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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 19:17:31 +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/t1450207062cjoy3l77dxrfjn9.htm/, Retrieved Fri, 20 Sep 2024 23:57:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=286569, Retrieved Fri, 20 Sep 2024 23:57:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact72

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 vrouwen] [2015-12-15 19:17:31] [9b4ece21719e6dde02765eb8dee9496c] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
217829
240241.7
239051.7
246464.5
228891.1
197867.6
162481.3
148509.1
145747.7
159647.4
185979
216834.9
210560
222582
201903.3
204623.8
195642.43812383
163769.45144036
138633.38717802
163999.575
171293.7542423
188909.78914584
194603.50086402
192177.71723536
178592.93454859
163221.72832722
175648.43522185
189041.70871173
158366.10619425
164943.77237346
185048.7637639
181858.23081587

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'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286569&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286569&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286569&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'George Udny Yule' @ yule.wessa.net






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.748282984202488
Exact Logistic (lambda=0)0.98136016868324
Approx. Normal (lambda=0.14)0.988162487817499
U-shaped (lambda=0.5)0.990965183718774
Exactly Uniform (lambda=1)0.986025542017153

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.748282984202488 \tabularnewline
Exact Logistic (lambda=0) & 0.98136016868324 \tabularnewline
Approx. Normal (lambda=0.14) & 0.988162487817499 \tabularnewline
U-shaped (lambda=0.5) & 0.990965183718774 \tabularnewline
Exactly Uniform (lambda=1) & 0.986025542017153 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286569&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]0.748282984202488[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.98136016868324[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.988162487817499[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.990965183718774[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.986025542017153[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286569&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286569&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)0.748282984202488
Exact Logistic (lambda=0)0.98136016868324
Approx. Normal (lambda=0.14)0.988162487817499
U-shaped (lambda=0.5)0.990965183718774
Exactly Uniform (lambda=1)0.986025542017153


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')