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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, 12 Dec 2015 13:09:26 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Dec/12/t1449925914zmu5gas1y4zbmlt.htm/, Retrieved Thu, 16 May 2024 08:26:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=286077, Retrieved Thu, 16 May 2024 08:26:21 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsExact Logisch
Estimated Impact118

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Tukey lambda PPCC Plot] [Tukey Lambda PPPC...] [2015-12-12 13:09:26] [7f15ad2b324a02cb27046274e327e025] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
23867
24107
24041
24415
24496
24022
24367
23869
24495
23818
24081
24132
23651
23622
23726
23942
24573
23085
22612
22960
22921
23510
22729
23047
22850
23426
22812
22446
23567
23185
22777
23508
23193
23006
22332
22347
23061
22887
22890
22701
22467
22357
22443
22824
22906
23059
23055
22564
18570
20329
19279
19541
19517

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=286077&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=286077&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286077&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)0.715837140759621
Exact Logistic (lambda=0)0.901977742752499
Approx. Normal (lambda=0.14)0.895422366666174
U-shaped (lambda=0.5)0.871991698309401
Exactly Uniform (lambda=1)0.84998625093007

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.715837140759621 \tabularnewline
Exact Logistic (lambda=0) & 0.901977742752499 \tabularnewline
Approx. Normal (lambda=0.14) & 0.895422366666174 \tabularnewline
U-shaped (lambda=0.5) & 0.871991698309401 \tabularnewline
Exactly Uniform (lambda=1) & 0.84998625093007 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286077&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]0.715837140759621[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.901977742752499[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.895422366666174[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.871991698309401[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.84998625093007[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286077&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286077&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)0.715837140759621
Exact Logistic (lambda=0)0.901977742752499
Approx. Normal (lambda=0.14)0.895422366666174
U-shaped (lambda=0.5)0.871991698309401
Exactly Uniform (lambda=1)0.84998625093007


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')