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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 computationMon, 27 Oct 2008 16:28:35 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Oct/27/t12251465386lwohxxw63hmms9.htm/, Retrieved Sun, 19 May 2024 13:18:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=19692, Retrieved Sun, 19 May 2024 13:18:53 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact138

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F       [Tukey lambda PPCC Plot] [] [2008-10-27 22:28:35] [e0f4dc76ea1a8276fe566258b977cec4] [Current]
Feedback Forum
2008-10-31 14:12:38 [Stijn Van de Velde] [reply] 
De hoogste correaltie waarde scheelt amper 0.6% met deze van Approx. Normal (lambda=0.14).
We nemen daarom best deze laatste, omdat deze er op duid dat de tijdreeks een normaal verdeling heeft.
2008-11-01 11:37:57 [2df1bcd103d52957f4a39bd4617794c8] [reply] 
De hoogste correlatie 0.982475905249084 nemen we waar bij Exact Logistic lambda 0. Dit wijst erop dat de tijdsreeks geen normaalverdeling heeft.
2008-11-03 09:44:31 [Bas van Keken] [reply] 
Dus is de datareeks niet robuust
2008-11-03 09:45:47 [256f97d8b7c07ed49f142eff724c6520] [reply] 
Exact Logistic (lambda=0) 0.982475905249084
De lambda =0 geeft u het grootste percentage.
Hier kan je inderdaad spreken van geen normale verdeling. De gegevens zijn dus niet robuust en komen weinig overeen.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
8,7800
8,8300
8,8300
8,8500
8,7400
8,7100
8,6800
8,5900
8,6400
8,6100
8,5900
8,5800
8,5700
8,5600
8,5500
8,5700
8,5300
8,5900
8,5500
8,5400
8,5600
8,5300
8,5500
8,5600
8,4800
8,5000
8,5400
8,4900
8,5100
8,5000
8,5900
8,5600
8,4500
8,4800
8,4800
8,4900
8,5200
8,4900
8,5700
8,5900
8,5700
8,5300
8,5700
8,5300
8,5400
8,4800
8,4800
8,5300
8,5700
8,4900
8,5400
8,5400
8,5600
8,6100
8,6700
8,6900
8,6900
8,7200
8,6600
8,6000
8,1100
8,1400
8,1800
8,1900
8,2200
8,2800
8,2800
8,3400
8,4100
8,3800
8,3800
8,3800
8,3900
8,4200
8,4400
8,4400
8,4400
8,4300
8,4000
8,4200

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'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=19692&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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=19692&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=19692&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'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.709476966279319
Exact Logistic (lambda=0)0.982475905249084
Approx. Normal (lambda=0.14)0.976659942755904
U-shaped (lambda=0.5)0.95235724348796
Exactly Uniform (lambda=1)0.929121508196889

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.709476966279319 \tabularnewline
Exact Logistic (lambda=0) & 0.982475905249084 \tabularnewline
Approx. Normal (lambda=0.14) & 0.976659942755904 \tabularnewline
U-shaped (lambda=0.5) & 0.95235724348796 \tabularnewline
Exactly Uniform (lambda=1) & 0.929121508196889 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=19692&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]0.709476966279319[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.982475905249084[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.976659942755904[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.95235724348796[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.929121508196889[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=19692&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=19692&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)0.709476966279319
Exact Logistic (lambda=0)0.982475905249084
Approx. Normal (lambda=0.14)0.976659942755904
U-shaped (lambda=0.5)0.95235724348796
Exactly Uniform (lambda=1)0.929121508196889


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')