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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 computationThu, 23 Oct 2008 11:48:25 -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/23/t1224784147xka6q9y90d1b8ab.htm/, Retrieved Fri, 17 May 2024 01:43:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18561, Retrieved Fri, 17 May 2024 01:43:18 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact175

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Central Tendency] [Q1 central tenden...] [2007-10-18 09:35:57] [b731da8b544846036771bbf9bf2f34ce]
F RMPD  [Univariate Explorative Data Analysis] [Model investering...] [2008-10-23 17:08:40] [e5d91604aae608e98a8ea24759233f66]
F    D    [Univariate Explorative Data Analysis] [Model omzet consu...] [2008-10-23 17:33:01] [e5d91604aae608e98a8ea24759233f66]
F RM        [Tukey lambda PPCC Plot] [PPCC plot Omzet c...] [2008-10-23 17:44:44] [e5d91604aae608e98a8ea24759233f66]
F    D          [Tukey lambda PPCC Plot] [PPCC plot Niet-we...] [2008-10-23 17:48:25] [55ca0ca4a201c9689dcf5fae352c92eb] [Current]
F    D            [Tukey lambda PPCC Plot] [PPCC plot BEL20 a...] [2008-10-23 17:50:22] [e5d91604aae608e98a8ea24759233f66]
Feedback Forum
2008-11-01 15:39:52 [Steffi Van Isveldt] [reply] 
De correlatie is het grootst bij lambda=0.5 wat een U-shaped verdeling betekent en geen normaalverdeling.
2008-11-02 22:07:06 [Bernard Femont] [reply] 
Een U-shaped verdeling betekent en geen normaalverdeling. De correlatie is het grootst bij lambda=0.5

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
512238
519164
517009
509933
509127
500857
506971
569323
579714
577992
565464
547344
554788
562325
560854
555332
543599
536662
542722
593530
610763
612613
611324
594167
590865
589379
584428
573100
567456
569028
620735
628884
628232
612117
595404
597141
593408
590072
579799
574205
572775
572942
619567
625809
619916
587625
565742
557274
560576
548854
531673
525919
511038
498662
555362
564591
541657
527070
509846
514258

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'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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18561&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18561&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18561&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.614034275630072
Exact Logistic (lambda=0)0.9724296666256
Approx. Normal (lambda=0.14)0.98484429897067
U-shaped (lambda=0.5)0.994481453907624
Exactly Uniform (lambda=1)0.992398632286828

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.614034275630072 \tabularnewline
Exact Logistic (lambda=0) & 0.9724296666256 \tabularnewline
Approx. Normal (lambda=0.14) & 0.98484429897067 \tabularnewline
U-shaped (lambda=0.5) & 0.994481453907624 \tabularnewline
Exactly Uniform (lambda=1) & 0.992398632286828 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18561&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]0.614034275630072[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.9724296666256[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.98484429897067[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.994481453907624[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.992398632286828[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18561&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18561&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)0.614034275630072
Exact Logistic (lambda=0)0.9724296666256
Approx. Normal (lambda=0.14)0.98484429897067
U-shaped (lambda=0.5)0.994481453907624
Exactly Uniform (lambda=1)0.992398632286828


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0 ; par2 = 12 ;
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')