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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 computationTue, 20 Dec 2011 05:07:07 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/20/t1324375642o9ik5ajp2m1rehh.htm/, Retrieved Mon, 06 May 2024 09:47:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=157872, Retrieved Mon, 06 May 2024 09:47:52 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact93

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] [paper15] [2011-12-20 10:07:07] [47995d3a8fac585eeb070a274b466f8c] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1770
2203
2836
1976
2837
2150
2180
2631
1781
2327
2260
2051
2250
2102
2957
2485
2871
2447
2570
2622
1840
2682
2369
2119
2531
2214
3206
2709
2734
2348
2702
2642
2064
2647
2534
2297
2718
2321
3112
2664
2808
2668
2934
2616
2228
2463
2416
2407
2582
2101
3305
2818
2401
3019
2507
2948
2210
2467
2596
2451

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'AstonUniversity' @ aston.wessa.net

\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 & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=157872&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=157872&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=157872&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'AstonUniversity' @ aston.wessa.net






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.706142737050213
Exact Logistic (lambda=0)0.994266804418585
Approx. Normal (lambda=0.14)0.99749761675915
U-shaped (lambda=0.5)0.991219989261145
Exactly Uniform (lambda=1)0.98008182350495

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.706142737050213 \tabularnewline
Exact Logistic (lambda=0) & 0.994266804418585 \tabularnewline
Approx. Normal (lambda=0.14) & 0.99749761675915 \tabularnewline
U-shaped (lambda=0.5) & 0.991219989261145 \tabularnewline
Exactly Uniform (lambda=1) & 0.98008182350495 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=157872&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]0.706142737050213[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.994266804418585[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.99749761675915[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.991219989261145[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.98008182350495[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=157872&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=157872&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)0.706142737050213
Exact Logistic (lambda=0)0.994266804418585
Approx. Normal (lambda=0.14)0.99749761675915
U-shaped (lambda=0.5)0.991219989261145
Exactly Uniform (lambda=1)0.98008182350495


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')