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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 computationSun, 29 Nov 2009 08:54:40 -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/29/t12595101167bp604r51l7prej.htm/, Retrieved Fri, 29 Mar 2024 07:20:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=61637, Retrieved Fri, 29 Mar 2024 07:20:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact144
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] [SHWS8methode2] [2009-11-24 17:48:12] [a66d3a79ef9e5308cd94a469bc5ca464]
-    D            [Variance Reduction Matrix] [SHWWS8review4] [2009-11-29 15:54:40] [db49399df1e4a3dbe31268849cebfd7f] [Current]
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Dataseries X:
10414,9
12476,8
12384,6
12266,7
12919,9
11497,3
12142
13919,4
12656,8
12034,1
13199,7
10881,3
11301,2
13643,9
12517
13981,1
14275,7
13435
13565,7
16216,3
12970
14079,9
14235
12213,4
12581
14130,4
14210,8
14378,5
13142,8
13714,7
13621,9
15379,8
13306,3
14391,2
14909,9
14025,4
12951,2
14344,3
16093,4
15413,6
14705,7
15972,8
16241,4
16626,4
17136,2
15622,9
18003,9
16136,1
14423,7
16789,4
16782,2
14133,8
12607
12004,5
12175,4
13268
12299,3
11800,6
13873,3
12269,6




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=61637&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=61637&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61637&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)2792656.19824576Range7589Trim Var.1901770.23126485
V(Y[t],d=1,D=0)1964981.98991818Range5896.9Trim Var.1397574.20039913
V(Y[t],d=2,D=0)5197896.33122807Range10253.1Trim Var.3493239.31696456
V(Y[t],d=3,D=0)15564901.5317356Range18669.9Trim Var.10002603.0653020
V(Y[t],d=0,D=1)4471517.81761968Range8666.8Trim Var.2889102.26889663
V(Y[t],d=1,D=1)1458248.60444033Range5181.5Trim Var.984685.956487805
V(Y[t],d=2,D=1)4439572.63482609Range9642Trim Var.2750641.05430128
V(Y[t],d=3,D=1)15696615.7261818Range18779.7Trim Var.9035773.71291498
V(Y[t],d=0,D=2)9736246.2588254Range12160.4Trim Var.6791406.12125
V(Y[t],d=1,D=2)3567716.43105883Range7674.6Trim Var.2339545.60978495
V(Y[t],d=2,D=2)11127390.0331997Range13816.9Trim Var.7343673.7234023
V(Y[t],d=3,D=2)39331205.7823485Range27274.9Trim Var.25183820.9367241

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 2792656.19824576 & Range & 7589 & Trim Var. & 1901770.23126485 \tabularnewline
V(Y[t],d=1,D=0) & 1964981.98991818 & Range & 5896.9 & Trim Var. & 1397574.20039913 \tabularnewline
V(Y[t],d=2,D=0) & 5197896.33122807 & Range & 10253.1 & Trim Var. & 3493239.31696456 \tabularnewline
V(Y[t],d=3,D=0) & 15564901.5317356 & Range & 18669.9 & Trim Var. & 10002603.0653020 \tabularnewline
V(Y[t],d=0,D=1) & 4471517.81761968 & Range & 8666.8 & Trim Var. & 2889102.26889663 \tabularnewline
V(Y[t],d=1,D=1) & 1458248.60444033 & Range & 5181.5 & Trim Var. & 984685.956487805 \tabularnewline
V(Y[t],d=2,D=1) & 4439572.63482609 & Range & 9642 & Trim Var. & 2750641.05430128 \tabularnewline
V(Y[t],d=3,D=1) & 15696615.7261818 & Range & 18779.7 & Trim Var. & 9035773.71291498 \tabularnewline
V(Y[t],d=0,D=2) & 9736246.2588254 & Range & 12160.4 & Trim Var. & 6791406.12125 \tabularnewline
V(Y[t],d=1,D=2) & 3567716.43105883 & Range & 7674.6 & Trim Var. & 2339545.60978495 \tabularnewline
V(Y[t],d=2,D=2) & 11127390.0331997 & Range & 13816.9 & Trim Var. & 7343673.7234023 \tabularnewline
V(Y[t],d=3,D=2) & 39331205.7823485 & Range & 27274.9 & Trim Var. & 25183820.9367241 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61637&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]2792656.19824576[/C][C]Range[/C][C]7589[/C][C]Trim Var.[/C][C]1901770.23126485[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]1964981.98991818[/C][C]Range[/C][C]5896.9[/C][C]Trim Var.[/C][C]1397574.20039913[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]5197896.33122807[/C][C]Range[/C][C]10253.1[/C][C]Trim Var.[/C][C]3493239.31696456[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]15564901.5317356[/C][C]Range[/C][C]18669.9[/C][C]Trim Var.[/C][C]10002603.0653020[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]4471517.81761968[/C][C]Range[/C][C]8666.8[/C][C]Trim Var.[/C][C]2889102.26889663[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]1458248.60444033[/C][C]Range[/C][C]5181.5[/C][C]Trim Var.[/C][C]984685.956487805[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]4439572.63482609[/C][C]Range[/C][C]9642[/C][C]Trim Var.[/C][C]2750641.05430128[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]15696615.7261818[/C][C]Range[/C][C]18779.7[/C][C]Trim Var.[/C][C]9035773.71291498[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]9736246.2588254[/C][C]Range[/C][C]12160.4[/C][C]Trim Var.[/C][C]6791406.12125[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]3567716.43105883[/C][C]Range[/C][C]7674.6[/C][C]Trim Var.[/C][C]2339545.60978495[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]11127390.0331997[/C][C]Range[/C][C]13816.9[/C][C]Trim Var.[/C][C]7343673.7234023[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]39331205.7823485[/C][C]Range[/C][C]27274.9[/C][C]Trim Var.[/C][C]25183820.9367241[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=61637&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61637&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)2792656.19824576Range7589Trim Var.1901770.23126485
V(Y[t],d=1,D=0)1964981.98991818Range5896.9Trim Var.1397574.20039913
V(Y[t],d=2,D=0)5197896.33122807Range10253.1Trim Var.3493239.31696456
V(Y[t],d=3,D=0)15564901.5317356Range18669.9Trim Var.10002603.0653020
V(Y[t],d=0,D=1)4471517.81761968Range8666.8Trim Var.2889102.26889663
V(Y[t],d=1,D=1)1458248.60444033Range5181.5Trim Var.984685.956487805
V(Y[t],d=2,D=1)4439572.63482609Range9642Trim Var.2750641.05430128
V(Y[t],d=3,D=1)15696615.7261818Range18779.7Trim Var.9035773.71291498
V(Y[t],d=0,D=2)9736246.2588254Range12160.4Trim Var.6791406.12125
V(Y[t],d=1,D=2)3567716.43105883Range7674.6Trim Var.2339545.60978495
V(Y[t],d=2,D=2)11127390.0331997Range13816.9Trim Var.7343673.7234023
V(Y[t],d=3,D=2)39331205.7823485Range27274.9Trim Var.25183820.9367241



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')