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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

Mon, 01 Dec 2008 09:35:50 -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/01/t1228149389ztos4k2nahgs0eq.htm/, Retrieved Sun, 05 May 2024 10:46:35 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=26977, Retrieved Sun, 05 May 2024 10:46:35 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

224

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]
F RMPD  [Variance Reduction Matrix] [q6 ] [2008-12-01 11:04:44] [e43247bc0ab243a5af99ac7f55ba0b41]
F    D      [Variance Reduction Matrix] [variance q8] [2008-12-01 16:35:50] [f24298b2e4c2a19d76cf4460ec5d2246] [Current]

Feedback Forum

2008-12-08 17:28:35 [Lindsay Heyndrickx] [reply] 
Dit werd correct berekend.

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

7.8
7.6
7.5
7.6
7.5
7.3
7.6
7.5
7.6
7.9
7.9
8.1
8.2
8.0
7.5
6.8
6.5
6.6
7.6
8.0
8.0
7.7
7.5
7.6
7.7
7.9
7.8
7.5
7.5
7.1
7.5
7.5
7.6
7.7
7.7
7.9
8.1
8.2
8.2
8.1
7.9
7.3
6.9
6.6
6.7
6.9
7.0
7.1
7.2
7.1
6.9
7.0
6.8
6.4
6.7
6.7
6.4
6.3
6.2
6.5
6.8
6.8
6.5
6.3
5.9
5.9
6.4
6.4

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	'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=26977&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=26977&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26977&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	'Gwilym Jenkins' @ 72.249.127.135

Variance Reduction Matrix
V(Y[t],d=0,D=0)	0.384571992976295	Range	2.3	Trim Var.	0.25593984962406
V(Y[t],d=1,D=0)	0.0759203980099502	Range	1.7	Trim Var.	0.0374459380479251
V(Y[t],d=2,D=0)	0.099990675990676	Range	1.5	Trim Var.	0.0519528619528619
V(Y[t],d=3,D=0)	0.236788461538462	Range	2.7	Trim Var.	0.111623376623376
V(Y[t],d=0,D=1)	0.308360389610390	Range	2.3	Trim Var.	0.219251700680272
V(Y[t],d=1,D=1)	0.111501683501683	Range	1.5	Trim Var.	0.065765306122449
V(Y[t],d=2,D=1)	0.113962264150943	Range	1.4	Trim Var.	0.06587922705314
V(Y[t],d=3,D=1)	0.194600870827286	Range	2.00000000000000	Trim Var.	0.112099907493062
V(Y[t],d=0,D=2)	0.758583509513742	Range	3.7	Trim Var.	0.456187766714082
V(Y[t],d=1,D=2)	0.288194905869324	Range	2.8	Trim Var.	0.118858858858859
V(Y[t],d=2,D=2)	0.281910569105691	Range	2.4	Trim Var.	0.142944444444444
V(Y[t],d=3,D=2)	0.516975609756096	Range	3.09999999999999	Trim Var.	0.29252100840336

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 0.384571992976295 & Range & 2.3 & Trim Var. & 0.25593984962406 \tabularnewline
V(Y[t],d=1,D=0) & 0.0759203980099502 & Range & 1.7 & Trim Var. & 0.0374459380479251 \tabularnewline
V(Y[t],d=2,D=0) & 0.099990675990676 & Range & 1.5 & Trim Var. & 0.0519528619528619 \tabularnewline
V(Y[t],d=3,D=0) & 0.236788461538462 & Range & 2.7 & Trim Var. & 0.111623376623376 \tabularnewline
V(Y[t],d=0,D=1) & 0.308360389610390 & Range & 2.3 & Trim Var. & 0.219251700680272 \tabularnewline
V(Y[t],d=1,D=1) & 0.111501683501683 & Range & 1.5 & Trim Var. & 0.065765306122449 \tabularnewline
V(Y[t],d=2,D=1) & 0.113962264150943 & Range & 1.4 & Trim Var. & 0.06587922705314 \tabularnewline
V(Y[t],d=3,D=1) & 0.194600870827286 & Range & 2.00000000000000 & Trim Var. & 0.112099907493062 \tabularnewline
V(Y[t],d=0,D=2) & 0.758583509513742 & Range & 3.7 & Trim Var. & 0.456187766714082 \tabularnewline
V(Y[t],d=1,D=2) & 0.288194905869324 & Range & 2.8 & Trim Var. & 0.118858858858859 \tabularnewline
V(Y[t],d=2,D=2) & 0.281910569105691 & Range & 2.4 & Trim Var. & 0.142944444444444 \tabularnewline
V(Y[t],d=3,D=2) & 0.516975609756096 & Range & 3.09999999999999 & Trim Var. & 0.29252100840336 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=26977&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]0.384571992976295[/C][C]Range[/C][C]2.3[/C][C]Trim Var.[/C][C]0.25593984962406[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.0759203980099502[/C][C]Range[/C][C]1.7[/C][C]Trim Var.[/C][C]0.0374459380479251[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]0.099990675990676[/C][C]Range[/C][C]1.5[/C][C]Trim Var.[/C][C]0.0519528619528619[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]0.236788461538462[/C][C]Range[/C][C]2.7[/C][C]Trim Var.[/C][C]0.111623376623376[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]0.308360389610390[/C][C]Range[/C][C]2.3[/C][C]Trim Var.[/C][C]0.219251700680272[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]0.111501683501683[/C][C]Range[/C][C]1.5[/C][C]Trim Var.[/C][C]0.065765306122449[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]0.113962264150943[/C][C]Range[/C][C]1.4[/C][C]Trim Var.[/C][C]0.06587922705314[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]0.194600870827286[/C][C]Range[/C][C]2.00000000000000[/C][C]Trim Var.[/C][C]0.112099907493062[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]0.758583509513742[/C][C]Range[/C][C]3.7[/C][C]Trim Var.[/C][C]0.456187766714082[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]0.288194905869324[/C][C]Range[/C][C]2.8[/C][C]Trim Var.[/C][C]0.118858858858859[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]0.281910569105691[/C][C]Range[/C][C]2.4[/C][C]Trim Var.[/C][C]0.142944444444444[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]0.516975609756096[/C][C]Range[/C][C]3.09999999999999[/C][C]Trim Var.[/C][C]0.29252100840336[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=26977&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26977&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)	0.384571992976295	Range	2.3	Trim Var.	0.25593984962406
V(Y[t],d=1,D=0)	0.0759203980099502	Range	1.7	Trim Var.	0.0374459380479251
V(Y[t],d=2,D=0)	0.099990675990676	Range	1.5	Trim Var.	0.0519528619528619
V(Y[t],d=3,D=0)	0.236788461538462	Range	2.7	Trim Var.	0.111623376623376
V(Y[t],d=0,D=1)	0.308360389610390	Range	2.3	Trim Var.	0.219251700680272
V(Y[t],d=1,D=1)	0.111501683501683	Range	1.5	Trim Var.	0.065765306122449
V(Y[t],d=2,D=1)	0.113962264150943	Range	1.4	Trim Var.	0.06587922705314
V(Y[t],d=3,D=1)	0.194600870827286	Range	2.00000000000000	Trim Var.	0.112099907493062
V(Y[t],d=0,D=2)	0.758583509513742	Range	3.7	Trim Var.	0.456187766714082
V(Y[t],d=1,D=2)	0.288194905869324	Range	2.8	Trim Var.	0.118858858858859
V(Y[t],d=2,D=2)	0.281910569105691	Range	2.4	Trim Var.	0.142944444444444
V(Y[t],d=3,D=2)	0.516975609756096	Range	3.09999999999999	Trim Var.	0.29252100840336

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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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code