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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

Sun, 28 Dec 2008 07:31:48 -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/28/t1230474730y9la37ngxsw1z9f.htm/, Retrieved Sat, 18 May 2024 09:43:46 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=36711, Retrieved Sat, 18 May 2024 09:43:46 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Paper - PPCC-plot - Regression Model

Estimated Impact

262

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

-     [Tukey lambda PPCC Plot] [Paper - PPCC-plot...] [2007-12-18 21:12:27] [5343e105a400b9e32bf6f011133bbaf4]
-   PD    [Tukey lambda PPCC Plot] [Paper - PPCC-plot...] [2008-12-28 14:31:48] [3efbb18563b4564408d69b3c9a8e9a6e] [Current]

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Dataseries X:

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Histogram

Boxplots

2.61072861587664
-1.64151512748939
-5.53397130675664
-11.8684507675144
4.92307208512571
6.26712823161773
-2.76872599233773
-3.56312607919330
3.84610531691476
3.92414528449639
-2.60085355983359
-4.52415672464345
0.712363410392165
-3.83027221556495
1.64369314986718
5.1373157082981
-4.77891279135298
-0.543348509239105
10.7317442356705
-7.66239213978311
-6.30680235597392
-7.34729981849825
0.617800822224108
2.85035364935883
1.77740032934145
-3.90118201853709
4.6323076169406
-1.74030963922678
-3.27944132766354
1.09665938498306
7.05463838922537
2.50775091630909
-4.16477564673257
-3.97156359496111
-4.61876313016936
-1.80864980481552
-0.236907168104795
-3.15041173459177
3.37110805438328
-2.30793345402054
2.737897737493
-1.58208769004317
-2.47767476900079
0.167763916859109
1.76974633325578
0.440544884754961
-2.45008188331654
4.47063460393658
-6.94943202424074
8.91682112964061
-0.296516314946182
2.40580572796091
-1.75212202583747
5.39306701500983
6.30609401440519
7.82784320522538
-2.60554495964265
1.29269020570918
1.09083902934299
0.640809564220057
-0.654553416503333
3.45822878067978
1.27021269162882
-1.88415061828193
0.908614567669563

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	'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=36711&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=36711&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36711&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	'Gwilym Jenkins' @ 72.249.127.135

Tukey Lambda - Key Values
Distribution (lambda)	Correlation
Approx. Cauchy (lambda=-1)	0.730218220646096
Exact Logistic (lambda=0)	0.99610656539003
Approx. Normal (lambda=0.14)	0.9969656772212
U-shaped (lambda=0.5)	0.987169746594525
Exactly Uniform (lambda=1)	0.974635947979704

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.730218220646096 \tabularnewline
Exact Logistic (lambda=0) & 0.99610656539003 \tabularnewline
Approx. Normal (lambda=0.14) & 0.9969656772212 \tabularnewline
U-shaped (lambda=0.5) & 0.987169746594525 \tabularnewline
Exactly Uniform (lambda=1) & 0.974635947979704 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36711&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]0.730218220646096[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.99610656539003[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.9969656772212[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.987169746594525[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.974635947979704[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36711&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36711&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)	0.730218220646096
Exact Logistic (lambda=0)	0.99610656539003
Approx. Normal (lambda=0.14)	0.9969656772212
U-shaped (lambda=0.5)	0.987169746594525
Exactly Uniform (lambda=1)	0.974635947979704

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 0 ; par2 = 36 ;

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code