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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, 13 Nov 2009 07:16:32 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Nov/13/t1258121922z2pml9vyifxfjne.htm/, Retrieved Wed, 11 Feb 2026 13:34:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=56674, Retrieved Wed, 11 Feb 2026 13:34:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsWorkshop 6 - PPCC Tukey Lambda
Estimated Impact436

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] [3/11/2009] [2009-11-02 22:14:51] [b98453cac15ba1066b407e146608df68]
-    D  [Tukey lambda PPCC Plot] [Ws6.8 PPCC Turkey...] [2009-11-11 15:40:26] [e0fc65a5811681d807296d590d5b45de]
- R  D      [Tukey lambda PPCC Plot] [shw-ws6] [2009-11-13 14:16:32] [5b5bced41faf164488f2c271c918b21f] [Current]
-    D        [Tukey lambda PPCC Plot] [PPCC-tukey_Lambda] [2009-12-29 13:50:17] [2663058f2a5dda519058ac6b2228468f]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
112,39
97,59
142,30
120,79
121,24
104,61
119,86
117,81
91,86
117,37
112,84
101,95
120,52
102,84
137,41
118,97
125,01
118,57
130,61
116,30
99,15
110,26
107,59
107,01
113,77
93,33
147,32
124,48
106,79
134,39
111,41
132,43
98,26
109,81
115,28
108,97
99,19
105,46
138,97
124,52
117,37
123,86
116,39
124,70
97,46
103,24
112,39
107,19
100,53
95,73
143,54
101,99
120,66
121,46
102,97
121,32
85,02
106,21
110,39
87,10

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'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=56674&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=56674&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=56674&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'Gwilym Jenkins' @ 72.249.127.135






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.702249832505587
Exact Logistic (lambda=0)0.989721193599498
Approx. Normal (lambda=0.14)0.992740123373025
U-shaped (lambda=0.5)0.985908947644023
Exactly Uniform (lambda=1)0.974237013534972

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.702249832505587 \tabularnewline
Exact Logistic (lambda=0) & 0.989721193599498 \tabularnewline
Approx. Normal (lambda=0.14) & 0.992740123373025 \tabularnewline
U-shaped (lambda=0.5) & 0.985908947644023 \tabularnewline
Exactly Uniform (lambda=1) & 0.974237013534972 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=56674&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]0.702249832505587[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.989721193599498[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.992740123373025[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.985908947644023[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.974237013534972[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=56674&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=56674&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)0.702249832505587
Exact Logistic (lambda=0)0.989721193599498
Approx. Normal (lambda=0.14)0.992740123373025
U-shaped (lambda=0.5)0.985908947644023
Exactly Uniform (lambda=1)0.974237013534972


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')