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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_tukeylambda.wasp
Title produced by softwareTukey lambda PPCC Plot
Date of computationTue, 18 Dec 2007 13:11:06 -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/2007/Dec/18/t11980076373dq82yrfnsbpwdh.htm/, Retrieved Sat, 04 May 2024 17:24:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=4593, Retrieved Sat, 04 May 2024 17:24:48 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsPPPCCPRR
Estimated Impact178

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] [Paper - PPCC-plot...] [2007-12-18 20:11:06] [e51d7ab0e549b3dc96ac85a81d9bd259] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1.74138367229942
-2.88580372001652
-3.00801521083293
5.35873352650856
-0.350197418097050
-4.44477983570422
-14.1704246279256
5.06291770302617
8.16317098727172
-6.63032011800066
-0.955084752066612
4.76580237731785
4.64634662056524
-3.37632197945722
-3.48596660066835
0.00318885841739619
-2.30873579009489
4.510676743397
3.86380235714235
-4.84743390386536
1.19326683102373
9.49359417425812
-5.7256091522179
-6.7409221436693
-8.37465970382766
2.41947579953488
2.51107146040831
2.31318281556092
-3.02118693681124
3.49111382410466
-5.27208657466297
-1.65652539783093
1.158900365591
3.29699796504326
5.45943755223924
-3.39089745529757
-3.24888068501405
-3.76725354399628
-1.01610429731824
-0.141686930225946
-2.40143497370904
3.01483128334767
-2.37153731174333
1.90350531137286
-3.75249259201867
-1.15949421149824
1.41625767699710
0.756276066572336
1.74232125798030
-2.82713799160403
2.91169906841461
-7.53666538846806
8.89398251304836
-1.48741996092416
3.26139630257603
-3.15021888842772
3.8905793816289
7.41906373843078
7.78286136215999
-3.77518512848798
0.0882557144562938
1.75385231671455
1.56061031268522
-1.4983198165646
4.36211820238709
2.31013654316626
-2.33448411305145
-1.40752353154939

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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 & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4593&T=0

[TABLE]
[ROW][C]Summary of compuational 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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4593&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4593&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.725628243020318
Exact Logistic (lambda=0)0.990428467278924
Approx. Normal (lambda=0.14)0.990912480279355
U-shaped (lambda=0.5)0.980699445928572
Exactly Uniform (lambda=1)0.968289100350285

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.725628243020318 \tabularnewline
Exact Logistic (lambda=0) & 0.990428467278924 \tabularnewline
Approx. Normal (lambda=0.14) & 0.990912480279355 \tabularnewline
U-shaped (lambda=0.5) & 0.980699445928572 \tabularnewline
Exactly Uniform (lambda=1) & 0.968289100350285 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4593&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]0.725628243020318[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.990428467278924[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.990912480279355[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.980699445928572[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.968289100350285[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4593&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4593&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)0.725628243020318
Exact Logistic (lambda=0)0.990428467278924
Approx. Normal (lambda=0.14)0.990912480279355
U-shaped (lambda=0.5)0.980699445928572
Exactly Uniform (lambda=1)0.968289100350285


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')