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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

Sun, 05 Dec 2010 10:47:01 +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/05/t129154594305o3dscq7d7x85m.htm/, Retrieved Wed, 01 May 2024 20:54:37 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=105332, Retrieved Wed, 01 May 2024 20:54:37 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

167

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       [Univariate Data Series] [Identifying Integ...] [2009-11-22 12:08:06] [b98453cac15ba1066b407e146608df68]
- RMP         [Variance Reduction Matrix] [Births] [2010-11-29 09:39:41] [b98453cac15ba1066b407e146608df68]
-   PD            [Variance Reduction Matrix] [workshop 9] [2010-12-05 10:47:01] [3f56c8f677e988de577e4e00a8180a48] [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=105332&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=105332&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105332&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)	69573.8837988827	Range	1413	Trim Var.	43154.7427727935
V(Y[t],d=1,D=0)	129645.207394388	Range	1891	Trim Var.	76254.0319099379
V(Y[t],d=2,D=0)	414910.930394211	Range	3139	Trim Var.	250078.582350629
V(Y[t],d=3,D=0)	1411003.98484848	Range	5850	Trim Var.	885725.873258498
V(Y[t],d=0,D=1)	72151.2052680354	Range	1561	Trim Var.	44838.3744519016
V(Y[t],d=1,D=1)	134586.966957651	Range	2153	Trim Var.	80128.5506076546
V(Y[t],d=2,D=1)	421139.852245345	Range	4172	Trim Var.	247668.115646258
V(Y[t],d=3,D=1)	1413906.43259424	Range	7237	Trim Var.	803621.750722207
V(Y[t],d=0,D=2)	163835.286683209	Range	2209	Trim Var.	96782.9350462487
V(Y[t],d=1,D=2)	309237.711520737	Range	3554	Trim Var.	181837.332499218
V(Y[t],d=2,D=2)	957771.706137	Range	5981	Trim Var.	533716.963292077
V(Y[t],d=3,D=2)	3199800.09941520	Range	11266	Trim Var.	1790921.13396307

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 69573.8837988827 & Range & 1413 & Trim Var. & 43154.7427727935 \tabularnewline
V(Y[t],d=1,D=0) & 129645.207394388 & Range & 1891 & Trim Var. & 76254.0319099379 \tabularnewline
V(Y[t],d=2,D=0) & 414910.930394211 & Range & 3139 & Trim Var. & 250078.582350629 \tabularnewline
V(Y[t],d=3,D=0) & 1411003.98484848 & Range & 5850 & Trim Var. & 885725.873258498 \tabularnewline
V(Y[t],d=0,D=1) & 72151.2052680354 & Range & 1561 & Trim Var. & 44838.3744519016 \tabularnewline
V(Y[t],d=1,D=1) & 134586.966957651 & Range & 2153 & Trim Var. & 80128.5506076546 \tabularnewline
V(Y[t],d=2,D=1) & 421139.852245345 & Range & 4172 & Trim Var. & 247668.115646258 \tabularnewline
V(Y[t],d=3,D=1) & 1413906.43259424 & Range & 7237 & Trim Var. & 803621.750722207 \tabularnewline
V(Y[t],d=0,D=2) & 163835.286683209 & Range & 2209 & Trim Var. & 96782.9350462487 \tabularnewline
V(Y[t],d=1,D=2) & 309237.711520737 & Range & 3554 & Trim Var. & 181837.332499218 \tabularnewline
V(Y[t],d=2,D=2) & 957771.706137 & Range & 5981 & Trim Var. & 533716.963292077 \tabularnewline
V(Y[t],d=3,D=2) & 3199800.09941520 & Range & 11266 & Trim Var. & 1790921.13396307 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105332&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]69573.8837988827[/C][C]Range[/C][C]1413[/C][C]Trim Var.[/C][C]43154.7427727935[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]129645.207394388[/C][C]Range[/C][C]1891[/C][C]Trim Var.[/C][C]76254.0319099379[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]414910.930394211[/C][C]Range[/C][C]3139[/C][C]Trim Var.[/C][C]250078.582350629[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]1411003.98484848[/C][C]Range[/C][C]5850[/C][C]Trim Var.[/C][C]885725.873258498[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]72151.2052680354[/C][C]Range[/C][C]1561[/C][C]Trim Var.[/C][C]44838.3744519016[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]134586.966957651[/C][C]Range[/C][C]2153[/C][C]Trim Var.[/C][C]80128.5506076546[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]421139.852245345[/C][C]Range[/C][C]4172[/C][C]Trim Var.[/C][C]247668.115646258[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]1413906.43259424[/C][C]Range[/C][C]7237[/C][C]Trim Var.[/C][C]803621.750722207[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]163835.286683209[/C][C]Range[/C][C]2209[/C][C]Trim Var.[/C][C]96782.9350462487[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]309237.711520737[/C][C]Range[/C][C]3554[/C][C]Trim Var.[/C][C]181837.332499218[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]957771.706137[/C][C]Range[/C][C]5981[/C][C]Trim Var.[/C][C]533716.963292077[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]3199800.09941520[/C][C]Range[/C][C]11266[/C][C]Trim Var.[/C][C]1790921.13396307[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105332&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105332&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)	69573.8837988827	Range	1413	Trim Var.	43154.7427727935
V(Y[t],d=1,D=0)	129645.207394388	Range	1891	Trim Var.	76254.0319099379
V(Y[t],d=2,D=0)	414910.930394211	Range	3139	Trim Var.	250078.582350629
V(Y[t],d=3,D=0)	1411003.98484848	Range	5850	Trim Var.	885725.873258498
V(Y[t],d=0,D=1)	72151.2052680354	Range	1561	Trim Var.	44838.3744519016
V(Y[t],d=1,D=1)	134586.966957651	Range	2153	Trim Var.	80128.5506076546
V(Y[t],d=2,D=1)	421139.852245345	Range	4172	Trim Var.	247668.115646258
V(Y[t],d=3,D=1)	1413906.43259424	Range	7237	Trim Var.	803621.750722207
V(Y[t],d=0,D=2)	163835.286683209	Range	2209	Trim Var.	96782.9350462487
V(Y[t],d=1,D=2)	309237.711520737	Range	3554	Trim Var.	181837.332499218
V(Y[t],d=2,D=2)	957771.706137	Range	5981	Trim Var.	533716.963292077
V(Y[t],d=3,D=2)	3199800.09941520	Range	11266	Trim Var.	1790921.13396307

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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