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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 computationMon, 01 Dec 2008 13:20:37 -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/2008/Dec/01/t1228163013n7i8656l66tlhuv.htm/, Retrieved Sun, 05 May 2024 14:53:59 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=27330, Retrieved Sun, 05 May 2024 14:53:59 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact221

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Data Series] [Airline data] [2007-10-18 09:58:47] [42daae401fd3def69a25014f2252b4c2]
F RMPD  [Standard Deviation-Mean Plot] [q5 airline data] [2008-11-28 16:40:33] [44a98561a4b3e6ab8cd5a857b48b0914]
F RMP     [(Partial) Autocorrelation Function] [q6 ACF] [2008-11-29 18:07:14] [44a98561a4b3e6ab8cd5a857b48b0914]
- RMPD        [Variance Reduction Matrix] [Non stationary ti...] [2008-12-01 20:20:37] [07b7cf1321bc38017c2c7efcf91ca696] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
99.2
99.5
99.7
99.6
100.1
100.3
100.5
100.7
100.9
101.1
101.1
101.1
101.3
100.5
100.3
100
100.1
100.2
100.5
100
100.7
101.2
101.6
101.7
101.5
101.1
101.2
101.1
101.4
101.3
101.6
102
103.2
103.4
103.6
104.8
105.2
105.1
105.1
105.7
106.2
105.9
106.1
106.5
106.7
107.1
107.5
107.9
109.2
110.1
110.2
110.4
110.5
110.8
111.2
111
111.1
111.1
111.1
111.5

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=27330&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=27330&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=27330&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)16.476302259887Range12.3Trim Var.12.5819457013575
V(Y[t],d=1,D=0)0.142168322618352Range2.09999999999999Trim Var.0.0613134978229323
V(Y[t],d=2,D=0)0.220172413793105Range2.20000000000000Trim Var.0.108995918367348
V(Y[t],d=3,D=0)0.617243107769426Range3.80000000000001Trim Var.0.357458823529414
V(Y[t],d=0,D=1)3.41652482269503Range5.80000000000001Trim Var.2.83600464576074
V(Y[t],d=1,D=1)0.249176688251620Range2.19999999999999Trim Var.0.139804878048782
V(Y[t],d=2,D=1)0.412971014492755Range2.70000000000000Trim Var.0.250743589743592
V(Y[t],d=3,D=1)1.08336363636364Range4.49999999999999Trim Var.0.621902834008104
V(Y[t],d=0,D=2)1.95621428571429Range5.40000000000001Trim Var.1.45813508064516
V(Y[t],d=1,D=2)0.628100840336137Range3.5Trim Var.0.353827956989252
V(Y[t],d=2,D=2)1.18047237076649Range4.49999999999999Trim Var.0.767126436781618
V(Y[t],d=3,D=2)2.99041666666667Range7.8Trim Var.1.74544334975372

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 16.476302259887 & Range & 12.3 & Trim Var. & 12.5819457013575 \tabularnewline
V(Y[t],d=1,D=0) & 0.142168322618352 & Range & 2.09999999999999 & Trim Var. & 0.0613134978229323 \tabularnewline
V(Y[t],d=2,D=0) & 0.220172413793105 & Range & 2.20000000000000 & Trim Var. & 0.108995918367348 \tabularnewline
V(Y[t],d=3,D=0) & 0.617243107769426 & Range & 3.80000000000001 & Trim Var. & 0.357458823529414 \tabularnewline
V(Y[t],d=0,D=1) & 3.41652482269503 & Range & 5.80000000000001 & Trim Var. & 2.83600464576074 \tabularnewline
V(Y[t],d=1,D=1) & 0.249176688251620 & Range & 2.19999999999999 & Trim Var. & 0.139804878048782 \tabularnewline
V(Y[t],d=2,D=1) & 0.412971014492755 & Range & 2.70000000000000 & Trim Var. & 0.250743589743592 \tabularnewline
V(Y[t],d=3,D=1) & 1.08336363636364 & Range & 4.49999999999999 & Trim Var. & 0.621902834008104 \tabularnewline
V(Y[t],d=0,D=2) & 1.95621428571429 & Range & 5.40000000000001 & Trim Var. & 1.45813508064516 \tabularnewline
V(Y[t],d=1,D=2) & 0.628100840336137 & Range & 3.5 & Trim Var. & 0.353827956989252 \tabularnewline
V(Y[t],d=2,D=2) & 1.18047237076649 & Range & 4.49999999999999 & Trim Var. & 0.767126436781618 \tabularnewline
V(Y[t],d=3,D=2) & 2.99041666666667 & Range & 7.8 & Trim Var. & 1.74544334975372 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=27330&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]16.476302259887[/C][C]Range[/C][C]12.3[/C][C]Trim Var.[/C][C]12.5819457013575[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.142168322618352[/C][C]Range[/C][C]2.09999999999999[/C][C]Trim Var.[/C][C]0.0613134978229323[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]0.220172413793105[/C][C]Range[/C][C]2.20000000000000[/C][C]Trim Var.[/C][C]0.108995918367348[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]0.617243107769426[/C][C]Range[/C][C]3.80000000000001[/C][C]Trim Var.[/C][C]0.357458823529414[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]3.41652482269503[/C][C]Range[/C][C]5.80000000000001[/C][C]Trim Var.[/C][C]2.83600464576074[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]0.249176688251620[/C][C]Range[/C][C]2.19999999999999[/C][C]Trim Var.[/C][C]0.139804878048782[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]0.412971014492755[/C][C]Range[/C][C]2.70000000000000[/C][C]Trim Var.[/C][C]0.250743589743592[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]1.08336363636364[/C][C]Range[/C][C]4.49999999999999[/C][C]Trim Var.[/C][C]0.621902834008104[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]1.95621428571429[/C][C]Range[/C][C]5.40000000000001[/C][C]Trim Var.[/C][C]1.45813508064516[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]0.628100840336137[/C][C]Range[/C][C]3.5[/C][C]Trim Var.[/C][C]0.353827956989252[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]1.18047237076649[/C][C]Range[/C][C]4.49999999999999[/C][C]Trim Var.[/C][C]0.767126436781618[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]2.99041666666667[/C][C]Range[/C][C]7.8[/C][C]Trim Var.[/C][C]1.74544334975372[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=27330&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=27330&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)16.476302259887Range12.3Trim Var.12.5819457013575
V(Y[t],d=1,D=0)0.142168322618352Range2.09999999999999Trim Var.0.0613134978229323
V(Y[t],d=2,D=0)0.220172413793105Range2.20000000000000Trim Var.0.108995918367348
V(Y[t],d=3,D=0)0.617243107769426Range3.80000000000001Trim Var.0.357458823529414
V(Y[t],d=0,D=1)3.41652482269503Range5.80000000000001Trim Var.2.83600464576074
V(Y[t],d=1,D=1)0.249176688251620Range2.19999999999999Trim Var.0.139804878048782
V(Y[t],d=2,D=1)0.412971014492755Range2.70000000000000Trim Var.0.250743589743592
V(Y[t],d=3,D=1)1.08336363636364Range4.49999999999999Trim Var.0.621902834008104
V(Y[t],d=0,D=2)1.95621428571429Range5.40000000000001Trim Var.1.45813508064516
V(Y[t],d=1,D=2)0.628100840336137Range3.5Trim Var.0.353827956989252
V(Y[t],d=2,D=2)1.18047237076649Range4.49999999999999Trim Var.0.767126436781618
V(Y[t],d=3,D=2)2.99041666666667Range7.8Trim Var.1.74544334975372


Figures (Output of Computation)

Input Parameters & R Code

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')