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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 computationMon, 11 Dec 2017 13:58:24 +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/11/t1512997117m9y57ab4wpe7iey.htm/, Retrieved Tue, 10 Feb 2026 19:14:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=308963, Retrieved Tue, 10 Feb 2026 19:14:43 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact304

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] [Verdeling Afrika] [2017-12-11 12:58:24] [b96fd9fc55b2111e8fcab34a88822fe0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0,66
0,91
0,66
0,53
0,57
0,65
0,72
0,55
0,34
0,62
0,58
0,54
0,64
0,49
0,49
0,93
0,82
0,68
0,98
0,96
0,73
0,28
0,97
0,76
0,60
0,24
0,24
0,34
0,89
0,51
0,81
1,00
0,56
0,54
0,64
0,46
0,25
0,25
0,44
0,30
0,32
0,67
0,30
0,14
0,01
0,01
0,05
0,11
0,43
0,71
0,40
0,47
0,54
0,33
0,07
0,19
0,25
0,51
0,47
0,61
0,94
0,42
0,21
0,32

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308963&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]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=308963&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308963&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 time1 seconds
R ServerBig Analytics Cloud Computing Center






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.63455672311221
Exact Logistic (lambda=0)0.98238604042828
Approx. Normal (lambda=0.14)0.991426682147138
U-shaped (lambda=0.5)0.994451197691909
Exactly Uniform (lambda=1)0.988081989952064

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.63455672311221 \tabularnewline
Exact Logistic (lambda=0) & 0.98238604042828 \tabularnewline
Approx. Normal (lambda=0.14) & 0.991426682147138 \tabularnewline
U-shaped (lambda=0.5) & 0.994451197691909 \tabularnewline
Exactly Uniform (lambda=1) & 0.988081989952064 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308963&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]0.63455672311221[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.98238604042828[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.991426682147138[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.994451197691909[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.988081989952064[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308963&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308963&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)0.63455672311221
Exact Logistic (lambda=0)0.98238604042828
Approx. Normal (lambda=0.14)0.991426682147138
U-shaped (lambda=0.5)0.994451197691909
Exactly Uniform (lambda=1)0.988081989952064


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')