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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, 05 Nov 2009 11:08:50 -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/2009/Nov/05/t1257444573w29ipcrdm0oeeju.htm/, Retrieved Thu, 02 May 2024 21:13:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=54169, Retrieved Thu, 02 May 2024 21:13:20 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact159

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Tukey lambda PPCC Plot] [3/11/2009] [2009-11-02 22:14:51] [b98453cac15ba1066b407e146608df68]
-    D    [Tukey lambda PPCC Plot] [WS 6] [2009-11-05 18:08:50] [78d370e6d5f4594e9982a5085e7604c6] [Current]
-    D      [Tukey lambda PPCC Plot] [Workshop 6: PPCC ...] [2009-11-06 11:54:57] [1433a524809eda02c3198b3ae6eebb69]
-   PD        [Tukey lambda PPCC Plot] [PPCC Tukey Lambda...] [2009-12-11 10:23:55] [1433a524809eda02c3198b3ae6eebb69]
- RM D      [Box-Cox Normality Plot] [Workshop 6: Box-c...] [2009-11-06 11:57:46] [1433a524809eda02c3198b3ae6eebb69]
- R         [Tukey lambda PPCC Plot] [Workshop 6: Analy...] [2009-11-11 14:33:00] [3cb427d596a5d2eb77fa64560dc91319]
-           [Tukey lambda PPCC Plot] [Workshop 6: Analy...] [2009-11-11 14:34:43] [3cb427d596a5d2eb77fa64560dc91319]
-    D      [Tukey lambda PPCC Plot] [] [2009-11-13 15:18:59] [09f192433169b2c787c4a71fde86e883]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
8.9
8.6
8.3
8.3
8.3
8.4
8.5
8.4
8.6
8.5
8.5
8.5
8.5
8.5
8.5
8.5
8.5
8.5
8.5
8.5
8.6
8.4
8.1
8
8
8
8
7.9
7.8
7.8
7.9
8.1
8
7.6
7.3
7
6.8
7
7.1
7.2
7.1
6.9
6.7
6.7
6.6
6.9
7.3
7.5
7.3
7.1
6.9
7.1
7.5
7.7
7.8
7.8
7.7
7.7
7.8
7.9

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'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=54169&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=54169&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=54169&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'RServer@AstonUniversity' @ vre.aston.ac.uk






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.601388257753968
Exact Logistic (lambda=0)0.95007664523175
Approx. Normal (lambda=0.14)0.964362191853262
U-shaped (lambda=0.5)0.979154594260182
Exactly Uniform (lambda=1)0.981902403379762

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.601388257753968 \tabularnewline
Exact Logistic (lambda=0) & 0.95007664523175 \tabularnewline
Approx. Normal (lambda=0.14) & 0.964362191853262 \tabularnewline
U-shaped (lambda=0.5) & 0.979154594260182 \tabularnewline
Exactly Uniform (lambda=1) & 0.981902403379762 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=54169&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]0.601388257753968[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.95007664523175[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.964362191853262[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.979154594260182[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.981902403379762[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=54169&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=54169&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)0.601388257753968
Exact Logistic (lambda=0)0.95007664523175
Approx. Normal (lambda=0.14)0.964362191853262
U-shaped (lambda=0.5)0.979154594260182
Exactly Uniform (lambda=1)0.981902403379762


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')