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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, 14 Dec 2010 13:22:39 +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/Dec/14/t12923328406gxvsd3m909oi0z.htm/, Retrieved Thu, 02 May 2024 23:18:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=109587, Retrieved Thu, 02 May 2024 23:18:02 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact119

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]
-   PD  [Tukey lambda PPCC Plot] [Intrinsic motivat...] [2010-10-17 13:39:48] [1429a1a14191a86916b95357f6de790b]
- R PD      [Tukey lambda PPCC Plot] [Tukey Lambda PPCC...] [2010-12-14 13:22:39] [e192c8164fa91adb027f71579ac0a49a] [Current]
-             [Tukey lambda PPCC Plot] [Tukey Lambda PPCC...] [2010-12-20 20:27:58] [af8eb90b4bf1bcfcc4325c143dbee260]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
66
54
82
61
65
77
66
66
66
48
57
80
60
70
85
59
72
70
74
70
51
70
71
72
50
69
73
66
73
58
78
83
76
77
79
71
79
60
73
70
42
74
68
83
62
79
61
86
64
75
59
82
61
69
60
59
81
65
60
60
45
75
84
77
64
54
72
56
67
81
73
67
72
69
71
77
63
49
74
76
65
65
69
71
68
49
86
63
77
52
73
63
54
56
54
61
70
68
63
76
69
71
39
54
64
70
76
71
73
81
50
42
66
77
62
66
69
72
67
59
66
68
72
73
69
57
55
72
68
83
74
72
66
61
86
81
79
73
59
64
75
68
84
68
68
69

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'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109587&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109587&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109587&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'George Udny Yule' @ 72.249.76.132






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.566919102983904
Exact Logistic (lambda=0)0.986572651971989
Approx. Normal (lambda=0.14)0.990472298903699
U-shaped (lambda=0.5)0.98222658133977
Exactly Uniform (lambda=1)0.96899962930711

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.566919102983904 \tabularnewline
Exact Logistic (lambda=0) & 0.986572651971989 \tabularnewline
Approx. Normal (lambda=0.14) & 0.990472298903699 \tabularnewline
U-shaped (lambda=0.5) & 0.98222658133977 \tabularnewline
Exactly Uniform (lambda=1) & 0.96899962930711 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109587&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]0.566919102983904[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.986572651971989[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.990472298903699[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.98222658133977[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.96899962930711[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109587&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109587&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)0.566919102983904
Exact Logistic (lambda=0)0.986572651971989
Approx. Normal (lambda=0.14)0.990472298903699
U-shaped (lambda=0.5)0.98222658133977
Exactly Uniform (lambda=1)0.96899962930711


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')