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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, 17 Dec 2011 08:07:19 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/17/t13241272592jpk8oxy3wysux4.htm/, Retrieved Wed, 24 Apr 2024 05:35:56 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=156256, Retrieved Wed, 24 Apr 2024 05:35:56 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact117

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] [Intrinsic Motivat...] [2010-10-12 12:09:04] [b98453cac15ba1066b407e146608df68]
- R PD  [Tukey lambda PPCC Plot] [Extrensic motivat...] [2011-10-14 14:22:55] [379dab8110dbf77cfcc4b7951c3a599f]
-   PD      [Tukey lambda PPCC Plot] [Tukey Lambda - om...] [2011-12-17 13:07:19] [e7912d585babb6fa20e6bf5178c462ce] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
33907
35981
36588
16967
25333
21027
21114
28777
35612
24183
22262
20637
29948
22093
36997
31089
19477
31301
18497
30142
21326
16779
38068
29707
35016
26131
29251
22855
31806
34124

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'Gwilym Jenkins' @ jenkins.wessa.net

\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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156256&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156256&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156256&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'Gwilym Jenkins' @ jenkins.wessa.net






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.693125667321944
Exact Logistic (lambda=0)0.961040322695931
Approx. Normal (lambda=0.14)0.97425010226391
U-shaped (lambda=0.5)0.990048511818247
Exactly Uniform (lambda=1)0.994414904536899

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.693125667321944 \tabularnewline
Exact Logistic (lambda=0) & 0.961040322695931 \tabularnewline
Approx. Normal (lambda=0.14) & 0.97425010226391 \tabularnewline
U-shaped (lambda=0.5) & 0.990048511818247 \tabularnewline
Exactly Uniform (lambda=1) & 0.994414904536899 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156256&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]0.693125667321944[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.961040322695931[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.97425010226391[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.990048511818247[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.994414904536899[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156256&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156256&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)0.693125667321944
Exact Logistic (lambda=0)0.961040322695931
Approx. Normal (lambda=0.14)0.97425010226391
U-shaped (lambda=0.5)0.990048511818247
Exactly Uniform (lambda=1)0.994414904536899


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')