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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 computationMon, 27 Oct 2008 15:29:10 -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/27/t1225143004o8f7qb0m85afq73.htm/, Retrieved Sun, 19 May 2024 15:23:45 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=19637, Retrieved Sun, 19 May 2024 15:23:45 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact127

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Data Series] [Buitenlandse handel] [2008-10-13 10:26:18] [1ce0d16c8f4225c977b42c8fa93bc163]
F   PD  [Univariate Data Series] [Aantal gebouwde w...] [2008-10-13 20:51:57] [05e9a6d53ace945e674f09e419f751d6]
-   PD    [Univariate Data Series] [Aantal begonnen w...] [2008-10-20 19:29:55] [a7f04e0e73ce3683561193958d653479]
-           [Univariate Data Series] [Aantal begonnen w...] [2008-10-20 19:33:36] [a7f04e0e73ce3683561193958d653479]
-             [Univariate Data Series] [Aantal begonnen w...] [2008-10-20 20:27:32] [a7f04e0e73ce3683561193958d653479]
- RMP             [Tukey lambda PPCC Plot] [Turkey Lambda - a...] [2008-10-27 21:29:10] [f1a30f1149cef3ef3ef69d586c6c3c1c] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3431
3874
2617
3580
5267
3832
3441
3228
3397
3971
4625
4486
4131
4686
3174
4282
4209
4159
3936
3153
3620
4227
4441
4808
4850
5040
3546
4669
5410
5134
4864
3999
4459
4622
5360
4658
5173
4845
3325
4720
4895
5071
4895
3805
4187
4435
4475
4774
5161
4529
3284
4303
4610
4691
4200
3471
3132
4226
3723
3576
3397

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=19637&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=19637&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=19637&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)0.649832413229584
Exact Logistic (lambda=0)0.976022014331575
Approx. Normal (lambda=0.14)0.986030404948217
U-shaped (lambda=0.5)0.99265185409535
Exactly Uniform (lambda=1)0.99002011420628

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.649832413229584 \tabularnewline
Exact Logistic (lambda=0) & 0.976022014331575 \tabularnewline
Approx. Normal (lambda=0.14) & 0.986030404948217 \tabularnewline
U-shaped (lambda=0.5) & 0.99265185409535 \tabularnewline
Exactly Uniform (lambda=1) & 0.99002011420628 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=19637&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]0.649832413229584[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.976022014331575[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.986030404948217[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.99265185409535[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.99002011420628[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=19637&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=19637&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)0.649832413229584
Exact Logistic (lambda=0)0.976022014331575
Approx. Normal (lambda=0.14)0.986030404948217
U-shaped (lambda=0.5)0.99265185409535
Exactly Uniform (lambda=1)0.99002011420628


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')