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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 computationTue, 08 Dec 2015 20:39:14 +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/2015/Dec/08/t14496088887dym40gl8k57rfd.htm/, Retrieved Thu, 16 May 2024 22:34:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=285569, Retrieved Thu, 16 May 2024 22:34:15 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact101

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [One Sample Tests about the Mean] [] [2015-09-17 17:14:23] [32b17a345b130fdf5cc88718ed94a974]
- RMPD  [Bivariate Kernel Density Estimation] [Kernel Density Sp...] [2015-12-08 20:14:32] [08054cfd69be47a1043f60b064067192]
- RM D      [Tukey lambda PPCC Plot] [Verdeling cijfers...] [2015-12-08 20:39:14] [0e991996cbbd17b3741fb533250e72dd] [Current]
- R  D        [Tukey lambda PPCC Plot] [Verdeling cijfers...] [2015-12-08 21:10:03] [08054cfd69be47a1043f60b064067192]
- RM D        [Pearson Correlation] [Pearson Correlation] [2015-12-08 21:27:11] [08054cfd69be47a1043f60b064067192]
- R             [Pearson Correlation] [Pearson Correlation] [2015-12-08 21:34:10] [08054cfd69be47a1043f60b064067192]
- RM D          [Notched Boxplots] [Notched Boxplot] [2015-12-08 21:46:09] [08054cfd69be47a1043f60b064067192]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
16,3
17,4
18,1
18,0
17,8
17,5
17,4
17,7
18,1
18,5
18,7
18,9
19,5
19,9
20,2
20,2
19,9
19,6
19,4
19,6
19,8
20,1
20,2
20,2
20,8
21,2
21,3
20,9
20,6
20,5
20,8
21,3
21,9
22,3
22,6
22,7
23,7
24,3
24,6
24,5
24,5
24,2
24,4
24,8
25,2
25,6
25,9
25,8
26,7
27,1
27,0
26,6
26,1
25,6
25,6
25,6
25,8
26,0
25,9
25,4
26,0
26,0
25,8
25,1
24,5
23,8
23,7
23,6
23,7
23,9
23,8
23,5
23,9
23,9
23,6
23,0
22,4
21,7
21,2
21,1
21,2
21,6

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=285569&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=285569&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285569&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)0.565109514424907
Exact Logistic (lambda=0)0.963244810713213
Approx. Normal (lambda=0.14)0.977929473415566
U-shaped (lambda=0.5)0.99169971500129
Exactly Uniform (lambda=1)0.993147774040417

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.565109514424907 \tabularnewline
Exact Logistic (lambda=0) & 0.963244810713213 \tabularnewline
Approx. Normal (lambda=0.14) & 0.977929473415566 \tabularnewline
U-shaped (lambda=0.5) & 0.99169971500129 \tabularnewline
Exactly Uniform (lambda=1) & 0.993147774040417 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285569&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]0.565109514424907[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.963244810713213[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.977929473415566[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.99169971500129[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.993147774040417[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285569&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285569&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)0.565109514424907
Exact Logistic (lambda=0)0.963244810713213
Approx. Normal (lambda=0.14)0.977929473415566
U-shaped (lambda=0.5)0.99169971500129
Exactly Uniform (lambda=1)0.993147774040417


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = grey ;
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')