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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 computationSun, 26 Dec 2010 11:46:58 +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/26/t1293363946p3bhpzziid6bngb.htm/, Retrieved Mon, 06 May 2024 22:29:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=115550, Retrieved Mon, 06 May 2024 22:29:46 +0000
QR Codes:

Original text written by user:We hebben de R-code aangepast door Par1<-30 in te stellen en de seizonaliteit op 1 te zetten.
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact196

Tree of Dependent Computations

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] [Variantie Reducti...] [2010-12-15 16:14:36] [c895532cb7349383dee5125244983cc8]
F         [Variance Reduction Matrix] [VRM] [2010-12-16 15:26:27] [75b8170d590d2aca2c97c1862bb2167f]
- R PD        [Variance Reduction Matrix] [VRM met Par1<-30 ...] [2010-12-26 11:46:58] [9b9a58c480cb5dafe4bfceb51e1cfd12] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
10
10
10
10
10
9.94
10.06
10.06
10.06
10.06
10.06
10.06
10.06
10.06
10.06
10.06
10.06
10.06
10.06
10.06
9.94
9.94
9.94
9.94
9.94
9.94
10.06
10.06
9.94
10.06
10.06
10.06
10.18
10.28
10.28
10.18
10.28
10.28
10.28
10.18
10.28
10.28
10.18
10.18
10.18
10.28
10.28
10.18
10.18
10.18
10.18
10.18
10.18
10.28
10.28
10.28
10.18
10.18
10.18
10.28
10.18
10.18
10.28
10.18
10.18
10.18
10.28
10.28
10.28
10.28
10.28
10.28
10.18
10.18
10.18
10.18
10.18
10.18
10.18
10.18
10.18
10.28
10.28
10.28
10.28
10.28
10.28
10.28
10.28
10.18
10.28
10.28
10.28
10.28
10.18
10.28
10.28
10.28
10.18
10.18
10.28
10.28
10.28
10.28
10.28
10.28
10.28
10.18
10.28
10.28
10.28
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.34
10.34
10.34
10.42
10.42
10.42
10.42
10.34
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.34
10.34
10.34
10.34
10.42
10.42
10.34
10.34
10.34
10.42
10.42
10.42
10.34
10.34
10.34
10.34
10.34
10.42
10.42
10.42
10.34
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.34
10.34
10.34
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.42
10.34
10.34
10.42
10.42
10.55
10.55
10.55
10.55
10.55
10.55
10.55
10.55
10.55
10.55
10.49
10.49
10.55
10.55
10.55
10.55
10.55
10.55
10.49
10.55
10.55
10.55
10.55
10.55
10.55
10.49
10.49
10.55
10.55
10.55
10.49
10.55
10.55
10.55
10.55
10.55
10.55
10.55
10.55
10.55
10.49
10.49
10.49
10.55
10.55
10.55
10.49
10.55
10.55
10.55
10.63
10.63
10.63
10.63
10.63
10.57
10.63
10.63
10.63
10.63
10.57
10.57
10.57
10.63
10.63
10.63
10.63
10.57
10.63
10.63
10.57
10.63
10.63
10.63
10.63
10.57
10.63
10.6
10.7
10.7
10.7
10.7
10.7
10.7
10.7
10.7
10.7
10.7
10.6
10.6
10.6
10.6
10.7
10.7
10.6
10.7
10.7
10.7
10.7
10.7
10.7
10.7
10.7
10.7
10.7
10.7
10.7
10.7
10.7
10.8
10.8
10.8
10.8
10.7
10.7
10.7
10.85
10.75
10.75
10.75
10.75
10.75
10.75
10.75
10.75
10.75
10.75
10.75
10.85
10.85
10.85
10.85
10.85
10.85
10.85
10.85
10.85
10.85
10.75
10.75
10.85
10.85
10.85
10.85
10.75
10.75
10.75
10.75
10.75

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115550&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115550&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115550&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 time1 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Variance Reduction Matrix
V(Y[t],d=0,D=0)0.0505259304134261Range0.91Trim Var.0.029646822742475
V(Y[t],d=1,D=0)0.00202956394295689Range0.270000000000001Trim Var.0.000637416125718537
V(Y[t],d=2,D=0)0.00492968299711817Range0.490000000000002Trim Var.0.00194406686214070
V(Y[t],d=3,D=0)0.0151647398843931Range0.760000000000003Trim Var.0.0068393564356436
V(Y[t],d=0,D=1)0.00710758620689656Range0.440000000000000Trim Var.0.00354993939393941
V(Y[t],d=1,D=1)0.00387732300230674Range0.42Trim Var.0.00114242868525897
V(Y[t],d=2,D=1)0.00979305993690853Range0.679999999999998Trim Var.0.00548654064739315
V(Y[t],d=3,D=1)0.0308514155652279Range1.20000000000000Trim Var.0.0160263302464292
V(Y[t],d=0,D=2)0.0183924841904308Range0.719999999999999Trim Var.0.0111112780140561
V(Y[t],d=1,D=2)0.0114484284890427Range0.640000000000002Trim Var.0.00540117955843757
V(Y[t],d=2,D=2)0.0296214818041038Range1.10000000000000Trim Var.0.0163052435661765
V(Y[t],d=3,D=2)0.0941122755293488Range1.71999999999999Trim Var.0.0532262645914399

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 0.0505259304134261 & Range & 0.91 & Trim Var. & 0.029646822742475 \tabularnewline
V(Y[t],d=1,D=0) & 0.00202956394295689 & Range & 0.270000000000001 & Trim Var. & 0.000637416125718537 \tabularnewline
V(Y[t],d=2,D=0) & 0.00492968299711817 & Range & 0.490000000000002 & Trim Var. & 0.00194406686214070 \tabularnewline
V(Y[t],d=3,D=0) & 0.0151647398843931 & Range & 0.760000000000003 & Trim Var. & 0.0068393564356436 \tabularnewline
V(Y[t],d=0,D=1) & 0.00710758620689656 & Range & 0.440000000000000 & Trim Var. & 0.00354993939393941 \tabularnewline
V(Y[t],d=1,D=1) & 0.00387732300230674 & Range & 0.42 & Trim Var. & 0.00114242868525897 \tabularnewline
V(Y[t],d=2,D=1) & 0.00979305993690853 & Range & 0.679999999999998 & Trim Var. & 0.00548654064739315 \tabularnewline
V(Y[t],d=3,D=1) & 0.0308514155652279 & Range & 1.20000000000000 & Trim Var. & 0.0160263302464292 \tabularnewline
V(Y[t],d=0,D=2) & 0.0183924841904308 & Range & 0.719999999999999 & Trim Var. & 0.0111112780140561 \tabularnewline
V(Y[t],d=1,D=2) & 0.0114484284890427 & Range & 0.640000000000002 & Trim Var. & 0.00540117955843757 \tabularnewline
V(Y[t],d=2,D=2) & 0.0296214818041038 & Range & 1.10000000000000 & Trim Var. & 0.0163052435661765 \tabularnewline
V(Y[t],d=3,D=2) & 0.0941122755293488 & Range & 1.71999999999999 & Trim Var. & 0.0532262645914399 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115550&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]0.0505259304134261[/C][C]Range[/C][C]0.91[/C][C]Trim Var.[/C][C]0.029646822742475[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.00202956394295689[/C][C]Range[/C][C]0.270000000000001[/C][C]Trim Var.[/C][C]0.000637416125718537[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]0.00492968299711817[/C][C]Range[/C][C]0.490000000000002[/C][C]Trim Var.[/C][C]0.00194406686214070[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]0.0151647398843931[/C][C]Range[/C][C]0.760000000000003[/C][C]Trim Var.[/C][C]0.0068393564356436[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]0.00710758620689656[/C][C]Range[/C][C]0.440000000000000[/C][C]Trim Var.[/C][C]0.00354993939393941[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]0.00387732300230674[/C][C]Range[/C][C]0.42[/C][C]Trim Var.[/C][C]0.00114242868525897[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]0.00979305993690853[/C][C]Range[/C][C]0.679999999999998[/C][C]Trim Var.[/C][C]0.00548654064739315[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]0.0308514155652279[/C][C]Range[/C][C]1.20000000000000[/C][C]Trim Var.[/C][C]0.0160263302464292[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]0.0183924841904308[/C][C]Range[/C][C]0.719999999999999[/C][C]Trim Var.[/C][C]0.0111112780140561[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]0.0114484284890427[/C][C]Range[/C][C]0.640000000000002[/C][C]Trim Var.[/C][C]0.00540117955843757[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]0.0296214818041038[/C][C]Range[/C][C]1.10000000000000[/C][C]Trim Var.[/C][C]0.0163052435661765[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]0.0941122755293488[/C][C]Range[/C][C]1.71999999999999[/C][C]Trim Var.[/C][C]0.0532262645914399[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115550&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115550&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)0.0505259304134261Range0.91Trim Var.0.029646822742475
V(Y[t],d=1,D=0)0.00202956394295689Range0.270000000000001Trim Var.0.000637416125718537
V(Y[t],d=2,D=0)0.00492968299711817Range0.490000000000002Trim Var.0.00194406686214070
V(Y[t],d=3,D=0)0.0151647398843931Range0.760000000000003Trim Var.0.0068393564356436
V(Y[t],d=0,D=1)0.00710758620689656Range0.440000000000000Trim Var.0.00354993939393941
V(Y[t],d=1,D=1)0.00387732300230674Range0.42Trim Var.0.00114242868525897
V(Y[t],d=2,D=1)0.00979305993690853Range0.679999999999998Trim Var.0.00548654064739315
V(Y[t],d=3,D=1)0.0308514155652279Range1.20000000000000Trim Var.0.0160263302464292
V(Y[t],d=0,D=2)0.0183924841904308Range0.719999999999999Trim Var.0.0111112780140561
V(Y[t],d=1,D=2)0.0114484284890427Range0.640000000000002Trim Var.0.00540117955843757
V(Y[t],d=2,D=2)0.0296214818041038Range1.10000000000000Trim Var.0.0163052435661765
V(Y[t],d=3,D=2)0.0941122755293488Range1.71999999999999Trim Var.0.0532262645914399


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 48 ; par2 = 1 ; par3 = 1 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
Parameters (R input):
par1 = 1 ;
R code (references can be found in the software module):
par1 <- 30
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')