FreeStatistics.org

Free Statistics

of Irreproducible Research!

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, 10 Dec 2014 16:48:04 +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/2014/Dec/10/t14182300891imqcfrj3egfrbx.htm/, Retrieved Sun, 19 May 2024 13:01:06 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=265503, Retrieved Sun, 19 May 2024 13:01:06 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact62

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] [Intrinsic Motivat...] [2010-10-12 12:09:04] [b98453cac15ba1066b407e146608df68]
- RMPD  [Tukey lambda PPCC Plot] [] [2014-12-10 15:18:44] [2add28fdfb91c9297fa0715b27e01e1f]
-    D    [Tukey lambda PPCC Plot] [] [2014-12-10 15:19:40] [2add28fdfb91c9297fa0715b27e01e1f]
-    D      [Tukey lambda PPCC Plot] [] [2014-12-10 15:20:33] [2add28fdfb91c9297fa0715b27e01e1f]
-    D        [Tukey lambda PPCC Plot] [] [2014-12-10 16:45:48] [2add28fdfb91c9297fa0715b27e01e1f]
-    D            [Tukey lambda PPCC Plot] [] [2014-12-10 16:48:04] [b4b65124834fa3a3e625dd03af063494] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
15
15
14
19
15
15
18
17
21
9
17
15
21
18
19
18
20
19
16
21
21
17
19
20
17
21
17
15
19
18
19
17
19
19
17
19
17
16
14
19
13
16
17
19
16
18
20
19
19
16
19
17
18
19
19
21
21
18
13
15
21
21
21
14
17
15
18
13
15
18
15
16
16
13
20
12
20
17
14
18
20
18
19
20
17
17
17
17
21
16
19
15
18
16
18
18
18
17
18
16
20
18
20
21
21
17
21
18
21
19
15
17
18
12
20
19
18
14
12
16
16
16
19
14
20
18
21
21
15
16
20
15
16
20
17
21
9
17
19
19
13
19
21
18
20
18
11
15
16
16
16
21
17
18
18
20
15
13
20
16
18
15
19
17
15
11
18
21
18
17
18
19
16
18
14
15
21
13
19
18
15
14
15
20
21
15
18
20
21
20
20
18
18
17
18
14
12
18
16
20
14
6
10
18
19
21
21
17
13
20
21
17
20
18
19
21
16
20
19
21
17
21
20
16
16
20
17
14
18
20
18
19
15
20
21
17
16
18
18
5
18
16
21
18
12
14
21
16
18
16
16
20
19
20
19
18
18
18
19
19
16
11
18
15
17
18
13
15
18
18
20
20
17
19
16
17
15
18
19
17
12
13
21
20
18
18
17
21
14
14
16
19
17
15
18
18
16
20
16
18
20
20
21
15
18
21
20
15
15
9
16
21
18
18
18
16
21
17
5
20
20
20
14
17
18
13
17
16
21
14
14
21
13
16
18
18
13
19
19
20
20
19
20
13
14
18
19
17
14
19
20
16
16
18
18
17
16
17
20
12
21
21
18
21
18
18
19
19
20
18
17
13
20
20
21
15
19
18
21
19
19
14
21
21
20
19
19
21
17
12
15
18
21
19
17
20
17
18
16
18
17
18
15
16
20
21
14
19
16
19
13
17
16
16
18
16
19
21
19
19
21
19
18
20
15
18
17
17
16
17
15
19
21
18
16
18
14
16
21
18
21
15
20
20
17
14
18
16
15
18
21
21
14
19
19
18
20
21
21
20
21
17
21
16
18
21
14
16
18
20
12
18
20
21
17
18
21
18
21
15
15
21
21
8
18
19
19

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'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=265503&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=265503&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=265503&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'Gwilym Jenkins' @ jenkins.wessa.net






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.425833229122193
Exact Logistic (lambda=0)0.954637780618087
Approx. Normal (lambda=0.14)0.957994178865809
U-shaped (lambda=0.5)0.949489444118583
Exactly Uniform (lambda=1)0.937790824214277

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.425833229122193 \tabularnewline
Exact Logistic (lambda=0) & 0.954637780618087 \tabularnewline
Approx. Normal (lambda=0.14) & 0.957994178865809 \tabularnewline
U-shaped (lambda=0.5) & 0.949489444118583 \tabularnewline
Exactly Uniform (lambda=1) & 0.937790824214277 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=265503&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]0.425833229122193[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.954637780618087[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.957994178865809[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.949489444118583[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.937790824214277[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=265503&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=265503&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)0.425833229122193
Exact Logistic (lambda=0)0.954637780618087
Approx. Normal (lambda=0.14)0.957994178865809
U-shaped (lambda=0.5)0.949489444118583
Exactly Uniform (lambda=1)0.937790824214277


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0 ; par2 = no ;
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')