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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_tukeylambda.wasp
Title produced by softwareTukey lambda PPCC Plot
Date of computationFri, 07 Dec 2007 04:07:57 -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/2007/Dec/07/t1197024877cr12nm0zpt5pken.htm/, Retrieved Sun, 28 Apr 2024 21:54:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=2746, Retrieved Sun, 28 Apr 2024 21:54:15 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordslambda - vooruitzicht
Estimated Impact216

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] [investigating dis...] [2007-12-07 11:07:57] [ac6f409873aab27747ac7f3d36ded223] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
87
75
74
91
101
103
106
102
105
105
100
95
96
98
99
92
84
81
72
89
96
91
88
90
98
87
100
100
104
107
105
102
98
106
97
101
100
93
94
96
96
98
102
95
85
84
82
87
77
90
90
94
97
96
93
93
93
97
100
95
97
103
102
93
99
100
97
104
102
103
100
90
90

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\begin{tabular}{lllllllll}
\hline
Summary of compuational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=2746&T=0

[TABLE]
[ROW][C]Summary of compuational 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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=2746&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2746&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.654841364429298
Exact Logistic (lambda=0)0.965425823248754
Approx. Normal (lambda=0.14)0.968479843910478
U-shaped (lambda=0.5)0.961110965088725
Exactly Uniform (lambda=1)0.948962550572629

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.654841364429298 \tabularnewline
Exact Logistic (lambda=0) & 0.965425823248754 \tabularnewline
Approx. Normal (lambda=0.14) & 0.968479843910478 \tabularnewline
U-shaped (lambda=0.5) & 0.961110965088725 \tabularnewline
Exactly Uniform (lambda=1) & 0.948962550572629 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=2746&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]0.654841364429298[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.965425823248754[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.968479843910478[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.961110965088725[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.948962550572629[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=2746&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2746&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)0.654841364429298
Exact Logistic (lambda=0)0.965425823248754
Approx. Normal (lambda=0.14)0.968479843910478
U-shaped (lambda=0.5)0.961110965088725
Exactly Uniform (lambda=1)0.948962550572629


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')