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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, 22 Oct 2008 09:05:33 -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/22/t12246880674baoq6l3gyhyg0x.htm/, Retrieved Sun, 19 May 2024 14:00:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18415, Retrieved Sun, 19 May 2024 14:00:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact211

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] [PPCC-plot Q8 (Aan...] [2008-10-22 15:05:33] [e08fee3874f3333d6b7a377a061b860d] [Current]
Feedback Forum
2008-11-02 11:28:57 [Kevin Neelen] [reply] 
Ik heb hier de juiste methode gebruikt, namelijk het PPCC PLot Tukey Lambda.
We zien hier een maximale correlatiewaarde rond een Lambda-waarde van 0,5. Maar als wa dit nader bestuderen, zien we dat de correlatiewaarde van de benaderend normale verdeling hier slechts marginaal kleiner is dan die van de U-vormige verdeling. Daarom is het hier het beste om misschien het model van de benaderend normale verdeling te kiezen.
2008-11-02 14:34:32 [Stijn Van de Velde] [reply] 
Volledig akkoord, het is inderdaad beter om bij zulk klein verschil het model van de normaal verdeling te nemen.
2008-11-02 14:41:15 [Michaël De Kuyer] [reply] 
Ook ik kan hiermee instemmen.
2008-11-03 08:57:15 [Siem Van Opstal] [reply] 
juiste berekening en correcte conclusie
2008-11-04 08:57:44 [Michael Van Spaandonck] [reply] 
Juist berekend. Juiste conclusie.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
58.972
59.249
63.955
53.785
52.760
44.795
37.348
32.370
32.717
40.974
33.591
21.124
58.608
46.865
51.378
46.235
47.206
45.382
41.227
33.795
31.295
42.625
33.625
21.538
56.421
53.152
53.536
52.408
41.454
38.271
35.306
26.414
31.917
38.030
27.534
18.387
50.556
43.901
48.572
43.899
37.532
40.357
35.489
29.027
34.485
42.598
30.306
26.451
47.460
50.104
61.465
53.726
39.477
43.895
31.481
29.896
33.842
39.120
33.702
25.094

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=18415&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=18415&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18415&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)0.669251329939459
Exact Logistic (lambda=0)0.986576071398579
Approx. Normal (lambda=0.14)0.994263207556688
U-shaped (lambda=0.5)0.99616676328426
Exactly Uniform (lambda=1)0.990185415136842

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.669251329939459 \tabularnewline
Exact Logistic (lambda=0) & 0.986576071398579 \tabularnewline
Approx. Normal (lambda=0.14) & 0.994263207556688 \tabularnewline
U-shaped (lambda=0.5) & 0.99616676328426 \tabularnewline
Exactly Uniform (lambda=1) & 0.990185415136842 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18415&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]0.669251329939459[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.986576071398579[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.994263207556688[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.99616676328426[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.990185415136842[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18415&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18415&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)0.669251329939459
Exact Logistic (lambda=0)0.986576071398579
Approx. Normal (lambda=0.14)0.994263207556688
U-shaped (lambda=0.5)0.99616676328426
Exactly Uniform (lambda=1)0.990185415136842


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')