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*The author of this computation has been verified*
R Software Module: /rwasp_tukeylambda.wasp (opens new window with default values)
Title produced by software: Tukey lambda PPCC Plot
Date of computation: Wed, 11 Nov 2009 09:25:25 -0700
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2009/Nov/11/t1257956778ylp1a0s6bwouqyi.htm/, Retrieved Wed, 11 Nov 2009 17:26:18 +0100
 
BibTeX entries for LaTeX users:
@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2009/Nov/11/t1257956778ylp1a0s6bwouqyi.htm/},
    year = {2009},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2009},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}
 
Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
shwws6vr16
 
Dataseries X:
» Textbox « » Textfile « » CSV «
100 87,14054095 112,0054296 112,312101 109,474134 104,9746116 100,4926851 104,2154743 120,1768388 112,1028355 108,1481575 116,802197 102,1699512 95,15358705 120,6707808 111,5234277 119,9669448 113,3697401 110,0717661 111,5567342 132,424212 107,900558 122,1626615 124,3992258 110,4450505 101,5874013 122,3203962 125,2582826 125,4411543 108,9902468 118,9243879 116,7242723 134,1724901 116,8530994 124,5732995 130,9914031 123,4239103 111,4536725 124,5135991 139,2589613 129,8596099 112,3460359 131,381655 133,0004776 134,3220552 144,2379719 134,1278719 150,1891559 140,722563 114,8389975 143,1973003 140,2738676 112,1248303 102,8951536 100,5090242 103,3513901 111,4134533 104,5887587 101,7840983 114,7007441 108,7426474
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24


Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.694934472288418
Exact Logistic (lambda=0)0.982772843774107
Approx. Normal (lambda=0.14)0.987521624412545
U-shaped (lambda=0.5)0.98460810506931
Exactly Uniform (lambda=1)0.97597473293643
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Nov/11/t1257956778ylp1a0s6bwouqyi/1nyra1257956722.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/11/t1257956778ylp1a0s6bwouqyi/1nyra1257956722.ps (open in new window)


 
Parameters (Session):
 
Parameters (R input):
 
R code (references can be found in the software module):
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)
}
bitmap(file='test1.png')
plot((-100:100)/100,c[1:201],xlab='lambda',ylab='correlation',main='PPCC Plot - Tukey lambda')
grid()
dev.off()
load(file='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='mytable.tab')
 





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Software written by Ed van Stee & Patrick Wessa


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