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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 computationSat, 07 Nov 2009 07:24:16 -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/07/t12576039517hyvxs1o7tmnkq7.htm/, Retrieved Wed, 08 May 2024 12:02:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=54415, Retrieved Wed, 08 May 2024 12:02:11 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact215

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] [2009-11-07 14:24:16] [f7d3e79b917995ba1c8c80042fc22ef9] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
100
100
93.5483871
88.17204301
89.24731183
91.39784946
92.47311828
91.39784946
88.17204301
87.09677419
84.94623656
92.47311828
93.5483871
93.5483871
91.39784946
90.32258065
91.39784946
93.5483871
93.5483871
92.47311828
91.39784946
89.24731183
86.02150538
88.17204301
87.09677419
87.09677419
86.02150538
84.94623656
84.94623656
86.02150538
86.02150538
84.94623656
86.02150538
82.79569892
77.41935484
80.64516129
78.49462366
75.2688172
75.2688172
75.2688172
77.41935484
78.49462366
76.34408602
73.11827957
68.8172043
65.59139785
69.89247312
82.79569892
84.94623656
80.64516129
74.19354839
70.96774194
74.19354839
82.79569892
86.02150538
86.02150538
82.79569892
78.49462366
79.56989247
87.09677419

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'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 & 1 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=54415&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=54415&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=54415&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'RServer@AstonUniversity' @ vre.aston.ac.uk






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.694466609816797
Exact Logistic (lambda=0)0.98148959802274
Approx. Normal (lambda=0.14)0.98584440764319
U-shaped (lambda=0.5)0.982077573730277
Exactly Uniform (lambda=1)0.972785151091302

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.694466609816797 \tabularnewline
Exact Logistic (lambda=0) & 0.98148959802274 \tabularnewline
Approx. Normal (lambda=0.14) & 0.98584440764319 \tabularnewline
U-shaped (lambda=0.5) & 0.982077573730277 \tabularnewline
Exactly Uniform (lambda=1) & 0.972785151091302 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=54415&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]0.694466609816797[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.98148959802274[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.98584440764319[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.982077573730277[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.972785151091302[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=54415&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=54415&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)0.694466609816797
Exact Logistic (lambda=0)0.98148959802274
Approx. Normal (lambda=0.14)0.98584440764319
U-shaped (lambda=0.5)0.982077573730277
Exactly Uniform (lambda=1)0.972785151091302


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')