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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, 13 Dec 2016 11:56:09 +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/2016/Dec/13/t1481626604o25smmqdn176pga.htm/, Retrieved Sun, 05 May 2024 06:39:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299048, Retrieved Sun, 05 May 2024 06:39:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact105

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 Resi...] [2016-12-13 10:56:09] [2e11ca31a00cf8de75c33c1af2d59434] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
-0,07114
0,9168
1.316
0,2179
0,3155
0,8239
2.218
0,8239
0,2059
0,2059
1.316
-0,2905
0,7095
-0,0664
0,3155
1.824
0,8239
-1.909
1.316
1.218
-0,6845
0,3155
-0,6845
1.316
-0,1761
1.218
-0,6845
1.332
-0,1928
-1.575
-1.794
0,8072
0,4252
-0,558
0,2059
-0,1761
-0,1808
-0,5748
2.316
-1.193
0,2059
-1.066
-0,9085
-0,7989
-0,2905
0,3155
-0,8918
-2.684
0,2059
-0,3025
-0,3025
-3.575
-0,1808
-2.684
0,2179
1.824
0,7095
-0,6845
-0,3025
1.332
0,3155
0,8239
-0,6845
-1.465
1,71
-1,29
-1.799
1.218
0,2179
-2.188
-2.684
-2.684
0,9216
-0,1761
0,3155
-0,7821
0,9336
2.425
0,3155
-2.066
0,3155
1.316
1.316
3.807
0,4132
2.316
-0,1761
1.824
0,9289
-0,6845
1.316
0,3155
0,2059
0,2179
0,3155
1.807
1.413
-0,7941
1.917
-0,6845
-3.193
0,2179
0,4132
0,7095
0,7095
-0,6845
0,3155
0,8239
-2.684
-0,2905
-1.672
3,71
0,8239
0,3155
0,4132
-0,1928
-1.684
-0,2905
-0,7821
0,3155
-0,6845
0,2059
-0,1761
0,7095
0,3155
0,2179
-0,2905
-1.169
0,7095
2.201
-1.274
-3.066
0,7095
0,6975
-1.794
1.304
0,2059
-2,29
-1.176
0,3155
-2.684
1.316
-1.684
3.201
-0,5748
0,3155
-1.672
-0,7941
0,7095
-0,6845
-2.782
-0,6845
0,8072
-2.684
1.442
2.316
0,8192
2.316
-2.188
-1.193
0,2011
-1.066
0,3155
-2.684
2.048

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=299048&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=299048&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299048&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)0.57605325589126
Exact Logistic (lambda=0)0.989604307974901
Approx. Normal (lambda=0.14)0.990963041343001
U-shaped (lambda=0.5)0.978382709799165
Exactly Uniform (lambda=1)0.962748615137554

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.57605325589126 \tabularnewline
Exact Logistic (lambda=0) & 0.989604307974901 \tabularnewline
Approx. Normal (lambda=0.14) & 0.990963041343001 \tabularnewline
U-shaped (lambda=0.5) & 0.978382709799165 \tabularnewline
Exactly Uniform (lambda=1) & 0.962748615137554 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299048&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]0.57605325589126[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.989604307974901[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.990963041343001[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.978382709799165[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.962748615137554[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299048&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299048&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)0.57605325589126
Exact Logistic (lambda=0)0.989604307974901
Approx. Normal (lambda=0.14)0.990963041343001
U-shaped (lambda=0.5)0.978382709799165
Exactly Uniform (lambda=1)0.962748615137554


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')