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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 computationSun, 21 Dec 2008 19:42:02 -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/22/t1229913764pm9gk5i379qlgw4.htm/, Retrieved Mon, 13 May 2024 20:04:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=35932, Retrieved Mon, 13 May 2024 20:04:42 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact179

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]
-   PD  [Tukey lambda PPCC Plot] [Max. Correlatie B...] [2008-10-27 20:25:33] [504b73e6de93b01331326637b3288ad4]
-   PD      [Tukey lambda PPCC Plot] [Max. Correlatie B...] [2008-12-22 02:42:02] [ba85d9d0a82357dd3edf208eef933423] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3884,2
3868,9
2224,9
2091,1
2462,5
2671,5
3171,8
2481,5
2731,6
3247,5
4005,7
2416,4
3673,2
3952,1
3277
2447,2
3361,2
3235,2
3573,6
3466,9
3689,8
3593,5
4282,7
2429,6
3971,6
3773,8
3400,8
1589,8
2799,8
2960,2
3177,2
3437,1
3765,4
3775,6
4082,6
2345,8
4167,6
3583,1
3391,7
2473,5
2923,4
3162,8
3211,4
3493,3
3633,2
2843,9
3915,8
1968,2
3693,6
3701,3
3305,6
2335,2
2827,3
2723,7
3175,8
3449,7
3204,4
2765,6
3706
1941,8
3566,8
3477,8
2707,1
1519,3
1913,6
2475,7
2082,5
2604,7
3249,5
3342,3
3676
1769,7
3411,6
3162,1
3039,1
2264
2786,9
2997,4
3412
3019,4
2760,1
3445,2
2912,7
2445,8
3092,8
2679,9
1951,4
814,2
459
1451,3
791,6
949,3
849,8
1588,7

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35932&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35932&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35932&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 time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.618447665478835
Exact Logistic (lambda=0)0.966297879303378
Approx. Normal (lambda=0.14)0.970161249070514
U-shaped (lambda=0.5)0.963653891928257
Exactly Uniform (lambda=1)0.952108138851727

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.618447665478835 \tabularnewline
Exact Logistic (lambda=0) & 0.966297879303378 \tabularnewline
Approx. Normal (lambda=0.14) & 0.970161249070514 \tabularnewline
U-shaped (lambda=0.5) & 0.963653891928257 \tabularnewline
Exactly Uniform (lambda=1) & 0.952108138851727 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35932&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]0.618447665478835[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.966297879303378[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.970161249070514[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.963653891928257[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.952108138851727[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35932&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35932&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)0.618447665478835
Exact Logistic (lambda=0)0.966297879303378
Approx. Normal (lambda=0.14)0.970161249070514
U-shaped (lambda=0.5)0.963653891928257
Exactly Uniform (lambda=1)0.952108138851727


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')