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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, 11 Dec 2015 11:39:23 +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/2015/Dec/11/t1449834109sh9nddfhlhfelld.htm/, Retrieved Sat, 18 May 2024 14:43:58 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=285894, Retrieved Sat, 18 May 2024 14:43:58 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact90

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Multiple Regression] [Multiple Regression ] [2015-12-04 11:47:42] [8523551e1e4e3cbe97fa25692e177b2e]
- R PD  [Multiple Regression] [Multiple Regression] [2015-12-09 13:16:20] [8523551e1e4e3cbe97fa25692e177b2e]
- RMPD      [Tukey lambda PPCC Plot] [] [2015-12-11 11:39:23] [ffb19b2e6b8df4b373ead38cc7d2794e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1640
1699
1740
1852
1885
1948
1967
2002
2073
2085
2139

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' @ jenkins.wessa.net

\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' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285894&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285894&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285894&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' @ jenkins.wessa.net






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.867066154146418
Exact Logistic (lambda=0)0.976168870281638
Approx. Normal (lambda=0.14)0.98171939171365
U-shaped (lambda=0.5)0.988212519097258
Exactly Uniform (lambda=1)0.988938805680739

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.867066154146418 \tabularnewline
Exact Logistic (lambda=0) & 0.976168870281638 \tabularnewline
Approx. Normal (lambda=0.14) & 0.98171939171365 \tabularnewline
U-shaped (lambda=0.5) & 0.988212519097258 \tabularnewline
Exactly Uniform (lambda=1) & 0.988938805680739 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285894&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]0.867066154146418[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.976168870281638[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.98171939171365[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.988212519097258[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.988938805680739[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285894&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285894&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)0.867066154146418
Exact Logistic (lambda=0)0.976168870281638
Approx. Normal (lambda=0.14)0.98171939171365
U-shaped (lambda=0.5)0.988212519097258
Exactly Uniform (lambda=1)0.988938805680739


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')