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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 computationSat, 25 Oct 2008 09:18:23 -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/25/t1224947942ttiutb98akv1k34.htm/, Retrieved Wed, 22 May 2024 15:15:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18770, Retrieved Wed, 22 May 2024 15:15:44 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact131

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] [PPCC plot: Vlaams...] [2008-10-25 15:18:23] [0831954c833179c36e9320daee0825b5] [Current]
Feedback Forum
2008-10-29 17:54:43 [Niels Stas] [reply] 
Het antwoord van de student is correct want de grootste correlatie is inderdaad terug te vinden bij:
Exact Logistic, lambda=0 (waarde correlatie: 0.969986616095765)
2008-10-29 19:52:47 [Tom Ardies] [reply] 
het antwoord is correct.
2008-10-30 14:12:04 [Bob Leysen] [reply] 
Correct antwoord:

Exact Logistic (lambda=0) 0.969986616095765
2008-11-03 16:49:13 [Jeroen Michel] [reply] 
Hier is weinig op aan te merken. De student geeft op de gevonden output een juiste conclusie en feedback. Deze opdracht is correct uitgevoerd.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0,797974
0,806243
0,795912
0,80236
0,80157
0,807034
0,803075
0,804388
0,807334
0,808039
0,800208
0,808518
0,800323
0,807641
0,807843
0,808647
0,802774
0,800387
0,799744
0,801755
0,799294
0,800994
0,801697
0,805512
0,799396
0,808458
0,804788
0,803232
0,805114
0,804385
0,803292
0,798574
0,802943
0,801767
0,798419
0,803301
0,805025
0,812093
0,80564
0,807676
0,800135
0,794657
0,779268
0,787052
0,796981
0,784986
0,79138
0,801543
0,798333
0,80404
0,799443
0,802055
0,804435
0,803417
0,809433
0,810135
0,809626
0,815044
0,806292
0,809363
0,812224
0,810642
0,812912
0,805542
0,802734
0,797022
0,7978
0,796909
0,806619
0,806229

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'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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18770&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18770&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18770&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'Gwilym Jenkins' @ 72.249.127.135






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.760974046515385
Exact Logistic (lambda=0)0.969986616095765
Approx. Normal (lambda=0.14)0.962743544367739
U-shaped (lambda=0.5)0.938808276807591
Exactly Uniform (lambda=1)0.918055075932317

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.760974046515385 \tabularnewline
Exact Logistic (lambda=0) & 0.969986616095765 \tabularnewline
Approx. Normal (lambda=0.14) & 0.962743544367739 \tabularnewline
U-shaped (lambda=0.5) & 0.938808276807591 \tabularnewline
Exactly Uniform (lambda=1) & 0.918055075932317 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18770&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]0.760974046515385[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.969986616095765[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.962743544367739[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.938808276807591[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.918055075932317[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18770&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18770&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)0.760974046515385
Exact Logistic (lambda=0)0.969986616095765
Approx. Normal (lambda=0.14)0.962743544367739
U-shaped (lambda=0.5)0.938808276807591
Exactly Uniform (lambda=1)0.918055075932317


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')