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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, 16 Oct 2010 11:07:24 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Oct/16/t1287227172zvzfcjwrz6vjgrr.htm/, Retrieved Sun, 28 Apr 2024 14:43:17 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=83703, Retrieved Sun, 28 Apr 2024 14:43:17 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact159

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] [Intrinsic Motivat...] [2010-10-12 12:09:04] [b98453cac15ba1066b407e146608df68]
F    D    [Tukey lambda PPCC Plot] [intr. 2] [2010-10-16 11:07:24] [c2e23af56713b360851e64c7775b3f2b] [Current]
Feedback Forum
2010-10-23 09:18:17 [48eb36e2c01435ad7e4ea7854a9d98fe] [reply] 
Wat betreft de berekening van de 'Tukey Lambda PPCC plot' heeft de student de software correct gebruikt, echter ontbreekt er een correcte interpretatie van de gegevens.

Men ziet op de grafiek en ook in de tabel dat bij een Lambda waarde van 0,14 de grafiek zijn hoogtepunt kent, hieruit mogen we concluderen dat het hier om een “bijna” normaalverdeling gaat.

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Dataset

Dataseries X:
Download CSV
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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=83703&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=83703&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=83703&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)0.56242445502817
Exact Logistic (lambda=0)0.989690695953362
Approx. Normal (lambda=0.14)0.994220675676583
U-shaped (lambda=0.5)0.987562176002712
Exactly Uniform (lambda=1)0.975815658147389

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.56242445502817 \tabularnewline
Exact Logistic (lambda=0) & 0.989690695953362 \tabularnewline
Approx. Normal (lambda=0.14) & 0.994220675676583 \tabularnewline
U-shaped (lambda=0.5) & 0.987562176002712 \tabularnewline
Exactly Uniform (lambda=1) & 0.975815658147389 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=83703&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]0.56242445502817[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.989690695953362[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.994220675676583[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.987562176002712[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.975815658147389[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=83703&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=83703&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)0.56242445502817
Exact Logistic (lambda=0)0.989690695953362
Approx. Normal (lambda=0.14)0.994220675676583
U-shaped (lambda=0.5)0.987562176002712
Exactly Uniform (lambda=1)0.975815658147389


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')