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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

Mon, 15 Dec 2008 03:48:47 -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/15/t1229338152r19u24m7efew452.htm/, Retrieved Thu, 16 May 2024 00:31:09 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=33657, Retrieved Thu, 16 May 2024 00:31:09 +0000

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IsPrivate?

No (this computation is public)

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Estimated Impact

162

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

F       [Variance Reduction Matrix] [] [2008-12-15 10:48:47] [d41d8cd98f00b204e9800998ecf8427e] [Current]

Feedback Forum

2008-12-19 12:10:15 [006ad2c49b6a7c2ad6ab685cfc1dae56] [reply] 
De student heeft een foute berekening gemaakt. Het was de bedoeling dat jee een grafiek verkreeg. 
http://www.freestatistics.org/blog/index.php?v=date/2008/Dec/13/t1229200568x9fasiirnug8ibn.htm

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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	'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 & 0 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33657&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33657&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33657&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	'George Udny Yule' @ 72.249.76.132

Variance Reduction Matrix
V(Y[t],d=0,D=0)	73009845607.0158	Range	1344345	Trim Var.	44341572794.2879
V(Y[t],d=1,D=0)	106338603803.726	Range	1304948	Trim Var.	73641417417.5791
V(Y[t],d=2,D=0)	312976823785.641	Range	2123672	Trim Var.	226217898173.739
V(Y[t],d=3,D=0)	1018238841214.72	Range	4016180	Trim Var.	749299759031.094
V(Y[t],d=0,D=1)	126831762655.445	Range	2026616	Trim Var.	59245500537.7956
V(Y[t],d=1,D=1)	122590901839.902	Range	1369015	Trim Var.	81352277004.5378
V(Y[t],d=2,D=1)	308418957925.266	Range	2365900	Trim Var.	186250377009.638
V(Y[t],d=3,D=1)	935288745792.818	Range	3881717	Trim Var.	571460260767.115
V(Y[t],d=0,D=2)	403566910683.533	Range	3319283	Trim Var.	197789397032.738
V(Y[t],d=1,D=2)	341738670077.711	Range	2421937	Trim Var.	212789716612.789
V(Y[t],d=2,D=2)	790898655400.916	Range	3812054	Trim Var.	409288256189.007
V(Y[t],d=3,D=2)	2287469629404.13	Range	6563099	Trim Var.	1223650373050.83

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 73009845607.0158 & Range & 1344345 & Trim Var. & 44341572794.2879 \tabularnewline
V(Y[t],d=1,D=0) & 106338603803.726 & Range & 1304948 & Trim Var. & 73641417417.5791 \tabularnewline
V(Y[t],d=2,D=0) & 312976823785.641 & Range & 2123672 & Trim Var. & 226217898173.739 \tabularnewline
V(Y[t],d=3,D=0) & 1018238841214.72 & Range & 4016180 & Trim Var. & 749299759031.094 \tabularnewline
V(Y[t],d=0,D=1) & 126831762655.445 & Range & 2026616 & Trim Var. & 59245500537.7956 \tabularnewline
V(Y[t],d=1,D=1) & 122590901839.902 & Range & 1369015 & Trim Var. & 81352277004.5378 \tabularnewline
V(Y[t],d=2,D=1) & 308418957925.266 & Range & 2365900 & Trim Var. & 186250377009.638 \tabularnewline
V(Y[t],d=3,D=1) & 935288745792.818 & Range & 3881717 & Trim Var. & 571460260767.115 \tabularnewline
V(Y[t],d=0,D=2) & 403566910683.533 & Range & 3319283 & Trim Var. & 197789397032.738 \tabularnewline
V(Y[t],d=1,D=2) & 341738670077.711 & Range & 2421937 & Trim Var. & 212789716612.789 \tabularnewline
V(Y[t],d=2,D=2) & 790898655400.916 & Range & 3812054 & Trim Var. & 409288256189.007 \tabularnewline
V(Y[t],d=3,D=2) & 2287469629404.13 & Range & 6563099 & Trim Var. & 1223650373050.83 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33657&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]73009845607.0158[/C][C]Range[/C][C]1344345[/C][C]Trim Var.[/C][C]44341572794.2879[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]106338603803.726[/C][C]Range[/C][C]1304948[/C][C]Trim Var.[/C][C]73641417417.5791[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]312976823785.641[/C][C]Range[/C][C]2123672[/C][C]Trim Var.[/C][C]226217898173.739[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]1018238841214.72[/C][C]Range[/C][C]4016180[/C][C]Trim Var.[/C][C]749299759031.094[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]126831762655.445[/C][C]Range[/C][C]2026616[/C][C]Trim Var.[/C][C]59245500537.7956[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]122590901839.902[/C][C]Range[/C][C]1369015[/C][C]Trim Var.[/C][C]81352277004.5378[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]308418957925.266[/C][C]Range[/C][C]2365900[/C][C]Trim Var.[/C][C]186250377009.638[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]935288745792.818[/C][C]Range[/C][C]3881717[/C][C]Trim Var.[/C][C]571460260767.115[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]403566910683.533[/C][C]Range[/C][C]3319283[/C][C]Trim Var.[/C][C]197789397032.738[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]341738670077.711[/C][C]Range[/C][C]2421937[/C][C]Trim Var.[/C][C]212789716612.789[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]790898655400.916[/C][C]Range[/C][C]3812054[/C][C]Trim Var.[/C][C]409288256189.007[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]2287469629404.13[/C][C]Range[/C][C]6563099[/C][C]Trim Var.[/C][C]1223650373050.83[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33657&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33657&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)	73009845607.0158	Range	1344345	Trim Var.	44341572794.2879
V(Y[t],d=1,D=0)	106338603803.726	Range	1304948	Trim Var.	73641417417.5791
V(Y[t],d=2,D=0)	312976823785.641	Range	2123672	Trim Var.	226217898173.739
V(Y[t],d=3,D=0)	1018238841214.72	Range	4016180	Trim Var.	749299759031.094
V(Y[t],d=0,D=1)	126831762655.445	Range	2026616	Trim Var.	59245500537.7956
V(Y[t],d=1,D=1)	122590901839.902	Range	1369015	Trim Var.	81352277004.5378
V(Y[t],d=2,D=1)	308418957925.266	Range	2365900	Trim Var.	186250377009.638
V(Y[t],d=3,D=1)	935288745792.818	Range	3881717	Trim Var.	571460260767.115
V(Y[t],d=0,D=2)	403566910683.533	Range	3319283	Trim Var.	197789397032.738
V(Y[t],d=1,D=2)	341738670077.711	Range	2421937	Trim Var.	212789716612.789
V(Y[t],d=2,D=2)	790898655400.916	Range	3812054	Trim Var.	409288256189.007
V(Y[t],d=3,D=2)	2287469629404.13	Range	6563099	Trim Var.	1223650373050.83

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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Input Parameters & R Code