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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, 06 Nov 2009 01:46:13 -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/06/t1257497301369jkw6fhl5grmx.htm/, Retrieved Sun, 28 Apr 2024 03:00:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=54226, Retrieved Sun, 28 Apr 2024 03:00:24 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact191

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] [t l] [2009-11-06 08:46:13] [950726a732ba3ca782ecb1a5307d0f6f] [Current]
-           [Tukey lambda PPCC Plot] [Paper] [2009-12-10 16:29:52] [3e19a07d230ba260a720e0e03e0f40f2]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
79
106
101
104
97
93
99
116
104
99
109
93
91
111
105
114
103
105
106
125
103
114
123
102
101
121
120
119
102
118
114
130
113
119
129
116
110
124
133
129
105
127
127
128
133
122
141
127
110
136
132
110
97
96
98
106
98
94
107
98

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=54226&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=54226&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=54226&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)0.685352823491853
Exact Logistic (lambda=0)0.980967646676788
Approx. Normal (lambda=0.14)0.98820850045364
U-shaped (lambda=0.5)0.990547432346477
Exactly Uniform (lambda=1)0.985861149168471

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.685352823491853 \tabularnewline
Exact Logistic (lambda=0) & 0.980967646676788 \tabularnewline
Approx. Normal (lambda=0.14) & 0.98820850045364 \tabularnewline
U-shaped (lambda=0.5) & 0.990547432346477 \tabularnewline
Exactly Uniform (lambda=1) & 0.985861149168471 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=54226&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]0.685352823491853[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.980967646676788[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.98820850045364[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.990547432346477[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.985861149168471[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=54226&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=54226&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)0.685352823491853
Exact Logistic (lambda=0)0.980967646676788
Approx. Normal (lambda=0.14)0.98820850045364
U-shaped (lambda=0.5)0.990547432346477
Exactly Uniform (lambda=1)0.985861149168471


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')