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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 08:25:56 -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/t13226595640kfjxsfuye6rk6g.htm/, Retrieved Thu, 28 Mar 2024 21:45:30 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=148942, Retrieved Thu, 28 Mar 2024 21:45:30 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact88
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 13:25:56] [05d3841c0e91f0207133db830e88168b] [Current]
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Dataseries X:
17
17
18
21
20
28
19
22
16
18
25
17
14
11
27
20
22
22
21
23
17
24
14
17
23
24
24
8
22
23
25
21
24
15
22
21
25
16
28
23
21
21
26
22
21
18
12
25
17
24
15
13
26
16
24
21
20
14
25
25
20
22
20
26
18
22
24
17
24
20
19
20
15
23
26
22
20
24
26
21
25
13
20
22
23
28
22
20
6
21
20
18
23
20
24
22
21
18
21
23
23
15
21
24
23
21
21
20
11
22
27
25
18
20
24
10
27
21
21
18
15
24
22
14
28
18
26
17
19
22
18
24
15
18
26
11
26
21
23
23
15
22
26
16
20
18
22
16
19
20
19
23
24
25
21
21
23
27
23
18
16
16




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148942&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148942&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148942&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'Gertrude Mary Cox' @ cox.wessa.net







Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.568937474494277
Exact Logistic (lambda=0)0.979638929264212
Approx. Normal (lambda=0.14)0.982289060668812
U-shaped (lambda=0.5)0.972679027481748
Exactly Uniform (lambda=1)0.959434494091641

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.568937474494277 \tabularnewline
Exact Logistic (lambda=0) & 0.979638929264212 \tabularnewline
Approx. Normal (lambda=0.14) & 0.982289060668812 \tabularnewline
U-shaped (lambda=0.5) & 0.972679027481748 \tabularnewline
Exactly Uniform (lambda=1) & 0.959434494091641 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148942&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]0.568937474494277[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.979638929264212[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.982289060668812[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.972679027481748[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.959434494091641[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148942&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148942&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)0.568937474494277
Exact Logistic (lambda=0)0.979638929264212
Approx. Normal (lambda=0.14)0.982289060668812
U-shaped (lambda=0.5)0.972679027481748
Exactly Uniform (lambda=1)0.959434494091641



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')