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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_tukeylambda.wasp

Title produced by software

Tukey lambda PPCC Plot

Date of computation

Thu, 08 Dec 2016 07:24:30 +0100

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/08/t1481178569ezwosj3k5deyt9w.htm/, Retrieved Fri, 01 Nov 2024 03:31:48 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298318, Retrieved Fri, 01 Nov 2024 03:31:48 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

124

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Tukey lambda PPCC Plot] [] [2016-12-08 06:24:30] [219800a2f11ddd28e3280d87dbde8c8d] [Current]

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Dataseries X:

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Histogram

Boxplots

-1.546
1.96
0.9041
0.5292
-1.222
3.157
-0.248
2.354
-1.646
-0.7949
2.231
4.328
0.2355
-1.345
-2.769
-0.3448
-0.769
-1.516
1.555
2.157
-0.09593
-2.092
1.105
0.8303
4.004
-0.3925
2.354
3.354
1.73
-1.092
-1.594
-0.8426
1.105
-0.3448
-1.646
0.9041
3.458
2.904
-3.222
0.3308
1.655
1.406
-0.8947
0.2829
2.581
0.5057
-3.895
-0.09593
-3.17
0.3541
1.454
1.205
0.2049
-0.04375
-1.743
-2.39
0.9821
-2.345
4.454
-2.821
-3.646
1.335
-1.921
4.056
1.231
-0.6953
0.8042
2.904
-0.7951
-2.843
0.3541
0.9344
-3.594
1.058
1.354
3.354
-1.345
-1.594
-1.791
3.458
-2.642
1.804
1.157
0.9083
-1.345
3.209
0.3541
-4.646
1.458
1.361
3.354
-0.1958
-1.542
-0.3448
1.105
1.904
-2.717
-0.672
-3.546
1.254
-2.345
1.157
0.3541
0.1351
2.804
-0.6459
-1.869
-0.9208
1.354
2.608
0.9041
0.9041
0.532
0.7069
-1.222
0.3541
1.904
0.7074
2.908
-2.267
-1.642
-0.672
1.209
-1.044
0.3065
3.209
2.354
-3.642
1.004
-1.096
0.1572
1.28
-0.3925
1.707
-0.7949
-0.5417
-1.345
2.878
0.9041
0.454
-4.241
2.956
0.6592
-0.546
1.856
1.157
0.454
-0.3448
0.07916
-2.121

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	Big 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=298318&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=298318&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298318&T=0

As an alternative you can also use a 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 Output	view raw output of R engine
Computing time	1 seconds
R Server	Big Analytics Cloud Computing Center

Tukey Lambda - Key Values
Distribution (lambda)	Correlation
Approx. Cauchy (lambda=-1)	0.548256499807992
Exact Logistic (lambda=0)	0.98944291231349
Approx. Normal (lambda=0.14)	0.996329304882682
U-shaped (lambda=0.5)	0.993338025301307
Exactly Uniform (lambda=1)	0.983346394174048

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.548256499807992 \tabularnewline
Exact Logistic (lambda=0) & 0.98944291231349 \tabularnewline
Approx. Normal (lambda=0.14) & 0.996329304882682 \tabularnewline
U-shaped (lambda=0.5) & 0.993338025301307 \tabularnewline
Exactly Uniform (lambda=1) & 0.983346394174048 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298318&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]0.548256499807992[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.98944291231349[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.996329304882682[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.993338025301307[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.983346394174048[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298318&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298318&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Tukey Lambda - Key Values
Distribution (lambda)	Correlation
Approx. Cauchy (lambda=-1)	0.548256499807992
Exact Logistic (lambda=0)	0.98944291231349
Approx. Normal (lambda=0.14)	0.996329304882682
U-shaped (lambda=0.5)	0.993338025301307
Exactly Uniform (lambda=1)	0.983346394174048

Figure 1

PNG link

Postscript link

PDF link

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code