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Author's title

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

Fri, 05 Dec 2008 05:48:59 -0700

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/2008/Dec/05/t12284813786b7c0mhoc7oaw7y.htm/, Retrieved Thu, 16 May 2024 16:43:46 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=29219, Retrieved Thu, 16 May 2024 16:43:46 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

203

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

-     [Univariate Data Series] [Werkloosheidsgraa...] [2008-12-05 10:45:42] [e5d91604aae608e98a8ea24759233f66]
-   PD  [Univariate Data Series] [Inflatie op jaarb...] [2008-12-05 10:52:23] [e5d91604aae608e98a8ea24759233f66]
-   PD    [Univariate Data Series] [Investeringen vol...] [2008-12-05 10:58:14] [e5d91604aae608e98a8ea24759233f66]
- RMPD      [Central Tendency] [Central Tendency ...] [2008-12-05 11:16:53] [e5d91604aae608e98a8ea24759233f66]
- RMP           [Tukey lambda PPCC Plot] [PPCC plot Werkloo...] [2008-12-05 12:48:59] [55ca0ca4a201c9689dcf5fae352c92eb] [Current]

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Dataseries X:

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Histogram

Boxplots

9.4
9.4
9.5
9.5
9.4
9.4
9.3
9.4
9.4
9.2
9.1
9.1
9.1
9.1
9
8.9
8.8
8.7
8.4
8.3
8.2
7.9
7.8
7.7
7.3
7.2
7.1
6.9
6.8
6.7
6.8
6.9
6.7
6.8
6.8
6.7
6.3
6.2
6.2
6.5
6.5
6.4
6.2
6.2
6.3
7.5
7.4
7.4
7.4
7.4
7.4
7.2
7.2
7.1
7.5
7.4
7.5
8
8.1
8.1
8.1
8.1
8.1
7.9
7.9
8
8.1
8.1
8.1
8.6
8.6
8.6
8.4
8.4
8.4
7.7
7.8
7.9
8.7
8.8
8.8
8.5
8.5
8.5
8.4
8.5
8.5
8.3
8.4
8.4
8.5
8.4
8.4
8.5
8.5
8.5
8.5
8.5
8.5
8.3
8.3
8.3
8.3
8.2
8.2
8.1
8
7.8
7.9
7.8
7.7
7.8
7.7
7.6
7.3
7.3
7.1
7.1
7.1
7

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	'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29219&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=29219&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29219&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	'George Udny Yule' @ 72.249.76.132

Tukey Lambda - Key Values
Distribution (lambda)	Correlation
Approx. Cauchy (lambda=-1)	0.53331958872657
Exact Logistic (lambda=0)	0.97690924343324
Approx. Normal (lambda=0.14)	0.987374934627026
U-shaped (lambda=0.5)	0.990455106238382
Exactly Uniform (lambda=1)	0.983502115500821

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.53331958872657 \tabularnewline
Exact Logistic (lambda=0) & 0.97690924343324 \tabularnewline
Approx. Normal (lambda=0.14) & 0.987374934627026 \tabularnewline
U-shaped (lambda=0.5) & 0.990455106238382 \tabularnewline
Exactly Uniform (lambda=1) & 0.983502115500821 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29219&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]0.53331958872657[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.97690924343324[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.987374934627026[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.990455106238382[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.983502115500821[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=29219&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29219&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)	0.53331958872657
Exact Logistic (lambda=0)	0.97690924343324
Approx. Normal (lambda=0.14)	0.987374934627026
U-shaped (lambda=0.5)	0.990455106238382
Exactly Uniform (lambda=1)	0.983502115500821

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = Inflatie indexcijfer der consumptieprijzen ; par2 = http://ecodata.mineco.fgov.be/mdn/ts_structur.jsp?table=EI0_ ; par3 = Economische indicator voor België. Maandelijks, volledige tijdreeks van januari 1998 tot december 2007 - Inflatie op jaarbasis: indexcijfer der consumptieprijzen ;

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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Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code