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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 computationFri, 12 Dec 2014 12:22:20 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/12/t1418386954yiv980wudqvcs8s.htm/, Retrieved Thu, 16 May 2024 19:58:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266594, Retrieved Thu, 16 May 2024 19:58:27 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact64

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] [2014-12-12 12:22:20] [8c0dfc7b9b8e9dc8ad6d66876f6d8b28] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
-1,09842
-5,10081
0,300669
0,101669
-0,233909
2,6863
-3,86284
0,197581
-0,975839
-3,65652
-2,54314
-8,66506
-1,91624
0,339461
-1,22729
-0,610695
-4,64972
1,07758
0,220183
-1,08531
-2,77618
0,514874
-1,57337
-7,7412
-3,59165
-1,46401
-0,259212
-1,10318
-4,59588
-0,416811
0,348086
-6,44447
-4,12136
-3,77084
-4,45605
-5,4768
-6,6556
-0,589048
2,1102
-4,67029
-0,622039
-2,91384
-0,217858
-3,19751
1,88928
-4,57081
0,764804
-7,30336
-5,43595
-3,87456
-2,53739
-0,650968
0,638528
1,3834
4,61439
0,797204
2,04689
0,576657
-0,8186
-0,0331425
3,66013
3,61483
2,10601
0,980391
3,62652
2,68761
0,240096
-1,8452
2,59554
3,42243
-0,339566
5,54883
1,38969
-0,592173
-0,936289
1,73097
-1,10524
1,46812
2,92358
-1,66759
-2,59895
1,72639
-1,46938
3,74722
-1,76661
4,32574
1,40797
1,55421
2,50929
2,47847
1,22958
0,394661
1,90412
3,19377
0,959305
6,62858
5,441
0,625437
2,48092
4,01341
0,226882
1,0831
-2,6473
3,2778
3,72057
1,48615
0,451287
1,0549
1,31847
2,27233
3,16991
-0,608255
1,90658
2,72951
3,6746
1,89836
-2,60103
-0,214422
-4,58644
-0,478474
-1,00145
-1,46887
2,14995
3,50937
1,42368
1,37169
2,66742
2,58253
-0,17482
0,953009
0,151181
3,76788
3,43262
2,01818
2,3895
-2,30018

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=266594&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=266594&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266594&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)0.597161956298931
Exact Logistic (lambda=0)0.984900925583605
Approx. Normal (lambda=0.14)0.98769803391876
U-shaped (lambda=0.5)0.978723684951942
Exactly Uniform (lambda=1)0.965861187480572

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.597161956298931 \tabularnewline
Exact Logistic (lambda=0) & 0.984900925583605 \tabularnewline
Approx. Normal (lambda=0.14) & 0.98769803391876 \tabularnewline
U-shaped (lambda=0.5) & 0.978723684951942 \tabularnewline
Exactly Uniform (lambda=1) & 0.965861187480572 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266594&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]0.597161956298931[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.984900925583605[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.98769803391876[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.978723684951942[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.965861187480572[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266594&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266594&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)0.597161956298931
Exact Logistic (lambda=0)0.984900925583605
Approx. Normal (lambda=0.14)0.98769803391876
U-shaped (lambda=0.5)0.978723684951942
Exactly Uniform (lambda=1)0.965861187480572


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')