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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 computationFri, 12 Dec 2008 01:45:26 -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/12/t1229071648cumnii1jhuwxykk.htm/, Retrieved Fri, 17 May 2024 05:13:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=32488, Retrieved Fri, 17 May 2024 05:13:51 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact263

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Data Series] [Airline data] [2007-10-18 09:58:47] [42daae401fd3def69a25014f2252b4c2]
- R PD  [Univariate Data Series] [Tijdreeks 2 Buite...] [2008-12-11 16:25:30] [2d4aec5ed1856c4828162be37be304d9]
- RMP     [Central Tendency] [Central tendency ...] [2008-12-11 17:41:16] [2d4aec5ed1856c4828162be37be304d9]
- RMP       [Blocked Bootstrap Plot - Central Tendency] [Blocked Bootstrap...] [2008-12-12 08:14:08] [2d4aec5ed1856c4828162be37be304d9]
- RMP           [Tukey lambda PPCC Plot] [Tukey Lambda PPCC...] [2008-12-12 08:45:26] [d7f41258beeebb8716e3f5d39f3cdc01] [Current]
- RMP             [Univariate Explorative Data Analysis] [Lag plot + ACF Ti...] [2008-12-12 08:54:04] [2d4aec5ed1856c4828162be37be304d9]
- RMP               [Variance Reduction Matrix] [VRM tijdreeks 2] [2008-12-12 10:58:24] [2d4aec5ed1856c4828162be37be304d9]
- RMP                 [Spectral Analysis] [Spectrum tijdreeks 2] [2008-12-12 11:59:54] [2d4aec5ed1856c4828162be37be304d9]
- RMP                 [(Partial) Autocorrelation Function] [P(ACF) Tijdreeks ...] [2008-12-12 12:11:12] [2d4aec5ed1856c4828162be37be304d9]
- RMP                 [(Partial) Autocorrelation Function] [P(ACF) Tijdreeks ...] [2008-12-12 12:17:09] [2d4aec5ed1856c4828162be37be304d9]
- RMP                   [ARIMA Backward Selection] [ARIMA Backward Se...] [2008-12-12 12:29:19] [2d4aec5ed1856c4828162be37be304d9]
- RMPD                    [Bivariate Kernel Density Estimation] [Bivariate Kernel ...] [2008-12-22 09:26:11] [2d4aec5ed1856c4828162be37be304d9]
- RMPD                      [Kendall tau Correlation Matrix] [Kendall Tau Corre...] [2008-12-22 09:35:25] [2d4aec5ed1856c4828162be37be304d9]
- RM D                        [Pearson Correlation] [Pearson correlati...] [2008-12-22 09:46:51] [2d4aec5ed1856c4828162be37be304d9]
- RMP                           [Cross Correlation Function] [Cross Correlation...] [2008-12-22 10:31:31] [2d4aec5ed1856c4828162be37be304d9]
-   P                             [Cross Correlation Function] [Cross Correlation...] [2008-12-22 11:21:14] [2d4aec5ed1856c4828162be37be304d9]
- RMP                     [ARIMA Forecasting] [Arima forecast (p...] [2008-12-22 15:10:16] [2d4aec5ed1856c4828162be37be304d9]
-    D                [Variance Reduction Matrix] [VRM Xt] [2008-12-22 11:17:14] [2d4aec5ed1856c4828162be37be304d9]
- RMP             [Standard Deviation-Mean Plot] [SD Mean Plot Tijd...] [2008-12-12 09:35:09] [2d4aec5ed1856c4828162be37be304d9]
- RMP               [Box-Cox Normality Plot] [Box-Cox Normality...] [2008-12-12 09:46:16] [2d4aec5ed1856c4828162be37be304d9]
- RMP                 [Mean Plot] [Mean plot Yt] [2008-12-22 13:33:34] [2d4aec5ed1856c4828162be37be304d9]
- RMP               [Maximum-likelihood Fitting - Normal Distribution] [ML Fitting - Norm...] [2008-12-12 10:38:01] [2d4aec5ed1856c4828162be37be304d9]
-    D              [Standard Deviation-Mean Plot] [SD Mean Plot Xt] [2008-12-22 11:11:05] [2d4aec5ed1856c4828162be37be304d9]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2220.6
2161.5
1863.6
1955.1
1907.4
1889.4
2246.3
2213
1965
2285.6
1983.8
1872.4
2371.4
2287
2198.2
2330.4
2014.4
2066.1
2355.8
2232.5
2091.7
2376.5
1931.9
2025.7
2404.9
2316.1
2368.1
2282.5
2158.6
2174.8
2594.1
2281.4
2547.9
2606.3
2190.8
2262.3
2423.8
2520.4
2482.9
2215.9
2441.9
2333.8
2670.2
2431
2559.3
2661.4
2404.6
2378.3
2489.2
2941
2700.9
2335.6
2770
2764.2
2784.9
2898.8
2853.4
3022.6
2851.4
2630.8

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'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32488&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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32488&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32488&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'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.657078114780038
Exact Logistic (lambda=0)0.982557223713297
Approx. Normal (lambda=0.14)0.990021303112877
U-shaped (lambda=0.5)0.990486969467697
Exactly Uniform (lambda=1)0.982504204704945

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.657078114780038 \tabularnewline
Exact Logistic (lambda=0) & 0.982557223713297 \tabularnewline
Approx. Normal (lambda=0.14) & 0.990021303112877 \tabularnewline
U-shaped (lambda=0.5) & 0.990486969467697 \tabularnewline
Exactly Uniform (lambda=1) & 0.982504204704945 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32488&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]0.657078114780038[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.982557223713297[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.990021303112877[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.990486969467697[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.982504204704945[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32488&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32488&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)0.657078114780038
Exact Logistic (lambda=0)0.982557223713297
Approx. Normal (lambda=0.14)0.990021303112877
U-shaped (lambda=0.5)0.990486969467697
Exactly Uniform (lambda=1)0.982504204704945


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')