2 > 10) par2 <- 10
> if (par3 < 0.1) par3 <- 0.1
> if (par3 > 10) par3 <- 10
> if (par4 < 0.1) par4 <- 0.1
> if (par4 > 10) par4 <- 10
> par1h <- par1*10
> par2h <- par2*10
> par3h <- par3*10
> par4h <- par4*10
> sortx <- sort(x)
> c <- array(NA,dim=c(par2h,par4h))
> for (i in par1h:par2h)
+ {
+ for (j in par3h:par4h)
+ {
+ c[i,j] <- cor(qbeta(ppoints(x), shape1=i/10,shape2=j/10),sortx)
+ }
+ }
> postscript(file="/var/wessaorg/rcomp/tmp/1f12s1419959560.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> filled.contour((par1h:par2h)/10,(par3h:par4h)/10,c[par1h:par2h,par3h:par4h],xlab='shape1',ylab='shape2',main='PPCC Contour Plot - Beta')
> dev.off()
null device 
          1 
> xbar <- mean(x)
> xvar <- var(x)
> (a <- (xbar*(1-xbar)/xvar - 1)*xbar)
[1] 2.87076
> (b <- (1-xbar)*a/xbar)
[1] 55.71617
> (f<-fitdistr(x, 'beta',list(shape1=a,shape2=b)))
     shape1       shape2  
   2.6363979   51.2051418 
 ( 0.4542238) ( 9.6657496)
> xlab <- paste('Beta(shape1=',round(f$estimate[[1]],2))
> xlab <- paste(xlab,', shape2=')
> xlab <- paste(xlab,round(f$estimate[[2]],2))
> xlab <- paste(xlab,')')
> postscript(file="/var/wessaorg/rcomp/tmp/2jeuw1419959560.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> myser <- qbeta(ppoints(x), shape1=f$estimate[[1]], shape2=f$estimate[[2]])
> qqplot(myser, x, main='QQ plot (Beta)', xlab=xlab )
> grid()
> dev.off()
null device 
          1 
> 
> #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/wessaorg/rcomp/createtable")
> 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Parameter',1,TRUE)
> a<-table.element(a,'Estimated Value',1,TRUE)
> a<-table.element(a,'Standard Deviation',1,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'shape1',header=TRUE)
> a<-table.element(a,f$estimate[1])
> a<-table.element(a,f$sd[1])
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'shape2',header=TRUE)
> a<-table.element(a,f$estimate[2])
> a<-table.element(a,f$sd[2])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/wessaorg/rcomp/tmp/34blu1419959560.tab") 
> 
> try(system("convert tmp/1f12s1419959560.ps tmp/1f12s1419959560.png",intern=TRUE))
character(0)
> try(system("convert tmp/2jeuw1419959560.ps tmp/2jeuw1419959560.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.288   0.162   1.458