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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 14:16:32 +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/t129302727198pn6sjecn0tvay.htm/, Retrieved Mon, 06 May 2024 09:25:50 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=114232, Retrieved Mon, 06 May 2024 09:25:50 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

159

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] [8214fe6d084e5ad7598b249a26cc9f06]
-    D                [Variance Reduction Matrix] [vrm hooggeschoolden] [2010-12-22 14:16:32] [b47314d83d48c7bf812ec2bcd743b159] [Current]

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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	'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114232&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114232&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114232&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	'George Udny Yule' @ 72.249.76.132

Variance Reduction Matrix
V(Y[t],d=0,D=0)	63757520.0093952	Range	34068	Trim Var.	43048752.4071618
V(Y[t],d=1,D=0)	20704354.4916518	Range	22735	Trim Var.	8890366.68868066
V(Y[t],d=2,D=0)	26218726.9167878	Range	25898	Trim Var.	12832407.9699466
V(Y[t],d=3,D=0)	56446945.8739542	Range	37229	Trim Var.	22961274.6338302
V(Y[t],d=0,D=1)	16249829.5641646	Range	17246	Trim Var.	11864111.8070887
V(Y[t],d=1,D=1)	1310113.32869767	Range	7053	Trim Var.	668886.683557951
V(Y[t],d=2,D=1)	2637353.41836133	Range	10625	Trim Var.	1304274.67161172
V(Y[t],d=3,D=1)	8373179.75832084	Range	17192	Trim Var.	4214137.60707618
V(Y[t],d=0,D=2)	19504961.9619115	Range	20894	Trim Var.	11693285.0152296
V(Y[t],d=1,D=2)	2873319.00700809	Range	9062	Trim Var.	1698238.19263326
V(Y[t],d=2,D=2)	6298718.56538462	Range	12331	Trim Var.	3982553.02454418
V(Y[t],d=3,D=2)	19908748.3345780	Range	22339	Trim Var.	12465118.8680124

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 63757520.0093952 & Range & 34068 & Trim Var. & 43048752.4071618 \tabularnewline
V(Y[t],d=1,D=0) & 20704354.4916518 & Range & 22735 & Trim Var. & 8890366.68868066 \tabularnewline
V(Y[t],d=2,D=0) & 26218726.9167878 & Range & 25898 & Trim Var. & 12832407.9699466 \tabularnewline
V(Y[t],d=3,D=0) & 56446945.8739542 & Range & 37229 & Trim Var. & 22961274.6338302 \tabularnewline
V(Y[t],d=0,D=1) & 16249829.5641646 & Range & 17246 & Trim Var. & 11864111.8070887 \tabularnewline
V(Y[t],d=1,D=1) & 1310113.32869767 & Range & 7053 & Trim Var. & 668886.683557951 \tabularnewline
V(Y[t],d=2,D=1) & 2637353.41836133 & Range & 10625 & Trim Var. & 1304274.67161172 \tabularnewline
V(Y[t],d=3,D=1) & 8373179.75832084 & Range & 17192 & Trim Var. & 4214137.60707618 \tabularnewline
V(Y[t],d=0,D=2) & 19504961.9619115 & Range & 20894 & Trim Var. & 11693285.0152296 \tabularnewline
V(Y[t],d=1,D=2) & 2873319.00700809 & Range & 9062 & Trim Var. & 1698238.19263326 \tabularnewline
V(Y[t],d=2,D=2) & 6298718.56538462 & Range & 12331 & Trim Var. & 3982553.02454418 \tabularnewline
V(Y[t],d=3,D=2) & 19908748.3345780 & Range & 22339 & Trim Var. & 12465118.8680124 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114232&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]63757520.0093952[/C][C]Range[/C][C]34068[/C][C]Trim Var.[/C][C]43048752.4071618[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]20704354.4916518[/C][C]Range[/C][C]22735[/C][C]Trim Var.[/C][C]8890366.68868066[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]26218726.9167878[/C][C]Range[/C][C]25898[/C][C]Trim Var.[/C][C]12832407.9699466[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]56446945.8739542[/C][C]Range[/C][C]37229[/C][C]Trim Var.[/C][C]22961274.6338302[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]16249829.5641646[/C][C]Range[/C][C]17246[/C][C]Trim Var.[/C][C]11864111.8070887[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]1310113.32869767[/C][C]Range[/C][C]7053[/C][C]Trim Var.[/C][C]668886.683557951[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]2637353.41836133[/C][C]Range[/C][C]10625[/C][C]Trim Var.[/C][C]1304274.67161172[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]8373179.75832084[/C][C]Range[/C][C]17192[/C][C]Trim Var.[/C][C]4214137.60707618[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]19504961.9619115[/C][C]Range[/C][C]20894[/C][C]Trim Var.[/C][C]11693285.0152296[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]2873319.00700809[/C][C]Range[/C][C]9062[/C][C]Trim Var.[/C][C]1698238.19263326[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]6298718.56538462[/C][C]Range[/C][C]12331[/C][C]Trim Var.[/C][C]3982553.02454418[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]19908748.3345780[/C][C]Range[/C][C]22339[/C][C]Trim Var.[/C][C]12465118.8680124[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114232&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114232&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)	63757520.0093952	Range	34068	Trim Var.	43048752.4071618
V(Y[t],d=1,D=0)	20704354.4916518	Range	22735	Trim Var.	8890366.68868066
V(Y[t],d=2,D=0)	26218726.9167878	Range	25898	Trim Var.	12832407.9699466
V(Y[t],d=3,D=0)	56446945.8739542	Range	37229	Trim Var.	22961274.6338302
V(Y[t],d=0,D=1)	16249829.5641646	Range	17246	Trim Var.	11864111.8070887
V(Y[t],d=1,D=1)	1310113.32869767	Range	7053	Trim Var.	668886.683557951
V(Y[t],d=2,D=1)	2637353.41836133	Range	10625	Trim Var.	1304274.67161172
V(Y[t],d=3,D=1)	8373179.75832084	Range	17192	Trim Var.	4214137.60707618
V(Y[t],d=0,D=2)	19504961.9619115	Range	20894	Trim Var.	11693285.0152296
V(Y[t],d=1,D=2)	2873319.00700809	Range	9062	Trim Var.	1698238.19263326
V(Y[t],d=2,D=2)	6298718.56538462	Range	12331	Trim Var.	3982553.02454418
V(Y[t],d=3,D=2)	19908748.3345780	Range	22339	Trim Var.	12465118.8680124

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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