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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, 16 Dec 2009 10:31:47 -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/Dec/16/t1260984996poyirindehnjt3g.htm/, Retrieved Tue, 30 Apr 2024 19:09:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=68499, Retrieved Tue, 30 Apr 2024 19:09:21 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact109

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 bekerening ...] [2009-12-16 17:31:47] [0875edf2b3e9b91e51327d1913579f76] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
18730
22485
20036
16971
19028
22759
20516
26195
27786
24090
25447
11509
15572
22518
20520
17789
20205
26835
25826
31934
30019
30111
31566
12738
19814
24776
20424
18688
20418
25778
25100
25859
30651
26551
31124
9367
17382
20995
18205
17328
18157
23691
26736
27165
34506
29506
31956
10698
18479
19785
19684
18730
17970
27044
22405
26482
29096
25591
29743
13807

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=68499&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=68499&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=68499&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)0.68109912265441
Exact Logistic (lambda=0)0.9843578565089
Approx. Normal (lambda=0.14)0.990508674859188
U-shaped (lambda=0.5)0.989878462378397
Exactly Uniform (lambda=1)0.98257525727409

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.68109912265441 \tabularnewline
Exact Logistic (lambda=0) & 0.9843578565089 \tabularnewline
Approx. Normal (lambda=0.14) & 0.990508674859188 \tabularnewline
U-shaped (lambda=0.5) & 0.989878462378397 \tabularnewline
Exactly Uniform (lambda=1) & 0.98257525727409 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=68499&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]0.68109912265441[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.9843578565089[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.990508674859188[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.989878462378397[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.98257525727409[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=68499&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=68499&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)0.68109912265441
Exact Logistic (lambda=0)0.9843578565089
Approx. Normal (lambda=0.14)0.990508674859188
U-shaped (lambda=0.5)0.989878462378397
Exactly Uniform (lambda=1)0.98257525727409


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')