FreeStatistics.org

Free Statistics

of Irreproducible Research!

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 computationFri, 24 Oct 2008 04:19:58 -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/24/t1224843673hab5pkevzl2ig5i.htm/, Retrieved Sun, 19 May 2024 13:34:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18580, Retrieved Sun, 19 May 2024 13:34:20 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact186

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Explorative Data Analysis] [Q2 Univariate EDA] [2008-10-23 11:06:23] [76963dc1903f0f612b6153510a3818cf]
-   P   [Univariate Explorative Data Analysis] [Task 2] [2008-10-24 10:02:58] [76963dc1903f0f612b6153510a3818cf]
F   PD    [Univariate Explorative Data Analysis] [Q7 Univariate EDA] [2008-10-24 10:12:47] [76963dc1903f0f612b6153510a3818cf]
F RMP         [Tukey lambda PPCC Plot] [Q8 Tuky Lambda PP...] [2008-10-24 10:19:58] [d96f761aa3e94002e7c05c3c847d2c79] [Current]
-               [Tukey lambda PPCC Plot] [] [2008-11-03 16:29:28] [888addc516c3b812dd7be4bd54caa358]
Feedback Forum
2008-11-03 10:42:04 [Jef Keersmaekers] [reply] 
Het antwoord is correct er is inderdaad een lambda van 0,5 waarneembaar


Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
577992
565464
547344
554788
562325
560854
555332
543599
536662
542722
593530
610763
612613
611324
594167
595454
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
516922
507561
492622
490243
469357
477580
528379
533590

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'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18580&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18580&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18580&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'George Udny Yule' @ 72.249.76.132






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.655330391039101
Exact Logistic (lambda=0)0.981382528079468
Approx. Normal (lambda=0.14)0.989482803718514
U-shaped (lambda=0.5)0.99155075427089
Exactly Uniform (lambda=1)0.985056922851504

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.655330391039101 \tabularnewline
Exact Logistic (lambda=0) & 0.981382528079468 \tabularnewline
Approx. Normal (lambda=0.14) & 0.989482803718514 \tabularnewline
U-shaped (lambda=0.5) & 0.99155075427089 \tabularnewline
Exactly Uniform (lambda=1) & 0.985056922851504 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18580&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]0.655330391039101[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.981382528079468[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.989482803718514[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.99155075427089[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.985056922851504[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18580&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18580&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)0.655330391039101
Exact Logistic (lambda=0)0.981382528079468
Approx. Normal (lambda=0.14)0.989482803718514
U-shaped (lambda=0.5)0.99155075427089
Exactly Uniform (lambda=1)0.985056922851504


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')