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Description of Statistical Computation

Author's title

Q8: Can you find a symmetric distribution that describes the random compone...

Author*The author of this computation has been verified*
R Software Modulerwasp_tukeylambda.wasp
Title produced by softwareTukey lambda PPCC Plot
Date of computationFri, 24 Oct 2008 05:50:03 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Oct/24/t1224849064usjkom5yvm6mxkk.htm/, Retrieved Sun, 19 May 2024 03:21:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18591, Retrieved Sun, 19 May 2024 03:21:34 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact212

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Tukey lambda PPCC Plot] [Investigating dis...] [2007-10-22 19:59:15] [b9964c45117f7aac638ab9056d451faa]
F    D    [Tukey lambda PPCC Plot] [Q8: Can you find ...] [2008-10-24 11:50:03] [fdd69703d301fae09456f660b2f52997] [Current]
-    D      [Tukey lambda PPCC Plot] [Q8: Can you find ...] [2008-10-27 19:54:35] [988ab43f527fc78aae41c84649095267]
Feedback Forum
2008-11-03 20:05:06 [Thomas Baken] [reply] 
We kunnen hier inderdaad bemerken dat U-shaped (lambda=0.5) 0.99194269358605, de hoogste is, welke bijgevolg de symmetric distribution is.
2008-11-03 21:20:23 [Bart Haemels] [reply] 
Je antwoord is correct.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0.117354396717212
0.118845681032272
0.112391885267935
0.111306414892192
0.111557866161293
0.115874513020299
0.120518600028397
0.127937652516104
0.11613316666403
0.109945475878252
0.116553866162416
0.116068157652546
0.113370026071156
0.123182199760877
0.111632647202366
0.109758101752217
0.105238647621144
0.110567657536647
0.109445829081846
0.115565377944385
0.109040168162481
0.118699838338174
0.115706070657763
0.103330532839008
0.114086556139986
0.111186708004422
0.108409409523554
0.101131998751098
0.101340239460215
0.101132392401369
0.103330089281936
0.112997274264224
0.101388063209412
0.0954252014189293
0.111307936120104
0.108517581966327
0.113117723156533
0.12234246171967
0.116281802327739
0.092816312987346
0.0954083259281368
0.0983760049075001
0.100589152001216
0.104522549361392
0.0998363447670241
0.0959721467215449
0.097031371532279
0.093072585629373
0.100082898456186
0.100416078984485
0.10057893372505
0.0940357410855729
0.0902738332694873
0.0956823578799632
0.103656114777059
0.111759459418603
0.10108471855862
0.0980399013830847
0.0975611265478894
0.0955190702462385

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'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18591&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18591&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18591&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'George Udny Yule' @ 72.249.76.132






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.657006780509426
Exact Logistic (lambda=0)0.97581176961192
Approx. Normal (lambda=0.14)0.985483732678783
U-shaped (lambda=0.5)0.99194269358605
Exactly Uniform (lambda=1)0.989674262680088

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.657006780509426 \tabularnewline
Exact Logistic (lambda=0) & 0.97581176961192 \tabularnewline
Approx. Normal (lambda=0.14) & 0.985483732678783 \tabularnewline
U-shaped (lambda=0.5) & 0.99194269358605 \tabularnewline
Exactly Uniform (lambda=1) & 0.989674262680088 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18591&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]0.657006780509426[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.97581176961192[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.985483732678783[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.99194269358605[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.989674262680088[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18591&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18591&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)0.657006780509426
Exact Logistic (lambda=0)0.97581176961192
Approx. Normal (lambda=0.14)0.985483732678783
U-shaped (lambda=0.5)0.99194269358605
Exactly Uniform (lambda=1)0.989674262680088


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')