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Author's title

Author

*Unverified author*

R Software Module

rwasp_variancereduction.wasp

Title produced by software

Variance Reduction Matrix

Date of computation

Mon, 15 Dec 2008 08:09:45 -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/t122935400599fedt9lmm6pzyb.htm/, Retrieved Wed, 15 May 2024 04:37:08 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=33706, Retrieved Wed, 15 May 2024 04:37:08 +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] [] [2008-12-15 15:09:45] [e02910eed3830f1815f587e12f46cbdb] [Current]

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6.3
6.1
6.1
6.3
6.3
6
6.2
6.4
6.8
7.5
7.5
7.6
7.6
7.4
7.3
7.1
6.9
6.8
7.5
7.6
7.8
8
8.1
8.2
8.3
8.2
8
7.9
7.6
7.6
8.2
8.3
8.4
8.4
8.4
8.6
8.9
8.8
8.3
7.5
7.2
7.5
8.8
9.3
9.3
8.7
8.2
8.3
8.5
8.6
8.6
8.2
8.1
8
8.6
8.7
8.8
8.5
8.4
8.5
8.7

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33706&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]2 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=33706&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33706&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	2 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Variance Reduction Matrix
V(Y[t],d=0,D=0)	0.72712568306011	Range	3.3	Trim Var.	0.466901960784314
V(Y[t],d=1,D=0)	0.112271186440678	Range	2.1	Trim Var.	0.0474383164005805
V(Y[t],d=2,D=0)	0.137194623027469	Range	1.8	Trim Var.	0.0834615384615385
V(Y[t],d=3,D=0)	0.294558378705385	Range	2.60000000000000	Trim Var.	0.160011312217195
V(Y[t],d=0,D=1)	0.259506802721089	Range	1.90000000000000	Trim Var.	0.16527293844367
V(Y[t],d=1,D=1)	0.0954210992907803	Range	1.40000000000000	Trim Var.	0.0527990708478513
V(Y[t],d=2,D=1)	0.0986956521739133	Range	1.30000000000000	Trim Var.	0.0617439024390246
V(Y[t],d=3,D=1)	0.171328502415460	Range	2.00000000000000	Trim Var.	0.0907435897435903
V(Y[t],d=0,D=2)	0.411696696696697	Range	2.9	Trim Var.	0.232159090909091
V(Y[t],d=1,D=2)	0.270285714285715	Range	2.50000000000000	Trim Var.	0.155443548387097
V(Y[t],d=2,D=2)	0.264705882352942	Range	1.90000000000000	Trim Var.	0.185655913978496
V(Y[t],d=3,D=2)	0.450597147950092	Range	2.70000000000001	Trim Var.	0.292471264367818

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 0.72712568306011 & Range & 3.3 & Trim Var. & 0.466901960784314 \tabularnewline
V(Y[t],d=1,D=0) & 0.112271186440678 & Range & 2.1 & Trim Var. & 0.0474383164005805 \tabularnewline
V(Y[t],d=2,D=0) & 0.137194623027469 & Range & 1.8 & Trim Var. & 0.0834615384615385 \tabularnewline
V(Y[t],d=3,D=0) & 0.294558378705385 & Range & 2.60000000000000 & Trim Var. & 0.160011312217195 \tabularnewline
V(Y[t],d=0,D=1) & 0.259506802721089 & Range & 1.90000000000000 & Trim Var. & 0.16527293844367 \tabularnewline
V(Y[t],d=1,D=1) & 0.0954210992907803 & Range & 1.40000000000000 & Trim Var. & 0.0527990708478513 \tabularnewline
V(Y[t],d=2,D=1) & 0.0986956521739133 & Range & 1.30000000000000 & Trim Var. & 0.0617439024390246 \tabularnewline
V(Y[t],d=3,D=1) & 0.171328502415460 & Range & 2.00000000000000 & Trim Var. & 0.0907435897435903 \tabularnewline
V(Y[t],d=0,D=2) & 0.411696696696697 & Range & 2.9 & Trim Var. & 0.232159090909091 \tabularnewline
V(Y[t],d=1,D=2) & 0.270285714285715 & Range & 2.50000000000000 & Trim Var. & 0.155443548387097 \tabularnewline
V(Y[t],d=2,D=2) & 0.264705882352942 & Range & 1.90000000000000 & Trim Var. & 0.185655913978496 \tabularnewline
V(Y[t],d=3,D=2) & 0.450597147950092 & Range & 2.70000000000001 & Trim Var. & 0.292471264367818 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33706&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]0.72712568306011[/C][C]Range[/C][C]3.3[/C][C]Trim Var.[/C][C]0.466901960784314[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.112271186440678[/C][C]Range[/C][C]2.1[/C][C]Trim Var.[/C][C]0.0474383164005805[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]0.137194623027469[/C][C]Range[/C][C]1.8[/C][C]Trim Var.[/C][C]0.0834615384615385[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]0.294558378705385[/C][C]Range[/C][C]2.60000000000000[/C][C]Trim Var.[/C][C]0.160011312217195[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]0.259506802721089[/C][C]Range[/C][C]1.90000000000000[/C][C]Trim Var.[/C][C]0.16527293844367[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]0.0954210992907803[/C][C]Range[/C][C]1.40000000000000[/C][C]Trim Var.[/C][C]0.0527990708478513[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]0.0986956521739133[/C][C]Range[/C][C]1.30000000000000[/C][C]Trim Var.[/C][C]0.0617439024390246[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]0.171328502415460[/C][C]Range[/C][C]2.00000000000000[/C][C]Trim Var.[/C][C]0.0907435897435903[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]0.411696696696697[/C][C]Range[/C][C]2.9[/C][C]Trim Var.[/C][C]0.232159090909091[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]0.270285714285715[/C][C]Range[/C][C]2.50000000000000[/C][C]Trim Var.[/C][C]0.155443548387097[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]0.264705882352942[/C][C]Range[/C][C]1.90000000000000[/C][C]Trim Var.[/C][C]0.185655913978496[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]0.450597147950092[/C][C]Range[/C][C]2.70000000000001[/C][C]Trim Var.[/C][C]0.292471264367818[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33706&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33706&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)	0.72712568306011	Range	3.3	Trim Var.	0.466901960784314
V(Y[t],d=1,D=0)	0.112271186440678	Range	2.1	Trim Var.	0.0474383164005805
V(Y[t],d=2,D=0)	0.137194623027469	Range	1.8	Trim Var.	0.0834615384615385
V(Y[t],d=3,D=0)	0.294558378705385	Range	2.60000000000000	Trim Var.	0.160011312217195
V(Y[t],d=0,D=1)	0.259506802721089	Range	1.90000000000000	Trim Var.	0.16527293844367
V(Y[t],d=1,D=1)	0.0954210992907803	Range	1.40000000000000	Trim Var.	0.0527990708478513
V(Y[t],d=2,D=1)	0.0986956521739133	Range	1.30000000000000	Trim Var.	0.0617439024390246
V(Y[t],d=3,D=1)	0.171328502415460	Range	2.00000000000000	Trim Var.	0.0907435897435903
V(Y[t],d=0,D=2)	0.411696696696697	Range	2.9	Trim Var.	0.232159090909091
V(Y[t],d=1,D=2)	0.270285714285715	Range	2.50000000000000	Trim Var.	0.155443548387097
V(Y[t],d=2,D=2)	0.264705882352942	Range	1.90000000000000	Trim Var.	0.185655913978496
V(Y[t],d=3,D=2)	0.450597147950092	Range	2.70000000000001	Trim Var.	0.292471264367818

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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