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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 computationMon, 27 Oct 2008 14:42:05 -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/t1225140180xw85odro94rmwko.htm/, Retrieved Sun, 19 May 2024 14:43:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=19596, Retrieved Sun, 19 May 2024 14:43:28 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsQ8: Can you find a symmetric distribution that describes the random component?
Estimated Impact129

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] [Investigating dis...] [2007-10-22 19:59:15] [b9964c45117f7aac638ab9056d451faa]
F    D    [Tukey lambda PPCC Plot] [taak 4 q8 symmetr...] [2008-10-27 20:42:05] [3efbb18563b4564408d69b3c9a8e9a6e] [Current]
Feedback Forum
2008-10-29 18:22:57 [Romina Machiels] [reply] 
deze vraag werd juist beantwoord.
2008-10-30 18:09:43 [Bob Leysen] [reply] 
Goed antwoord.

U-shaped (lambda=0.5) 0.993483761746223
2008-11-01 15:41:09 [Natascha Meeus] [reply] 
De vraag werd correct beantwoord.

(lambda=0.14)0.990115504832352U-shaped
2008-11-02 16:44:16 [Bernard Femont] [reply] 
De vraag werd correct beantwoord.
2008-11-03 18:04:14 [An De Koninck] [reply] 
Ik ben het ermee eens dat de vraag juist beantwoord werd.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
565
547
555
562
561
555
544
537
543
594
611
613
611
594
595
591
589
584
573
567
569
621
629
628
612
595
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590
580
574
573
573
620
626
620
588
566
557
561
549
532
526
511
499
555
565
542
527
510
514
517
508
493
490
469
478
528
534
518

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=19596&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=19596&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=19596&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.651979782869489
Exact Logistic (lambda=0)0.981366094202881
Approx. Normal (lambda=0.14)0.990115504832352
U-shaped (lambda=0.5)0.993483761746223
Exactly Uniform (lambda=1)0.987925261617169

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.651979782869489 \tabularnewline
Exact Logistic (lambda=0) & 0.981366094202881 \tabularnewline
Approx. Normal (lambda=0.14) & 0.990115504832352 \tabularnewline
U-shaped (lambda=0.5) & 0.993483761746223 \tabularnewline
Exactly Uniform (lambda=1) & 0.987925261617169 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=19596&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]0.651979782869489[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.981366094202881[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.990115504832352[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.993483761746223[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.987925261617169[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=19596&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=19596&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)0.651979782869489
Exact Logistic (lambda=0)0.981366094202881
Approx. Normal (lambda=0.14)0.990115504832352
U-shaped (lambda=0.5)0.993483761746223
Exactly Uniform (lambda=1)0.987925261617169


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')