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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 computationFri, 23 Dec 2016 14:19:27 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/23/t14824991797zqlkqbmcgvohuf.htm/, Retrieved Wed, 08 May 2024 02:29:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=302933, Retrieved Wed, 08 May 2024 02:29:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact70

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] [Tukey Lambda N1668] [2016-12-23 13:19:27] [da1cd5b79b9c78a074da6b069a6d8376] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
4200
5800
7850
6000
4850
5100
7450
4900
4850
3450
4150
3600
2650
4800
4300
1950
3500
5450
5450
4850
4800
3150
6550
6550
6900
5850
5300
5850
4700
3650
2750
4800
6650
4400
2250
3900
5450
3450
3700
2400
4700
3850
6200
2350
4900
4150
2750
5550
3450

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time0 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302933&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]0 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=302933&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302933&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R ServerBig Analytics Cloud Computing Center






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.712290811382145
Exact Logistic (lambda=0)0.989014304055636
Approx. Normal (lambda=0.14)0.994335191828444
U-shaped (lambda=0.5)0.992380933498183
Exactly Uniform (lambda=1)0.983754947014291

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.712290811382145 \tabularnewline
Exact Logistic (lambda=0) & 0.989014304055636 \tabularnewline
Approx. Normal (lambda=0.14) & 0.994335191828444 \tabularnewline
U-shaped (lambda=0.5) & 0.992380933498183 \tabularnewline
Exactly Uniform (lambda=1) & 0.983754947014291 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302933&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]0.712290811382145[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.989014304055636[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.994335191828444[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.992380933498183[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.983754947014291[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302933&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302933&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)0.712290811382145
Exact Logistic (lambda=0)0.989014304055636
Approx. Normal (lambda=0.14)0.994335191828444
U-shaped (lambda=0.5)0.992380933498183
Exactly Uniform (lambda=1)0.983754947014291


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')