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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 computationThu, 23 Oct 2008 06:28:47 -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/23/t1224764983k8codq9h52s2752.htm/, Retrieved Sun, 19 May 2024 00:06:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18488, Retrieved Sun, 19 May 2024 00:06:00 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact198

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] [Investigating dis...] [2007-10-22 19:59:15] [b9964c45117f7aac638ab9056d451faa]
-    D    [Tukey lambda PPCC Plot] [Q8:Tukey Lambda] [2008-10-23 12:28:47] [8758b22b4a10c08c31202f233362e983] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
110,089
99,966
94,195
119,588
125,946
118,906
108,717
118,357
115,422
130,937
111,802
120,357
121,12
108,752
98,973
116,721
123,857
114,056
98,309
110,251
108,538
122,526
118,394
116,691
116,014
111,784
95,164
121,028
129,89
116,102
102,055
113,562
113,071
126,486
119,472
117,141
121,925
112,688
90,974
126,398
130,401
116,873
111,917
113,919
117,931
139,332
127,781
118,103
136,984
119,566
107,238
139,389
139,798
138,074
129,739
125,098
129,341
149,083
137,721
130,126
140,499
118,165
115,932
144,662
136,159
147,339
138,807
135,275
135,84
161,702
132,606
147,419
154,865
131,545
126,212
150,316
154,524
154,28
131,059
147,168
141,8
162,022
143,924
151,406
159,601
143,513
132,302
152,021
171,573
161,591
134,057
172,247
173,384
173,706
188,178
165,932
179,795

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=18488&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=18488&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18488&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)0.625925703219892
Exact Logistic (lambda=0)0.980204800519818
Approx. Normal (lambda=0.14)0.984098729746022
U-shaped (lambda=0.5)0.977535965184199
Exactly Uniform (lambda=1)0.965969467902093

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.625925703219892 \tabularnewline
Exact Logistic (lambda=0) & 0.980204800519818 \tabularnewline
Approx. Normal (lambda=0.14) & 0.984098729746022 \tabularnewline
U-shaped (lambda=0.5) & 0.977535965184199 \tabularnewline
Exactly Uniform (lambda=1) & 0.965969467902093 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18488&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]0.625925703219892[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.980204800519818[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.984098729746022[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.977535965184199[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.965969467902093[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18488&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18488&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)0.625925703219892
Exact Logistic (lambda=0)0.980204800519818
Approx. Normal (lambda=0.14)0.984098729746022
U-shaped (lambda=0.5)0.977535965184199
Exactly Uniform (lambda=1)0.965969467902093


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')