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Author*The author of this computation has been verified*
R Software Modulerwasp_tukeylambda.wasp
Title produced by softwareTukey lambda PPCC Plot
Date of computationMon, 09 Nov 2009 13:34:18 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Nov/09/t125779890587nx1s9itxajdqk.htm/, Retrieved Thu, 28 Mar 2024 08:58:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=55030, Retrieved Thu, 28 Mar 2024 08:58:33 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact174
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Tukey lambda PPCC Plot] [3/11/2009] [2009-11-02 22:14:51] [b98453cac15ba1066b407e146608df68]
- R  D  [Tukey lambda PPCC Plot] [workshop 6] [2009-11-09 17:41:19] [3d8acb8ffdb376c5fec19e610f8198c2]
-   PD      [Tukey lambda PPCC Plot] [workshop 6] [2009-11-09 20:34:18] [e81f30a5c3daacfe71a556c99a478849] [Current]
-             [Tukey lambda PPCC Plot] [workshop 6] [2009-11-09 20:35:53] [3d8acb8ffdb376c5fec19e610f8198c2]
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Dataseries X:
4.8
4.8
4.7
4.7
4.7
4.6
5.0
5.4
5.5
5.6
5.6
5.8
6.0
6.1
6.1
6.0
6.0
6.1
6.5
7.1
7.4
7.4
7.5
7.6
7.8
7.8
7.7
7.6
7.5
7.3
7.6
8.0
8.8
7.9
7.8
7.7
7.8
7.7
7.5
7.3
7.1
7.0
7.3
7.8
7.9
7.9
7.8
7.8
7.9
7.8
7.6
7.4
7.2
6.9
7.1
7.5
7.6
7.4
7.3
7.2
7.3
7.2
7.1
7.0
6.9
6.8
7.2
7.6
7.7
7.6
7.5
7.5
7.6
7.6
7.6
7.5
7.3
7.2
7.4
8.0
8.2
8.0
7.7
7.7
7.8
7.8
7.7
7.5
7.3
7.1
7.1
7.2
6.8
6.6
6.4
6.4
6.5
6.3
5.9
5.5
5.2
4.9
5.4
5.8
5.7
5.6
5.5
5.4
5.4
5.4
5.5
5.8
5.7
5.4
5.6
5.8
6.2
6.8
6.7
6.7
6.4
6.3
6.3
6.4
6.3
6.0
6.3
6.3
6.6
7.5
7.8
7.9
7.8
7.6
7.5
7.6
7.5
7.3
7.6
7.5
7.6
7.9
7.9
8.1
8.2
8.0
7.5
6.8
6.5
6.6
7.6
8.0
8.1
7.7
7.5
7.6
7.8
7.8
7.8
7.5
7.5
7.1
7.5
7.5
7.6
7.7
7.7
7.9
8.1
8.2
8.2
8.2
7.9
7.3
6.9
6.6
6.7
6.9
7.0
7.1




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=55030&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=55030&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=55030&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.49086883714139
Exact Logistic (lambda=0)0.943223383171998
Approx. Normal (lambda=0.14)0.952135428308796
U-shaped (lambda=0.5)0.95329191960195
Exactly Uniform (lambda=1)0.946349357128563

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.49086883714139 \tabularnewline
Exact Logistic (lambda=0) & 0.943223383171998 \tabularnewline
Approx. Normal (lambda=0.14) & 0.952135428308796 \tabularnewline
U-shaped (lambda=0.5) & 0.95329191960195 \tabularnewline
Exactly Uniform (lambda=1) & 0.946349357128563 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=55030&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]0.49086883714139[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.943223383171998[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.952135428308796[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.95329191960195[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.946349357128563[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=55030&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=55030&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)0.49086883714139
Exact Logistic (lambda=0)0.943223383171998
Approx. Normal (lambda=0.14)0.952135428308796
U-shaped (lambda=0.5)0.95329191960195
Exactly Uniform (lambda=1)0.946349357128563



Parameters (Session):
par1 = 50 ; par2 = 50 ; par3 = 0 ; par4 = 0 ; par5 = 0 ; par6 = Y ; par7 = Y ;
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')