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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, 13 Dec 2010 14:59:55 +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/Dec/13/t1292252306spr1xuwlll75pi4.htm/, Retrieved Mon, 06 May 2024 14:10:38 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=108959, Retrieved Mon, 06 May 2024 14:10:38 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact115

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Maximum-likelihood Fitting - Normal Distribution] [PAPER BAEYENS (No...] [2010-12-13 14:18:53] [e4076051fbfb461c886b1e223cd7862f]
- RMPD    [Tukey lambda PPCC Plot] [PAPER BAEYENS (Tu...] [2010-12-13 14:59:55] [2953e4eb3235e2fd3d6373a16d27c72f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
5
3
0
7
4
1
6
3
12
0
5
6
6
6
2
1
5
7
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3
3
7
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3
5
5
10
2
6
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6
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4
5
10
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7
4
10
4
3
3
3
3
7
15
0
0
4
5
5
2
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9
2
7
7
0
0
10
2
1
8
6
11
3
8
6
9
9
8
8
7
6
5
4
6
3
2
12
8
5
9
6
5
2
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7
5
6
7
8
6
0
1
5
5
5
7
7
1
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8
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2
2
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3
0
2
8
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0
5
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3
9
7
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0
7
0
5
0
14
5
2
8
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2
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9
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10
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10
7
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10
5

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108959&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108959&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108959&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.543286657611873
Exact Logistic (lambda=0)0.97759260724249
Approx. Normal (lambda=0.14)0.984641593830972
U-shaped (lambda=0.5)0.98261780051923
Exactly Uniform (lambda=1)0.973754660177016

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.543286657611873 \tabularnewline
Exact Logistic (lambda=0) & 0.97759260724249 \tabularnewline
Approx. Normal (lambda=0.14) & 0.984641593830972 \tabularnewline
U-shaped (lambda=0.5) & 0.98261780051923 \tabularnewline
Exactly Uniform (lambda=1) & 0.973754660177016 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108959&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]0.543286657611873[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.97759260724249[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.984641593830972[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.98261780051923[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.973754660177016[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108959&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108959&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)0.543286657611873
Exact Logistic (lambda=0)0.97759260724249
Approx. Normal (lambda=0.14)0.984641593830972
U-shaped (lambda=0.5)0.98261780051923
Exactly Uniform (lambda=1)0.973754660177016


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')