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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 2008 11:20:14 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Dec/18/t1229624460x4seqt8zqzyti8c.htm/, Retrieved Sat, 11 May 2024 21:48:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=34911, Retrieved Sat, 11 May 2024 21:48:51 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact175

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Tukey lambda PPCC Plot] [Investigating Dis...] [2007-10-21 16:01:20] [b9964c45117f7aac638ab9056d451faa]
-    D  [Tukey lambda PPCC Plot] [Tukey Lambda paper] [2007-12-19 15:13:15] [74be16979710d4c4e7c6647856088456]
- R  D      [Tukey lambda PPCC Plot] [Tukey Lambda Waarde] [2008-12-18 18:20:14] [5c47fb92bd9179cc1ad56f5160f63d38] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
129,5
103,7
114,2
123,5
111,3
126,5
119,6
116,5
116,7
119,4
124
130,6
120,1
113,2
111,1
126
115,8
111
128,7
112,6
114,7
118,5
124,8
128,6
127
111,8
100,6
122,9
117,8
108,1
129,6
111,4
110
115,2
118,8
116,2
126,3
106,7
96,5
119,1
109,6
110,3
118,8
104,5
107,7
127,7
118,5
120,1
127,4
107,8
106,5
124,6
101,9
106,5
119,4
103,3
99,6
120,9
111,7
123,9

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34911&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34911&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34911&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.644250797355043
Exact Logistic (lambda=0)0.97892238088133
Approx. Normal (lambda=0.14)0.989059341222027
U-shaped (lambda=0.5)0.995284497034375
Exactly Uniform (lambda=1)0.99181705966551

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.644250797355043 \tabularnewline
Exact Logistic (lambda=0) & 0.97892238088133 \tabularnewline
Approx. Normal (lambda=0.14) & 0.989059341222027 \tabularnewline
U-shaped (lambda=0.5) & 0.995284497034375 \tabularnewline
Exactly Uniform (lambda=1) & 0.99181705966551 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34911&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]0.644250797355043[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.97892238088133[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.989059341222027[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.995284497034375[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.99181705966551[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34911&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34911&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)0.644250797355043
Exact Logistic (lambda=0)0.97892238088133
Approx. Normal (lambda=0.14)0.989059341222027
U-shaped (lambda=0.5)0.995284497034375
Exactly Uniform (lambda=1)0.99181705966551


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')