Free Statistics

of Irreproducible Research!

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, 29 Nov 2011 04:14:54 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Nov/29/t1322558106og5c4hkvxh1f4ue.htm/, Retrieved Fri, 29 Mar 2024 12:34:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=148126, Retrieved Fri, 29 Mar 2024 12:34:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact102
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]
- R PD  [Tukey lambda PPCC Plot] [] [2011-10-17 20:10:37] [aefb5c2d4042694c5b6b82f93ac1885a]
-   P       [Tukey lambda PPCC Plot] [] [2011-11-29 09:14:54] [5f7ae77ad4c15dc18491c39fdf8bddde] [Current]
Feedback Forum

Post a new message
Dataseries X:
23
20
20
21
24
22
23
20
25
23
27
27
22
24
25
22
28
28
27
25
16
28
21
24
27
14
14
27
20
21
22
21
12
20
24
19
28
23
27
22
27
26
22
21
19
24
19
26
22
28
21
23
28
10
24
21
21
24
24
25
25
23
21
16
17
25
24
23
25
23
28
26
22
19
26
18
18
25
27
12
15
21
23
22
21
24
27
22
28
26
10
19
22
21
24
25
21
20
21
24
23
18
24
24
19
20
18
20
27
23
26
23
17
21
25
23
27
24
20
27
21
24
21
15
25
25
22
24
21
22
23
22
20
23
25
23
22
25
26
22
24
24
25
20
26
21
26
21
22
16
26
28
18
25
23
21
20
25
22
21
16
18




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'AstonUniversity' @ aston.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 & 2 seconds \tabularnewline
R Server & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148126&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148126&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148126&T=0

As an alternative you can also use a 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'AstonUniversity' @ aston.wessa.net







Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.558794830555915
Exact Logistic (lambda=0)0.97026728171214
Approx. Normal (lambda=0.14)0.971831002278159
U-shaped (lambda=0.5)0.959811559184502
Exactly Uniform (lambda=1)0.944782426561482

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.558794830555915 \tabularnewline
Exact Logistic (lambda=0) & 0.97026728171214 \tabularnewline
Approx. Normal (lambda=0.14) & 0.971831002278159 \tabularnewline
U-shaped (lambda=0.5) & 0.959811559184502 \tabularnewline
Exactly Uniform (lambda=1) & 0.944782426561482 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148126&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]0.558794830555915[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.97026728171214[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.971831002278159[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.959811559184502[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.944782426561482[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148126&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148126&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.558794830555915
Exact Logistic (lambda=0)0.97026728171214
Approx. Normal (lambda=0.14)0.971831002278159
U-shaped (lambda=0.5)0.959811559184502
Exactly Uniform (lambda=1)0.944782426561482



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')