FreeStatistics.org

Free Statistics

of Irreproducible Research!

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, 13 Nov 2009 11:32:04 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Nov/13/t1258137200ixbbzc18ystva6b.htm/, Retrieved Mon, 06 May 2024 23:51:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=56976, Retrieved Mon, 06 May 2024 23:51:51 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact122

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] [3/11/2009] [2009-11-02 22:14:51] [b98453cac15ba1066b407e146608df68]
-    D    [Tukey lambda PPCC Plot] [workshop 6] [2009-11-13 18:32:04] [6c94b261890ba36343a04d1029691995] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
111.632
106.707
108.827
108.413
106.249
104.861
102.382
100.320
100.228
117.089
121.523
114.948
112.831
107.605
108.928
101.993
102.850
99.925
101.536
99.450
98.305
110.159
109.483
106.810
96.279
91.982
90.276
90.999
86.622
83.117
80.367
77.550
77.443
92.844
92.175
84.822
81.632
78.872
81.485
80.651
78.192
76.844
76.335
71.415
73.889
86.822
86.371
83.469
82.662
82.880
89.406
95.378
97.657
100.247
99.180
97.493
101.628
114.585
115.669
111.311

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' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=56976&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=56976&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=56976&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' @ 72.249.127.135






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.627833389966638
Exact Logistic (lambda=0)0.971408174297462
Approx. Normal (lambda=0.14)0.98393303340218
U-shaped (lambda=0.5)0.99513144730975
Exactly Uniform (lambda=1)0.995360237308378

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.627833389966638 \tabularnewline
Exact Logistic (lambda=0) & 0.971408174297462 \tabularnewline
Approx. Normal (lambda=0.14) & 0.98393303340218 \tabularnewline
U-shaped (lambda=0.5) & 0.99513144730975 \tabularnewline
Exactly Uniform (lambda=1) & 0.995360237308378 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=56976&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]0.627833389966638[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.971408174297462[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.98393303340218[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.99513144730975[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.995360237308378[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=56976&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=56976&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)0.627833389966638
Exact Logistic (lambda=0)0.971408174297462
Approx. Normal (lambda=0.14)0.98393303340218
U-shaped (lambda=0.5)0.99513144730975
Exactly Uniform (lambda=1)0.995360237308378


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')