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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 computationSat, 12 Dec 2015 13:35:50 +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/12/t1449927650qkfijzpa02hx6sb.htm/, Retrieved Thu, 16 May 2024 06:48:38 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=286083, Retrieved Thu, 16 May 2024 06:48:38 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact103

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 PPCC...] [2015-12-12 13:35:50] [7f15ad2b324a02cb27046274e327e025] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
8945
7764
8704
7546
7694
10499
7614
8248
8158
8174
8097
9154
10287
7972
7518
9492
8317
8158
9174
8262
10533
10434
8047
7831
8062
8834
8957
8753
7663
8290
8435
10802
9391
10280
8461
9152
8380
8171
8386
8212
9103
8461
8443
9253
8220
10435
8627
8196
9431
7917
8186

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 0 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286083&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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286083&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286083&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 time0 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.652912247560272
Exact Logistic (lambda=0)0.939659494393209
Approx. Normal (lambda=0.14)0.945852472594132
U-shaped (lambda=0.5)0.944971738183482
Exactly Uniform (lambda=1)0.93642120780239

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.652912247560272 \tabularnewline
Exact Logistic (lambda=0) & 0.939659494393209 \tabularnewline
Approx. Normal (lambda=0.14) & 0.945852472594132 \tabularnewline
U-shaped (lambda=0.5) & 0.944971738183482 \tabularnewline
Exactly Uniform (lambda=1) & 0.93642120780239 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286083&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]0.652912247560272[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.939659494393209[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.945852472594132[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.944971738183482[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.93642120780239[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286083&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286083&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)0.652912247560272
Exact Logistic (lambda=0)0.939659494393209
Approx. Normal (lambda=0.14)0.945852472594132
U-shaped (lambda=0.5)0.944971738183482
Exactly Uniform (lambda=1)0.93642120780239


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')