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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

Sun, 30 Nov 2008 09:00:59 -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/Nov/30/t12280608943n1pt4tmprmjn9i.htm/, Retrieved Sun, 19 May 2024 11:39:24 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=26584, Retrieved Sun, 19 May 2024 11:39:24 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

145

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

F     [Univariate Data Series] [Airline data] [2007-10-18 09:58:47] [42daae401fd3def69a25014f2252b4c2]
- RMPD    [Variance Reduction Matrix] [Taak 7 Q8] [2008-11-30 16:00:59] [bda7fba231d49184c6a1b627868bbb81] [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	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=26584&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=26584&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26584&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	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Variance Reduction Matrix
V(Y[t],d=0,D=0)	2461360578.58251	Range	174160	Trim Var.	1766731185.93759
V(Y[t],d=1,D=0)	325087074.604237	Range	94199	Trim Var.	140086123.864780
V(Y[t],d=2,D=0)	503739600.977206	Range	113195	Trim Var.	240494604.532656
V(Y[t],d=3,D=0)	1282581733.95644	Range	166876	Trim Var.	618458230.354072
V(Y[t],d=0,D=1)	353378484.492347	Range	63333	Trim Var.	275729120.923588
V(Y[t],d=1,D=1)	40974629.5248227	Range	37327	Trim Var.	17520436.0557491
V(Y[t],d=2,D=1)	70163305.6447734	Range	37971	Trim Var.	41962196.9951219
V(Y[t],d=3,D=1)	205287065.981159	Range	66256	Trim Var.	120931663.327564
V(Y[t],d=0,D=2)	347360119.924925	Range	90555	Trim Var.	158172996.454545
V(Y[t],d=1,D=2)	116514179.885714	Range	50652	Trim Var.	62841284.3135081
V(Y[t],d=2,D=2)	211007701.563025	Range	61173	Trim Var.	135945184.032258
V(Y[t],d=3,D=2)	622422479.241533	Range	95481	Trim Var.	433314046.602299

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 2461360578.58251 & Range & 174160 & Trim Var. & 1766731185.93759 \tabularnewline
V(Y[t],d=1,D=0) & 325087074.604237 & Range & 94199 & Trim Var. & 140086123.864780 \tabularnewline
V(Y[t],d=2,D=0) & 503739600.977206 & Range & 113195 & Trim Var. & 240494604.532656 \tabularnewline
V(Y[t],d=3,D=0) & 1282581733.95644 & Range & 166876 & Trim Var. & 618458230.354072 \tabularnewline
V(Y[t],d=0,D=1) & 353378484.492347 & Range & 63333 & Trim Var. & 275729120.923588 \tabularnewline
V(Y[t],d=1,D=1) & 40974629.5248227 & Range & 37327 & Trim Var. & 17520436.0557491 \tabularnewline
V(Y[t],d=2,D=1) & 70163305.6447734 & Range & 37971 & Trim Var. & 41962196.9951219 \tabularnewline
V(Y[t],d=3,D=1) & 205287065.981159 & Range & 66256 & Trim Var. & 120931663.327564 \tabularnewline
V(Y[t],d=0,D=2) & 347360119.924925 & Range & 90555 & Trim Var. & 158172996.454545 \tabularnewline
V(Y[t],d=1,D=2) & 116514179.885714 & Range & 50652 & Trim Var. & 62841284.3135081 \tabularnewline
V(Y[t],d=2,D=2) & 211007701.563025 & Range & 61173 & Trim Var. & 135945184.032258 \tabularnewline
V(Y[t],d=3,D=2) & 622422479.241533 & Range & 95481 & Trim Var. & 433314046.602299 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=26584&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]2461360578.58251[/C][C]Range[/C][C]174160[/C][C]Trim Var.[/C][C]1766731185.93759[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]325087074.604237[/C][C]Range[/C][C]94199[/C][C]Trim Var.[/C][C]140086123.864780[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]503739600.977206[/C][C]Range[/C][C]113195[/C][C]Trim Var.[/C][C]240494604.532656[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]1282581733.95644[/C][C]Range[/C][C]166876[/C][C]Trim Var.[/C][C]618458230.354072[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]353378484.492347[/C][C]Range[/C][C]63333[/C][C]Trim Var.[/C][C]275729120.923588[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]40974629.5248227[/C][C]Range[/C][C]37327[/C][C]Trim Var.[/C][C]17520436.0557491[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]70163305.6447734[/C][C]Range[/C][C]37971[/C][C]Trim Var.[/C][C]41962196.9951219[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]205287065.981159[/C][C]Range[/C][C]66256[/C][C]Trim Var.[/C][C]120931663.327564[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]347360119.924925[/C][C]Range[/C][C]90555[/C][C]Trim Var.[/C][C]158172996.454545[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]116514179.885714[/C][C]Range[/C][C]50652[/C][C]Trim Var.[/C][C]62841284.3135081[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]211007701.563025[/C][C]Range[/C][C]61173[/C][C]Trim Var.[/C][C]135945184.032258[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]622422479.241533[/C][C]Range[/C][C]95481[/C][C]Trim Var.[/C][C]433314046.602299[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=26584&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26584&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)	2461360578.58251	Range	174160	Trim Var.	1766731185.93759
V(Y[t],d=1,D=0)	325087074.604237	Range	94199	Trim Var.	140086123.864780
V(Y[t],d=2,D=0)	503739600.977206	Range	113195	Trim Var.	240494604.532656
V(Y[t],d=3,D=0)	1282581733.95644	Range	166876	Trim Var.	618458230.354072
V(Y[t],d=0,D=1)	353378484.492347	Range	63333	Trim Var.	275729120.923588
V(Y[t],d=1,D=1)	40974629.5248227	Range	37327	Trim Var.	17520436.0557491
V(Y[t],d=2,D=1)	70163305.6447734	Range	37971	Trim Var.	41962196.9951219
V(Y[t],d=3,D=1)	205287065.981159	Range	66256	Trim Var.	120931663.327564
V(Y[t],d=0,D=2)	347360119.924925	Range	90555	Trim Var.	158172996.454545
V(Y[t],d=1,D=2)	116514179.885714	Range	50652	Trim Var.	62841284.3135081
V(Y[t],d=2,D=2)	211007701.563025	Range	61173	Trim Var.	135945184.032258
V(Y[t],d=3,D=2)	622422479.241533	Range	95481	Trim Var.	433314046.602299

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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