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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_tukeylambda.wasp
Title produced by softwareTukey lambda PPCC Plot
Date of computationTue, 18 Dec 2007 10:17:36 -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/2007/Dec/18/t1197997287f2mxtfedgz6yi3l.htm/, Retrieved Sat, 04 May 2024 12:29:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=4555, Retrieved Sat, 04 May 2024 12:29:48 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact203

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-tukey lambd...] [2007-12-18 17:17:36] [5b9249e3962a4d9b95a2c513d8084bf7] [Current]
-    D    [Tukey lambda PPCC Plot] [paper-tukey lambd...] [2008-12-27 13:02:01] [1aad2bd7746abaf3ab17fe0d80878872]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0.084299365852926 
-15.5692124815993 
-6.9953619930182 
-2.07575919037298 
6.06472185178652 
3.10063183929146 
-7.27872604143293 
11.9305592423578 
-15.1800926797913 
-4.96965957564265 
-3.06184332688462 
5.17876413221274 
-2.29638814463019 
-1.85853257792512 
-8.74637895628288 
-8.02346934029272 
4.80319999595127 
3.90173526693944 
-11.3069080265042 
4.26225040152088 
-6.88628010104842 
4.12797896412461 
4.24824928932737 
-5.91811547446539 
-2.62127541719435 
-5.11947651478644 
-6.19169292552164 
1.57682830128841 
6.93381888926023 
1.30435330636300 
0.701451547474772 
18.1487693268603 
-13.6251962127511 
-8.9684198944174 
-3.48024416476534 
0.133268755660886 
0.156896176204026 
-1.28412130463800 
-8.4586972345603 
-2.91518278408049 
0.150465578819962 
3.86877987666889 
7.70993797103159 
-4.11650976301151 
-2.74475852656699 
3.19286810860467 
-6.2212027713738 
1.25489355791219 
4.23585013027417 
0.153440583363572 
-2.05719003274709 
2.14422869581576 
-1.68156215590428 
5.0318450949173 
2.24823311061623 
-6.58372573676435 
-2.85420176875137 
5.0379752614482 
4.43711208741108 
-0.675511401722624 
-2.50684702275299 
2.35909448398834 
-6.31849429304567 
-3.81949862816358 
2.17307118170725 
4.13663986179168 
-6.96229654560136 
5.28008601863276 
4.2774558989149

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\begin{tabular}{lllllllll}
\hline
Summary of compuational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4555&T=0

[TABLE]
[ROW][C]Summary of compuational 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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4555&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4555&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.74400929675401
Exact Logistic (lambda=0)0.988311110401331
Approx. Normal (lambda=0.14)0.98653684795596
U-shaped (lambda=0.5)0.972858907324928
Exactly Uniform (lambda=1)0.958903944124829

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.74400929675401 \tabularnewline
Exact Logistic (lambda=0) & 0.988311110401331 \tabularnewline
Approx. Normal (lambda=0.14) & 0.98653684795596 \tabularnewline
U-shaped (lambda=0.5) & 0.972858907324928 \tabularnewline
Exactly Uniform (lambda=1) & 0.958903944124829 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4555&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]0.74400929675401[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.988311110401331[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.98653684795596[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.972858907324928[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.958903944124829[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4555&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4555&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)0.74400929675401
Exact Logistic (lambda=0)0.988311110401331
Approx. Normal (lambda=0.14)0.98653684795596
U-shaped (lambda=0.5)0.972858907324928
Exactly Uniform (lambda=1)0.958903944124829


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')