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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_tukeylambda.wasp
Title produced by softwareTukey lambda PPCC Plot
Date of computationMon, 17 Dec 2007 13:47:43 -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/2007/Dec/17/t1197923461qg9j7akyhq5hkqn.htm/, Retrieved Sat, 04 May 2024 02:47:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=4427, Retrieved Sat, 04 May 2024 02:47:41 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsPPPCCRMA
Estimated Impact203

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] [Paper - PPCC-plot...] [2007-12-17 20:47:43] [e51d7ab0e549b3dc96ac85a81d9bd259] [Current]
-    D    [Tukey lambda PPCC Plot] [Paper - PPCC-plot...] [2008-12-27 13:12:59] [1aad2bd7746abaf3ab17fe0d80878872]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
-0.385868851153837
4.81234262686034
-5.86804122114596
16.0725680225492
-8.57525163788969
5.08247518971098
0.092732021505415
3.83298655010795
5.81986266263392
37.1247698411582
-0.456916305824569
-3.62813490741323
-3.87648507892191
4.61958462101272
-12.967748044016
3.19886759717217
-5.74783565702396
-0.568909646003526
-7.15658094463292
-18.0497313555278
15.6314099338156
-18.6819481453537
-0.704909311621681
2.59171945848611
2.56763423323193
0.363060127151921
32.5587282582796
8.52568321864334
1.42269516052334
3.53469472344553
0.904411865388995
-1.1005444418027
13.3248076718110
-33.5907843348750
-0.845486516554237
42.0892768528428
-6.25360506437205
-11.0785340316643
-29.2902232669615
-11.1727173982373
13.9239510644368
13.5369579913798
-16.4941540115674
-9.38355957013267
-2.83541693438183
-2.88173330956316
6.18397479401454
3.71189006095175
3.17508248559435
-4.18249526402528
13.6042900329871
4.81933405297545
10.0482983006261
9.69015652302726
-13.6259654676286
2.81390485024080
2.39082408194279
9.1175078099302
14.2141474796521
3.49385172983141
5.51425675339953
-6.1504957612917
2.72297593670155
-11.1163190852539
-4.69675096946234
1.81576665288666
-10.4353591925503
6.036622781552

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4427&T=0

[TABLE]
[ROW][C]Summary of compuational 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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4427&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4427&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.804139864248167
Exact Logistic (lambda=0)0.977896564910508
Approx. Normal (lambda=0.14)0.96559892918303
U-shaped (lambda=0.5)0.932368588584757
Exactly Uniform (lambda=1)0.905632623928766

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.804139864248167 \tabularnewline
Exact Logistic (lambda=0) & 0.977896564910508 \tabularnewline
Approx. Normal (lambda=0.14) & 0.96559892918303 \tabularnewline
U-shaped (lambda=0.5) & 0.932368588584757 \tabularnewline
Exactly Uniform (lambda=1) & 0.905632623928766 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4427&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]0.804139864248167[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.977896564910508[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.96559892918303[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.932368588584757[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.905632623928766[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4427&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4427&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)0.804139864248167
Exact Logistic (lambda=0)0.977896564910508
Approx. Normal (lambda=0.14)0.96559892918303
U-shaped (lambda=0.5)0.932368588584757
Exactly Uniform (lambda=1)0.905632623928766


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')