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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 computationMon, 09 Nov 2009 17:40:39 -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/10/t1257813692iusl264rj9xd7ee.htm/, Retrieved Sun, 05 May 2024 21:39:58 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=55111, Retrieved Sun, 05 May 2024 21:39:58 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact170

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]
- R  D    [Tukey lambda PPCC Plot] [WorkShop6 (SHW)] [2009-11-10 00:40:39] [d41d8cd98f00b204e9800998ecf8427e] [Current]
-    D      [Tukey lambda PPCC Plot] [Workshop 6] [2009-11-12 15:28:57] [b6394cb5c2dcec6d17418d3cdf42d699]
-    D      [Tukey lambda PPCC Plot] [workshop 6 ppcc l...] [2009-11-12 15:29:01] [af8eb90b4bf1bcfcc4325c143dbee260]
-    D      [Tukey lambda PPCC Plot] [Workshop 10] [2009-11-12 15:29:05] [aba88da643e3763d32ff92bd8f92a385]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
282965
276610
277838
277051
277026
274960
270073
267063
264916
287182
291109
292223
288109
281400
282579
280113
280331
276759
275139
274275
271234
289725
290649
292223
278429
269749
265784
268957
264099
255121
253276
245980
235295
258479
260916
254586
250566
243345
247028
248464
244962
237003
237008
225477
226762
247857
248256
246892
245021
246186
255688
264242
268270
272969
273886
267353
271916
292633
295804
293222

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=55111&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=55111&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=55111&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 time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.638415642241605
Exact Logistic (lambda=0)0.972830302010255
Approx. Normal (lambda=0.14)0.98306041174918
U-shaped (lambda=0.5)0.98954389383713
Exactly Uniform (lambda=1)0.98632449472769

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.638415642241605 \tabularnewline
Exact Logistic (lambda=0) & 0.972830302010255 \tabularnewline
Approx. Normal (lambda=0.14) & 0.98306041174918 \tabularnewline
U-shaped (lambda=0.5) & 0.98954389383713 \tabularnewline
Exactly Uniform (lambda=1) & 0.98632449472769 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=55111&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]0.638415642241605[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.972830302010255[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.98306041174918[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.98954389383713[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.98632449472769[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=55111&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=55111&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)0.638415642241605
Exact Logistic (lambda=0)0.972830302010255
Approx. Normal (lambda=0.14)0.98306041174918
U-shaped (lambda=0.5)0.98954389383713
Exactly Uniform (lambda=1)0.98632449472769


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')