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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 computationSat, 17 Dec 2016 16:05:37 +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/2016/Dec/17/t1481987529uua77jpwi41h0ut.htm/, Retrieved Thu, 02 May 2024 11:42:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=300847, Retrieved Thu, 02 May 2024 11:42:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact67

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] [] [2016-12-17 15:05:37] [6deb082de88ded72ec069288c69f9f98] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
5410.4
5432.2
5452.9
5477.6
5472.5
5454.9
5446
5010.6
5395.9
5360
5336.9
5333.9
5329.6
5345.7
5353.8
5377.2
5334.1
5351.1
5001
5246.4
5230
5115.8
4972.6
5077.6
5056.9
5070.7
4799.3
5076
5021.5
5026.4
4981.9
4936.6
4901.8
4853.8
4839.2
4821.3
4840.5
4847.6
4832.3
4814.7
4806.4
4803.4
4770.3
4723.4
4667.1
4636.8
4613.2
4605.3
4590.4
4595.4
4600.1
4543.3
4596.4
4575.4
4547.9
4503.7
4446.3
4401.4
4354.3
4336.3
4300.9
4304.1
4273.2
4279.9
4243.1
4199.1
4177.6
4141.7
4088.3
4021.4
3981.2
3937.2
3893.1
3864.7
3847.8
3840.8
3828.4
3798.6
3773
3737.8
3699
3674
3648.8
3645.6
3331
3674.7
3714.5
3739.7
3759.7
3708.6
3717.3
3705.3
3612.8
3665
3670.8
3687.6
3708.2
3737.2
3748.7
3785.3
3787.1
3785.8
3749.7
3716.3
3650
3096.9
3703.2
3716
3736.9
3771.9
3704
3824.2
3733.5
3827.5
3827.6
3696.5
3675.8
3757.5
3753.3
3418.7
3772.9

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=300847&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=300847&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300847&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)0.481112902089453
Exact Logistic (lambda=0)0.933978459246321
Approx. Normal (lambda=0.14)0.952856034627151
U-shaped (lambda=0.5)0.974064993789547
Exactly Uniform (lambda=1)0.980853925797046

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.481112902089453 \tabularnewline
Exact Logistic (lambda=0) & 0.933978459246321 \tabularnewline
Approx. Normal (lambda=0.14) & 0.952856034627151 \tabularnewline
U-shaped (lambda=0.5) & 0.974064993789547 \tabularnewline
Exactly Uniform (lambda=1) & 0.980853925797046 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300847&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]0.481112902089453[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.933978459246321[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.952856034627151[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.974064993789547[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.980853925797046[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300847&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300847&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)0.481112902089453
Exact Logistic (lambda=0)0.933978459246321
Approx. Normal (lambda=0.14)0.952856034627151
U-shaped (lambda=0.5)0.974064993789547
Exactly Uniform (lambda=1)0.980853925797046


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')