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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, 15 Oct 2010 12:12:40 +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/2010/Oct/15/t1287144724bn9kiziycd8iwny.htm/, Retrieved Fri, 31 Oct 2025 16:59:59 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=83472, Retrieved Fri, 31 Oct 2025 16:59:59 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact360

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]
-    D  [Tukey lambda PPCC Plot] [Turkey Lambada] [2010-10-15 12:06:33] [3074aa973ede76ac75d398946b01602f]
-    D      [Tukey lambda PPCC Plot] [Turkey Lambada 2] [2010-10-15 12:12:40] [dcc54e7e6e8c80b7c45e040080afe6ab] [Current]
-    D        [Tukey lambda PPCC Plot] [Turkey Lambada 3] [2010-10-15 12:15:06] [3074aa973ede76ac75d398946b01602f]
-               [Tukey lambda PPCC Plot] [Turkey Lambada] [2010-10-19 09:10:14] [616fb52b46273b7e6805de1e68b3a688]
-             [Tukey lambda PPCC Plot] [Turkey Lambada] [2010-10-19 09:09:33] [616fb52b46273b7e6805de1e68b3a688]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
17
17
18
21
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28
19
22
16
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25
17
14
11
27
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8
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28
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28
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6
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10
27
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28
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26
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26
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Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 2 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=83472&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=83472&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=83472&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 time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.568937474494277
Exact Logistic (lambda=0)0.979638929264212
Approx. Normal (lambda=0.14)0.982289060668812
U-shaped (lambda=0.5)0.972679027481748
Exactly Uniform (lambda=1)0.959434494091641

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.568937474494277 \tabularnewline
Exact Logistic (lambda=0) & 0.979638929264212 \tabularnewline
Approx. Normal (lambda=0.14) & 0.982289060668812 \tabularnewline
U-shaped (lambda=0.5) & 0.972679027481748 \tabularnewline
Exactly Uniform (lambda=1) & 0.959434494091641 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=83472&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]0.568937474494277[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.979638929264212[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.982289060668812[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.972679027481748[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.959434494091641[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=83472&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=83472&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)0.568937474494277
Exact Logistic (lambda=0)0.979638929264212
Approx. Normal (lambda=0.14)0.982289060668812
U-shaped (lambda=0.5)0.972679027481748
Exactly Uniform (lambda=1)0.959434494091641


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')