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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 computationSun, 06 Jan 2008 09:05:21 -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/2008/Jan/06/t1199635540c0xgumccs8q679g.htm/, Retrieved Sat, 04 May 2024 23:12:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=7828, Retrieved Sat, 04 May 2024 23:12:42 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsInvestigating distributions Econ activiteit Q1
Estimated Impact193

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Central Tendency] [WS2 - Robustness ...] [2007-10-20 13:06:37] [5343e105a400b9e32bf6f011133bbaf4]
- RM D    [Tukey lambda PPCC Plot] [CVWS2TIQ1] [2008-01-06 16:05:21] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
87,3
97,6
107,1
96,1
109,5
105,0
83,9
89,2
107,0
113,6
108,1
91,9
104,9
99,2
104,3
104,0
101,5
105,4
88,7
83,6
98,0
108,9
92,8
82,0
101,3
106,3
94,0
102,8
102,0
105,1
92,4
81,4
105,8
120,3
100,7
88,8
94,3
99,9
103,4
103,3
98,8
104,2
91,2
74,7
108,5
114,5
96,9
89,6
97,1
100,3
122,6
115,4
109,0
129,1
102,8
96,2
127,7
128,9
126,5
119,8
113,2
114,1
134,1
130,0
121,8
132,1
105,3
103,0
117,1
126,3
138,1
119,5
138,0
135,5
178,6
162,2
176,9
204,9
132,2
142,5
164,3
174,9
175,4
143,0
158,7
155,4
176,6
163,3
178,9
182,7

Tables (Output of Computation)





Summary of compuational 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 compuational 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=7828&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]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=7828&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7828&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 time1 seconds
R Server'George Udny Yule' @ 72.249.76.132






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.614650585165026
Exact Logistic (lambda=0)0.936983583146285
Approx. Normal (lambda=0.14)0.939645637042224
U-shaped (lambda=0.5)0.931178602180716
Exactly Uniform (lambda=1)0.918117701132902

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.614650585165026 \tabularnewline
Exact Logistic (lambda=0) & 0.936983583146285 \tabularnewline
Approx. Normal (lambda=0.14) & 0.939645637042224 \tabularnewline
U-shaped (lambda=0.5) & 0.931178602180716 \tabularnewline
Exactly Uniform (lambda=1) & 0.918117701132902 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7828&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]0.614650585165026[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.936983583146285[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.939645637042224[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.931178602180716[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.918117701132902[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7828&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7828&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)0.614650585165026
Exact Logistic (lambda=0)0.936983583146285
Approx. Normal (lambda=0.14)0.939645637042224
U-shaped (lambda=0.5)0.931178602180716
Exactly Uniform (lambda=1)0.918117701132902


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')