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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, 15 Dec 2015 19:16:29 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Dec/15/t1450207000ffn6l8q3xnnqjri.htm/, Retrieved Sat, 18 May 2024 05:29:08 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=286567, Retrieved Sat, 18 May 2024 05:29:08 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact68

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] [Tukey Lambda mannen] [2015-12-15 19:16:29] [9b4ece21719e6dde02765eb8dee9496c] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
171380
177473.4
165059.4
158175.7
153155.4
144994.8
106958.9
97058.6
99808.1
119600.6
149046.5
188476
178732.3
181605.1
173177.1
179099.9
179348.89339697
144680.08230441
148367.70434949
168071.0425
193012.88904801
191411.36288073
196388.75630231
191021.81435966
174411.97514088
170438.0524583
203938.35976364
216839.63785332
188331.62729734
204329.32479922
231760.56242659
241635.15924967

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'Sir Ronald Aylmer Fisher' @ fisher.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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286567&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286567&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286567&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'Sir Ronald Aylmer Fisher' @ fisher.wessa.net






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.808670268631965
Exact Logistic (lambda=0)0.982465115007489
Approx. Normal (lambda=0.14)0.980797583300597
U-shaped (lambda=0.5)0.96721442901352
Exactly Uniform (lambda=1)0.951030404044601

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.808670268631965 \tabularnewline
Exact Logistic (lambda=0) & 0.982465115007489 \tabularnewline
Approx. Normal (lambda=0.14) & 0.980797583300597 \tabularnewline
U-shaped (lambda=0.5) & 0.96721442901352 \tabularnewline
Exactly Uniform (lambda=1) & 0.951030404044601 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286567&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]0.808670268631965[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.982465115007489[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.980797583300597[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.96721442901352[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.951030404044601[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286567&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286567&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)0.808670268631965
Exact Logistic (lambda=0)0.982465115007489
Approx. Normal (lambda=0.14)0.980797583300597
U-shaped (lambda=0.5)0.96721442901352
Exactly Uniform (lambda=1)0.951030404044601


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')