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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 computationFri, 11 Dec 2015 13:42:13 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Dec/11/t1449841346vmo9gvgq6ej4q2j.htm/, Retrieved Thu, 16 May 2024 13:10:17 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=285948, Retrieved Thu, 16 May 2024 13:10:17 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact90

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] [] [2015-12-11 13:42:13] [33f7124a987e21c75039d3065d74d143] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
7.5
6
6.5
1
1
5.5
8.5
6.5
4.5
2
5
0.5
5
5
2.5
5
5.5
3.5
3
4
0.5
6.5
4.5
7.5
5.5
4
7.5
7
4
5.5
2.5
5.5
3.5
2.5
4.5
4.5
4.5
6
2.5
5
0
5
6.5
5
6
4.5
5.5
1
7.5
6
5
1
5
6.5
7
4.5
0
8.5
3.5
7.5
3.5
6
1.5
9
3.5
3.5
4
6.5
7.5
6
5
5.5
3.5
7.5
6.5
6.5
6.5
7
3.5
1.5
4
7.5
4.5
0
3.5
5.5
5
4.5
2.5
7.5
7
0
4.5
3
1.5
3.5
2.5
5.5
8
1
5
4.5
3
3
8
2.5
7
0
1
3.5
5.5
5.5
0.5
7.5
9
9.5
8.5
7
8
10
7
8.5
9
9.5
4
6
8
5.5
9.5
7.5
7
7.5
8
7
7
6
10
2.5
9
8
6
8.5
6
9
8
9
5.5
7
5.5
9
2
8.5
9
8.5
9
7.5
10
9
7.5
6
10.5
8.5
8
10
10.5
6.5
9.5
8.5
7.5
5
8
10
7
7.5
7.5
9.5
6
10
7
3
6
7
10
7
3.5
8
10
5.5
6
6.5
6.5
8.5
4
9.5
8
8.5
5.5
7
9
8
10
8
6
8
5
9
4.5
8.5
9.5
8.5
7.5
7.5
5
7
8
5.5
8.5
9.5
7
8
8.5
3.5
6.5
6.5
10.5
8.5
8
10
10
9.5
9
10
7.5
4.5
4.5
0.5
6.5
4.5
5.5
5
6
4
8
10.5
6.5
8
8.5
5.5
7
5
3.5
5
9
8.5
5
9.5
3
1.5
6
0.5
6.5
7.5
4.5
8
9
7.5
8.5
7
9.5
6.5
9.5
6
8
9.5
8
8
9
5

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 0 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285948&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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285948&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285948&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 time0 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.425123898098687
Exact Logistic (lambda=0)0.972067387386079
Approx. Normal (lambda=0.14)0.982839571855788
U-shaped (lambda=0.5)0.984825421198168
Exactly Uniform (lambda=1)0.977365050568696

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.425123898098687 \tabularnewline
Exact Logistic (lambda=0) & 0.972067387386079 \tabularnewline
Approx. Normal (lambda=0.14) & 0.982839571855788 \tabularnewline
U-shaped (lambda=0.5) & 0.984825421198168 \tabularnewline
Exactly Uniform (lambda=1) & 0.977365050568696 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285948&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]0.425123898098687[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.972067387386079[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.982839571855788[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.984825421198168[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.977365050568696[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285948&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285948&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)0.425123898098687
Exact Logistic (lambda=0)0.972067387386079
Approx. Normal (lambda=0.14)0.982839571855788
U-shaped (lambda=0.5)0.984825421198168
Exactly Uniform (lambda=1)0.977365050568696


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')