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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

Fri, 02 Dec 2011 08:44:46 -0500

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/2011/Dec/02/t1322833498igi9d9dsit6s2li.htm/, Retrieved Mon, 29 Apr 2024 05:50:01 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=150196, Retrieved Mon, 29 Apr 2024 05:50:01 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

107

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]
- R PD    [Variance Reduction Matrix] [WS9] [2011-12-02 13:44:46] [7a9891c1925ad1e8ddfe52b8c5887b5b] [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	0 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net

\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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150196&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150196&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150196&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	0 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net

Variance Reduction Matrix
V(Y[t],d=0,D=0)	170605612.574297	Range	63884	Trim Var.	67098157.7993336
V(Y[t],d=1,D=0)	389285300.254481	Range	97147	Trim Var.	127814802.023212
V(Y[t],d=2,D=0)	1244034161.16652	Range	184273	Trim Var.	399466933.549296
V(Y[t],d=3,D=0)	4339437030.58179	Range	321036	Trim Var.	1723710194.34849
V(Y[t],d=0,D=1)	25704886.6917058	Range	24671	Trim Var.	14674584.0910218
V(Y[t],d=1,D=1)	20761363.8507042	Range	23054	Trim Var.	11894447.2396313
V(Y[t],d=2,D=1)	60661978.9763975	Range	43492	Trim Var.	32321627.6618191
V(Y[t],d=3,D=1)	198208655.869991	Range	74118	Trim Var.	109450311.779235
V(Y[t],d=0,D=2)	45980346.0844633	Range	35326	Trim Var.	26210427.8927324
V(Y[t],d=1,D=2)	52064058.5032145	Range	30762	Trim Var.	36195202.5217707
V(Y[t],d=2,D=2)	146457407.568058	Range	56949	Trim Var.	96719151.596908
V(Y[t],d=3,D=2)	451119327.572055	Range	91911	Trim Var.	309232478.979608

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 170605612.574297 & Range & 63884 & Trim Var. & 67098157.7993336 \tabularnewline
V(Y[t],d=1,D=0) & 389285300.254481 & Range & 97147 & Trim Var. & 127814802.023212 \tabularnewline
V(Y[t],d=2,D=0) & 1244034161.16652 & Range & 184273 & Trim Var. & 399466933.549296 \tabularnewline
V(Y[t],d=3,D=0) & 4339437030.58179 & Range & 321036 & Trim Var. & 1723710194.34849 \tabularnewline
V(Y[t],d=0,D=1) & 25704886.6917058 & Range & 24671 & Trim Var. & 14674584.0910218 \tabularnewline
V(Y[t],d=1,D=1) & 20761363.8507042 & Range & 23054 & Trim Var. & 11894447.2396313 \tabularnewline
V(Y[t],d=2,D=1) & 60661978.9763975 & Range & 43492 & Trim Var. & 32321627.6618191 \tabularnewline
V(Y[t],d=3,D=1) & 198208655.869991 & Range & 74118 & Trim Var. & 109450311.779235 \tabularnewline
V(Y[t],d=0,D=2) & 45980346.0844633 & Range & 35326 & Trim Var. & 26210427.8927324 \tabularnewline
V(Y[t],d=1,D=2) & 52064058.5032145 & Range & 30762 & Trim Var. & 36195202.5217707 \tabularnewline
V(Y[t],d=2,D=2) & 146457407.568058 & Range & 56949 & Trim Var. & 96719151.596908 \tabularnewline
V(Y[t],d=3,D=2) & 451119327.572055 & Range & 91911 & Trim Var. & 309232478.979608 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150196&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]170605612.574297[/C][C]Range[/C][C]63884[/C][C]Trim Var.[/C][C]67098157.7993336[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]389285300.254481[/C][C]Range[/C][C]97147[/C][C]Trim Var.[/C][C]127814802.023212[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]1244034161.16652[/C][C]Range[/C][C]184273[/C][C]Trim Var.[/C][C]399466933.549296[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]4339437030.58179[/C][C]Range[/C][C]321036[/C][C]Trim Var.[/C][C]1723710194.34849[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]25704886.6917058[/C][C]Range[/C][C]24671[/C][C]Trim Var.[/C][C]14674584.0910218[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]20761363.8507042[/C][C]Range[/C][C]23054[/C][C]Trim Var.[/C][C]11894447.2396313[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]60661978.9763975[/C][C]Range[/C][C]43492[/C][C]Trim Var.[/C][C]32321627.6618191[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]198208655.869991[/C][C]Range[/C][C]74118[/C][C]Trim Var.[/C][C]109450311.779235[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]45980346.0844633[/C][C]Range[/C][C]35326[/C][C]Trim Var.[/C][C]26210427.8927324[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]52064058.5032145[/C][C]Range[/C][C]30762[/C][C]Trim Var.[/C][C]36195202.5217707[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]146457407.568058[/C][C]Range[/C][C]56949[/C][C]Trim Var.[/C][C]96719151.596908[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]451119327.572055[/C][C]Range[/C][C]91911[/C][C]Trim Var.[/C][C]309232478.979608[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150196&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150196&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)	170605612.574297	Range	63884	Trim Var.	67098157.7993336
V(Y[t],d=1,D=0)	389285300.254481	Range	97147	Trim Var.	127814802.023212
V(Y[t],d=2,D=0)	1244034161.16652	Range	184273	Trim Var.	399466933.549296
V(Y[t],d=3,D=0)	4339437030.58179	Range	321036	Trim Var.	1723710194.34849
V(Y[t],d=0,D=1)	25704886.6917058	Range	24671	Trim Var.	14674584.0910218
V(Y[t],d=1,D=1)	20761363.8507042	Range	23054	Trim Var.	11894447.2396313
V(Y[t],d=2,D=1)	60661978.9763975	Range	43492	Trim Var.	32321627.6618191
V(Y[t],d=3,D=1)	198208655.869991	Range	74118	Trim Var.	109450311.779235
V(Y[t],d=0,D=2)	45980346.0844633	Range	35326	Trim Var.	26210427.8927324
V(Y[t],d=1,D=2)	52064058.5032145	Range	30762	Trim Var.	36195202.5217707
V(Y[t],d=2,D=2)	146457407.568058	Range	56949	Trim Var.	96719151.596908
V(Y[t],d=3,D=2)	451119327.572055	Range	91911	Trim Var.	309232478.979608

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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