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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, 18 Nov 2009 11:26:38 -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/2009/Nov/18/t12585688477alwxr78fo47tl8.htm/, Retrieved Sun, 05 May 2024 11:51:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=57580, Retrieved Sun, 05 May 2024 11:51:00 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact163

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] [3/11/2009] [2009-11-02 22:14:51] [b98453cac15ba1066b407e146608df68]
-   PD  [Tukey lambda PPCC Plot] [Tukey Lambda PPCC...] [2009-11-05 14:10:05] [f5d341d4bbba73282fc6e80153a6d315]
-    D    [Tukey lambda PPCC Plot] [Tukey Lamba BDM] [2009-11-10 12:22:51] [f5d341d4bbba73282fc6e80153a6d315]
-   PD      [Tukey lambda PPCC Plot] [WS6 Tukey] [2009-11-13 19:37:41] [445b292c553470d9fed8bc2796fd3a00]
-    D          [Tukey lambda PPCC Plot] [WS6 Review] [2009-11-18 18:26:38] [82f421ff86a0429b20e3ed68bd89f1bd] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
328282
317480
317539
313737
312276
309391
302950
300316
304035
333476
337698
335932
323931
313927
314485
313218
309664
302963
298989
298423
301631
329765
335083
327616
309119
295916
291413
291542
284678
276475
272566
264981
263290
296806
303598
286994
276427
266424
267153
268381
262522
255542
253158
243803
250741
280445
285257
270976
261076
255603
260376
263903
264291
263276
262572
256167
264221
293860
300713
287224

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=57580&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]0 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=57580&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=57580&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 time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.610742721205466
Exact Logistic (lambda=0)0.965480021393021
Approx. Normal (lambda=0.14)0.979184956118778
U-shaped (lambda=0.5)0.992371734566041
Exactly Uniform (lambda=1)0.993759703064981

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.610742721205466 \tabularnewline
Exact Logistic (lambda=0) & 0.965480021393021 \tabularnewline
Approx. Normal (lambda=0.14) & 0.979184956118778 \tabularnewline
U-shaped (lambda=0.5) & 0.992371734566041 \tabularnewline
Exactly Uniform (lambda=1) & 0.993759703064981 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=57580&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]0.610742721205466[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.965480021393021[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.979184956118778[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.992371734566041[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.993759703064981[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=57580&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=57580&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)0.610742721205466
Exact Logistic (lambda=0)0.965480021393021
Approx. Normal (lambda=0.14)0.979184956118778
U-shaped (lambda=0.5)0.992371734566041
Exactly Uniform (lambda=1)0.993759703064981


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')