Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_variancereduction.wasp
Title produced by softwareVariance Reduction Matrix
Date of computationWed, 26 Nov 2008 12:45:09 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Nov/26/t1227728749rz71tmqufmxoo13.htm/, Retrieved Sun, 19 May 2024 05:55:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=25710, Retrieved Sun, 19 May 2024 05:55:36 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact136
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F       [Variance Reduction Matrix] [Q8 2] [2008-11-26 19:45:09] [fb0ffb935e9c1a725d69519be28b148f] [Current]
Feedback Forum
2008-12-08 20:18:21 [Michaël De Kuyer] [reply
Het is heel opvallend dat je voor uw beide tijdreeksen net dezelfde VRM hebt. Desalniettemin kan ik dezelfde opmerking maken als bij de VRm. De laagste waarde vinden we bij een range 3005.

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Dataseries X:
3353
3480
3098
2944
3389
3497
4404
3849
3734
3060
3507
3287
3215
3764
2734
2837
2766
3851
3289
3848
3348
3682
4058
3655
3811
3341
3032
3475
3353
3186
3902
4164
3499
4145
3796
3711
3949
3740
3243
4407
4814
3908
5250
3937
4004
5560
3922
3759
4138
4634
3996
4308
4142
4429
5219
4929
5754
5592
4163
4962
5208
4755
4491
5732
5730
5024
6056
4901
5353
5578
4618
4724
5011
5298
4143
4617
4727
4207
5112
4190
4098
5071
4177
4598
3757
5591
4218
3780
4336
4870
4422
4727
4459




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=25710&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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=25710&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=25710&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001







Variance Reduction Matrix
V(Y[t],d=0,D=0)617025.091865358Range3322Trim Var.429922.809579783
V(Y[t],d=1,D=0)476435.977544195Range3472Trim Var.272939.104938272
V(Y[t],d=2,D=0)1441144.96043956Range5882Trim Var.886125.600308642
V(Y[t],d=3,D=0)4756623.57852684Range10551Trim Var.2931759.9721519
V(Y[t],d=0,D=1)466918.468827160Range3005Trim Var.275843.2
V(Y[t],d=1,D=1)575098.86693038Range3265Trim Var.408928.211071987
V(Y[t],d=2,D=1)1669890.86368062Range5151Trim Var.1151294.49134809
V(Y[t],d=3,D=1)5390610.77072927Range9469Trim Var.3710391.42857143
V(Y[t],d=0,D=2)1138973.31116795Range4851Trim Var.702163.342622951
V(Y[t],d=1,D=2)1410396.89464443Range5375Trim Var.878435.745480226
V(Y[t],d=2,D=2)3775379.51515152Range9134Trim Var.2387166.40035067
V(Y[t],d=3,D=2)11595921.9655012Range16804Trim Var.6546004.80490018

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 617025.091865358 & Range & 3322 & Trim Var. & 429922.809579783 \tabularnewline
V(Y[t],d=1,D=0) & 476435.977544195 & Range & 3472 & Trim Var. & 272939.104938272 \tabularnewline
V(Y[t],d=2,D=0) & 1441144.96043956 & Range & 5882 & Trim Var. & 886125.600308642 \tabularnewline
V(Y[t],d=3,D=0) & 4756623.57852684 & Range & 10551 & Trim Var. & 2931759.9721519 \tabularnewline
V(Y[t],d=0,D=1) & 466918.468827160 & Range & 3005 & Trim Var. & 275843.2 \tabularnewline
V(Y[t],d=1,D=1) & 575098.86693038 & Range & 3265 & Trim Var. & 408928.211071987 \tabularnewline
V(Y[t],d=2,D=1) & 1669890.86368062 & Range & 5151 & Trim Var. & 1151294.49134809 \tabularnewline
V(Y[t],d=3,D=1) & 5390610.77072927 & Range & 9469 & Trim Var. & 3710391.42857143 \tabularnewline
V(Y[t],d=0,D=2) & 1138973.31116795 & Range & 4851 & Trim Var. & 702163.342622951 \tabularnewline
V(Y[t],d=1,D=2) & 1410396.89464443 & Range & 5375 & Trim Var. & 878435.745480226 \tabularnewline
V(Y[t],d=2,D=2) & 3775379.51515152 & Range & 9134 & Trim Var. & 2387166.40035067 \tabularnewline
V(Y[t],d=3,D=2) & 11595921.9655012 & Range & 16804 & Trim Var. & 6546004.80490018 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=25710&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]617025.091865358[/C][C]Range[/C][C]3322[/C][C]Trim Var.[/C][C]429922.809579783[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]476435.977544195[/C][C]Range[/C][C]3472[/C][C]Trim Var.[/C][C]272939.104938272[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]1441144.96043956[/C][C]Range[/C][C]5882[/C][C]Trim Var.[/C][C]886125.600308642[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]4756623.57852684[/C][C]Range[/C][C]10551[/C][C]Trim Var.[/C][C]2931759.9721519[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]466918.468827160[/C][C]Range[/C][C]3005[/C][C]Trim Var.[/C][C]275843.2[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]575098.86693038[/C][C]Range[/C][C]3265[/C][C]Trim Var.[/C][C]408928.211071987[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]1669890.86368062[/C][C]Range[/C][C]5151[/C][C]Trim Var.[/C][C]1151294.49134809[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]5390610.77072927[/C][C]Range[/C][C]9469[/C][C]Trim Var.[/C][C]3710391.42857143[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]1138973.31116795[/C][C]Range[/C][C]4851[/C][C]Trim Var.[/C][C]702163.342622951[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]1410396.89464443[/C][C]Range[/C][C]5375[/C][C]Trim Var.[/C][C]878435.745480226[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]3775379.51515152[/C][C]Range[/C][C]9134[/C][C]Trim Var.[/C][C]2387166.40035067[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]11595921.9655012[/C][C]Range[/C][C]16804[/C][C]Trim Var.[/C][C]6546004.80490018[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=25710&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=25710&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)617025.091865358Range3322Trim Var.429922.809579783
V(Y[t],d=1,D=0)476435.977544195Range3472Trim Var.272939.104938272
V(Y[t],d=2,D=0)1441144.96043956Range5882Trim Var.886125.600308642
V(Y[t],d=3,D=0)4756623.57852684Range10551Trim Var.2931759.9721519
V(Y[t],d=0,D=1)466918.468827160Range3005Trim Var.275843.2
V(Y[t],d=1,D=1)575098.86693038Range3265Trim Var.408928.211071987
V(Y[t],d=2,D=1)1669890.86368062Range5151Trim Var.1151294.49134809
V(Y[t],d=3,D=1)5390610.77072927Range9469Trim Var.3710391.42857143
V(Y[t],d=0,D=2)1138973.31116795Range4851Trim Var.702163.342622951
V(Y[t],d=1,D=2)1410396.89464443Range5375Trim Var.878435.745480226
V(Y[t],d=2,D=2)3775379.51515152Range9134Trim Var.2387166.40035067
V(Y[t],d=3,D=2)11595921.9655012Range16804Trim Var.6546004.80490018



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')