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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 computationSat, 16 Oct 2010 11:09:03 +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/Oct/16/t12872272816svs2jkif4nkfle.htm/, Retrieved Sat, 27 Apr 2024 14:12:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=83704, Retrieved Sat, 27 Apr 2024 14:12:28 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact130

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] [Intrinsic Motivat...] [2010-10-12 12:09:04] [b98453cac15ba1066b407e146608df68]
F    D    [Tukey lambda PPCC Plot] [intr. 3] [2010-10-16 11:09:03] [c2e23af56713b360851e64c7775b3f2b] [Current]
Feedback Forum
2010-10-23 09:21:04 [48eb36e2c01435ad7e4ea7854a9d98fe] [reply] 
Hier stelt men vast dat het verschil tussen de correlatiewaarden voor Lambda gelijk aan 0,5 en Lambda gelijk aan 0,14 zeer klein is. Dit maakt dat er interpretatie in verband met de vorm van de grafiek mogelijk is.
Men kan de verdeling van de gegevens - wanneer men heel strikt kijkt - beschouwen als 'U- shaped', maar men kan ook spreken van een normaalverdeling gezien het zeer kleine verschil.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
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Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=83704&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]0 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=83704&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=83704&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 time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.518871720339169
Exact Logistic (lambda=0)0.98552599432662
Approx. Normal (lambda=0.14)0.994395269862472
U-shaped (lambda=0.5)0.99470108646308
Exactly Uniform (lambda=1)0.986822832768485

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.518871720339169 \tabularnewline
Exact Logistic (lambda=0) & 0.98552599432662 \tabularnewline
Approx. Normal (lambda=0.14) & 0.994395269862472 \tabularnewline
U-shaped (lambda=0.5) & 0.99470108646308 \tabularnewline
Exactly Uniform (lambda=1) & 0.986822832768485 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=83704&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]0.518871720339169[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.98552599432662[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.994395269862472[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.99470108646308[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.986822832768485[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=83704&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=83704&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)0.518871720339169
Exact Logistic (lambda=0)0.98552599432662
Approx. Normal (lambda=0.14)0.994395269862472
U-shaped (lambda=0.5)0.99470108646308
Exactly Uniform (lambda=1)0.986822832768485


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')