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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, 05 Dec 2017 09:58:24 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Dec/05/t15124655336vrryjr20v6gh6j.htm/, Retrieved Tue, 14 May 2024 17:40:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=308528, Retrieved Tue, 14 May 2024 17:40:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact124

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: Dat...] [2017-12-05 08:58:24] [b9ba5da1e46a180616c603fd7f584a37] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
810830
851589
415661
6219123
1109550
943819
255394
4098056
1792090
244302
3293270
1360836
818743
499739
744939
777123
390606
1409150
1890183
2874818
1574056
517780
1437800
220401
315913
531884
361638
2073934
452037
4356269
2116338
141113
2673958
482533
768122
3189240
279751
842441
170726
1093303
3520204
275471
201999
1791503
1078760
300438
1623117
80496

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308528&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=308528&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308528&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.715617325836435
Exact Logistic (lambda=0)0.899357467413502
Approx. Normal (lambda=0.14)0.897270458603922
U-shaped (lambda=0.5)0.883847520290699
Exactly Uniform (lambda=1)0.869464499298915

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.715617325836435 \tabularnewline
Exact Logistic (lambda=0) & 0.899357467413502 \tabularnewline
Approx. Normal (lambda=0.14) & 0.897270458603922 \tabularnewline
U-shaped (lambda=0.5) & 0.883847520290699 \tabularnewline
Exactly Uniform (lambda=1) & 0.869464499298915 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308528&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]0.715617325836435[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.899357467413502[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.897270458603922[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.883847520290699[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.869464499298915[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308528&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308528&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)0.715617325836435
Exact Logistic (lambda=0)0.899357467413502
Approx. Normal (lambda=0.14)0.897270458603922
U-shaped (lambda=0.5)0.883847520290699
Exactly Uniform (lambda=1)0.869464499298915


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')