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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 computationSun, 14 Dec 2014 11:11:20 +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/14/t14185554980s9nrve9robr7r0.htm/, Retrieved Thu, 16 May 2024 12:48:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267440, Retrieved Thu, 16 May 2024 12:48:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact88

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Kernel Density Estimation] [] [2014-12-14 10:13:00] [861cf3a5e9222e55170c5866e1781f14]
- RM D    [Tukey lambda PPCC Plot] [] [2014-12-14 11:11:20] [53b401354caf777cb6420ff193593f00] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
7
20
9
19
12
16
17
9
28
20
16
22
17
12
18
20
12
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15
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21
12
6
13
19
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13
12
17
19
10
10
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11
10
7
22
12
18
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9
16
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20
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14
8
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10
10
18
10
22
16
10
7
16
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5
18
10
8
16
8
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15
9
21
7
17
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15
8
22
5
13
22
18
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11
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19
21
4
17
10
13
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11
20
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20
15
4
9
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12
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17
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20
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10
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15
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9
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7
23
14
10
16
12
10
7
20
9
12
10
19
11
15
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11
14
15
7
22
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22
11
19
9
11
17
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10
17
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11
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24
13
16
13
15
15
11
7
13
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8
7
17
9
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17
18
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14
22
19
21
10
16
11
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12
21
22
20
15
9
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9
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11
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10
18
11
14
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11
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12
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23
14
10
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16
19
17
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17
11
19
12
8
17
13
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7
23
18
13
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8
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19
15
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8
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7
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12
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10
28
19
18
19
8
17
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13

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 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 & 0 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267440&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]0 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=267440&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267440&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 time0 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.487731721690293
Exact Logistic (lambda=0)0.987381336077824
Approx. Normal (lambda=0.14)0.994123523527538
U-shaped (lambda=0.5)0.991251437809889
Exactly Uniform (lambda=1)0.982458975310123

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.487731721690293 \tabularnewline
Exact Logistic (lambda=0) & 0.987381336077824 \tabularnewline
Approx. Normal (lambda=0.14) & 0.994123523527538 \tabularnewline
U-shaped (lambda=0.5) & 0.991251437809889 \tabularnewline
Exactly Uniform (lambda=1) & 0.982458975310123 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267440&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]0.487731721690293[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.987381336077824[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.994123523527538[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.991251437809889[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.982458975310123[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267440&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267440&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)0.487731721690293
Exact Logistic (lambda=0)0.987381336077824
Approx. Normal (lambda=0.14)0.994123523527538
U-shaped (lambda=0.5)0.991251437809889
Exactly Uniform (lambda=1)0.982458975310123


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')