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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, 31 Jan 2019 17:20:37 +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/2019/Jan/31/t154895165716a2tmio0t6vdp3.htm/, Retrieved Sun, 05 May 2024 15:42:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=318707, Retrieved Sun, 05 May 2024 15:42:21 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact27

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] [] [2019-01-31 16:20:37] [53d20a8fd24ab071358bc4e3df78d856] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
-0.628162412817692
-2.46301447929447
-3.75038661297768
0.801641810798906
1.31725030274473
6.07651176840064
6.94589828224875
-0.198358189201074
-2.73650956748366
-0.152997113685818
-3.20400612400917
-1.34586197071795
-1.33516693443564
-1.74900223484405
-0.302676976651547
1.86822531243473
5.14212695982147
-0.11134249999139
-0.851495053263853
-3.32267426707525

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=318707&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]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=318707&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=318707&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 time1 seconds
R ServerBig Analytics Cloud Computing Center






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.806985210454218
Exact Logistic (lambda=0)0.940669419893366
Approx. Normal (lambda=0.14)0.94158673781696
U-shaped (lambda=0.5)0.93517165617994
Exactly Uniform (lambda=1)0.924299882636128

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.806985210454218 \tabularnewline
Exact Logistic (lambda=0) & 0.940669419893366 \tabularnewline
Approx. Normal (lambda=0.14) & 0.94158673781696 \tabularnewline
U-shaped (lambda=0.5) & 0.93517165617994 \tabularnewline
Exactly Uniform (lambda=1) & 0.924299882636128 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=318707&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]0.806985210454218[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.940669419893366[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.94158673781696[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.93517165617994[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.924299882636128[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=318707&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=318707&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)0.806985210454218
Exact Logistic (lambda=0)0.940669419893366
Approx. Normal (lambda=0.14)0.94158673781696
U-shaped (lambda=0.5)0.93517165617994
Exactly Uniform (lambda=1)0.924299882636128


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 12 ; par2 = Single ; par3 = additive ; par4 = 12 ;
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')