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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 computationWed, 30 Nov 2011 09:48:25 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Nov/30/t1322664522ytxlnv4eax5q2vj.htm/, Retrieved Fri, 26 Apr 2024 12:34:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=149005, Retrieved Fri, 26 Apr 2024 12:34:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact100

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Kernel Density Estimation] [] [2011-11-30 14:45:46] [f98f9dc58dd24d7896d4ecb781e1c75c]
- RMP     [Tukey lambda PPCC Plot] [] [2011-11-30 14:48:25] [4cf172296f32adf71d8383c359dbb80f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
113
119
133
130
122
136
149
149
137
120
105
119
116
127
142
136
126
150
171
171
159
134
115
141
146
151
179
164
173
179
200
200
185
163
147
167
172
181
194
182
184
219
231
243
210
192
173
195
197
197
237
236
230
244
265
273
238
212
181
202
205
189
236
228
235
265
303
294
260
230
204
230
243
234
268
270
271
316
365
348
313
275
238
279
285
278
318
314
319
375
414
406
356
307
272
307
316
302
357
349
356
423
466
468
405
348
306
337
341
319
363
349
364
436
492
506
405
360
311
338
361
343
407
397
421
473
549
560
464
408
363
406
418
392
420
462
473
536
623
607
509
462
391
433

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'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 & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=149005&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=149005&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=149005&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'Gertrude Mary Cox' @ cox.wessa.net






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.520625032631177
Exact Logistic (lambda=0)0.965860209642907
Approx. Normal (lambda=0.14)0.976750382265273
U-shaped (lambda=0.5)0.981936573585529
Exactly Uniform (lambda=1)0.977740434388948

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.520625032631177 \tabularnewline
Exact Logistic (lambda=0) & 0.965860209642907 \tabularnewline
Approx. Normal (lambda=0.14) & 0.976750382265273 \tabularnewline
U-shaped (lambda=0.5) & 0.981936573585529 \tabularnewline
Exactly Uniform (lambda=1) & 0.977740434388948 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=149005&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]0.520625032631177[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.965860209642907[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.976750382265273[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.981936573585529[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.977740434388948[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=149005&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=149005&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)0.520625032631177
Exact Logistic (lambda=0)0.965860209642907
Approx. Normal (lambda=0.14)0.976750382265273
U-shaped (lambda=0.5)0.981936573585529
Exactly Uniform (lambda=1)0.977740434388948


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')