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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, 13 Dec 2008 07:19:33 -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/13/t1229178109upeavg7rf878u1c.htm/, Retrieved Fri, 17 May 2024 07:01:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=33118, Retrieved Fri, 17 May 2024 07:01:11 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact200

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] [Import uit Amerika] [2008-10-13 18:55:55] [b943bd7078334192ff8343563ee31113]
- RMPD  [Histogram] [Paper Analyse (1)] [2008-12-13 13:37:46] [b943bd7078334192ff8343563ee31113]
- RMP       [Tukey lambda PPCC Plot] [Paper Analyse (2)] [2008-12-13 14:19:33] [620b6ad5c4696049e39cb73ce029682c] [Current]
- RMP         [Maximum-likelihood Fitting - Normal Distribution] [Paper Analyse (3)] [2008-12-13 14:43:10] [b943bd7078334192ff8343563ee31113]
- RM          [Central Tendency] [Paper Analyse (3)] [2008-12-13 14:48:04] [b943bd7078334192ff8343563ee31113]
- RMP           [Mean Plot] [Paper Analyse (4)] [2008-12-13 16:59:19] [b943bd7078334192ff8343563ee31113]
- RMPD            [Pearson Correlation] [Paper Analyse (5)] [2008-12-13 17:21:52] [b943bd7078334192ff8343563ee31113]
-    D              [Pearson Correlation] [Paper Analyse (6)] [2008-12-13 17:43:27] [b943bd7078334192ff8343563ee31113]
- RM D                [Partial Correlation] [Paper Analyse (7)] [2008-12-13 19:17:34] [b943bd7078334192ff8343563ee31113]
- RMPD                  [Standard Deviation-Mean Plot] [Paper Analyse (8)] [2008-12-13 20:10:46] [b943bd7078334192ff8343563ee31113]
- RM                      [Variance Reduction Matrix] [Paper Analyse (9)] [2008-12-13 20:12:45] [b943bd7078334192ff8343563ee31113]
- RMP                       [(Partial) Autocorrelation Function] [Paper Analyse (10)] [2008-12-14 09:58:13] [b943bd7078334192ff8343563ee31113]
-   P                         [(Partial) Autocorrelation Function] [Paper Analyse (11)] [2008-12-14 09:59:43] [b943bd7078334192ff8343563ee31113]
-   P                           [(Partial) Autocorrelation Function] [Paper Analyse (12)] [2008-12-14 10:02:10] [b943bd7078334192ff8343563ee31113]
- RMP                             [ARIMA Backward Selection] [Paper Analyse (13)] [2008-12-14 10:33:42] [b943bd7078334192ff8343563ee31113]
- RMP                           [Spectral Analysis] [Paper Analyse (14)] [2008-12-17 14:20:55] [b943bd7078334192ff8343563ee31113]
- RM                            [Spectral Analysis] [Paper Analyse (15)] [2008-12-17 14:41:03] [b943bd7078334192ff8343563ee31113]
- RMP                           [ARIMA Backward Selection] [ARIMA Backward Mo...] [2008-12-17 15:08:32] [b943bd7078334192ff8343563ee31113]
-   P                         [(Partial) Autocorrelation Function] [Paper Analyse (16)] [2008-12-21 11:54:36] [b943bd7078334192ff8343563ee31113]
-   P                           [(Partial) Autocorrelation Function] [Paper Analyse (17)] [2008-12-21 11:57:49] [b943bd7078334192ff8343563ee31113]
- RMP                             [Spectral Analysis] [Paper Analyse (18)] [2008-12-21 12:02:44] [b943bd7078334192ff8343563ee31113]
-   P                               [Spectral Analysis] [Paper Analyse (19)] [2008-12-21 12:06:49] [b943bd7078334192ff8343563ee31113]
- RMP                                 [ARIMA Backward Selection] [Paper Analyse (20)] [2008-12-21 12:13:35] [b943bd7078334192ff8343563ee31113]
- RMP                                   [ARIMA Forecasting] [Paper Analyse (21)] [2008-12-21 13:12:31] [b943bd7078334192ff8343563ee31113]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1593
1477.9
1733.7
1569.7
1843.7
1950.3
1657.5
1772.1
1568.3
1809.8
1646.7
1808.5
1763.9
1625.5
1538.8
1342.4
1645.1
1619.9
1338.1
1505.5
1529.1
1511.9
1656.7
1694.4
1662.3
1588.7
1483.3
1585.6
1658.9
1584.4
1470.6
1618.7
1407.6
1473.9
1515.3
1485.4
1496.1
1493.5
1298.4
1375.3
1507.9
1455.3
1363.3
1392.8
1348.8
1880.3
1669.2
1543.6
1701.2
1516.5
1466.8
1484.1
1577.2
1684.5
1414.7
1674.5
1598.7
1739.1
1674.6
1671.8
1802
1526.8
1580.9
1634.8
1610.3
1712
1678.8
1708.1
1680.6
2056
1624
2021.4
1861.1
1750.8
1767.5
1710.3
2151.5
2047.9
1915.4
1984.7
1896.5
2170.8
2139.9
2330.5
2121.8
2226.8
1857.9
2155.9
2341.7
2290.2
2006.5
2111.9
1731.3
1762.2
1863.2
1943.5
1975.2

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 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=33118&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]3 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=33118&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33118&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 time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.597387698275831
Exact Logistic (lambda=0)0.968327613023257
Approx. Normal (lambda=0.14)0.973747036572187
U-shaped (lambda=0.5)0.96917618419352
Exactly Uniform (lambda=1)0.95808002479549

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.597387698275831 \tabularnewline
Exact Logistic (lambda=0) & 0.968327613023257 \tabularnewline
Approx. Normal (lambda=0.14) & 0.973747036572187 \tabularnewline
U-shaped (lambda=0.5) & 0.96917618419352 \tabularnewline
Exactly Uniform (lambda=1) & 0.95808002479549 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33118&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]0.597387698275831[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.968327613023257[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.973747036572187[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.96917618419352[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.95808002479549[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33118&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33118&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)0.597387698275831
Exact Logistic (lambda=0)0.968327613023257
Approx. Normal (lambda=0.14)0.973747036572187
U-shaped (lambda=0.5)0.96917618419352
Exactly Uniform (lambda=1)0.95808002479549


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')