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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, 19 Nov 2012 09:27:26 -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/2012/Nov/19/t1353335403bw1cymdb7ejny4q.htm/, Retrieved Sat, 27 Apr 2024 16:53:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=190536, Retrieved Sat, 27 Apr 2024 16:53:04 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact75

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] [Tukey lambda] [2012-11-19 14:27:26] [164264d60f8cebcb0f9613bc1a0dee58] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
59
34
49
50
34
15
107
9
28
41
46
66
48
37
72
50
90
64
66
38
56
60
96
43
37
49
48
63
62
35
62
59
47
72
24
82
28
60
90
2
47
30
27
74
75
41
49
42
31
32
101
22
51
77
42
47
7
91
18
28
61
68
95
29
65
71
57
87
66
49
58
55
48
40
52
52
33
51
20
54
47
40
77
68
51
38
42
33
96
40
54
22
34
36
31
80
67
41
57
51
39
61
68
45
51
64
74
24
86
63
65
40
12
43
46
56
65
61
28
26
37
17
35
28
62
23
28
28
68
6
12
42
17
28
37
88
6
58
6
9
13
37
25
68
51
22
36
27
11
42
76
48
30
91
70
98
44
27
24
64
98
23
33
90
36
57
46
39
32
69
83
54
48
71
29
38
55
26
62
38
21
23
4
50
76
2
13
5
37
26
42
27
22
16
39
33
20
18
28
20
21
14
38
30
25
12
22
50
37
34
26
34
15
23
16
15
17
16
18
22
21
29
27
19
9
38
20
18
17
21
9
23
24
14
18
16
44
13
20
11
26
39
14
14
20
24
28
24
24
10
42
28
5
28
24
9
9
25
17
11
8
21
10
15
14
23
18
16
33
21
29
20
12
29
17
19
15
5
24
23
22
25
25
11
18
14
16
17
20

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'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=190536&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=190536&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=190536&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'Gertrude Mary Cox' @ cox.wessa.net






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.435549711774944
Exact Logistic (lambda=0)0.962827639059028
Approx. Normal (lambda=0.14)0.972067784144298
U-shaped (lambda=0.5)0.97232770813612
Exactly Uniform (lambda=1)0.964548986334301

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.435549711774944 \tabularnewline
Exact Logistic (lambda=0) & 0.962827639059028 \tabularnewline
Approx. Normal (lambda=0.14) & 0.972067784144298 \tabularnewline
U-shaped (lambda=0.5) & 0.97232770813612 \tabularnewline
Exactly Uniform (lambda=1) & 0.964548986334301 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=190536&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]0.435549711774944[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.962827639059028[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.972067784144298[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.97232770813612[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.964548986334301[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=190536&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=190536&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)0.435549711774944
Exact Logistic (lambda=0)0.962827639059028
Approx. Normal (lambda=0.14)0.972067784144298
U-shaped (lambda=0.5)0.97232770813612
Exactly Uniform (lambda=1)0.964548986334301


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')