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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 computationFri, 12 Dec 2014 11:40:41 +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/2014/Dec/12/t14183844565oynigihl08puf4.htm/, Retrieved Thu, 16 May 2024 07:10:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266539, Retrieved Thu, 16 May 2024 07:10:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact81

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] [Paper] [2014-12-12 11:40:41] [8c0dfc7b9b8e9dc8ad6d66876f6d8b28] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
-2,60015
1,12093
-2,37554
-5,45167
-6,47391
-1,65452
0,663616
0,700361
-1,90981
-6,13262
-2,40296
-6,18589
-0,649206
-3,19162
-3,33772
-2,26146
-4,15613
-2,01792
-7,11298
0,57702
-5,48988
1,26661
-0,988795
-3,58952
-2,94593
-2,92695
-4,7879
-3,45309
-3,63031
-4,32759
-1,57391
-0,0948216
-1,22486
-4,15796
-1,31363
-7,13796
-1,33366
-0,329702
-3,288
-1,6184
-0,74414
2,34255
-2,87782
0,0880252
-1,99214
1,81324
-4,27807
-1,11386
-4,35393
0,745298
-5,45543
-3,2933
-1,30645
0,909256
-4,00527
-2,26878
1,01727
1,01727
-0,906051
-4,61837
-6,93759
0,290188
4,36591
4,34892
2,2338
4,43427
2,68348
1,25622
4,2952
4,41708
-1,116
-0,0694149
2,70901
0,599679
1,16973
1,16447
1,60205
3,51239
3,41985
-0,0341832
1,39685
4,01716
-2,67552
4,50409
3,00352
3,82077
3,53234
5,04381
1,74739
2,48142
1,45126
0,718283
0,881149
3,95342
-3,63653
3,5812
4,41519
0,868662
4,90123
2,19783
1,91871
6,05855
1,39099
1,46501
-0,01802
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0,687756
0,892376
0,29607
1,50617
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1,66369
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2,51003
0,510272
3,87668
4,32521
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4,29709
2,84255
5,44574
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5,29983
5,16355
-0,856064
-2,64571
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1,81567
-0,328607
0,11671
1,45816
1,0382
2,87943
1,21152
-1,0192
-0,482082
-0,691428
-4,57196
-0,0830399

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'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266539&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266539&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266539&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'Gwilym Jenkins' @ jenkins.wessa.net






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.519680955292455
Exact Logistic (lambda=0)0.980202203913751
Approx. Normal (lambda=0.14)0.990949260606422
U-shaped (lambda=0.5)0.994568537859224
Exactly Uniform (lambda=1)0.988271400855807

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.519680955292455 \tabularnewline
Exact Logistic (lambda=0) & 0.980202203913751 \tabularnewline
Approx. Normal (lambda=0.14) & 0.990949260606422 \tabularnewline
U-shaped (lambda=0.5) & 0.994568537859224 \tabularnewline
Exactly Uniform (lambda=1) & 0.988271400855807 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266539&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]0.519680955292455[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.980202203913751[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.990949260606422[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.994568537859224[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.988271400855807[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266539&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266539&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)0.519680955292455
Exact Logistic (lambda=0)0.980202203913751
Approx. Normal (lambda=0.14)0.990949260606422
U-shaped (lambda=0.5)0.994568537859224
Exactly Uniform (lambda=1)0.988271400855807


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')