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Description of Statistical Computation

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 18:59:28 +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/t1291402721yehfn6xub7c5287.htm/, Retrieved Tue, 07 May 2024 08:45:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=104962, Retrieved Tue, 07 May 2024 08:45:07 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact137

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Variance Reduction Matrix] [Identifying Integ...] [2009-11-22 12:29:54] [b98453cac15ba1066b407e146608df68]
-   PD          [Variance Reduction Matrix] [variance reductio...] [2010-12-03 18:59:28] [9d72585f2b7b60ae977d4816136e1c95] [Current]
- RMPD            [Spectral Analysis] [verbetering stude...] [2010-12-08 18:09:49] [8214fe6d084e5ad7598b249a26cc9f06]
- RMPD            [Spectral Analysis] [] [2010-12-12 13:43:13] [049b50ae610f671f7417ed8e2d1295c1]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
14731798,37
16471559,62
15213975,95
17637387,4
17972385,83
16896235,55
16697955,94
19691579,52
15930700,75
17444615,98
17699369,88
15189796,81
15672722,75
17180794,3
17664893,45
17862884,98
16162288,88
17463628,82
16772112,17
19106861,48
16721314,25
18161267,85
18509941,2
17802737,97
16409869,75
17967742,04
20286602,27
19537280,81
18021889,62
20194317,23
19049596,62
20244720,94
21473302,24
19673603,19
21053177,29
20159479,84
18203628,31
21289464,94
20432335,71
17180395,07
15816786,32
15071819,75
14521120,61
15668789,39
14346884,11
13881008,13
15465943,69
14238232,92
13557713,21
16127590,29
16793894,2
16014007,43
16867867,15
16014583,21
15878594,85
18664899,14
17962530,06
17332692,2
19542066,35
17203555,19

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104962&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]0 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=104962&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104962&T=0

As an alternative you can also use a QR Code:  
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 time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Variance Reduction Matrix
V(Y[t],d=0,D=0)3765893450048.86Range7915589.03Trim Var.2639735548840.83
V(Y[t],d=1,D=0)2688192667984.89Range6846715.4Trim Var.1895560097104.03
V(Y[t],d=2,D=0)7340426382110.2Range12029296.35Trim Var.5139880511598.41
V(Y[t],d=3,D=0)22602108949371.1Range21975701.89Trim Var.15273451093178.5
V(Y[t],d=0,D=1)9663184738711.66Range11878406.12Trim Var.6863617242213.84
V(Y[t],d=1,D=1)2495458033587.6Range6853781.18Trim Var.1518878559047.14
V(Y[t],d=2,D=1)6236021864387.66Range11607534.7Trim Var.3473096537576.87
V(Y[t],d=3,D=1)20024310758584.6Range22731869.28Trim Var.11564422495534.4
V(Y[t],d=0,D=2)34439546750979.7Range22620470.2Trim Var.25275149788444.5
V(Y[t],d=1,D=2)6378113294369.82Range11139288.16Trim Var.3521866817312.25
V(Y[t],d=2,D=2)15099536052942.7Range17994875.39Trim Var.8345010265918.94
V(Y[t],d=3,D=2)50299081683300.1Range34131981.23Trim Var.30195837167919.4

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 3765893450048.86 & Range & 7915589.03 & Trim Var. & 2639735548840.83 \tabularnewline
V(Y[t],d=1,D=0) & 2688192667984.89 & Range & 6846715.4 & Trim Var. & 1895560097104.03 \tabularnewline
V(Y[t],d=2,D=0) & 7340426382110.2 & Range & 12029296.35 & Trim Var. & 5139880511598.41 \tabularnewline
V(Y[t],d=3,D=0) & 22602108949371.1 & Range & 21975701.89 & Trim Var. & 15273451093178.5 \tabularnewline
V(Y[t],d=0,D=1) & 9663184738711.66 & Range & 11878406.12 & Trim Var. & 6863617242213.84 \tabularnewline
V(Y[t],d=1,D=1) & 2495458033587.6 & Range & 6853781.18 & Trim Var. & 1518878559047.14 \tabularnewline
V(Y[t],d=2,D=1) & 6236021864387.66 & Range & 11607534.7 & Trim Var. & 3473096537576.87 \tabularnewline
V(Y[t],d=3,D=1) & 20024310758584.6 & Range & 22731869.28 & Trim Var. & 11564422495534.4 \tabularnewline
V(Y[t],d=0,D=2) & 34439546750979.7 & Range & 22620470.2 & Trim Var. & 25275149788444.5 \tabularnewline
V(Y[t],d=1,D=2) & 6378113294369.82 & Range & 11139288.16 & Trim Var. & 3521866817312.25 \tabularnewline
V(Y[t],d=2,D=2) & 15099536052942.7 & Range & 17994875.39 & Trim Var. & 8345010265918.94 \tabularnewline
V(Y[t],d=3,D=2) & 50299081683300.1 & Range & 34131981.23 & Trim Var. & 30195837167919.4 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104962&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]3765893450048.86[/C][C]Range[/C][C]7915589.03[/C][C]Trim Var.[/C][C]2639735548840.83[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]2688192667984.89[/C][C]Range[/C][C]6846715.4[/C][C]Trim Var.[/C][C]1895560097104.03[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]7340426382110.2[/C][C]Range[/C][C]12029296.35[/C][C]Trim Var.[/C][C]5139880511598.41[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]22602108949371.1[/C][C]Range[/C][C]21975701.89[/C][C]Trim Var.[/C][C]15273451093178.5[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]9663184738711.66[/C][C]Range[/C][C]11878406.12[/C][C]Trim Var.[/C][C]6863617242213.84[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]2495458033587.6[/C][C]Range[/C][C]6853781.18[/C][C]Trim Var.[/C][C]1518878559047.14[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]6236021864387.66[/C][C]Range[/C][C]11607534.7[/C][C]Trim Var.[/C][C]3473096537576.87[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]20024310758584.6[/C][C]Range[/C][C]22731869.28[/C][C]Trim Var.[/C][C]11564422495534.4[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]34439546750979.7[/C][C]Range[/C][C]22620470.2[/C][C]Trim Var.[/C][C]25275149788444.5[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]6378113294369.82[/C][C]Range[/C][C]11139288.16[/C][C]Trim Var.[/C][C]3521866817312.25[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]15099536052942.7[/C][C]Range[/C][C]17994875.39[/C][C]Trim Var.[/C][C]8345010265918.94[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]50299081683300.1[/C][C]Range[/C][C]34131981.23[/C][C]Trim Var.[/C][C]30195837167919.4[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104962&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104962&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Variance Reduction Matrix
V(Y[t],d=0,D=0)3765893450048.86Range7915589.03Trim Var.2639735548840.83
V(Y[t],d=1,D=0)2688192667984.89Range6846715.4Trim Var.1895560097104.03
V(Y[t],d=2,D=0)7340426382110.2Range12029296.35Trim Var.5139880511598.41
V(Y[t],d=3,D=0)22602108949371.1Range21975701.89Trim Var.15273451093178.5
V(Y[t],d=0,D=1)9663184738711.66Range11878406.12Trim Var.6863617242213.84
V(Y[t],d=1,D=1)2495458033587.6Range6853781.18Trim Var.1518878559047.14
V(Y[t],d=2,D=1)6236021864387.66Range11607534.7Trim Var.3473096537576.87
V(Y[t],d=3,D=1)20024310758584.6Range22731869.28Trim Var.11564422495534.4
V(Y[t],d=0,D=2)34439546750979.7Range22620470.2Trim Var.25275149788444.5
V(Y[t],d=1,D=2)6378113294369.82Range11139288.16Trim Var.3521866817312.25
V(Y[t],d=2,D=2)15099536052942.7Range17994875.39Trim Var.8345010265918.94
V(Y[t],d=3,D=2)50299081683300.1Range34131981.23Trim Var.30195837167919.4


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 36 ; par2 = 1 ; par3 = 1 ; par4 = 1 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
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')