## Free Statistics

of Irreproducible Research!

Author's title
Author*Unverified author*
R Software Modulerwasp_tukeylambda.wasp
Title produced by softwareTukey lambda PPCC Plot
Date of computationTue, 25 Feb 2020 17:40:47 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2020/Feb/25/t1582649043hwo1awrtm3z3bpd.htm/, Retrieved Wed, 21 Apr 2021 07:05:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=319084, Retrieved Wed, 21 Apr 2021 07:05:36 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact37
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Tukey lambda PPCC Plot] [Conc measurement ...] [2020-02-25 16:40:47] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
47.2
58.7
56.36
50.23
50.44
62.87
56.91
55.03
55.33
52.24
52.5
53.43
61.44
54.88
55.93
58.12
56.13
56.48
58.27
51.99
45.37
51.73
48.84
50.35
53.43
46.68
48.32


 Summary of computational transaction Raw Input view raw input (R code) Raw Output view raw output of R engine Computing time 0 seconds R Server Big Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time0 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319084&T=0

[TABLE]
[ROW]
 Summary of computational transaction[/C][/ROW] [ROW] Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW] Raw Output[/C] view raw output of R engine [/C][/ROW] [ROW] Computing time[/C] 0 seconds[/C][/ROW] [ROW] R Server[/C] Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=319084&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319084&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

 Summary of computational transaction Raw Input view raw input (R code) Raw Output view raw output of R engine Computing time 0 seconds R Server Big Analytics Cloud Computing Center

 Tukey Lambda - Key Values Distribution (lambda) Correlation Approx. Cauchy (lambda=-1) 0.804168872251158 Exact Logistic (lambda=0) 0.990683315419057 Approx. Normal (lambda=0.14) 0.994411253312627 U-shaped (lambda=0.5) 0.992516715805492 Exactly Uniform (lambda=1) 0.985068922523435

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.804168872251158 \tabularnewline
Exact Logistic (lambda=0) & 0.990683315419057 \tabularnewline
Approx. Normal (lambda=0.14) & 0.994411253312627 \tabularnewline
U-shaped (lambda=0.5) & 0.992516715805492 \tabularnewline
Exactly Uniform (lambda=1) & 0.985068922523435 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319084&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]0.804168872251158[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.990683315419057[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.994411253312627[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.992516715805492[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.985068922523435[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=319084&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319084&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

 Tukey Lambda - Key Values Distribution (lambda) Correlation Approx. Cauchy (lambda=-1) 0.804168872251158 Exact Logistic (lambda=0) 0.990683315419057 Approx. Normal (lambda=0.14) 0.994411253312627 U-shaped (lambda=0.5) 0.992516715805492 Exactly Uniform (lambda=1) 0.985068922523435

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')