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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 computationSun, 26 Oct 2008 02:33:26 -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/26/t1225010039gunb2r82hj4wcoo.htm/, Retrieved Sat, 18 May 2024 13:59:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18814, Retrieved Sat, 18 May 2024 13:59:00 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsInvestigating Distributions
Estimated Impact168

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Data Series] [Werkloosheid, bru...] [2008-10-13 18:17:44] [6743688719638b0cb1c0a6e0bf433315]
-   PD  [Univariate Data Series] [Reeks 1 Werkloosheid] [2008-10-20 05:40:56] [6743688719638b0cb1c0a6e0bf433315]
F RMP       [Tukey lambda PPCC Plot] [Investigating Dis...] [2008-10-26 08:33:26] [9b05d7ef5dbcfba4217d280d9092f628] [Current]
Feedback Forum
2008-12-01 18:57:47 [8e2cc0b2ef568da46d009b2f601285b2] [reply] 
De student heeft de juiste techniek toegepast maar komt tot de conclusie dat de hoogste correlatie zich niet voordoet bij lambda = 0,14. De student bespreekt dit spijtig genoeg niet verder wat de mogelijke gevolgen hiervan zijn. Een normaal verdeling doet zich voor bij lambda = 0,14. Vermits de gevonde correlatie zich voordoet bij 0.5 kunnen we al stellen dat deze reeks niet normaal verdeeld is.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
569
580
578
565
547
555
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561
555
544
537
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594
611
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611
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569
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628
612
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566
557
561
549
532
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555
565
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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 time1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18814&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18814&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18814&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' @ 72.249.127.135






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.658237974131817
Exact Logistic (lambda=0)0.980929859116424
Approx. Normal (lambda=0.14)0.988126664959712
U-shaped (lambda=0.5)0.988363027443174
Exactly Uniform (lambda=1)0.980562496534658

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.658237974131817 \tabularnewline
Exact Logistic (lambda=0) & 0.980929859116424 \tabularnewline
Approx. Normal (lambda=0.14) & 0.988126664959712 \tabularnewline
U-shaped (lambda=0.5) & 0.988363027443174 \tabularnewline
Exactly Uniform (lambda=1) & 0.980562496534658 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18814&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]0.658237974131817[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.980929859116424[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.988126664959712[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.988363027443174[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.980562496534658[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18814&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18814&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)0.658237974131817
Exact Logistic (lambda=0)0.980929859116424
Approx. Normal (lambda=0.14)0.988126664959712
U-shaped (lambda=0.5)0.988363027443174
Exactly Uniform (lambda=1)0.980562496534658


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')