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Author

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R Software Module

rwasp_variancereduction.wasp

Title produced by software

Variance Reduction Matrix

Date of computation

Wed, 22 Dec 2010 14:11:28 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/22/t1293026962i8ia414lw43v4ru.htm/, Retrieved Mon, 06 May 2024 08:39:09 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=114224, Retrieved Mon, 06 May 2024 08:39:09 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

143

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Variance Reduction Matrix] [Unemployment] [2010-11-29 09:29:57] [b98453cac15ba1066b407e146608df68]
-   PD  [Variance Reduction Matrix] [WS9 - Variance Re...] [2010-12-04 11:04:59] [8ef49741e164ec6343c90c7935194465]
-   P     [Variance Reduction Matrix] [WS 9 VRM] [2010-12-05 14:01:21] [8214fe6d084e5ad7598b249a26cc9f06]
-    D      [Variance Reduction Matrix] [paper VRM ] [2010-12-10 10:35:54] [8214fe6d084e5ad7598b249a26cc9f06]
-    D        [Variance Reduction Matrix] [vrm] [2010-12-20 19:36:17] [8214fe6d084e5ad7598b249a26cc9f06]
-   PD          [Variance Reduction Matrix] [vrm laaggeschoolden] [2010-12-21 19:19:07] [8214fe6d084e5ad7598b249a26cc9f06]
-   PD              [Variance Reduction Matrix] [vrm middengeschoo...] [2010-12-22 14:11:28] [b47314d83d48c7bf812ec2bcd743b159] [Current]
-    D                [Variance Reduction Matrix] [vrm hooggeschoolden] [2010-12-22 14:16:32] [8214fe6d084e5ad7598b249a26cc9f06] 

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114224&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114224&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114224&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 Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'RServer@AstonUniversity' @ vre.aston.ac.uk

Variance Reduction Matrix
V(Y[t],d=0,D=0)	103919027.753611	Range	43018	Trim Var.	74624415.36089
V(Y[t],d=1,D=0)	19802072.8449016	Range	23229	Trim Var.	9512947.75052474
V(Y[t],d=2,D=0)	30179544.108406	Range	29069	Trim Var.	16554195.8100687
V(Y[t],d=3,D=0)	69249963.7234252	Range	43713	Trim Var.	34806815.2002018
V(Y[t],d=0,D=1)	65069217.5836775	Range	34163	Trim Var.	45797637.8670428
V(Y[t],d=1,D=1)	4268829.61060409	Range	11787	Trim Var.	2245047.17708895
V(Y[t],d=2,D=1)	8974839.97406425	Range	18146	Trim Var.	4257441.40238095
V(Y[t],d=3,D=1)	29858977.9586207	Range	30788	Trim Var.	15463637.6586072
V(Y[t],d=0,D=2)	93191565.5187798	Range	38391	Trim Var.	66460245.1075028
V(Y[t],d=1,D=2)	10744719.7728661	Range	20153	Trim Var.	4819894.33127431
V(Y[t],d=2,D=2)	24713327.3512821	Range	32431	Trim Var.	11971984.115942
V(Y[t],d=3,D=2)	82757047.8655713	Range	53612	Trim Var.	39424995.0974678

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 103919027.753611 & Range & 43018 & Trim Var. & 74624415.36089 \tabularnewline
V(Y[t],d=1,D=0) & 19802072.8449016 & Range & 23229 & Trim Var. & 9512947.75052474 \tabularnewline
V(Y[t],d=2,D=0) & 30179544.108406 & Range & 29069 & Trim Var. & 16554195.8100687 \tabularnewline
V(Y[t],d=3,D=0) & 69249963.7234252 & Range & 43713 & Trim Var. & 34806815.2002018 \tabularnewline
V(Y[t],d=0,D=1) & 65069217.5836775 & Range & 34163 & Trim Var. & 45797637.8670428 \tabularnewline
V(Y[t],d=1,D=1) & 4268829.61060409 & Range & 11787 & Trim Var. & 2245047.17708895 \tabularnewline
V(Y[t],d=2,D=1) & 8974839.97406425 & Range & 18146 & Trim Var. & 4257441.40238095 \tabularnewline
V(Y[t],d=3,D=1) & 29858977.9586207 & Range & 30788 & Trim Var. & 15463637.6586072 \tabularnewline
V(Y[t],d=0,D=2) & 93191565.5187798 & Range & 38391 & Trim Var. & 66460245.1075028 \tabularnewline
V(Y[t],d=1,D=2) & 10744719.7728661 & Range & 20153 & Trim Var. & 4819894.33127431 \tabularnewline
V(Y[t],d=2,D=2) & 24713327.3512821 & Range & 32431 & Trim Var. & 11971984.115942 \tabularnewline
V(Y[t],d=3,D=2) & 82757047.8655713 & Range & 53612 & Trim Var. & 39424995.0974678 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114224&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]103919027.753611[/C][C]Range[/C][C]43018[/C][C]Trim Var.[/C][C]74624415.36089[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]19802072.8449016[/C][C]Range[/C][C]23229[/C][C]Trim Var.[/C][C]9512947.75052474[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]30179544.108406[/C][C]Range[/C][C]29069[/C][C]Trim Var.[/C][C]16554195.8100687[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]69249963.7234252[/C][C]Range[/C][C]43713[/C][C]Trim Var.[/C][C]34806815.2002018[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]65069217.5836775[/C][C]Range[/C][C]34163[/C][C]Trim Var.[/C][C]45797637.8670428[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]4268829.61060409[/C][C]Range[/C][C]11787[/C][C]Trim Var.[/C][C]2245047.17708895[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]8974839.97406425[/C][C]Range[/C][C]18146[/C][C]Trim Var.[/C][C]4257441.40238095[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]29858977.9586207[/C][C]Range[/C][C]30788[/C][C]Trim Var.[/C][C]15463637.6586072[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]93191565.5187798[/C][C]Range[/C][C]38391[/C][C]Trim Var.[/C][C]66460245.1075028[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]10744719.7728661[/C][C]Range[/C][C]20153[/C][C]Trim Var.[/C][C]4819894.33127431[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]24713327.3512821[/C][C]Range[/C][C]32431[/C][C]Trim Var.[/C][C]11971984.115942[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]82757047.8655713[/C][C]Range[/C][C]53612[/C][C]Trim Var.[/C][C]39424995.0974678[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114224&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114224&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)	103919027.753611	Range	43018	Trim Var.	74624415.36089
V(Y[t],d=1,D=0)	19802072.8449016	Range	23229	Trim Var.	9512947.75052474
V(Y[t],d=2,D=0)	30179544.108406	Range	29069	Trim Var.	16554195.8100687
V(Y[t],d=3,D=0)	69249963.7234252	Range	43713	Trim Var.	34806815.2002018
V(Y[t],d=0,D=1)	65069217.5836775	Range	34163	Trim Var.	45797637.8670428
V(Y[t],d=1,D=1)	4268829.61060409	Range	11787	Trim Var.	2245047.17708895
V(Y[t],d=2,D=1)	8974839.97406425	Range	18146	Trim Var.	4257441.40238095
V(Y[t],d=3,D=1)	29858977.9586207	Range	30788	Trim Var.	15463637.6586072
V(Y[t],d=0,D=2)	93191565.5187798	Range	38391	Trim Var.	66460245.1075028
V(Y[t],d=1,D=2)	10744719.7728661	Range	20153	Trim Var.	4819894.33127431
V(Y[t],d=2,D=2)	24713327.3512821	Range	32431	Trim Var.	11971984.115942
V(Y[t],d=3,D=2)	82757047.8655713	Range	53612	Trim Var.	39424995.0974678

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')

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