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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 computationFri, 13 Nov 2009 08:56:05 -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/Nov/13/t1258127796fo0ddr4f3hh6q5b.htm/, Retrieved Sun, 05 May 2024 16:03:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=56846, Retrieved Sun, 05 May 2024 16:03:04 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact140

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] [3/11/2009] [2009-11-02 22:14:51] [b98453cac15ba1066b407e146608df68]
-   PD    [Tukey lambda PPCC Plot] [] [2009-11-13 15:56:05] [c88a5f1b97e332c6387d668c465455af] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
280
557
831
1081
1318
1578
1859
2141
2428
2715
3004
3309
269
537
813
1068
1411
1675
1958
2242
2524
2836
3143
3522
285
574
865
1147
1516
1789
2087
2372
2669
2966
3270
3652
329
658
988
1303
1603
1929
2235
2544
2872
3198
3544
3903
332
665
1001
1329
1639
1975
2304
2640
2992
3330
3690
4063

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=56846&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=56846&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=56846&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)0.605740984118648
Exact Logistic (lambda=0)0.969588504525454
Approx. Normal (lambda=0.14)0.98372286778137
U-shaped (lambda=0.5)0.997180773918922
Exactly Uniform (lambda=1)0.99823750755735

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.605740984118648 \tabularnewline
Exact Logistic (lambda=0) & 0.969588504525454 \tabularnewline
Approx. Normal (lambda=0.14) & 0.98372286778137 \tabularnewline
U-shaped (lambda=0.5) & 0.997180773918922 \tabularnewline
Exactly Uniform (lambda=1) & 0.99823750755735 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=56846&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]0.605740984118648[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.969588504525454[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.98372286778137[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.997180773918922[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.99823750755735[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=56846&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=56846&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)0.605740984118648
Exact Logistic (lambda=0)0.969588504525454
Approx. Normal (lambda=0.14)0.98372286778137
U-shaped (lambda=0.5)0.997180773918922
Exactly Uniform (lambda=1)0.99823750755735


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 12 ;
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')