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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, 27 Nov 2009 05:18:56 -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/Nov/27/t12593243869mejde24rtub1yn.htm/, Retrieved Sun, 28 Apr 2024 19:48:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=60625, Retrieved Sun, 28 Apr 2024 19:48:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact151
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]
- RMPD          [Variance Reduction Matrix] [] [2009-11-27 12:18:56] [2f6049721194fa571920c3539d7b729e] [Current]
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Dataseries X:
17
14
15
16
16
15
13
12
13
13
12
10
14
14
15
16
16
15
15
13
15
15
15
13
16
16
14
16
15
14
15
15
14
13
12
13
12
9
10
8
11
8
8
8
4
6
8
10
5
6
5
9
8
6
9
11
11
8
11
11
13




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=60625&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=60625&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60625&T=0

As an alternative you can also use a 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)11.5655737704918Range13Trim Var.6.22756706753006
V(Y[t],d=1,D=0)3.75819209039548Range9Trim Var.1.63430851063830
V(Y[t],d=2,D=0)9.76855639976622Range13Trim Var.6.1368778280543
V(Y[t],d=3,D=0)30.9110707803993Range24Trim Var.20.1435294117647
V(Y[t],d=0,D=1)3.75819209039548Range9Trim Var.1.63430851063830
V(Y[t],d=1,D=1)9.76855639976622Range13Trim Var.6.1368778280543
V(Y[t],d=2,D=1)30.9110707803993Range24Trim Var.20.1435294117647
V(Y[t],d=3,D=1)106.492481203008Range41Trim Var.69.9455782312925
V(Y[t],d=0,D=2)9.76855639976622Range13Trim Var.6.1368778280543
V(Y[t],d=1,D=2)30.9110707803993Range24Trim Var.20.1435294117647
V(Y[t],d=2,D=2)106.492481203008Range41Trim Var.69.9455782312925
V(Y[t],d=3,D=2)382.087987012987Range80Trim Var.239.669769503546

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 11.5655737704918 & Range & 13 & Trim Var. & 6.22756706753006 \tabularnewline
V(Y[t],d=1,D=0) & 3.75819209039548 & Range & 9 & Trim Var. & 1.63430851063830 \tabularnewline
V(Y[t],d=2,D=0) & 9.76855639976622 & Range & 13 & Trim Var. & 6.1368778280543 \tabularnewline
V(Y[t],d=3,D=0) & 30.9110707803993 & Range & 24 & Trim Var. & 20.1435294117647 \tabularnewline
V(Y[t],d=0,D=1) & 3.75819209039548 & Range & 9 & Trim Var. & 1.63430851063830 \tabularnewline
V(Y[t],d=1,D=1) & 9.76855639976622 & Range & 13 & Trim Var. & 6.1368778280543 \tabularnewline
V(Y[t],d=2,D=1) & 30.9110707803993 & Range & 24 & Trim Var. & 20.1435294117647 \tabularnewline
V(Y[t],d=3,D=1) & 106.492481203008 & Range & 41 & Trim Var. & 69.9455782312925 \tabularnewline
V(Y[t],d=0,D=2) & 9.76855639976622 & Range & 13 & Trim Var. & 6.1368778280543 \tabularnewline
V(Y[t],d=1,D=2) & 30.9110707803993 & Range & 24 & Trim Var. & 20.1435294117647 \tabularnewline
V(Y[t],d=2,D=2) & 106.492481203008 & Range & 41 & Trim Var. & 69.9455782312925 \tabularnewline
V(Y[t],d=3,D=2) & 382.087987012987 & Range & 80 & Trim Var. & 239.669769503546 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=60625&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]11.5655737704918[/C][C]Range[/C][C]13[/C][C]Trim Var.[/C][C]6.22756706753006[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]3.75819209039548[/C][C]Range[/C][C]9[/C][C]Trim Var.[/C][C]1.63430851063830[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]9.76855639976622[/C][C]Range[/C][C]13[/C][C]Trim Var.[/C][C]6.1368778280543[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]30.9110707803993[/C][C]Range[/C][C]24[/C][C]Trim Var.[/C][C]20.1435294117647[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]3.75819209039548[/C][C]Range[/C][C]9[/C][C]Trim Var.[/C][C]1.63430851063830[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]9.76855639976622[/C][C]Range[/C][C]13[/C][C]Trim Var.[/C][C]6.1368778280543[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]30.9110707803993[/C][C]Range[/C][C]24[/C][C]Trim Var.[/C][C]20.1435294117647[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]106.492481203008[/C][C]Range[/C][C]41[/C][C]Trim Var.[/C][C]69.9455782312925[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]9.76855639976622[/C][C]Range[/C][C]13[/C][C]Trim Var.[/C][C]6.1368778280543[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]30.9110707803993[/C][C]Range[/C][C]24[/C][C]Trim Var.[/C][C]20.1435294117647[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]106.492481203008[/C][C]Range[/C][C]41[/C][C]Trim Var.[/C][C]69.9455782312925[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]382.087987012987[/C][C]Range[/C][C]80[/C][C]Trim Var.[/C][C]239.669769503546[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=60625&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60625&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Variance Reduction Matrix
V(Y[t],d=0,D=0)11.5655737704918Range13Trim Var.6.22756706753006
V(Y[t],d=1,D=0)3.75819209039548Range9Trim Var.1.63430851063830
V(Y[t],d=2,D=0)9.76855639976622Range13Trim Var.6.1368778280543
V(Y[t],d=3,D=0)30.9110707803993Range24Trim Var.20.1435294117647
V(Y[t],d=0,D=1)3.75819209039548Range9Trim Var.1.63430851063830
V(Y[t],d=1,D=1)9.76855639976622Range13Trim Var.6.1368778280543
V(Y[t],d=2,D=1)30.9110707803993Range24Trim Var.20.1435294117647
V(Y[t],d=3,D=1)106.492481203008Range41Trim Var.69.9455782312925
V(Y[t],d=0,D=2)9.76855639976622Range13Trim Var.6.1368778280543
V(Y[t],d=1,D=2)30.9110707803993Range24Trim Var.20.1435294117647
V(Y[t],d=2,D=2)106.492481203008Range41Trim Var.69.9455782312925
V(Y[t],d=3,D=2)382.087987012987Range80Trim Var.239.669769503546



Parameters (Session):
par1 = 1 ;
Parameters (R input):
par1 = 1 ;
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')