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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> x <- c(100.00,99.95,102.07,102.02,102.63,102.88,103.01,104.33,105.21,104.73,104.17,103.69,104.33,105.21,105.31,105.54,106.70,106.60,105.01,104.33,104.17,103.42,102.33,101.82,103.57,103.90,104.58,105.03,105.67,105.69,105.72,105.84,105.79,105.39,105.97,106.50,107.13,109.36,109.36,108.42,107.94,108.10,108.40,110.55,111.81,112.55,111.66,111.38,113.10,115.18,121.07,123.07,123.40,122.92,122.39,123.55,124.97,124.87,123.27,121.96,122.49,125.68,126.76,126.44,125.35,126.01,127.45,130.58,133.09,133.34,132.84,133.80)
> #'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!)
> gp <- function(lambda, p)
+ {
+ (p^lambda-(1-p)^lambda)/lambda
+ }
> sortx <- sort(x)
> c <- array(NA,dim=c(201))
> for (i in 1:201)
+ {
+ if (i != 101) c[i] <- cor(gp(ppoints(x), lambda=(i-101)/100),sortx)
+ }
> postscript(file="/var/www/html/freestat/rcomp/tmp/1i0201258048799.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> plot((-100:100)/100,c[1:201],xlab='lambda',ylab='correlation',main='PPCC Plot - Tukey lambda')
> grid()
> dev.off()
null device 
          1 
> 
> #Note: the /var/www/html/freestat/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/html/freestat/rcomp/createtable")
> 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Tukey Lambda - Key Values',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Distribution (lambda)',1,TRUE)
> a<-table.element(a,'Correlation',1,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Approx. Cauchy (lambda=-1)',header=TRUE)
> a<-table.element(a,c[1])
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Exact Logistic (lambda=0)',header=TRUE)
> a<-table.element(a,(c[100]+c[102])/2)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Approx. Normal (lambda=0.14)',header=TRUE)
> a<-table.element(a,c[115])
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'U-shaped (lambda=0.5)',header=TRUE)
> a<-table.element(a,c[151])
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Exactly Uniform (lambda=1)',header=TRUE)
> a<-table.element(a,c[201])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/freestat/rcomp/tmp/2kbe71258048799.tab") 
> 
> system("convert tmp/1i0201258048799.ps tmp/1i0201258048799.png")
> 
> 
> proc.time()
   user  system elapsed 
  0.650   0.290   0.713