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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 computationSat, 22 Dec 2018 17:10:16 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2018/Dec/22/t1545495122kub9s62j6vnlriz.htm/, Retrieved Sun, 05 May 2024 03:27:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=316221, Retrieved Sun, 05 May 2024 03:27:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact102

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] [PPCC consumptie] [2018-12-22 16:10:16] [8607e318ea7bb53061252e65c5c0fa8a] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
33
14
33
53
32
17
39
53
12
10
34
51
22
24
7
22
7
16
47
7
31
26
8
10
30
45
11
24
30
31
23
37
31
23
17
47
39
9
48
28
12
31
30
44
25
34
34
34
30
30
19
46
48
24
39
22
28
21
18
36
29
24
31
28
37
33
31
49
42
29
31
33
32
25
16
35
44
30
52
35
11
36
32
42
11
47
32
30
51
10
22
32
52
52
11
27
42
30
6
1
26
32
36
26
49
39
14
35
2
21
32
14
33
16
15
30
2
24
27
38
14
38
26
8
21
22
19
40
22
25
47
46
25
26
56
58
11
8
36
28

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316221&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=316221&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316221&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.538289089289296
Exact Logistic (lambda=0)0.984024200397518
Approx. Normal (lambda=0.14)0.992742516843094
U-shaped (lambda=0.5)0.992661514609703
Exactly Uniform (lambda=1)0.983874779142846

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.538289089289296 \tabularnewline
Exact Logistic (lambda=0) & 0.984024200397518 \tabularnewline
Approx. Normal (lambda=0.14) & 0.992742516843094 \tabularnewline
U-shaped (lambda=0.5) & 0.992661514609703 \tabularnewline
Exactly Uniform (lambda=1) & 0.983874779142846 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316221&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]0.538289089289296[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.984024200397518[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.992742516843094[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.992661514609703[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.983874779142846[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=316221&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316221&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)0.538289089289296
Exact Logistic (lambda=0)0.984024200397518
Approx. Normal (lambda=0.14)0.992742516843094
U-shaped (lambda=0.5)0.992661514609703
Exactly Uniform (lambda=1)0.983874779142846


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')