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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_tukeylambda.wasp
Title produced by softwareTukey lambda PPCC Plot
Date of computationWed, 30 Nov 2011 08:20:26 -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/2011/Nov/30/t13226592511qayxeqcbyfjbxx.htm/, Retrieved Fri, 29 Mar 2024 09:02:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=148933, Retrieved Fri, 29 Mar 2024 09:02:10 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact74
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Tukey lambda PPCC Plot] [] [2011-11-30 13:20:26] [05d3841c0e91f0207133db830e88168b] [Current]
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Dataseries X:
23
24
22
20
24
27
28
27
24
23
24
27
27
28
27
23
24
28
27
25
19
24
20
28
26
23
23
20
11
24
25
23
18
20
20
24
23
25
28
26
26
23
22
24
21
20
22
20
25
20
22
23
25
23
23
22
24
25
21
12
17
20
23
23
20
28
24
24
24
24
28
25
21
25
25
18
17
26
28
21
27
22
21
25
22
23
26
19
25
21
13
24
25
26
25
25
22
21
23
25
24
21
21
25
22
20
20
23
28
23
28
24
18
20
28
21
21
25
19
18
21
22
24
15
28
26
23
26
20
22
20
23
22
24
23
22
26
23
27
23
21
26
23
21
27
19
23
25
23
22
22
25
25
28
28
20
25
19
25
22
18
20




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148933&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148933&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148933&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' @ jenkins.wessa.net







Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.576646683891581
Exact Logistic (lambda=0)0.972439936943605
Approx. Normal (lambda=0.14)0.973690680366105
U-shaped (lambda=0.5)0.962135796170261
Exactly Uniform (lambda=1)0.948140755243007

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.576646683891581 \tabularnewline
Exact Logistic (lambda=0) & 0.972439936943605 \tabularnewline
Approx. Normal (lambda=0.14) & 0.973690680366105 \tabularnewline
U-shaped (lambda=0.5) & 0.962135796170261 \tabularnewline
Exactly Uniform (lambda=1) & 0.948140755243007 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148933&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]0.576646683891581[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.972439936943605[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.973690680366105[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.962135796170261[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.948140755243007[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148933&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148933&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)0.576646683891581
Exact Logistic (lambda=0)0.972439936943605
Approx. Normal (lambda=0.14)0.973690680366105
U-shaped (lambda=0.5)0.962135796170261
Exactly Uniform (lambda=1)0.948140755243007



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')