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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, 25 Oct 2008 07:47:03 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Oct/25/t1224942486y606pj1babvn5lj.htm/, Retrieved Sat, 18 May 2024 00:09:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18733, Retrieved Sat, 18 May 2024 00:09:07 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact123

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F       [Tukey lambda PPCC Plot] [PPCC Plot - Tukey...] [2008-10-25 13:47:03] [63db34dadd44fb018112addcdefe949f] [Current]
Feedback Forum
2008-10-31 15:06:11 [Matthieu Blondeau] [reply] 
Dit is correct.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
101
104
99
105
107
111
117
119
127
128
135
132
136
143
142
153
145
138
148
152
169
169
161
174
179
191
190
182
175
181
197
194
197
216
221
218
230
227
204
197
199
208
191
202
211
224
224
231
244
235
250
266
288
283
295
312
334
348
383
407

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18733&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18733&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18733&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 time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.690657004311137
Exact Logistic (lambda=0)0.963693675127791
Approx. Normal (lambda=0.14)0.96532809111498
U-shaped (lambda=0.5)0.956028653403164
Exactly Uniform (lambda=1)0.942696119431634

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.690657004311137 \tabularnewline
Exact Logistic (lambda=0) & 0.963693675127791 \tabularnewline
Approx. Normal (lambda=0.14) & 0.96532809111498 \tabularnewline
U-shaped (lambda=0.5) & 0.956028653403164 \tabularnewline
Exactly Uniform (lambda=1) & 0.942696119431634 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18733&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]0.690657004311137[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.963693675127791[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.96532809111498[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.956028653403164[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.942696119431634[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18733&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18733&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)0.690657004311137
Exact Logistic (lambda=0)0.963693675127791
Approx. Normal (lambda=0.14)0.96532809111498
U-shaped (lambda=0.5)0.956028653403164
Exactly Uniform (lambda=1)0.942696119431634


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')