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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_variancereduction.wasp
Title produced by softwareVariance Reduction Matrix
Date of computationFri, 03 Dec 2010 15:03:54 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/03/t1291388518e16m0tmbyk7y1x3.htm/, Retrieved Tue, 07 May 2024 05:52:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=104853, Retrieved Tue, 07 May 2024 05:52:54 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact153
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Variance Reduction Matrix] [Unemployment] [2010-11-29 09:29:57] [b98453cac15ba1066b407e146608df68]
-   PD    [Variance Reduction Matrix] [VRM ] [2010-12-03 15:03:54] [18ef3d986e8801a4b28404e69e5bf56b] [Current]
-    D      [Variance Reduction Matrix] [VRM - Niet werken...] [2010-12-10 08:40:14] [aeb27d5c05332f2e597ad139ee63fbe4]
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Dataseries X:
44164
40399
36763
37903
35532
35533
32110
33374
35462
33508
36080
34560
38737
38144
37594
36424
36843
37246
38661
40454
44928
48441
48140
45998
47369
49554
47510
44873
45344
42413
36912
43452
42142
44382
43636
44167
44423
42868
43908
42013
38846
35087
33026
34646
37135
37985
43121
43722
43630
42234
39351
39327
35704
30466
28155
29257
29998
32529
34787
33855
34556
31348
30805
28353
24514
21106
21346
23335
24379
26290
30084
29429
30632
27349
27264
27474
24482
21453
18788
19282
19713
21917
23812
23785
24696
24562
23580
24939
23899
21454
19761
19815
20780
23462
25005
24725
26198
27543
26471
26558
25317
22896




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104853&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104853&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104853&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 time1 seconds
R Server'George Udny Yule' @ 72.249.76.132







Variance Reduction Matrix
V(Y[t],d=0,D=0)72127962.2500485Range30766Trim Var.55015421.9062422
V(Y[t],d=1,D=0)5217912.50693069Range12041Trim Var.3101474.81281920
V(Y[t],d=2,D=0)8272472.24888889Range19891Trim Var.4845216.93146067
V(Y[t],d=3,D=0)24740118.8480726Range34502Trim Var.12727961.7313585
V(Y[t],d=0,D=1)31291784.1923845Range26123Trim Var.18353859.0808544
V(Y[t],d=1,D=1)5492535.39913177Range12798Trim Var.2864720.85102240
V(Y[t],d=2,D=1)13452420.6833856Range22194Trim Var.6647349.13569764
V(Y[t],d=3,D=1)44899615.8286554Range39273Trim Var.22320110.3957621
V(Y[t],d=0,D=2)57408976.3976024Range33051Trim Var.38202381.9345756
V(Y[t],d=1,D=2)16297488.9039645Range22110Trim Var.8626130.6653879
V(Y[t],d=2,D=2)42226436.6322807Range39273Trim Var.22699137.0219491
V(Y[t],d=3,D=2)142298825.997117Range68223Trim Var.73310567.2971506

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 72127962.2500485 & Range & 30766 & Trim Var. & 55015421.9062422 \tabularnewline
V(Y[t],d=1,D=0) & 5217912.50693069 & Range & 12041 & Trim Var. & 3101474.81281920 \tabularnewline
V(Y[t],d=2,D=0) & 8272472.24888889 & Range & 19891 & Trim Var. & 4845216.93146067 \tabularnewline
V(Y[t],d=3,D=0) & 24740118.8480726 & Range & 34502 & Trim Var. & 12727961.7313585 \tabularnewline
V(Y[t],d=0,D=1) & 31291784.1923845 & Range & 26123 & Trim Var. & 18353859.0808544 \tabularnewline
V(Y[t],d=1,D=1) & 5492535.39913177 & Range & 12798 & Trim Var. & 2864720.85102240 \tabularnewline
V(Y[t],d=2,D=1) & 13452420.6833856 & Range & 22194 & Trim Var. & 6647349.13569764 \tabularnewline
V(Y[t],d=3,D=1) & 44899615.8286554 & Range & 39273 & Trim Var. & 22320110.3957621 \tabularnewline
V(Y[t],d=0,D=2) & 57408976.3976024 & Range & 33051 & Trim Var. & 38202381.9345756 \tabularnewline
V(Y[t],d=1,D=2) & 16297488.9039645 & Range & 22110 & Trim Var. & 8626130.6653879 \tabularnewline
V(Y[t],d=2,D=2) & 42226436.6322807 & Range & 39273 & Trim Var. & 22699137.0219491 \tabularnewline
V(Y[t],d=3,D=2) & 142298825.997117 & Range & 68223 & Trim Var. & 73310567.2971506 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104853&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]72127962.2500485[/C][C]Range[/C][C]30766[/C][C]Trim Var.[/C][C]55015421.9062422[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]5217912.50693069[/C][C]Range[/C][C]12041[/C][C]Trim Var.[/C][C]3101474.81281920[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]8272472.24888889[/C][C]Range[/C][C]19891[/C][C]Trim Var.[/C][C]4845216.93146067[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]24740118.8480726[/C][C]Range[/C][C]34502[/C][C]Trim Var.[/C][C]12727961.7313585[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]31291784.1923845[/C][C]Range[/C][C]26123[/C][C]Trim Var.[/C][C]18353859.0808544[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]5492535.39913177[/C][C]Range[/C][C]12798[/C][C]Trim Var.[/C][C]2864720.85102240[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]13452420.6833856[/C][C]Range[/C][C]22194[/C][C]Trim Var.[/C][C]6647349.13569764[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]44899615.8286554[/C][C]Range[/C][C]39273[/C][C]Trim Var.[/C][C]22320110.3957621[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]57408976.3976024[/C][C]Range[/C][C]33051[/C][C]Trim Var.[/C][C]38202381.9345756[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]16297488.9039645[/C][C]Range[/C][C]22110[/C][C]Trim Var.[/C][C]8626130.6653879[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]42226436.6322807[/C][C]Range[/C][C]39273[/C][C]Trim Var.[/C][C]22699137.0219491[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]142298825.997117[/C][C]Range[/C][C]68223[/C][C]Trim Var.[/C][C]73310567.2971506[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104853&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104853&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)72127962.2500485Range30766Trim Var.55015421.9062422
V(Y[t],d=1,D=0)5217912.50693069Range12041Trim Var.3101474.81281920
V(Y[t],d=2,D=0)8272472.24888889Range19891Trim Var.4845216.93146067
V(Y[t],d=3,D=0)24740118.8480726Range34502Trim Var.12727961.7313585
V(Y[t],d=0,D=1)31291784.1923845Range26123Trim Var.18353859.0808544
V(Y[t],d=1,D=1)5492535.39913177Range12798Trim Var.2864720.85102240
V(Y[t],d=2,D=1)13452420.6833856Range22194Trim Var.6647349.13569764
V(Y[t],d=3,D=1)44899615.8286554Range39273Trim Var.22320110.3957621
V(Y[t],d=0,D=2)57408976.3976024Range33051Trim Var.38202381.9345756
V(Y[t],d=1,D=2)16297488.9039645Range22110Trim Var.8626130.6653879
V(Y[t],d=2,D=2)42226436.6322807Range39273Trim Var.22699137.0219491
V(Y[t],d=3,D=2)142298825.997117Range68223Trim Var.73310567.2971506



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')