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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 computationSun, 06 Jan 2008 09:01:07 -0700
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/Jan/06/t1199635289kwxzx4qx60k3f35.htm/, Retrieved Sat, 04 May 2024 21:42:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=7825, Retrieved Sat, 04 May 2024 21:42:47 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsInvestigating distributions Werkgelegenheid Q1
Estimated Impact200

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Central Tendency] [WS2 - Robustness ...] [2007-10-20 13:06:37] [5343e105a400b9e32bf6f011133bbaf4]
- RM D    [Tukey lambda PPCC Plot] [CVWS2WGQ1] [2008-01-06 16:01:07] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
59.9
59.9
59.9
60.9
60.9
60.9
61.1
61.1
61.1
60.2
60.2
60.2
60.1
60.1
60.1
59.7
59.7
59.7
60.5
60.5
60.5
59.5
59.5
59.5
59.5
59.5
59.5
59.7
59.7
59.7
60.4
60.4
60.4
60
60
60
59
59
59
59.3
59.3
59.3
59.7
59.7
59.7
60.4
60.4
60.4
59.9
59.9
59.9
60.5
60.5
60.5
60.4
60.4
60.4
60.6
60.6
60.6
60.9
60.9
60.9
61
61
61
61.2
61.2
61.2
61.2
61.2
61.2
60.3
60.3
60.3
60.4
60.4
60.4
61.2
61.2
61.2
62.1
62.1
62.1
61.7
61.7
61.7
61.6
61.6
61.6

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ 72.249.76.132

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7825&T=0

[TABLE]
[ROW][C]Summary of compuational 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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7825&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7825&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ 72.249.76.132






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.60303596843432
Exact Logistic (lambda=0)0.981539283389057
Approx. Normal (lambda=0.14)0.989380908016181
U-shaped (lambda=0.5)0.989702766176874
Exactly Uniform (lambda=1)0.982121847263983

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.60303596843432 \tabularnewline
Exact Logistic (lambda=0) & 0.981539283389057 \tabularnewline
Approx. Normal (lambda=0.14) & 0.989380908016181 \tabularnewline
U-shaped (lambda=0.5) & 0.989702766176874 \tabularnewline
Exactly Uniform (lambda=1) & 0.982121847263983 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7825&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]0.60303596843432[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.981539283389057[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.989380908016181[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.989702766176874[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.982121847263983[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7825&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7825&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)0.60303596843432
Exact Logistic (lambda=0)0.981539283389057
Approx. Normal (lambda=0.14)0.989380908016181
U-shaped (lambda=0.5)0.989702766176874
Exactly Uniform (lambda=1)0.982121847263983


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')