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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_variancereduction.wasp

Title produced by software

Variance Reduction Matrix

Date of computation

Fri, 03 Dec 2010 17:17:12 +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/03/t12913965277tgux2y7qlfzs9n.htm/, Retrieved Tue, 07 May 2024 10:06:20 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=104935, Retrieved Tue, 07 May 2024 10:06:20 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

137

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] [2010-12-03 17:17:12] [0cadca125c925bcc9e6efbdd1941e458] [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	2 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104935&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104935&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104935&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	2 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Variance Reduction Matrix
V(Y[t],d=0,D=0)	33597839.8454728	Range	22029	Trim Var.	22628325.6682028
V(Y[t],d=1,D=0)	768705.633333333	Range	5446	Trim Var.	295451.926229508
V(Y[t],d=2,D=0)	1426756.31244672	Range	6795	Trim Var.	607024.139344262
V(Y[t],d=3,D=0)	3832158.34240562	Range	11377	Trim Var.	1733997.45169492
V(Y[t],d=0,D=1)	6278351.11981297	Range	11786	Trim Var.	3878718.28374456
V(Y[t],d=1,D=1)	1304925.63127647	Range	5603	Trim Var.	800738.529034691
V(Y[t],d=2,D=1)	2653977.46240602	Range	7357	Trim Var.	1623920.88078431
V(Y[t],d=3,D=1)	7810357.93116883	Range	12624	Trim Var.	5016270.87510204
V(Y[t],d=0,D=2)	10788282.5420907	Range	14762	Trim Var.	6427806.00243902
V(Y[t],d=1,D=2)	3162791.87681159	Range	8460	Trim Var.	1966808.87179487
V(Y[t],d=2,D=2)	7317765.93636364	Range	12624	Trim Var.	4134046.79892038
V(Y[t],d=3,D=2)	23374827.2320296	Range	22593	Trim Var.	13989386.0376956

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 33597839.8454728 & Range & 22029 & Trim Var. & 22628325.6682028 \tabularnewline
V(Y[t],d=1,D=0) & 768705.633333333 & Range & 5446 & Trim Var. & 295451.926229508 \tabularnewline
V(Y[t],d=2,D=0) & 1426756.31244672 & Range & 6795 & Trim Var. & 607024.139344262 \tabularnewline
V(Y[t],d=3,D=0) & 3832158.34240562 & Range & 11377 & Trim Var. & 1733997.45169492 \tabularnewline
V(Y[t],d=0,D=1) & 6278351.11981297 & Range & 11786 & Trim Var. & 3878718.28374456 \tabularnewline
V(Y[t],d=1,D=1) & 1304925.63127647 & Range & 5603 & Trim Var. & 800738.529034691 \tabularnewline
V(Y[t],d=2,D=1) & 2653977.46240602 & Range & 7357 & Trim Var. & 1623920.88078431 \tabularnewline
V(Y[t],d=3,D=1) & 7810357.93116883 & Range & 12624 & Trim Var. & 5016270.87510204 \tabularnewline
V(Y[t],d=0,D=2) & 10788282.5420907 & Range & 14762 & Trim Var. & 6427806.00243902 \tabularnewline
V(Y[t],d=1,D=2) & 3162791.87681159 & Range & 8460 & Trim Var. & 1966808.87179487 \tabularnewline
V(Y[t],d=2,D=2) & 7317765.93636364 & Range & 12624 & Trim Var. & 4134046.79892038 \tabularnewline
V(Y[t],d=3,D=2) & 23374827.2320296 & Range & 22593 & Trim Var. & 13989386.0376956 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104935&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]33597839.8454728[/C][C]Range[/C][C]22029[/C][C]Trim Var.[/C][C]22628325.6682028[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]768705.633333333[/C][C]Range[/C][C]5446[/C][C]Trim Var.[/C][C]295451.926229508[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]1426756.31244672[/C][C]Range[/C][C]6795[/C][C]Trim Var.[/C][C]607024.139344262[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]3832158.34240562[/C][C]Range[/C][C]11377[/C][C]Trim Var.[/C][C]1733997.45169492[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]6278351.11981297[/C][C]Range[/C][C]11786[/C][C]Trim Var.[/C][C]3878718.28374456[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]1304925.63127647[/C][C]Range[/C][C]5603[/C][C]Trim Var.[/C][C]800738.529034691[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]2653977.46240602[/C][C]Range[/C][C]7357[/C][C]Trim Var.[/C][C]1623920.88078431[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]7810357.93116883[/C][C]Range[/C][C]12624[/C][C]Trim Var.[/C][C]5016270.87510204[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]10788282.5420907[/C][C]Range[/C][C]14762[/C][C]Trim Var.[/C][C]6427806.00243902[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]3162791.87681159[/C][C]Range[/C][C]8460[/C][C]Trim Var.[/C][C]1966808.87179487[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]7317765.93636364[/C][C]Range[/C][C]12624[/C][C]Trim Var.[/C][C]4134046.79892038[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]23374827.2320296[/C][C]Range[/C][C]22593[/C][C]Trim Var.[/C][C]13989386.0376956[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104935&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104935&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)	33597839.8454728	Range	22029	Trim Var.	22628325.6682028
V(Y[t],d=1,D=0)	768705.633333333	Range	5446	Trim Var.	295451.926229508
V(Y[t],d=2,D=0)	1426756.31244672	Range	6795	Trim Var.	607024.139344262
V(Y[t],d=3,D=0)	3832158.34240562	Range	11377	Trim Var.	1733997.45169492
V(Y[t],d=0,D=1)	6278351.11981297	Range	11786	Trim Var.	3878718.28374456
V(Y[t],d=1,D=1)	1304925.63127647	Range	5603	Trim Var.	800738.529034691
V(Y[t],d=2,D=1)	2653977.46240602	Range	7357	Trim Var.	1623920.88078431
V(Y[t],d=3,D=1)	7810357.93116883	Range	12624	Trim Var.	5016270.87510204
V(Y[t],d=0,D=2)	10788282.5420907	Range	14762	Trim Var.	6427806.00243902
V(Y[t],d=1,D=2)	3162791.87681159	Range	8460	Trim Var.	1966808.87179487
V(Y[t],d=2,D=2)	7317765.93636364	Range	12624	Trim Var.	4134046.79892038
V(Y[t],d=3,D=2)	23374827.2320296	Range	22593	Trim Var.	13989386.0376956

Parameters (Session):

par1 = 1 ; par2 = 2 ; par3 = 2 ; par4 = 1 ;

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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