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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, 19 Oct 2010 18:47:42 +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/2010/Oct/19/t1287513983hf5mlwenrya0hfi.htm/, Retrieved Mon, 29 Apr 2024 07:14:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=86901, Retrieved Mon, 29 Apr 2024 07:14:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact79

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]
-    D  [Tukey lambda PPCC Plot] [Intr. 1-PPCC] [2010-10-19 18:41:46] [608064602fec1c42028cf50c6f981c88]
-    D      [Tukey lambda PPCC Plot] [Intr.2-PPCC] [2010-10-19 18:47:42] [8bf9de033bd61652831a8b7489bc3566] [Current]
-    D        [Tukey lambda PPCC Plot] [Intr. 3-PPCC] [2010-10-19 18:52:11] [608064602fec1c42028cf50c6f981c88]
-    D          [Tukey lambda PPCC Plot] [Extr. 1-PPCC] [2010-10-19 18:56:40] [608064602fec1c42028cf50c6f981c88]
-    D            [Tukey lambda PPCC Plot] [Extr. 2-PPCC] [2010-10-19 19:00:37] [608064602fec1c42028cf50c6f981c88]
-    D              [Tukey lambda PPCC Plot] [Extr. 3-PPCC] [2010-10-19 19:04:24] [608064602fec1c42028cf50c6f981c88]
-   PD                [Tukey lambda PPCC Plot] [Amotivation-PPCC] [2010-10-19 19:07:57] [608064602fec1c42028cf50c6f981c88]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
16
19
16
23
12
19
16
13
20
27
8
13
15
5
14
24
24
9
19
19
18
12
25
19
20
24
12
17
16
11
20
11
20
19
17
18
17
27
19
19
11
22
20
24
16
16
11
20
20
12
8
21
18
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20
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23
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17
12
24
18
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16
17
12
14
23
15
17
28
23
13
19
13
22
20
10
17
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23
17
19
18
22
16
16
16
16
18
18
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19
20
17
25
26
19
16
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25
15
12
21
15
28
26
25
12
15
14
22
21
23
25
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24
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16
22
24
16
27
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27
24
19
16
26
22
21
14
12
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20
18
23
23
12
16
23
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23
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22
18
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Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

\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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
R Framework error message & 
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=86901&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=86901&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=86901&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 time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.562725842162124
Exact Logistic (lambda=0)0.989598755081959
Approx. Normal (lambda=0.14)0.994193246965952
U-shaped (lambda=0.5)0.987653518055235
Exactly Uniform (lambda=1)0.975970531249331

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.562725842162124 \tabularnewline
Exact Logistic (lambda=0) & 0.989598755081959 \tabularnewline
Approx. Normal (lambda=0.14) & 0.994193246965952 \tabularnewline
U-shaped (lambda=0.5) & 0.987653518055235 \tabularnewline
Exactly Uniform (lambda=1) & 0.975970531249331 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=86901&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]0.562725842162124[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.989598755081959[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.994193246965952[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.987653518055235[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.975970531249331[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=86901&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=86901&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)0.562725842162124
Exact Logistic (lambda=0)0.989598755081959
Approx. Normal (lambda=0.14)0.994193246965952
U-shaped (lambda=0.5)0.987653518055235
Exactly Uniform (lambda=1)0.975970531249331


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')