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Description of Statistical Computation

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, 11 Nov 2009 05:51:07 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Nov/11/t1257943915juxuirhmof4nsz7.htm/, Retrieved Thu, 18 Apr 2024 20:47:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=55546, Retrieved Thu, 18 Apr 2024 20:47:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact141

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Tukey lambda PPCC Plot] [3/11/2009] [2009-11-02 22:14:51] [b98453cac15ba1066b407e146608df68]
-    D    [Tukey lambda PPCC Plot] [] [2009-11-11 12:51:07] [791a4a78a0a7ca497fb8791b982a539e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
5
1.3
0
1.3
3
1.3
-1
-1.3
-2
-0.3
0.7
-6
-1
3
-2
-1.3
1.7
4
5.3
-3
1.3
8.7
7.3
7.3
7.7
4.7
4.7
3.7
8.3
8
8.3
12.7
11.7
9.7
9.3
9.3
7.7
8.3
7.7
7
4.3
-0.3
4.7
2
0.3
-1.7
1.3
-12.3
-14.3
-15.7
-16.7
-19
-27.3
-26.7
-26.3
-28.6
-22.9
-21.9
-17.6
-17.6
-20.8

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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=55546&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=55546&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=55546&T=0

As an alternative you can also use a QR Code:  
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' @ 72.249.127.135






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.607939445494174
Exact Logistic (lambda=0)0.918024753224098
Approx. Normal (lambda=0.14)0.925116642036366
U-shaped (lambda=0.5)0.925371434933401
Exactly Uniform (lambda=1)0.917414526530896

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.607939445494174 \tabularnewline
Exact Logistic (lambda=0) & 0.918024753224098 \tabularnewline
Approx. Normal (lambda=0.14) & 0.925116642036366 \tabularnewline
U-shaped (lambda=0.5) & 0.925371434933401 \tabularnewline
Exactly Uniform (lambda=1) & 0.917414526530896 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=55546&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]0.607939445494174[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.918024753224098[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.925116642036366[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.925371434933401[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.917414526530896[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=55546&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=55546&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.607939445494174
Exact Logistic (lambda=0)0.918024753224098
Approx. Normal (lambda=0.14)0.925116642036366
U-shaped (lambda=0.5)0.925371434933401
Exactly Uniform (lambda=1)0.917414526530896


Figures (Output of Computation)

Input Parameters & R Code

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')