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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_variancereduction.wasp
Title produced by softwareVariance Reduction Matrix
Date of computationFri, 11 Dec 2009 10:08:26 -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/2009/Dec/11/t12605513536nw3pg4mup4l7t5.htm/, Retrieved Sun, 28 Apr 2024 22:50:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=66568, Retrieved Sun, 28 Apr 2024 22:50:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact123

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [(Partial) Autocorrelation Function] [Identifying Integ...] [2009-11-22 12:16:10] [b98453cac15ba1066b407e146608df68]
-    D        [(Partial) Autocorrelation Function] [ws8] [2009-11-24 20:12:27] [8b1aef4e7013bd33fbc2a5833375c5f5]
-    D          [(Partial) Autocorrelation Function] [SHw WS8] [2009-11-25 18:52:43] [af2352cd9a951bedd08ebe247d0de1a2]
- RMP               [Variance Reduction Matrix] [] [2009-12-11 17:08:26] [71596e6a53ccce532e52aaf6113616ef] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
562
561
555
544
537
543
594
611
613
611
594
595
591
589
584
573
567
569
621
629
628
612
595
597
593
590
580
574
573
573
620
626
620
588
566
557
561
549
532
526
511
499
555
565
542
527
510
514
517
508
493
490
469
478
528
534
518
506
502
516

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=66568&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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=66568&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=66568&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 time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Variance Reduction Matrix
V(Y[t],d=0,D=0)1761.47881355932Range160Trim Var.1325.91369671558
V(Y[t],d=1,D=0)346.450613676213Range88Trim Var.179.670537010160
V(Y[t],d=2,D=0)519.809134906231Range114Trim Var.280.530920060332
V(Y[t],d=3,D=0)1243.5664160401Range179Trim Var.618.520784313725
V(Y[t],d=0,D=1)950.442819148936Range108Trim Var.669.55243902439
V(Y[t],d=1,D=1)67.5975948196115Range38Trim Var.28.8663967611336
V(Y[t],d=2,D=1)136.808212560386Range61Trim Var.60.848717948718
V(Y[t],d=3,D=1)443.055555555556Range109Trim Var.210.576248313090
V(Y[t],d=0,D=2)1362.93571428571Range132Trim Var.1008.96370967742
V(Y[t],d=1,D=2)163.408403361345Range52Trim Var.96.2795698924731
V(Y[t],d=2,D=2)390.204099821747Range93Trim Var.209.613793103448
V(Y[t],d=3,D=2)1276.57007575758Range136Trim Var.823.04433497537

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 1761.47881355932 & Range & 160 & Trim Var. & 1325.91369671558 \tabularnewline
V(Y[t],d=1,D=0) & 346.450613676213 & Range & 88 & Trim Var. & 179.670537010160 \tabularnewline
V(Y[t],d=2,D=0) & 519.809134906231 & Range & 114 & Trim Var. & 280.530920060332 \tabularnewline
V(Y[t],d=3,D=0) & 1243.5664160401 & Range & 179 & Trim Var. & 618.520784313725 \tabularnewline
V(Y[t],d=0,D=1) & 950.442819148936 & Range & 108 & Trim Var. & 669.55243902439 \tabularnewline
V(Y[t],d=1,D=1) & 67.5975948196115 & Range & 38 & Trim Var. & 28.8663967611336 \tabularnewline
V(Y[t],d=2,D=1) & 136.808212560386 & Range & 61 & Trim Var. & 60.848717948718 \tabularnewline
V(Y[t],d=3,D=1) & 443.055555555556 & Range & 109 & Trim Var. & 210.576248313090 \tabularnewline
V(Y[t],d=0,D=2) & 1362.93571428571 & Range & 132 & Trim Var. & 1008.96370967742 \tabularnewline
V(Y[t],d=1,D=2) & 163.408403361345 & Range & 52 & Trim Var. & 96.2795698924731 \tabularnewline
V(Y[t],d=2,D=2) & 390.204099821747 & Range & 93 & Trim Var. & 209.613793103448 \tabularnewline
V(Y[t],d=3,D=2) & 1276.57007575758 & Range & 136 & Trim Var. & 823.04433497537 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=66568&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]1761.47881355932[/C][C]Range[/C][C]160[/C][C]Trim Var.[/C][C]1325.91369671558[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]346.450613676213[/C][C]Range[/C][C]88[/C][C]Trim Var.[/C][C]179.670537010160[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]519.809134906231[/C][C]Range[/C][C]114[/C][C]Trim Var.[/C][C]280.530920060332[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]1243.5664160401[/C][C]Range[/C][C]179[/C][C]Trim Var.[/C][C]618.520784313725[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]950.442819148936[/C][C]Range[/C][C]108[/C][C]Trim Var.[/C][C]669.55243902439[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]67.5975948196115[/C][C]Range[/C][C]38[/C][C]Trim Var.[/C][C]28.8663967611336[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]136.808212560386[/C][C]Range[/C][C]61[/C][C]Trim Var.[/C][C]60.848717948718[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]443.055555555556[/C][C]Range[/C][C]109[/C][C]Trim Var.[/C][C]210.576248313090[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]1362.93571428571[/C][C]Range[/C][C]132[/C][C]Trim Var.[/C][C]1008.96370967742[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]163.408403361345[/C][C]Range[/C][C]52[/C][C]Trim Var.[/C][C]96.2795698924731[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]390.204099821747[/C][C]Range[/C][C]93[/C][C]Trim Var.[/C][C]209.613793103448[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]1276.57007575758[/C][C]Range[/C][C]136[/C][C]Trim Var.[/C][C]823.04433497537[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=66568&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=66568&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:

Variance Reduction Matrix
V(Y[t],d=0,D=0)1761.47881355932Range160Trim Var.1325.91369671558
V(Y[t],d=1,D=0)346.450613676213Range88Trim Var.179.670537010160
V(Y[t],d=2,D=0)519.809134906231Range114Trim Var.280.530920060332
V(Y[t],d=3,D=0)1243.5664160401Range179Trim Var.618.520784313725
V(Y[t],d=0,D=1)950.442819148936Range108Trim Var.669.55243902439
V(Y[t],d=1,D=1)67.5975948196115Range38Trim Var.28.8663967611336
V(Y[t],d=2,D=1)136.808212560386Range61Trim Var.60.848717948718
V(Y[t],d=3,D=1)443.055555555556Range109Trim Var.210.576248313090
V(Y[t],d=0,D=2)1362.93571428571Range132Trim Var.1008.96370967742
V(Y[t],d=1,D=2)163.408403361345Range52Trim Var.96.2795698924731
V(Y[t],d=2,D=2)390.204099821747Range93Trim Var.209.613793103448
V(Y[t],d=3,D=2)1276.57007575758Range136Trim Var.823.04433497537


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 12 ;
Parameters (R input):
par1 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
n <- length(x)
sx <- sort(x)
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Variance Reduction Matrix',6,TRUE)
a<-table.row.end(a)
for (bigd in 0:2) {
for (smalld in 0:3) {
mylabel <- 'V(Y[t],d='
mylabel <- paste(mylabel,as.character(smalld),sep='')
mylabel <- paste(mylabel,',D=',sep='')
mylabel <- paste(mylabel,as.character(bigd),sep='')
mylabel <- paste(mylabel,')',sep='')
a<-table.row.start(a)
a<-table.element(a,mylabel,header=TRUE)
myx <- x
if (smalld > 0) myx <- diff(x,lag=1,differences=smalld)
if (bigd > 0) myx <- diff(myx,lag=par1,differences=bigd)
a<-table.element(a,var(myx))
a<-table.element(a,'Range',header=TRUE)
a<-table.element(a,max(myx)-min(myx))
a<-table.element(a,'Trim Var.',header=TRUE)
smyx <- sort(myx)
sn <- length(smyx)
a<-table.element(a,var(smyx[smyx>quantile(smyx,0.05) & smyxa<-table.row.end(a)
}
}
a<-table.end(a)
table.save(a,file='mytable.tab')