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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 computationTue, 19 Oct 2010 15:47:57 +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/19/t1287503192sl8snv862el1wce.htm/, Retrieved Mon, 29 Apr 2024 04:21:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=86671, Retrieved Mon, 29 Apr 2024 04:21:41 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact97

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] [] [2010-10-19 15:47:57] [a7dcbcc9dd9573c89c41df6a7f8b5a0d] [Current]
Feedback Forum
2010-10-23 07:58:16 [] [reply] 
De normale verdeling sluit zich het best aan, want al de andere verdelingen zijn erger.
2010-10-23 11:12:26 [48eb36e2c01435ad7e4ea7854a9d98fe] [reply] 
Men stelt hier vast dat het hoogtepunt van de grafiek bereikt wordt bij Lambda gelijk aan 0,14. Dit kan men bovendien ook aflezen in de tabel. Dit betekent dus dat de verdeling die het best bij de hier bestudeerde gegevens past de normaalverdeling is.
2010-10-26 09:48:35 [] [reply] 
Approx. Normal (lambda=0.14) 0.973690680366105
De normaal verdeling ligt het dichtste bij 1. We kunnen dus met zekerheid zeggen dat we hier met een normaal verdeling te maken hebben.

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Dataset

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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 time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=86671&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=86671&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=86671&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'RServer@AstonUniversity' @ vre.aston.ac.uk






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.576646683891581
Exact Logistic (lambda=0)0.972439936943605
Approx. Normal (lambda=0.14)0.973690680366105
U-shaped (lambda=0.5)0.96213579617026
Exactly Uniform (lambda=1)0.948140755243007

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.576646683891581 \tabularnewline
Exact Logistic (lambda=0) & 0.972439936943605 \tabularnewline
Approx. Normal (lambda=0.14) & 0.973690680366105 \tabularnewline
U-shaped (lambda=0.5) & 0.96213579617026 \tabularnewline
Exactly Uniform (lambda=1) & 0.948140755243007 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=86671&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]0.576646683891581[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.972439936943605[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.973690680366105[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.96213579617026[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.948140755243007[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=86671&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=86671&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)0.576646683891581
Exact Logistic (lambda=0)0.972439936943605
Approx. Normal (lambda=0.14)0.973690680366105
U-shaped (lambda=0.5)0.96213579617026
Exactly Uniform (lambda=1)0.948140755243007


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')