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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 14:12:13 +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/t1418652748qjkc5f91e76vu4j.htm/, Retrieved Thu, 16 May 2024 18:42:49 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=268462, Retrieved Thu, 16 May 2024 18:42:49 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact58

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] [Q2] [2014-12-15 14:12:13] [6fc1b517ba5ef695988bbc0a377c4b82] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
62
71
54
65
52
84
42
66
65
78
66
61
71
69
72
68
70
68
67
77
72
69
71
62
64
58
52
59
68
76
65
59
69
63
75
63
60
73
63
70
66
63
64
61
62
61
66
56
66
53
59
71
71
64
66
62
65
68
60
65
68
64
74
69
68
72
67
66
51
56
67
69
56
55
67
76
64
68
64
65
71
63
60
72
70
61
61
62
71
51
56
70
73
76
52
57
60
60
62
59
61
69
59
66
67
75
69
58
60
74
55
63
68
62
72
62
75
58
47
19
50
79
71
48
66
74
66
71
53
60
70
69
59
72
71
74
80
73
67
61
74
32
69
64
60
59
78
60
68
73
67
65
74
55
49
53
64
57
67
70
75
65
65
69
48
68
74
67
65
74
69
63
68
70
78
74
62
69
65
67
52
53
76
63
41
72
52
65
63
56
56
64
75
65
61
71
72
62
66
63
71
64
78
60
68
68
60
65
64
69
74
76
73
76
55
62
78
67
75
59
70
59
63
67
58
71
53
64
67
72
57
62
74
54
66
64
74
71
63
70
66
78
72
72
58
84
67
63
55
58
69
54
58
67
77
80
67
71
79
76
72
81
52
76
60
77
64
67
79
40
71
73
70
66
74
58
51
75
50
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'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=268462&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=268462&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268462&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)0.58000326625033
Exact Logistic (lambda=0)0.978604785074027
Approx. Normal (lambda=0.14)0.974437042929243
U-shaped (lambda=0.5)0.955076956503433
Exactly Uniform (lambda=1)0.93801581964308

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.58000326625033 \tabularnewline
Exact Logistic (lambda=0) & 0.978604785074027 \tabularnewline
Approx. Normal (lambda=0.14) & 0.974437042929243 \tabularnewline
U-shaped (lambda=0.5) & 0.955076956503433 \tabularnewline
Exactly Uniform (lambda=1) & 0.93801581964308 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268462&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]0.58000326625033[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.978604785074027[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.974437042929243[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.955076956503433[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.93801581964308[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268462&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268462&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)0.58000326625033
Exact Logistic (lambda=0)0.978604785074027
Approx. Normal (lambda=0.14)0.974437042929243
U-shaped (lambda=0.5)0.955076956503433
Exactly Uniform (lambda=1)0.93801581964308


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')