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Author*The author of this computation has been verified*
R Software Module--
Title produced by softwareTukey lambda PPCC Plot
Date of computationSat, 08 Dec 2012 10:45:18 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Dec/08/t1354981524rzphfkpecvy86wp.htm/, Retrieved Fri, 29 Mar 2024 11:15:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=197660, Retrieved Fri, 29 Mar 2024 11:15:28 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact96
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Tukey lambda PPCC Plot] [Intrinsic Motivat...] [2010-10-12 12:09:04] [b98453cac15ba1066b407e146608df68]
- RM      [Tukey lambda PPCC Plot] [] [2012-12-08 15:45:18] [e3d79eec5d0d9e3c05706137ffeca8bc] [Current]
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Dataseries X:
26
20
19
19
20
25
25
22
26
22
17
22
19
24
26
21
13
26
20
22
14
21
7
23
17
25
25
19
20
23
22
22
21
15
20
22
18
20
28
22
18
23
20
25
26
15
17
23
21
13
18
19
22
16
24
18
20
24
14
22
24
18
21
23
17
22
24
21
22
16
21
23
22
24
24
16
16
21
26
15
25
18
23
20
17
25
24
17
19
20
15
27
22
23
16
19
25
19
19
26
21
20
24
22
20
18
18
24
24
22
23
22
20
18
25
18
16
20
19
15
19
19
16
17
28
23
25
20
17
23
16
23
11
18
24
23
21
16
24
23
18
20
9
24
25
20
21
25
22
21
21
22
27
24
24
21
18
16
22
20
18
20




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 2 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=197660&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=197660&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=197660&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 time2 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.593230692538358
Exact Logistic (lambda=0)0.982684996786427
Approx. Normal (lambda=0.14)0.984467688929028
U-shaped (lambda=0.5)0.974653238553651
Exactly Uniform (lambda=1)0.962355827424116

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.593230692538358 \tabularnewline
Exact Logistic (lambda=0) & 0.982684996786427 \tabularnewline
Approx. Normal (lambda=0.14) & 0.984467688929028 \tabularnewline
U-shaped (lambda=0.5) & 0.974653238553651 \tabularnewline
Exactly Uniform (lambda=1) & 0.962355827424116 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=197660&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]0.593230692538358[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.982684996786427[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.984467688929028[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.974653238553651[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.962355827424116[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=197660&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=197660&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)0.593230692538358
Exact Logistic (lambda=0)0.982684996786427
Approx. Normal (lambda=0.14)0.984467688929028
U-shaped (lambda=0.5)0.974653238553651
Exactly Uniform (lambda=1)0.962355827424116



Parameters (Session):
Parameters (R input):
par1 = ; par2 = ; par3 = ; par4 = ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;
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')