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, 13 Dec 2017 13:19:20 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Dec/13/t1513168036l72p49fqlk42zb9.htm/, Retrieved Wed, 15 May 2024 23:23:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=309267, Retrieved Wed, 15 May 2024 23:23:29 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact80

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] [] [2017-12-13 12:19:20] [30e08ccf92bdf95f8dcbf6f321363364] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
10
11
11
13
7
12
11
12
12
12
11
12
10
12
10
15
12
15
13
12
12
9
12
8
10
11
14
14
11
11
11
10
8
12
10
12
8
10
9
12
15
13
11
12
12
9
14
10
14
12
15
9
14
10
11
11
12
11
10
13
8
9
9
15
8
13
10
13
15
10
9
12
12
12
12
10
9
12
12
12
8
11
10
15
13
11
12
11
11
14
14
14
12
10
12
11
15
9
11
14
10
12
10
12
13
13
12
12
9
10
7
12
12
12
13
12
15
8
7
9
11
11
6
6
8
11
12
13
9
10
9
10
12
7
13
10
10
11
8
12
4
13
13
10
12
6
8
13
12
10
10
10
8
11
12
12
12
11
12
10
12
13
10
7
11
10
12
11
10
12
11
14
12
12
10
11
12
12
12
8
11
8
6
13
11
9
11
14
9
13
12
12
11
9
7
10
12
11
11
11
13
11
8
11
10
12
8
13
10
11
11
8
13
12
9
15
12
14
7
11
10
7
11
11
10
9
11
12
10
13
10
10
12
12
12
12
12
12
7
14
9
8
13
6
12
8
6
6
12
10
9
11
14
6
9
11
9
8
6
10
6
9
12
12
13
12
12
10
9
12
14
6
13
12
13
6
12
10
9
12
7
10
11
15
10
12
10
12
11
11
12
15
12
11
9
11
11
9
15
12
9
12
12
9
9
11
12
12
12
12
6
11
12
9
11
9
10
10
9
12
11
9
9
12
6
10
12
11
14
8
9
10
10
10
11
10
12
14
10
8
8
7
11
6
9
12
12
12
9
15
15
13
9
12
9
15
11
11
6
14
11
8
10
10
9
8
9
10
11
14
12
9
13
8
12
14
9
10
12
12
9
9
12
15
12
11
8
11
11
10
12
9
11
15
14
6
9
9
8
7
10
6
9
9
7
11
9
12
9
10
11
7
12
8
13
11
11
12
11
12
3
10
13
10
6
11
12
9
10
15
9
6
9
15
15
9
11
9
11
10
9
6
12
13
12
12

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time0 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309267&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]0 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=309267&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309267&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R ServerBig Analytics Cloud Computing Center






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.416108394150775
Exact Logistic (lambda=0)0.976878457993066
Approx. Normal (lambda=0.14)0.981888835754145
U-shaped (lambda=0.5)0.973730661878626
Exactly Uniform (lambda=1)0.960500758763737

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.416108394150775 \tabularnewline
Exact Logistic (lambda=0) & 0.976878457993066 \tabularnewline
Approx. Normal (lambda=0.14) & 0.981888835754145 \tabularnewline
U-shaped (lambda=0.5) & 0.973730661878626 \tabularnewline
Exactly Uniform (lambda=1) & 0.960500758763737 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309267&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]0.416108394150775[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.976878457993066[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.981888835754145[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.973730661878626[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.960500758763737[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309267&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309267&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)0.416108394150775
Exact Logistic (lambda=0)0.976878457993066
Approx. Normal (lambda=0.14)0.981888835754145
U-shaped (lambda=0.5)0.973730661878626
Exactly Uniform (lambda=1)0.960500758763737


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')