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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

Thu, 18 Dec 2008 05:50:31 -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/2008/Dec/18/t1229604696h2jp9x0uvgq2mik.htm/, Retrieved Sat, 11 May 2024 16:07:47 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=34724, Retrieved Sat, 11 May 2024 16:07:47 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

144

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

-       [Variance Reduction Matrix] [VRM < 20 jaar] [2008-12-18 12:50:31] [4e8974eee929007194de34cbeefcb780] [Current]
-   P     [Variance Reduction Matrix] [VRM < 20 jaar goede] [2008-12-18 12:58:18] [631938996a408f8d8cf3d9850ca0cd03] 
-    D      [Variance Reduction Matrix] [VRM 20-25] [2008-12-18 13:08:54] [631938996a408f8d8cf3d9850ca0cd03] 
- RMP       [Spectral Analysis] [SPA < 20j] [2008-12-18 13:25:54] [631938996a408f8d8cf3d9850ca0cd03] 
- RMP       [Spectral Analysis] [SPA < 20j met d=1] [2008-12-18 13:40:08] [631938996a408f8d8cf3d9850ca0cd03] 
- RMP       [Spectral Analysis] [SPA < 20j met d=1...] [2008-12-18 13:57:06] [631938996a408f8d8cf3d9850ca0cd03] 
- RMPD      [Spectral Analysis] [spa 20-25j] [2008-12-18 14:07:41] [631938996a408f8d8cf3d9850ca0cd03] 
- RMPD      [Spectral Analysis] [spa 20-25j met d=1] [2008-12-18 14:16:32] [631938996a408f8d8cf3d9850ca0cd03] 
- RMPD      [Spectral Analysis] [spa 20-25j met d=...] [2008-12-18 14:21:11] [631938996a408f8d8cf3d9850ca0cd03] 

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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=34724&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=34724&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34724&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)	6760224.55959384	Range	10781	Trim Var.	4825846.91554171
V(Y[t],d=1,D=0)	3066710.09670987	Range	8252	Trim Var.	1500778.38511726
V(Y[t],d=2,D=0)	4257803.12212082	Range	11092	Trim Var.	1842785.17484277
V(Y[t],d=3,D=0)	10024770.9868848	Range	15954	Trim Var.	4283153.65567766
V(Y[t],d=0,D=1)	3066710.09670987	Range	8252	Trim Var.	1500778.38511726
V(Y[t],d=1,D=1)	4257803.12212082	Range	11092	Trim Var.	1842785.17484277
V(Y[t],d=2,D=1)	10024770.9868848	Range	15954	Trim Var.	4283153.65567766
V(Y[t],d=3,D=1)	30093214.5975262	Range	30410	Trim Var.	11560764.3401792
V(Y[t],d=0,D=2)	4257803.12212082	Range	11092	Trim Var.	1842785.17484277
V(Y[t],d=1,D=2)	10024770.9868848	Range	15954	Trim Var.	4283153.65567766
V(Y[t],d=2,D=2)	30093214.5975262	Range	30410	Trim Var.	11560764.3401792
V(Y[t],d=3,D=2)	100759665.891228	Range	49867	Trim Var.	47351566.0561584

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 6760224.55959384 & Range & 10781 & Trim Var. & 4825846.91554171 \tabularnewline
V(Y[t],d=1,D=0) & 3066710.09670987 & Range & 8252 & Trim Var. & 1500778.38511726 \tabularnewline
V(Y[t],d=2,D=0) & 4257803.12212082 & Range & 11092 & Trim Var. & 1842785.17484277 \tabularnewline
V(Y[t],d=3,D=0) & 10024770.9868848 & Range & 15954 & Trim Var. & 4283153.65567766 \tabularnewline
V(Y[t],d=0,D=1) & 3066710.09670987 & Range & 8252 & Trim Var. & 1500778.38511726 \tabularnewline
V(Y[t],d=1,D=1) & 4257803.12212082 & Range & 11092 & Trim Var. & 1842785.17484277 \tabularnewline
V(Y[t],d=2,D=1) & 10024770.9868848 & Range & 15954 & Trim Var. & 4283153.65567766 \tabularnewline
V(Y[t],d=3,D=1) & 30093214.5975262 & Range & 30410 & Trim Var. & 11560764.3401792 \tabularnewline
V(Y[t],d=0,D=2) & 4257803.12212082 & Range & 11092 & Trim Var. & 1842785.17484277 \tabularnewline
V(Y[t],d=1,D=2) & 10024770.9868848 & Range & 15954 & Trim Var. & 4283153.65567766 \tabularnewline
V(Y[t],d=2,D=2) & 30093214.5975262 & Range & 30410 & Trim Var. & 11560764.3401792 \tabularnewline
V(Y[t],d=3,D=2) & 100759665.891228 & Range & 49867 & Trim Var. & 47351566.0561584 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34724&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]6760224.55959384[/C][C]Range[/C][C]10781[/C][C]Trim Var.[/C][C]4825846.91554171[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]3066710.09670987[/C][C]Range[/C][C]8252[/C][C]Trim Var.[/C][C]1500778.38511726[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]4257803.12212082[/C][C]Range[/C][C]11092[/C][C]Trim Var.[/C][C]1842785.17484277[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]10024770.9868848[/C][C]Range[/C][C]15954[/C][C]Trim Var.[/C][C]4283153.65567766[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]3066710.09670987[/C][C]Range[/C][C]8252[/C][C]Trim Var.[/C][C]1500778.38511726[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]4257803.12212082[/C][C]Range[/C][C]11092[/C][C]Trim Var.[/C][C]1842785.17484277[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]10024770.9868848[/C][C]Range[/C][C]15954[/C][C]Trim Var.[/C][C]4283153.65567766[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]30093214.5975262[/C][C]Range[/C][C]30410[/C][C]Trim Var.[/C][C]11560764.3401792[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]4257803.12212082[/C][C]Range[/C][C]11092[/C][C]Trim Var.[/C][C]1842785.17484277[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]10024770.9868848[/C][C]Range[/C][C]15954[/C][C]Trim Var.[/C][C]4283153.65567766[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]30093214.5975262[/C][C]Range[/C][C]30410[/C][C]Trim Var.[/C][C]11560764.3401792[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]100759665.891228[/C][C]Range[/C][C]49867[/C][C]Trim Var.[/C][C]47351566.0561584[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34724&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34724&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)	6760224.55959384	Range	10781	Trim Var.	4825846.91554171
V(Y[t],d=1,D=0)	3066710.09670987	Range	8252	Trim Var.	1500778.38511726
V(Y[t],d=2,D=0)	4257803.12212082	Range	11092	Trim Var.	1842785.17484277
V(Y[t],d=3,D=0)	10024770.9868848	Range	15954	Trim Var.	4283153.65567766
V(Y[t],d=0,D=1)	3066710.09670987	Range	8252	Trim Var.	1500778.38511726
V(Y[t],d=1,D=1)	4257803.12212082	Range	11092	Trim Var.	1842785.17484277
V(Y[t],d=2,D=1)	10024770.9868848	Range	15954	Trim Var.	4283153.65567766
V(Y[t],d=3,D=1)	30093214.5975262	Range	30410	Trim Var.	11560764.3401792
V(Y[t],d=0,D=2)	4257803.12212082	Range	11092	Trim Var.	1842785.17484277
V(Y[t],d=1,D=2)	10024770.9868848	Range	15954	Trim Var.	4283153.65567766
V(Y[t],d=2,D=2)	30093214.5975262	Range	30410	Trim Var.	11560764.3401792
V(Y[t],d=3,D=2)	100759665.891228	Range	49867	Trim Var.	47351566.0561584

Parameters (Session):

par1 = 1 ;

Parameters (R input):

par1 = 1 ;

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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