FreeStatistics.org

Free Statistics

of Irreproducible Research!

Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_tukeylambda.wasp
Title produced by softwareTukey lambda PPCC Plot
Date of computationMon, 22 Oct 2007 11:36:04 -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/2007/Oct/22/cxhc1imjnxasnn81193078302.htm/, Retrieved Mon, 06 May 2024 04:58:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=1432, Retrieved Mon, 06 May 2024 04:58:00 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsTaak2b.8G19
Estimated Impact164

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] [Symmetric Distrib...] [2007-10-22 18:36:04] [6b5c00822e2ce0f7cf73539c28d95782] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
106.48
106.83
107.14
107.94
108.46
108.81
108.92
108.99
109.16
109.22
109.43
109.23
109.93
110.09
110.33
110.11
110.35
110.09
110.44
110.39
110.62
110.43
110.46
110.55
110.94
111.56
111.82
111.73
111.57
111.85
112.06
112.2
112.47
112.15
112.36
112.32
112.67
113.02
113.05
113.5
113.67
113.65
114
114.03
114.08
114.49
114.48
114.25
114.68
115.28
115.9
115.87
116.09
116.29
116.76
116.78
116.65
116.46
116.82
116.91

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=1432&T=0

[TABLE]
[ROW][C]Summary of compuational 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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=1432&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=1432&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.628927649921964
Exact Logistic (lambda=0)0.974855475826842
Approx. Normal (lambda=0.14)0.985924187424693
U-shaped (lambda=0.5)0.993519297696597
Exactly Uniform (lambda=1)0.990642036207403

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.628927649921964 \tabularnewline
Exact Logistic (lambda=0) & 0.974855475826842 \tabularnewline
Approx. Normal (lambda=0.14) & 0.985924187424693 \tabularnewline
U-shaped (lambda=0.5) & 0.993519297696597 \tabularnewline
Exactly Uniform (lambda=1) & 0.990642036207403 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=1432&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]0.628927649921964[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.974855475826842[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.985924187424693[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.993519297696597[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.990642036207403[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=1432&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=1432&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)0.628927649921964
Exact Logistic (lambda=0)0.974855475826842
Approx. Normal (lambda=0.14)0.985924187424693
U-shaped (lambda=0.5)0.993519297696597
Exactly Uniform (lambda=1)0.990642036207403


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')