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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 computationMon, 15 Dec 2014 13:31:37 +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/15/t1418650321eh7lkcb37fka50o.htm/, Retrieved Thu, 16 May 2024 07:29:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=268349, Retrieved Thu, 16 May 2024 07:29:36 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact60

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]
- RM D  [Tukey lambda PPCC Plot] [E1] [2014-10-14 09:58:20] [36c866d94170840abc594fd3e7d5794f]
-   PD      [Tukey lambda PPCC Plot] [] [2014-12-15 13:31:37] [2b74e5be20a95dee0bfccc444f4c1798] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
50
62
54
71
54
65
73
52
84
42
66
65
78
73
75
72
66
70
61
81
71
69
71
72
68
70
68
61
67
76
70
60
72
69
71
62
70
64
58
76
52
59
68
76
65
67
59
69
76
63
75
63
60
73
63
70
75
66
63
63
64
70
75
61
60
62
73
61
66
64
59
64
60
56
78
53
67
59
66
68
71
66
73
72
71
59
64
66
78
68
73
62
65
68
65
60
71
65
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76
68
72
67
63
59
73
66
62
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51
56
67
69
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56
55
63
67
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47
76
64
68
64
65
71
63
60
68
72
70
61
61
62
71
71
51
56
70
73
76
68
48
52
60
59
57
79
60
60
59
62
59
61
71
57
66
63
69
58
59
48
66
73
67
61
68
75
62
69
58
60
74
55
62
63
69
58
58
68
72
62
62
65
69
66
72
62
75
58
66
55
47
72
62
64
64
19
50
68
70
79
69
71
48
73
74
66
71
74
78
75
53
60
70
69
65
78
78
59
72
70
63
63
71
74
67
66
62
80
73
67
61
73
74
32
69
69
84
64
58
59
78
57
60
68
68
73
69
67
60
65
66
74
81
72
55
49
74
53
64
65
57
51
80
67
70
74
75
70
69
65
55
71
65
69
48
69
68
74
67
65
63
74
39
68
69
68
63
67
70
68
70
78
59
62
75
74
73
62
69
67
73
52
61
53
63
78
65
77
69
68
76
63
41
76
67
69
59
73
72
52
65
63
78
56
68
56
64
68
75
67
55
73
66
75
77
65
75
57
61
71
72
62
66
66
63
60
64
74
59
71
69
63
73
55
77
70
64
78
60
66
77
68
78
68
60
65
64
69
72
50
72
71
80
74
64
69
76
75
79
73
60
76
55
53
62
69
78
68
67
75
59
73
70
59
64
63
67
58
71
79
53
76
66
64
57
67
72
58
74
57
62
74
54
62
66
64
74
71
66
66
63
65
70
66
66
78
77
72
65
67
72
58
84
67
84
58
63
75
72
58
69
54
58
67
77
80
67
75
71
72
75
79
76
72
81
52
76
60
72
77
64
67
72
79
40
71
73
75
70
66
66
73
74
58
51
75
70
50
64
77
71

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'Sir Ronald Aylmer Fisher' @ fisher.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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268349&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268349&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268349&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'Sir Ronald Aylmer Fisher' @ fisher.wessa.net






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.496465206962235
Exact Logistic (lambda=0)0.981664137576116
Approx. Normal (lambda=0.14)0.979478719859939
U-shaped (lambda=0.5)0.962722674366321
Exactly Uniform (lambda=1)0.947001421307816

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.496465206962235 \tabularnewline
Exact Logistic (lambda=0) & 0.981664137576116 \tabularnewline
Approx. Normal (lambda=0.14) & 0.979478719859939 \tabularnewline
U-shaped (lambda=0.5) & 0.962722674366321 \tabularnewline
Exactly Uniform (lambda=1) & 0.947001421307816 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268349&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]0.496465206962235[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.981664137576116[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.979478719859939[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.962722674366321[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.947001421307816[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268349&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268349&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)0.496465206962235
Exact Logistic (lambda=0)0.981664137576116
Approx. Normal (lambda=0.14)0.979478719859939
U-shaped (lambda=0.5)0.962722674366321
Exactly Uniform (lambda=1)0.947001421307816


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 7 ; par2 = 0 ;
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')