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Author

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R Software Module

rwasp_variancereduction.wasp

Title produced by software

Variance Reduction Matrix

Date of computation

Mon, 05 Dec 2011 14:40:14 -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/05/t1323114025vnjebvnyi46gp6d.htm/, Retrieved Fri, 03 May 2024 06:37:42 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=151213, Retrieved Fri, 03 May 2024 06:37:42 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

116

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]
- R PD          [Variance Reduction Matrix] [WS9 3.3 VRM matrix  ] [2010-12-07 10:25:28] [afe9379cca749d06b3d6872e02cc47ed]
- R PD              [Variance Reduction Matrix] [ws9-7] [2011-12-05 19:40:14] [47995d3a8fac585eeb070a274b466f8c] [Current]
-  MP                 [Variance Reduction Matrix] [paper2-7] [2011-12-21 20:52:59] [f7a862281046b7153543b12c78921b36] 

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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=151213&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=151213&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151213&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)	115197.114124294	Range	1535	Trim Var.	71506.4975541579
V(Y[t],d=1,D=0)	247637.976621859	Range	2064	Trim Var.	175422.771407837
V(Y[t],d=2,D=0)	829882.630369026	Range	3412	Trim Var.	615118.368024133
V(Y[t],d=3,D=0)	2981135.04135338	Range	6590	Trim Var.	2267650.70352941
V(Y[t],d=0,D=1)	40611.7761524823	Range	936	Trim Var.	21432.2833914053
V(Y[t],d=1,D=1)	97497.0740055504	Range	1537	Trim Var.	47631.9597560976
V(Y[t],d=2,D=1)	311362.402415459	Range	3073	Trim Var.	126476.079487179
V(Y[t],d=3,D=1)	1054821.49494949	Range	5928	Trim Var.	389519.851551957
V(Y[t],d=0,D=2)	66276.5428571429	Range	1078	Trim Var.	44507.9747983871
V(Y[t],d=1,D=2)	145191.929411765	Range	1707	Trim Var.	86223.9161290323
V(Y[t],d=2,D=2)	441530.998217469	Range	3264	Trim Var.	219189.636781609
V(Y[t],d=3,D=2)	1518836.65530303	Range	6173	Trim Var.	630938.544334975

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 115197.114124294 & Range & 1535 & Trim Var. & 71506.4975541579 \tabularnewline
V(Y[t],d=1,D=0) & 247637.976621859 & Range & 2064 & Trim Var. & 175422.771407837 \tabularnewline
V(Y[t],d=2,D=0) & 829882.630369026 & Range & 3412 & Trim Var. & 615118.368024133 \tabularnewline
V(Y[t],d=3,D=0) & 2981135.04135338 & Range & 6590 & Trim Var. & 2267650.70352941 \tabularnewline
V(Y[t],d=0,D=1) & 40611.7761524823 & Range & 936 & Trim Var. & 21432.2833914053 \tabularnewline
V(Y[t],d=1,D=1) & 97497.0740055504 & Range & 1537 & Trim Var. & 47631.9597560976 \tabularnewline
V(Y[t],d=2,D=1) & 311362.402415459 & Range & 3073 & Trim Var. & 126476.079487179 \tabularnewline
V(Y[t],d=3,D=1) & 1054821.49494949 & Range & 5928 & Trim Var. & 389519.851551957 \tabularnewline
V(Y[t],d=0,D=2) & 66276.5428571429 & Range & 1078 & Trim Var. & 44507.9747983871 \tabularnewline
V(Y[t],d=1,D=2) & 145191.929411765 & Range & 1707 & Trim Var. & 86223.9161290323 \tabularnewline
V(Y[t],d=2,D=2) & 441530.998217469 & Range & 3264 & Trim Var. & 219189.636781609 \tabularnewline
V(Y[t],d=3,D=2) & 1518836.65530303 & Range & 6173 & Trim Var. & 630938.544334975 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151213&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]115197.114124294[/C][C]Range[/C][C]1535[/C][C]Trim Var.[/C][C]71506.4975541579[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]247637.976621859[/C][C]Range[/C][C]2064[/C][C]Trim Var.[/C][C]175422.771407837[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]829882.630369026[/C][C]Range[/C][C]3412[/C][C]Trim Var.[/C][C]615118.368024133[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]2981135.04135338[/C][C]Range[/C][C]6590[/C][C]Trim Var.[/C][C]2267650.70352941[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]40611.7761524823[/C][C]Range[/C][C]936[/C][C]Trim Var.[/C][C]21432.2833914053[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]97497.0740055504[/C][C]Range[/C][C]1537[/C][C]Trim Var.[/C][C]47631.9597560976[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]311362.402415459[/C][C]Range[/C][C]3073[/C][C]Trim Var.[/C][C]126476.079487179[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]1054821.49494949[/C][C]Range[/C][C]5928[/C][C]Trim Var.[/C][C]389519.851551957[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]66276.5428571429[/C][C]Range[/C][C]1078[/C][C]Trim Var.[/C][C]44507.9747983871[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]145191.929411765[/C][C]Range[/C][C]1707[/C][C]Trim Var.[/C][C]86223.9161290323[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]441530.998217469[/C][C]Range[/C][C]3264[/C][C]Trim Var.[/C][C]219189.636781609[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]1518836.65530303[/C][C]Range[/C][C]6173[/C][C]Trim Var.[/C][C]630938.544334975[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151213&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151213&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)	115197.114124294	Range	1535	Trim Var.	71506.4975541579
V(Y[t],d=1,D=0)	247637.976621859	Range	2064	Trim Var.	175422.771407837
V(Y[t],d=2,D=0)	829882.630369026	Range	3412	Trim Var.	615118.368024133
V(Y[t],d=3,D=0)	2981135.04135338	Range	6590	Trim Var.	2267650.70352941
V(Y[t],d=0,D=1)	40611.7761524823	Range	936	Trim Var.	21432.2833914053
V(Y[t],d=1,D=1)	97497.0740055504	Range	1537	Trim Var.	47631.9597560976
V(Y[t],d=2,D=1)	311362.402415459	Range	3073	Trim Var.	126476.079487179
V(Y[t],d=3,D=1)	1054821.49494949	Range	5928	Trim Var.	389519.851551957
V(Y[t],d=0,D=2)	66276.5428571429	Range	1078	Trim Var.	44507.9747983871
V(Y[t],d=1,D=2)	145191.929411765	Range	1707	Trim Var.	86223.9161290323
V(Y[t],d=2,D=2)	441530.998217469	Range	3264	Trim Var.	219189.636781609
V(Y[t],d=3,D=2)	1518836.65530303	Range	6173	Trim Var.	630938.544334975

Parameters (Session):

par1 = 1 ; par2 = 0 ; par3 = 1 ; par4 = 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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