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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 05:34:26 -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/t1258115711p7l60i4j6c69miq.htm/, Retrieved Sun, 05 May 2024 12:15:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=56516, Retrieved Sun, 05 May 2024 12:15:21 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact136

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]
-   PD    [Tukey lambda PPCC Plot] [SHw WS6] [2009-11-13 12:34:26] [d9efc2d105d810fc0b0ac636e31105d1] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
100
108
125
109
92
126
63
51
129
115
96
101
106
93
120
96
99
129
62
56
119
92
90
105
102
99
107
90
90
108
62
53
97
96
103
88
100
95
109
92
96
100
62
64
110
119
93
84
101
92
91
110
85
120
74
59
121
124
100
121

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=56516&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]1 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=56516&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=56516&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.650625277195321
Exact Logistic (lambda=0)0.964067633498372
Approx. Normal (lambda=0.14)0.969459522203584
U-shaped (lambda=0.5)0.965681118292991
Exactly Uniform (lambda=1)0.954469975124575

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.650625277195321 \tabularnewline
Exact Logistic (lambda=0) & 0.964067633498372 \tabularnewline
Approx. Normal (lambda=0.14) & 0.969459522203584 \tabularnewline
U-shaped (lambda=0.5) & 0.965681118292991 \tabularnewline
Exactly Uniform (lambda=1) & 0.954469975124575 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=56516&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]0.650625277195321[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.964067633498372[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.969459522203584[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.965681118292991[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.954469975124575[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=56516&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=56516&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)0.650625277195321
Exact Logistic (lambda=0)0.964067633498372
Approx. Normal (lambda=0.14)0.969459522203584
U-shaped (lambda=0.5)0.965681118292991
Exactly Uniform (lambda=1)0.954469975124575


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = red ; par2 = blue ; par3 = TRUE ; par4 = Faill_brussel ; par5 = Faill_waalsgewest ;
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')