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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

Sat, 19 Dec 2009 10:02:02 -0700

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/2009/Dec/19/t1261242195y48nfd014vtauuf.htm/, Retrieved Sat, 04 May 2024 00:53:43 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=69704, Retrieved Sat, 04 May 2024 00:53:43 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

135

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

-     [Variance Reduction Matrix] [Variance Reductio...] [2008-12-21 15:47:07] [005278dde49cfd8c32bf201feaeb19d6]
-    D  [Variance Reduction Matrix] [Variance Reductio...] [2008-12-23 16:24:32] [005278dde49cfd8c32bf201feaeb19d6]
-  M D      [Variance Reduction Matrix] [Variance Reductio...] [2009-12-19 17:02:02] [986e3c28a4248c495afaef9fd432264f] [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	'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69704&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69704&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69704&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	'Gwilym Jenkins' @ 72.249.127.135

Variance Reduction Matrix
V(Y[t],d=0,D=0)	2427.42790113113	Range	198	Trim Var.	1769.88572620165
V(Y[t],d=1,D=0)	381.902257872846	Range	94	Trim Var.	204.426041219407
V(Y[t],d=2,D=0)	529.841417268662	Range	121	Trim Var.	253.648776298841
V(Y[t],d=3,D=0)	1179.78943011502	Range	179	Trim Var.	559.213888888889
V(Y[t],d=0,D=1)	1057.76755638727	Range	133	Trim Var.	756.329032258065
V(Y[t],d=1,D=1)	51.0344620916991	Range	41	Trim Var.	22.0244546809375
V(Y[t],d=2,D=1)	102.720972644377	Range	61	Trim Var.	48.848194055711
V(Y[t],d=3,D=1)	307.230010277492	Range	109	Trim Var.	168.194603174603
V(Y[t],d=0,D=2)	782.015502055197	Range	132	Trim Var.	504.786177424108
V(Y[t],d=1,D=2)	126.089683959451	Range	63	Trim Var.	58.2509703462195
V(Y[t],d=2,D=2)	260.808502906977	Range	93	Trim Var.	145.519950318274
V(Y[t],d=3,D=2)	763.466289370079	Range	136	Trim Var.	433.239559074678

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 2427.42790113113 & Range & 198 & Trim Var. & 1769.88572620165 \tabularnewline
V(Y[t],d=1,D=0) & 381.902257872846 & Range & 94 & Trim Var. & 204.426041219407 \tabularnewline
V(Y[t],d=2,D=0) & 529.841417268662 & Range & 121 & Trim Var. & 253.648776298841 \tabularnewline
V(Y[t],d=3,D=0) & 1179.78943011502 & Range & 179 & Trim Var. & 559.213888888889 \tabularnewline
V(Y[t],d=0,D=1) & 1057.76755638727 & Range & 133 & Trim Var. & 756.329032258065 \tabularnewline
V(Y[t],d=1,D=1) & 51.0344620916991 & Range & 41 & Trim Var. & 22.0244546809375 \tabularnewline
V(Y[t],d=2,D=1) & 102.720972644377 & Range & 61 & Trim Var. & 48.848194055711 \tabularnewline
V(Y[t],d=3,D=1) & 307.230010277492 & Range & 109 & Trim Var. & 168.194603174603 \tabularnewline
V(Y[t],d=0,D=2) & 782.015502055197 & Range & 132 & Trim Var. & 504.786177424108 \tabularnewline
V(Y[t],d=1,D=2) & 126.089683959451 & Range & 63 & Trim Var. & 58.2509703462195 \tabularnewline
V(Y[t],d=2,D=2) & 260.808502906977 & Range & 93 & Trim Var. & 145.519950318274 \tabularnewline
V(Y[t],d=3,D=2) & 763.466289370079 & Range & 136 & Trim Var. & 433.239559074678 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69704&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]2427.42790113113[/C][C]Range[/C][C]198[/C][C]Trim Var.[/C][C]1769.88572620165[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]381.902257872846[/C][C]Range[/C][C]94[/C][C]Trim Var.[/C][C]204.426041219407[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]529.841417268662[/C][C]Range[/C][C]121[/C][C]Trim Var.[/C][C]253.648776298841[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]1179.78943011502[/C][C]Range[/C][C]179[/C][C]Trim Var.[/C][C]559.213888888889[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]1057.76755638727[/C][C]Range[/C][C]133[/C][C]Trim Var.[/C][C]756.329032258065[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]51.0344620916991[/C][C]Range[/C][C]41[/C][C]Trim Var.[/C][C]22.0244546809375[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]102.720972644377[/C][C]Range[/C][C]61[/C][C]Trim Var.[/C][C]48.848194055711[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]307.230010277492[/C][C]Range[/C][C]109[/C][C]Trim Var.[/C][C]168.194603174603[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]782.015502055197[/C][C]Range[/C][C]132[/C][C]Trim Var.[/C][C]504.786177424108[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]126.089683959451[/C][C]Range[/C][C]63[/C][C]Trim Var.[/C][C]58.2509703462195[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]260.808502906977[/C][C]Range[/C][C]93[/C][C]Trim Var.[/C][C]145.519950318274[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]763.466289370079[/C][C]Range[/C][C]136[/C][C]Trim Var.[/C][C]433.239559074678[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69704&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69704&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)	2427.42790113113	Range	198	Trim Var.	1769.88572620165
V(Y[t],d=1,D=0)	381.902257872846	Range	94	Trim Var.	204.426041219407
V(Y[t],d=2,D=0)	529.841417268662	Range	121	Trim Var.	253.648776298841
V(Y[t],d=3,D=0)	1179.78943011502	Range	179	Trim Var.	559.213888888889
V(Y[t],d=0,D=1)	1057.76755638727	Range	133	Trim Var.	756.329032258065
V(Y[t],d=1,D=1)	51.0344620916991	Range	41	Trim Var.	22.0244546809375
V(Y[t],d=2,D=1)	102.720972644377	Range	61	Trim Var.	48.848194055711
V(Y[t],d=3,D=1)	307.230010277492	Range	109	Trim Var.	168.194603174603
V(Y[t],d=0,D=2)	782.015502055197	Range	132	Trim Var.	504.786177424108
V(Y[t],d=1,D=2)	126.089683959451	Range	63	Trim Var.	58.2509703462195
V(Y[t],d=2,D=2)	260.808502906977	Range	93	Trim Var.	145.519950318274
V(Y[t],d=3,D=2)	763.466289370079	Range	136	Trim Var.	433.239559074678

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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