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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 computationWed, 30 Nov 2011 16:44:18 -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/Nov/30/t13226897403di7xjkagvakjj7.htm/, Retrieved Wed, 24 Apr 2024 18:43:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=149158, Retrieved Wed, 24 Apr 2024 18:43:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact134

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Histogram] [Bad example of Hi...] [2010-09-25 09:28:23] [b98453cac15ba1066b407e146608df68]
- R     [Histogram] [] [2011-09-27 13:07:18] [f381152ed5e87cd86e751bfc27f55bf8]
- R  D    [Histogram] [] [2011-11-30 16:35:58] [c4580079d5d2b3f0ba412f27cdc441be]
- RM D      [Kernel Density Estimation] [] [2011-11-30 17:08:56] [c4580079d5d2b3f0ba412f27cdc441be]
- RM D        [Stem-and-leaf Plot] [] [2011-11-30 19:09:53] [c4580079d5d2b3f0ba412f27cdc441be]
- RM D          [Skewness and Kurtosis Test] [] [2011-11-30 20:11:14] [c4580079d5d2b3f0ba412f27cdc441be]
- RM D              [Tukey lambda PPCC Plot] [] [2011-11-30 21:44:18] [885a9dbaf162325773a0a0afdf9f947e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
41
39
30
31
34
35
39
34
36
37
38
36
38
39
33
32
36
38
39
32
32
31
39
37
39
41
36
33
33
34
31
27
37
34
34
32
29
36
29
35
37
34
38
35
38
37
38
33
36
38
32
32
32
34
32
37
39
29
37
35
30
38
34
31
34
35
36
30
39
35
38
31
34
38
34
39
37
34
28
37
33
37
35
37
32
33
38
33
29
33
31
36
35
32
29
39
37
35
37
32
38
37
36
32
33
40
38
41
36
43
30
31
32
32
37
37
33
34
33
38
33
31
38
37
33
31
39
44
33
35
32
28
40
27
37
32
28
34
30
35
31
32
30
30
31
40
32
36
32
35
38
42
34
35
35
33
36
32
33
34
32
34

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'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=149158&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=149158&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=149158&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'Herman Ole Andreas Wold' @ wold.wessa.net






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.553761092141565
Exact Logistic (lambda=0)0.986138130605751
Approx. Normal (lambda=0.14)0.992601197860045
U-shaped (lambda=0.5)0.990204685089253
Exactly Uniform (lambda=1)0.981918018620053

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.553761092141565 \tabularnewline
Exact Logistic (lambda=0) & 0.986138130605751 \tabularnewline
Approx. Normal (lambda=0.14) & 0.992601197860045 \tabularnewline
U-shaped (lambda=0.5) & 0.990204685089253 \tabularnewline
Exactly Uniform (lambda=1) & 0.981918018620053 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=149158&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]0.553761092141565[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.986138130605751[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.992601197860045[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.990204685089253[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.981918018620053[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=149158&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=149158&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)0.553761092141565
Exact Logistic (lambda=0)0.986138130605751
Approx. Normal (lambda=0.14)0.992601197860045
U-shaped (lambda=0.5)0.990204685089253
Exactly Uniform (lambda=1)0.981918018620053


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par2 = grey ; par3 = FALSE ; par4 = Unknown ;
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')