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Author's title

Author*Unverified author*
R Software Modulerwasp_variancereduction.wasp
Title produced by softwareVariance Reduction Matrix
Date of computationFri, 23 Nov 2007 08:42:15 -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/2007/Nov/23/t1195832015bhqemyuquzsf9bb.htm/, Retrieved Mon, 29 Apr 2024 01:05:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=6197, Retrieved Mon, 29 Apr 2024 01:05:28 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact206
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Variance Reduction Matrix] [Workshop7-q2a] [2007-11-23 15:42:15] [129742d52914620af0bad7eb53591257] [Current]
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Dataseries X:
48527
44446
46380
48950
38883
42928
37107
30186
32602
39892
32194
21629
59968
45694
55756
48554
41052
49822
39191
31994
35735
38930
33658
23849
58972
59249
63955
53785
52760
44795
37348
32370
32717
40974
33591
21124
58608
46865
51378
46235
47206
45382
41227
33795
31295
42625
33625
21538
56421
53152
53536
52408
41454
38271
35306
26414
31917
38030
27534
18387
50556
43901
48572
43899
37532
40357
35489
29027
34485
42598
30306
26451
47460
50104
61465
53726
39477
43895
31481
29896
33842
39120
33702
25094
51442
45594
52518
48564
41745
49585
32747
33379
35645
37034
35681
20972




Summary of compuational 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 compuational 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=6197&T=0

[TABLE]
[ROW][C]Summary of compuational 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=6197&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6197&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 compuational 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)104835571.865680Range45568Trim Var.69847641.5009576
V(Y[t],d=1,D=0)130968516.539754Range55177Trim Var.55816361.3338936
V(Y[t],d=2,D=0)349277655.458248Range102564Trim Var.148032007.922404
V(Y[t],d=3,D=0)1121803943.73001Range178466Trim Var.541558328.727299
V(Y[t],d=0,D=1)29466591.3453815Range26132Trim Var.16226632.0570159
V(Y[t],d=1,D=1)30985212.2530120Range31286Trim Var.17338033.5460426
V(Y[t],d=2,D=1)86012440.928636Range43671Trim Var.50210427.4452269
V(Y[t],d=3,D=1)277919351.691049Range80805Trim Var.167826271.785513
V(Y[t],d=0,D=2)90818089.9278169Range44610Trim Var.53025504.4603175
V(Y[t],d=1,D=2)89428710.6627767Range51315Trim Var.44449558.4352279
V(Y[t],d=2,D=2)227876903.556108Range69962Trim Var.132610469.480962
V(Y[t],d=3,D=2)713508310.928815Range124716Trim Var.426362272.512568

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 104835571.865680 & Range & 45568 & Trim Var. & 69847641.5009576 \tabularnewline
V(Y[t],d=1,D=0) & 130968516.539754 & Range & 55177 & Trim Var. & 55816361.3338936 \tabularnewline
V(Y[t],d=2,D=0) & 349277655.458248 & Range & 102564 & Trim Var. & 148032007.922404 \tabularnewline
V(Y[t],d=3,D=0) & 1121803943.73001 & Range & 178466 & Trim Var. & 541558328.727299 \tabularnewline
V(Y[t],d=0,D=1) & 29466591.3453815 & Range & 26132 & Trim Var. & 16226632.0570159 \tabularnewline
V(Y[t],d=1,D=1) & 30985212.2530120 & Range & 31286 & Trim Var. & 17338033.5460426 \tabularnewline
V(Y[t],d=2,D=1) & 86012440.928636 & Range & 43671 & Trim Var. & 50210427.4452269 \tabularnewline
V(Y[t],d=3,D=1) & 277919351.691049 & Range & 80805 & Trim Var. & 167826271.785513 \tabularnewline
V(Y[t],d=0,D=2) & 90818089.9278169 & Range & 44610 & Trim Var. & 53025504.4603175 \tabularnewline
V(Y[t],d=1,D=2) & 89428710.6627767 & Range & 51315 & Trim Var. & 44449558.4352279 \tabularnewline
V(Y[t],d=2,D=2) & 227876903.556108 & Range & 69962 & Trim Var. & 132610469.480962 \tabularnewline
V(Y[t],d=3,D=2) & 713508310.928815 & Range & 124716 & Trim Var. & 426362272.512568 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6197&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]104835571.865680[/C][C]Range[/C][C]45568[/C][C]Trim Var.[/C][C]69847641.5009576[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]130968516.539754[/C][C]Range[/C][C]55177[/C][C]Trim Var.[/C][C]55816361.3338936[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]349277655.458248[/C][C]Range[/C][C]102564[/C][C]Trim Var.[/C][C]148032007.922404[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]1121803943.73001[/C][C]Range[/C][C]178466[/C][C]Trim Var.[/C][C]541558328.727299[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]29466591.3453815[/C][C]Range[/C][C]26132[/C][C]Trim Var.[/C][C]16226632.0570159[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]30985212.2530120[/C][C]Range[/C][C]31286[/C][C]Trim Var.[/C][C]17338033.5460426[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]86012440.928636[/C][C]Range[/C][C]43671[/C][C]Trim Var.[/C][C]50210427.4452269[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]277919351.691049[/C][C]Range[/C][C]80805[/C][C]Trim Var.[/C][C]167826271.785513[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]90818089.9278169[/C][C]Range[/C][C]44610[/C][C]Trim Var.[/C][C]53025504.4603175[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]89428710.6627767[/C][C]Range[/C][C]51315[/C][C]Trim Var.[/C][C]44449558.4352279[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]227876903.556108[/C][C]Range[/C][C]69962[/C][C]Trim Var.[/C][C]132610469.480962[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]713508310.928815[/C][C]Range[/C][C]124716[/C][C]Trim Var.[/C][C]426362272.512568[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6197&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6197&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)104835571.865680Range45568Trim Var.69847641.5009576
V(Y[t],d=1,D=0)130968516.539754Range55177Trim Var.55816361.3338936
V(Y[t],d=2,D=0)349277655.458248Range102564Trim Var.148032007.922404
V(Y[t],d=3,D=0)1121803943.73001Range178466Trim Var.541558328.727299
V(Y[t],d=0,D=1)29466591.3453815Range26132Trim Var.16226632.0570159
V(Y[t],d=1,D=1)30985212.2530120Range31286Trim Var.17338033.5460426
V(Y[t],d=2,D=1)86012440.928636Range43671Trim Var.50210427.4452269
V(Y[t],d=3,D=1)277919351.691049Range80805Trim Var.167826271.785513
V(Y[t],d=0,D=2)90818089.9278169Range44610Trim Var.53025504.4603175
V(Y[t],d=1,D=2)89428710.6627767Range51315Trim Var.44449558.4352279
V(Y[t],d=2,D=2)227876903.556108Range69962Trim Var.132610469.480962
V(Y[t],d=3,D=2)713508310.928815Range124716Trim Var.426362272.512568



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')