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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 computationTue, 24 Nov 2009 11:18:57 -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/24/t1259086764slyjru4e1jo5ez5.htm/, Retrieved Mon, 26 Feb 2024 04:59:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=59201, Retrieved Mon, 26 Feb 2024 04:59:42 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact121
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       [Variance Reduction Matrix] [Identifying Integ...] [2009-11-22 12:29:54] [b98453cac15ba1066b407e146608df68]
-    D          [Variance Reduction Matrix] [] [2009-11-24 18:18:57] [508aab72d879399b4187e5fcd8f7c773] [Current]
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Dataseries X:
8.9
8.8
8.3
7.5
7.2
7.4
8.8
9.3
9.3
8.7
8.2
8.3
8.5
8.6
8.5
8.2
8.1
7.9
8.6
8.7
8.7
8.5
8.4
8.5
8.7
8.7
8.6
8.5
8.3
8
8.2
8.1
8.1
8
7.9
7.9
8
8
7.9
8
7.7
7.2
7.5
7.3
7
7
7
7.2
7.3
7.1
6.8
6.4
6.1
6.5
7.7
7.9
7.5
6.9
6.6
6.9




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59201&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]1 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=59201&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59201&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Variance Reduction Matrix
V(Y[t],d=0,D=0)0.552497175141243Range3.2Trim Var.0.381107617051013
V(Y[t],d=1,D=0)0.140900058445354Range2.2Trim Var.0.0535486211901306
V(Y[t],d=2,D=0)0.179951603145796Range2.2Trim Var.0.0909490196078432
V(Y[t],d=3,D=0)0.358972431077694Range3.1Trim Var.0.146517647058824
V(Y[t],d=0,D=1)0.318705673758865Range2.5Trim Var.0.188391405342625
V(Y[t],d=1,D=1)0.105430157261795Range1.6Trim Var.0.0469024390243903
V(Y[t],d=2,D=1)0.0966618357487923Range1.5Trim Var.0.0581474358974359
V(Y[t],d=3,D=1)0.144070707070707Range1.7Trim Var.0.0857624831309043
V(Y[t],d=0,D=2)0.436285714285714Range2.7Trim Var.0.2578125
V(Y[t],d=1,D=2)0.142319327731092Range1.8Trim Var.0.0664731182795699
V(Y[t],d=2,D=2)0.151479500891265Range1.9Trim Var.0.0792643678160918
V(Y[t],d=3,D=2)0.304848484848484Range2.60000000000000Trim Var.0.124802955665024

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 0.552497175141243 & Range & 3.2 & Trim Var. & 0.381107617051013 \tabularnewline
V(Y[t],d=1,D=0) & 0.140900058445354 & Range & 2.2 & Trim Var. & 0.0535486211901306 \tabularnewline
V(Y[t],d=2,D=0) & 0.179951603145796 & Range & 2.2 & Trim Var. & 0.0909490196078432 \tabularnewline
V(Y[t],d=3,D=0) & 0.358972431077694 & Range & 3.1 & Trim Var. & 0.146517647058824 \tabularnewline
V(Y[t],d=0,D=1) & 0.318705673758865 & Range & 2.5 & Trim Var. & 0.188391405342625 \tabularnewline
V(Y[t],d=1,D=1) & 0.105430157261795 & Range & 1.6 & Trim Var. & 0.0469024390243903 \tabularnewline
V(Y[t],d=2,D=1) & 0.0966618357487923 & Range & 1.5 & Trim Var. & 0.0581474358974359 \tabularnewline
V(Y[t],d=3,D=1) & 0.144070707070707 & Range & 1.7 & Trim Var. & 0.0857624831309043 \tabularnewline
V(Y[t],d=0,D=2) & 0.436285714285714 & Range & 2.7 & Trim Var. & 0.2578125 \tabularnewline
V(Y[t],d=1,D=2) & 0.142319327731092 & Range & 1.8 & Trim Var. & 0.0664731182795699 \tabularnewline
V(Y[t],d=2,D=2) & 0.151479500891265 & Range & 1.9 & Trim Var. & 0.0792643678160918 \tabularnewline
V(Y[t],d=3,D=2) & 0.304848484848484 & Range & 2.60000000000000 & Trim Var. & 0.124802955665024 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59201&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]0.552497175141243[/C][C]Range[/C][C]3.2[/C][C]Trim Var.[/C][C]0.381107617051013[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.140900058445354[/C][C]Range[/C][C]2.2[/C][C]Trim Var.[/C][C]0.0535486211901306[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]0.179951603145796[/C][C]Range[/C][C]2.2[/C][C]Trim Var.[/C][C]0.0909490196078432[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]0.358972431077694[/C][C]Range[/C][C]3.1[/C][C]Trim Var.[/C][C]0.146517647058824[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]0.318705673758865[/C][C]Range[/C][C]2.5[/C][C]Trim Var.[/C][C]0.188391405342625[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]0.105430157261795[/C][C]Range[/C][C]1.6[/C][C]Trim Var.[/C][C]0.0469024390243903[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]0.0966618357487923[/C][C]Range[/C][C]1.5[/C][C]Trim Var.[/C][C]0.0581474358974359[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]0.144070707070707[/C][C]Range[/C][C]1.7[/C][C]Trim Var.[/C][C]0.0857624831309043[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]0.436285714285714[/C][C]Range[/C][C]2.7[/C][C]Trim Var.[/C][C]0.2578125[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]0.142319327731092[/C][C]Range[/C][C]1.8[/C][C]Trim Var.[/C][C]0.0664731182795699[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]0.151479500891265[/C][C]Range[/C][C]1.9[/C][C]Trim Var.[/C][C]0.0792643678160918[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]0.304848484848484[/C][C]Range[/C][C]2.60000000000000[/C][C]Trim Var.[/C][C]0.124802955665024[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=59201&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59201&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)0.552497175141243Range3.2Trim Var.0.381107617051013
V(Y[t],d=1,D=0)0.140900058445354Range2.2Trim Var.0.0535486211901306
V(Y[t],d=2,D=0)0.179951603145796Range2.2Trim Var.0.0909490196078432
V(Y[t],d=3,D=0)0.358972431077694Range3.1Trim Var.0.146517647058824
V(Y[t],d=0,D=1)0.318705673758865Range2.5Trim Var.0.188391405342625
V(Y[t],d=1,D=1)0.105430157261795Range1.6Trim Var.0.0469024390243903
V(Y[t],d=2,D=1)0.0966618357487923Range1.5Trim Var.0.0581474358974359
V(Y[t],d=3,D=1)0.144070707070707Range1.7Trim Var.0.0857624831309043
V(Y[t],d=0,D=2)0.436285714285714Range2.7Trim Var.0.2578125
V(Y[t],d=1,D=2)0.142319327731092Range1.8Trim Var.0.0664731182795699
V(Y[t],d=2,D=2)0.151479500891265Range1.9Trim Var.0.0792643678160918
V(Y[t],d=3,D=2)0.304848484848484Range2.60000000000000Trim Var.0.124802955665024



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')