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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, 22 Dec 2008 11:54:55 -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/Dec/22/t12299721264l0w6kisgwhh9a1.htm/, Retrieved Mon, 13 May 2024 12:06:13 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=36169, Retrieved Mon, 13 May 2024 12:06:13 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords1
Estimated Impact177

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...] [2007-10-21 16:01:20] [b9964c45117f7aac638ab9056d451faa]
F    D  [Tukey lambda PPCC Plot] [Q1: Tukey lambda ...] [2008-10-26 12:32:26] [fe7291e888d31b8c4db0b24d6c0f75c6]
- R  D    [Tukey lambda PPCC Plot] [4] [2008-12-19 00:12:44] [fe7291e888d31b8c4db0b24d6c0f75c6]
-    D        [Tukey lambda PPCC Plot] [1] [2008-12-22 18:54:55] [783db4b4a0f63b73ca8b14666b7f4329] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
99984
99981
99972
99989
99996
99991
99988
99990
99998
99987
100000
100000
100004
100007
100005
100002
99998
100006
99997
100001
100000
99993
99994
99996
99996
99998
100002
99995
99985
99984
99982
99987
99977
99990
99990
99994
99997
99996
99993
99993
99993
99997
100000
99995
99997
100003
100002
99993
99999
100000
99997
100004
100002
100003
100000
99990
99990
99991
99978
99984
99982
99986
99988
99983
99977
99972
99969
99979
99981
99978
99978

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'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36169&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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36169&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36169&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'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.631148885403378
Exact Logistic (lambda=0)0.972350071195188
Approx. Normal (lambda=0.14)0.98083608215166
U-shaped (lambda=0.5)0.983671812126111
Exactly Uniform (lambda=1)0.978152226041815

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.631148885403378 \tabularnewline
Exact Logistic (lambda=0) & 0.972350071195188 \tabularnewline
Approx. Normal (lambda=0.14) & 0.98083608215166 \tabularnewline
U-shaped (lambda=0.5) & 0.983671812126111 \tabularnewline
Exactly Uniform (lambda=1) & 0.978152226041815 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36169&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]0.631148885403378[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.972350071195188[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.98083608215166[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.983671812126111[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.978152226041815[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36169&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36169&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)0.631148885403378
Exact Logistic (lambda=0)0.972350071195188
Approx. Normal (lambda=0.14)0.98083608215166
U-shaped (lambda=0.5)0.983671812126111
Exactly Uniform (lambda=1)0.978152226041815


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')