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Author

*The author of this computation has been verified*

R Software Module

rwasp_tukeylambda.wasp

Title produced by software

Tukey lambda PPCC Plot

Date of computation

Mon, 14 Dec 2015 22:30:11 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Dec/14/t1450132313kyko30b2upniynr.htm/, Retrieved Thu, 16 May 2024 08:22:30 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=286416, Retrieved Thu, 16 May 2024 08:22:30 +0000

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Original text written by user:

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Estimated Impact

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Tukey lambda PPCC Plot] [paper23] [2015-12-14 22:30:11] [1e67203134127d491eaf7d256835640d] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Sir Maurice George Kendall' @ kendall.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286416&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286416&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286416&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Sir Maurice George Kendall' @ kendall.wessa.net

Tukey Lambda - Key Values
Distribution (lambda)	Correlation
Approx. Cauchy (lambda=-1)	0.728776069834836
Exact Logistic (lambda=0)	0.976532477204613
Approx. Normal (lambda=0.14)	0.985489205051458
U-shaped (lambda=0.5)	0.992675851324349
Exactly Uniform (lambda=1)	0.991083614194305

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.728776069834836 \tabularnewline
Exact Logistic (lambda=0) & 0.976532477204613 \tabularnewline
Approx. Normal (lambda=0.14) & 0.985489205051458 \tabularnewline
U-shaped (lambda=0.5) & 0.992675851324349 \tabularnewline
Exactly Uniform (lambda=1) & 0.991083614194305 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286416&T=1

[TABLE]
[ROW][C]Tukey Lambda - Key Values[/C][/ROW]
[ROW][C]Distribution (lambda)[/C][C]Correlation[/C][/ROW]
[ROW][C]Approx. Cauchy (lambda=-1)[/C][C]0.728776069834836[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.976532477204613[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.985489205051458[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.992675851324349[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.991083614194305[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286416&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286416&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Tukey Lambda - Key Values
Distribution (lambda)	Correlation
Approx. Cauchy (lambda=-1)	0.728776069834836
Exact Logistic (lambda=0)	0.976532477204613
Approx. Normal (lambda=0.14)	0.985489205051458
U-shaped (lambda=0.5)	0.992675851324349
Exactly Uniform (lambda=1)	0.991083614194305

Figure 1

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Postscript link

PDF link

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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Input Parameters & R Code