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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 computationThu, 18 Dec 2014 13:49:51 +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/18/t1418910600kjjfojqasr5v0w1.htm/, Retrieved Sun, 19 May 2024 18:47:49 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270930, Retrieved Sun, 19 May 2024 18:47:49 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact89

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] [bachelor 2012] [2014-12-18 13:49:51] [f02c6c9412fee5ce04bac553459224aa] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
52
55
72
33
66
66
64
40
46
58
51
50
52
54
66
61
80
51
56
53
47
50
39
58
35
58
60
62
63
53
46
67
59
64
38
50
48
47
66
63
44
43
38
56
45
50
54
55
37
46
51
64
47
62
67
56
65
50
57
47
47
57
50
22
59
56
53
42
52
54
44
62
53
50
36
76
66
62
59
47
55
58
60
57

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 0 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270930&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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270930&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270930&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 time0 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.71997164124654
Exact Logistic (lambda=0)0.994708999633698
Approx. Normal (lambda=0.14)0.992964106366979
U-shaped (lambda=0.5)0.978291431779196
Exactly Uniform (lambda=1)0.963041475311033

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.71997164124654 \tabularnewline
Exact Logistic (lambda=0) & 0.994708999633698 \tabularnewline
Approx. Normal (lambda=0.14) & 0.992964106366979 \tabularnewline
U-shaped (lambda=0.5) & 0.978291431779196 \tabularnewline
Exactly Uniform (lambda=1) & 0.963041475311033 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270930&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]0.71997164124654[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.994708999633698[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.992964106366979[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.978291431779196[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.963041475311033[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270930&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270930&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)0.71997164124654
Exact Logistic (lambda=0)0.994708999633698
Approx. Normal (lambda=0.14)0.992964106366979
U-shaped (lambda=0.5)0.978291431779196
Exactly Uniform (lambda=1)0.963041475311033


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')