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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 computationTue, 18 Dec 2007 10:07:40 -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/2007/Dec/18/t1197996649rtunutev5w0fn3v.htm/, Retrieved Sat, 04 May 2024 08:45:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=4552, Retrieved Sat, 04 May 2024 08:45:48 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact210

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] [paper - tukey lam...] [2007-12-18 17:07:40] [5b9249e3962a4d9b95a2c513d8084bf7] [Current]
-    D    [Tukey lambda PPCC Plot] [paper - tukey lam...] [2008-12-27 12:32:11] [1aad2bd7746abaf3ab17fe0d80878872]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
-0.361846007532772 
3.68863098861213 
0.682519663180303 
7.63067731671178 
-1.52075037210644 
5.70955581144987 
13.1939928862509 
-5.49940323517293 
1.76500444649349 
1.96677142422135 
-5.60662922820024 
-7.31646013152379 
-1.08563548801227 
-0.099103421317697 
-9.39514313732207 
-6.39447775845358 
-2.02805473224696 
0.903602088633067 
7.57491469457003 
-2.19407311445752 
3.58898833702079 
-1.68951274457543 
-1.53671157669086 
13.3598886375142 
-3.65726657887787 
0.613493186862468 
9.24506908223031 
11.0285738876639 
-3.49893748343257 
-6.55850163797107 
5.54750744110568 
16.5005808635365 
-0.0867999869147866 
-10.1895526735612 
-1.56002146200367 
3.61791774409454 
-3.46228026897451 
-0.839719033549138 
-1.74844063591575 
-5.59275453302008 
-4.31083509741400 
8.28778989827125 
-14.0676602788114 
-4.07578881412959 
3.95794121224257 
-2.54404876219145 
24.3555160491049 
11.7342693021934 
3.81944484749606 
-2.98176766619709 
7.45551605729516 
-6.39245158356992 
11.7003155629076 
2.36027611470617 
-7.48442696186156 
-2.54111530629837 
-2.30507409276129 
10.8550201878513 
-2.11331989623902 
3.4086895867965 
11.2003605872847 
-1.20537867882487 
5.81786820725412 
-2.61150202837964 
-1.54008349441135 
-5.42145151519334 
11.6034074049369 
-9.06789177079852

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4552&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4552&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4552&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.723654684680457
Exact Logistic (lambda=0)0.978860388145977
Approx. Normal (lambda=0.14)0.978756098452789
U-shaped (lambda=0.5)0.967476581138071
Exactly Uniform (lambda=1)0.954141305990687

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.723654684680457 \tabularnewline
Exact Logistic (lambda=0) & 0.978860388145977 \tabularnewline
Approx. Normal (lambda=0.14) & 0.978756098452789 \tabularnewline
U-shaped (lambda=0.5) & 0.967476581138071 \tabularnewline
Exactly Uniform (lambda=1) & 0.954141305990687 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4552&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]0.723654684680457[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.978860388145977[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.978756098452789[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.967476581138071[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.954141305990687[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4552&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4552&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)0.723654684680457
Exact Logistic (lambda=0)0.978860388145977
Approx. Normal (lambda=0.14)0.978756098452789
U-shaped (lambda=0.5)0.967476581138071
Exactly Uniform (lambda=1)0.954141305990687


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')