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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 computationWed, 25 Nov 2015 11:40:52 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Nov/25/t14484516761tlxao7m94y286c.htm/, Retrieved Wed, 15 May 2024 01:09:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=284120, Retrieved Wed, 15 May 2024 01:09:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact80

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 wlh ...] [2015-11-25 11:40:52] [a1ef7242c538c2ceec1bb3dfe0647903] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
276444
268606
267679
269879
265641
262525
258597
253849
256221
286895
294610
280363
269926
264341
263269
271045
267915
262078
257751
253271
257638
287452
298152
284793
274560
268270
267577
271866
268546
264722
262425
258973
262751
296186
304659
295442
285466
279575
279985
286012
281337
276270
271472
265637
268974
299299
305452
295468
285584
278204
276505
279732
276980
271832
263105
256162
260705
285857
291870
280358
270981

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 1 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284120&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284120&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284120&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.64334572594594
Exact Logistic (lambda=0)0.972394558046314
Approx. Normal (lambda=0.14)0.981094116609633
U-shaped (lambda=0.5)0.984440306184132
Exactly Uniform (lambda=1)0.978967803964025

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.64334572594594 \tabularnewline
Exact Logistic (lambda=0) & 0.972394558046314 \tabularnewline
Approx. Normal (lambda=0.14) & 0.981094116609633 \tabularnewline
U-shaped (lambda=0.5) & 0.984440306184132 \tabularnewline
Exactly Uniform (lambda=1) & 0.978967803964025 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284120&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]0.64334572594594[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.972394558046314[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.981094116609633[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.984440306184132[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.978967803964025[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284120&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284120&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)0.64334572594594
Exact Logistic (lambda=0)0.972394558046314
Approx. Normal (lambda=0.14)0.981094116609633
U-shaped (lambda=0.5)0.984440306184132
Exactly Uniform (lambda=1)0.978967803964025


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')