FreeStatistics.org

Free Statistics

of Irreproducible Research!

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 17:12:44 -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/19/t12296455931h0i66iv1gmrkbn.htm/, Retrieved Wed, 15 May 2024 17:59:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=34975, Retrieved Wed, 15 May 2024 17:59:20 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords4
Estimated Impact206

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]
F    D  [Tukey lambda PPCC Plot] [Q1: Tukey lambda ...] [2008-10-26 12:32:26] [fe7291e888d31b8c4db0b24d6c0f75c6]
- R  D      [Tukey lambda PPCC Plot] [4] [2008-12-19 00:12:44] [783db4b4a0f63b73ca8b14666b7f4329] [Current]
-    D        [Tukey lambda PPCC Plot] [1] [2008-12-22 18:54:55] [fe7291e888d31b8c4db0b24d6c0f75c6]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
15
12
3
20
27
22
19
21
29
18
31
31
35
38
36
33
29
37
28
32
31
24
25
27
27
29
33
26
16
15
13
18
8
21
21
25
28
27
24
24
24
28
31
26
28
34
33
24
30
31
28
35
33
34
31
21
21
22
9
15
13
17
19
14
8
3
0
10
12
9
9

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 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 & 5 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34975&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]5 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=34975&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34975&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 time5 seconds
R Server'George Udny Yule' @ 72.249.76.132






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.631148885403378
Exact Logistic (lambda=0)0.972350071195188
Approx. Normal (lambda=0.14)0.98083608215166
U-shaped (lambda=0.5)0.983671812126111
Exactly Uniform (lambda=1)0.978152226041815

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.631148885403378 \tabularnewline
Exact Logistic (lambda=0) & 0.972350071195188 \tabularnewline
Approx. Normal (lambda=0.14) & 0.98083608215166 \tabularnewline
U-shaped (lambda=0.5) & 0.983671812126111 \tabularnewline
Exactly Uniform (lambda=1) & 0.978152226041815 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34975&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]0.631148885403378[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.972350071195188[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.98083608215166[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.983671812126111[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.978152226041815[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34975&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34975&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)0.631148885403378
Exact Logistic (lambda=0)0.972350071195188
Approx. Normal (lambda=0.14)0.98083608215166
U-shaped (lambda=0.5)0.983671812126111
Exactly Uniform (lambda=1)0.978152226041815


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')