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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, 04 Dec 2008 17:46:12 -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/2008/Dec/05/t1228438176ynn6fv1ol10tk9k.htm/, Retrieved Thu, 16 May 2024 22:03:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=29063, Retrieved Thu, 16 May 2024 22:03:07 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact238

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...] [2007-10-21 16:01:20] [b9964c45117f7aac638ab9056d451faa]
F    D  [Tukey lambda PPCC Plot] [Reproduction Q1 T...] [2008-10-26 14:28:27] [aa5573c1db401b164e448aef050955a1]
-    D    [Tukey lambda PPCC Plot] [Tukey Lambda Bouw...] [2008-12-05 00:16:48] [aa5573c1db401b164e448aef050955a1]
-    D      [Tukey lambda PPCC Plot] [Tukey Lambda Tota...] [2008-12-05 00:27:04] [aa5573c1db401b164e448aef050955a1]
-    D        [Tukey lambda PPCC Plot] [Tukey Lambda Inve...] [2008-12-05 00:35:04] [aa5573c1db401b164e448aef050955a1]
-    D            [Tukey lambda PPCC Plot] [Tukey Lambda Omzet] [2008-12-05 00:46:12] [8a1195ff8db4df756ce44b463a631c76] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
89.3
87.5
106.7
102.5
109.2
123.7
83.1
97
119.1
125.1
113.6
122.4
92.8
97.2
115.6
111.3
114.6
137.5
83.7
106
123.4
126.5
120
141.6
90.5
96.5
113.5
120.1
123.9
144.4
90.8
114.2
138.1
135
131.3
144.6
101.7
108.7
135.3
124.3
138.3
158.2
93.5
124.8
154.4
152.8
148.9
170.3
124.8
134.4
154
147.9
168.1
175.7
116.7
140.8
164.2
173.8
167.8
166.6
135.1
158.1
151.8
168.7
166.9

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29063&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]0 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=29063&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29063&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 time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.604643229767469
Exact Logistic (lambda=0)0.973834460929166
Approx. Normal (lambda=0.14)0.986503686728091
U-shaped (lambda=0.5)0.996397276739102
Exactly Uniform (lambda=1)0.994544192366904

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.604643229767469 \tabularnewline
Exact Logistic (lambda=0) & 0.973834460929166 \tabularnewline
Approx. Normal (lambda=0.14) & 0.986503686728091 \tabularnewline
U-shaped (lambda=0.5) & 0.996397276739102 \tabularnewline
Exactly Uniform (lambda=1) & 0.994544192366904 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29063&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]0.604643229767469[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.973834460929166[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.986503686728091[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.996397276739102[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.994544192366904[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=29063&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29063&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)0.604643229767469
Exact Logistic (lambda=0)0.973834460929166
Approx. Normal (lambda=0.14)0.986503686728091
U-shaped (lambda=0.5)0.996397276739102
Exactly Uniform (lambda=1)0.994544192366904


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')