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ws 6

*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: Sat, 07 Nov 2009 07:24:16 -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/07/t12576039517hyvxs1o7tmnkq7.htm/, Retrieved Sat, 07 Nov 2009 15:25:51 +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/07/t12576039517hyvxs1o7tmnkq7.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:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
100 100 93.5483871 88.17204301 89.24731183 91.39784946 92.47311828 91.39784946 88.17204301 87.09677419 84.94623656 92.47311828 93.5483871 93.5483871 91.39784946 90.32258065 91.39784946 93.5483871 93.5483871 92.47311828 91.39784946 89.24731183 86.02150538 88.17204301 87.09677419 87.09677419 86.02150538 84.94623656 84.94623656 86.02150538 86.02150538 84.94623656 86.02150538 82.79569892 77.41935484 80.64516129 78.49462366 75.2688172 75.2688172 75.2688172 77.41935484 78.49462366 76.34408602 73.11827957 68.8172043 65.59139785 69.89247312 82.79569892 84.94623656 80.64516129 74.19354839 70.96774194 74.19354839 82.79569892 86.02150538 86.02150538 82.79569892 78.49462366 79.56989247 87.09677419
 
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'RServer@AstonUniversity' @ vre.aston.ac.uk


Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.694466609816797
Exact Logistic (lambda=0)0.98148959802274
Approx. Normal (lambda=0.14)0.98584440764319
U-shaped (lambda=0.5)0.982077573730277
Exactly Uniform (lambda=1)0.972785151091302
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Nov/07/t12576039517hyvxs1o7tmnkq7/1xxpw1257603852.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/07/t12576039517hyvxs1o7tmnkq7/1xxpw1257603852.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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