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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Module--
Title produced by softwareVariance Reduction Matrix
Date of computationTue, 29 Nov 2011 07:17:07 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Nov/29/t13225690399yexbpjzj10pitq.htm/, Retrieved Fri, 19 Apr 2024 23:35:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=148234, Retrieved Fri, 19 Apr 2024 23:35:27 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact98

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]
-    D        [Variance Reduction Matrix] [Ws8.4METHODE2] [2009-11-25 20:08:02] [e0fc65a5811681d807296d590d5b45de]
-               [Variance Reduction Matrix] [Workshop 8 VRM2] [2010-11-29 18:00:22] [814f53995537cd15c528d8efbf1cf544]
- RM                [Variance Reduction Matrix] [] [2011-11-29 12:17:07] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
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

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'Herman Ole Andreas Wold' @ wold.wessa.net

\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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148234&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148234&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148234&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'Herman Ole Andreas Wold' @ wold.wessa.net






Variance Reduction Matrix
V(Y[t],d=0,D=0)98221156.039548Range43078Trim Var.66926268.362334
V(Y[t],d=1,D=0)109972825.817066Range51721Trim Var.50318228.9455733
V(Y[t],d=2,D=0)277874307.770115Range85794Trim Var.131349623.025641
V(Y[t],d=3,D=0)861346528.361529Range135272Trim Var.459305236.016471
V(Y[t],d=0,D=1)26819049.5314716Range22144Trim Var.16846179.6213705
V(Y[t],d=1,D=1)28147272.4921369Range21224Trim Var.18332407.2121951
V(Y[t],d=2,D=1)75281696.9763285Range36911Trim Var.50980076.6666667
V(Y[t],d=3,D=1)242570745.634343Range60995Trim Var.169128167.944669
V(Y[t],d=0,D=2)87731275.5642857Range40176Trim Var.54632538.8991935
V(Y[t],d=1,D=2)71185758.7865546Range34303Trim Var.46779061.7462366
V(Y[t],d=2,D=2)181922651.301248Range60834Trim Var.110036181.067816
V(Y[t],d=3,D=2)593211875.632576Range106093Trim Var.366097933.980296

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 98221156.039548 & Range & 43078 & Trim Var. & 66926268.362334 \tabularnewline
V(Y[t],d=1,D=0) & 109972825.817066 & Range & 51721 & Trim Var. & 50318228.9455733 \tabularnewline
V(Y[t],d=2,D=0) & 277874307.770115 & Range & 85794 & Trim Var. & 131349623.025641 \tabularnewline
V(Y[t],d=3,D=0) & 861346528.361529 & Range & 135272 & Trim Var. & 459305236.016471 \tabularnewline
V(Y[t],d=0,D=1) & 26819049.5314716 & Range & 22144 & Trim Var. & 16846179.6213705 \tabularnewline
V(Y[t],d=1,D=1) & 28147272.4921369 & Range & 21224 & Trim Var. & 18332407.2121951 \tabularnewline
V(Y[t],d=2,D=1) & 75281696.9763285 & Range & 36911 & Trim Var. & 50980076.6666667 \tabularnewline
V(Y[t],d=3,D=1) & 242570745.634343 & Range & 60995 & Trim Var. & 169128167.944669 \tabularnewline
V(Y[t],d=0,D=2) & 87731275.5642857 & Range & 40176 & Trim Var. & 54632538.8991935 \tabularnewline
V(Y[t],d=1,D=2) & 71185758.7865546 & Range & 34303 & Trim Var. & 46779061.7462366 \tabularnewline
V(Y[t],d=2,D=2) & 181922651.301248 & Range & 60834 & Trim Var. & 110036181.067816 \tabularnewline
V(Y[t],d=3,D=2) & 593211875.632576 & Range & 106093 & Trim Var. & 366097933.980296 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148234&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]98221156.039548[/C][C]Range[/C][C]43078[/C][C]Trim Var.[/C][C]66926268.362334[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]109972825.817066[/C][C]Range[/C][C]51721[/C][C]Trim Var.[/C][C]50318228.9455733[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]277874307.770115[/C][C]Range[/C][C]85794[/C][C]Trim Var.[/C][C]131349623.025641[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]861346528.361529[/C][C]Range[/C][C]135272[/C][C]Trim Var.[/C][C]459305236.016471[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]26819049.5314716[/C][C]Range[/C][C]22144[/C][C]Trim Var.[/C][C]16846179.6213705[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]28147272.4921369[/C][C]Range[/C][C]21224[/C][C]Trim Var.[/C][C]18332407.2121951[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]75281696.9763285[/C][C]Range[/C][C]36911[/C][C]Trim Var.[/C][C]50980076.6666667[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]242570745.634343[/C][C]Range[/C][C]60995[/C][C]Trim Var.[/C][C]169128167.944669[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]87731275.5642857[/C][C]Range[/C][C]40176[/C][C]Trim Var.[/C][C]54632538.8991935[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]71185758.7865546[/C][C]Range[/C][C]34303[/C][C]Trim Var.[/C][C]46779061.7462366[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]181922651.301248[/C][C]Range[/C][C]60834[/C][C]Trim Var.[/C][C]110036181.067816[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]593211875.632576[/C][C]Range[/C][C]106093[/C][C]Trim Var.[/C][C]366097933.980296[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148234&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148234&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)98221156.039548Range43078Trim Var.66926268.362334
V(Y[t],d=1,D=0)109972825.817066Range51721Trim Var.50318228.9455733
V(Y[t],d=2,D=0)277874307.770115Range85794Trim Var.131349623.025641
V(Y[t],d=3,D=0)861346528.361529Range135272Trim Var.459305236.016471
V(Y[t],d=0,D=1)26819049.5314716Range22144Trim Var.16846179.6213705
V(Y[t],d=1,D=1)28147272.4921369Range21224Trim Var.18332407.2121951
V(Y[t],d=2,D=1)75281696.9763285Range36911Trim Var.50980076.6666667
V(Y[t],d=3,D=1)242570745.634343Range60995Trim Var.169128167.944669
V(Y[t],d=0,D=2)87731275.5642857Range40176Trim Var.54632538.8991935
V(Y[t],d=1,D=2)71185758.7865546Range34303Trim Var.46779061.7462366
V(Y[t],d=2,D=2)181922651.301248Range60834Trim Var.110036181.067816
V(Y[t],d=3,D=2)593211875.632576Range106093Trim Var.366097933.980296


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 12 ;
Parameters (R input):
par1 = 12 ; par2 = ; par3 = ; par4 = ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;
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')