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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 08:02:48 -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/t1229094213lq96o6jxh6c8po8.htm/, Retrieved Fri, 17 May 2024 13:51:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=32829, Retrieved Fri, 17 May 2024 13:51:47 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact202

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Central Tendency] [Central Tendency:...] [2008-12-12 13:08:46] [6816386b1f3c2f6c0c9f2aa1e5bc9362]
- RMPD  [Mean Plot] [Mean plot - prijs...] [2008-12-12 14:56:05] [6816386b1f3c2f6c0c9f2aa1e5bc9362]
- RMPD      [Tukey lambda PPCC Plot] [PPCC: Bel 20] [2008-12-12 15:02:48] [14a75ec03b2c0d8ddd8b141a7b1594fd] [Current]
-    D        [Tukey lambda PPCC Plot] [PPCC: Dow Jones] [2008-12-12 15:15:38] [6816386b1f3c2f6c0c9f2aa1e5bc9362]
- RMPD        [Variance Reduction Matrix] [VRM Matrix: Dow J...] [2008-12-13 14:12:15] [6816386b1f3c2f6c0c9f2aa1e5bc9362]
- RMPD        [Variance Reduction Matrix] [VRM Matrix: Prijs...] [2008-12-13 14:17:40] [6816386b1f3c2f6c0c9f2aa1e5bc9362]
- RMP         [Variance Reduction Matrix] [VRM Matrix: Bel 20] [2008-12-13 14:24:44] [7670c7b8188a1e79d237811892660e29]
- RMP         [ARIMA Backward Selection] [Arima: Bel 20] [2008-12-14 20:11:31] [6816386b1f3c2f6c0c9f2aa1e5bc9362]
-    D          [ARIMA Backward Selection] [Arima: Dow Jones] [2008-12-14 20:18:50] [6816386b1f3c2f6c0c9f2aa1e5bc9362]
- RMPD            [Central Tendency] [Central tendency ...] [2008-12-14 21:13:09] [6816386b1f3c2f6c0c9f2aa1e5bc9362]
-   PD            [ARIMA Backward Selection] [Backward selectio...] [2008-12-17 20:48:25] [6816386b1f3c2f6c0c9f2aa1e5bc9362]
- RMPD          [Central Tendency] [Central tendency ...] [2008-12-14 21:08:44] [6816386b1f3c2f6c0c9f2aa1e5bc9362]
F RMPD          [ARIMA Forecasting] [Arima forecasting...] [2008-12-14 22:14:13] [6816386b1f3c2f6c0c9f2aa1e5bc9362]
-   PD            [ARIMA Forecasting] [Arima forecasting...] [2008-12-14 22:31:41] [6816386b1f3c2f6c0c9f2aa1e5bc9362]
-                   [ARIMA Forecasting] [arima forecast do...] [2008-12-15 23:20:43] [73d6180dc45497329efd1b6934a84aba]
-   PD              [ARIMA Forecasting] [Arima forecasting...] [2008-12-19 23:09:36] [6816386b1f3c2f6c0c9f2aa1e5bc9362]
F                 [ARIMA Forecasting] [arima forecasting...] [2008-12-15 23:16:18] [73d6180dc45497329efd1b6934a84aba]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3032,93
3045,78
3110,52
3013,24
2987,1
2995,55
2833,18
2848,96
2794,83
2845,26
2915,02
2892,63
2604,42
2641,65
2659,81
2638,53
2720,25
2745,88
2735,7
2811,7
2799,43
2555,28
2304,98
2214,95
2065,81
1940,49
2042
1995,37
1946,81
1765,9
1635,25
1833,42
1910,43
1959,67
1969,6
2061,41
2093,48
2120,88
2174,56
2196,72
2350,44
2440,25
2408,64
2472,81
2407,6
2454,62
2448,05
2497,84
2645,64
2756,76
2849,27
2921,44
2981,85
3080,58
3106,22
3119,31
3061,26
3097,31
3161,69
3257,16
3277,01
3295,32
3363,99
3494,17
3667,03
3813,06
3917,96
3895,51
3801,06
3570,12
3701,61
3862,27
3970,1
4138,52
4199,75
4290,89
4443,91
4502,64
4356,98
4591,27
4696,96
4621,4
4562,84
4202,52
4296,49
4435,23
4105,18
4116,68
3844,49
3720,98
3674,4
3857,62
3801,06
3504,37
3032,6
3047,03
2962,34
2197,82
2014,45

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=32829&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=32829&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32829&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)0.549487685852367
Exact Logistic (lambda=0)0.969874958471526
Approx. Normal (lambda=0.14)0.98254695318954
U-shaped (lambda=0.5)0.990907232088976
Exactly Uniform (lambda=1)0.987751637419264

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.549487685852367 \tabularnewline
Exact Logistic (lambda=0) & 0.969874958471526 \tabularnewline
Approx. Normal (lambda=0.14) & 0.98254695318954 \tabularnewline
U-shaped (lambda=0.5) & 0.990907232088976 \tabularnewline
Exactly Uniform (lambda=1) & 0.987751637419264 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32829&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]0.549487685852367[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.969874958471526[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.98254695318954[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.990907232088976[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.987751637419264[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32829&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32829&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)0.549487685852367
Exact Logistic (lambda=0)0.969874958471526
Approx. Normal (lambda=0.14)0.98254695318954
U-shaped (lambda=0.5)0.990907232088976
Exactly Uniform (lambda=1)0.987751637419264


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')