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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, 04 Dec 2009 07:05:44 -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/2009/Dec/04/t1259935628wumd2qzjenmve5n.htm/, Retrieved Sat, 27 Apr 2024 22:02:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63552, Retrieved Sat, 27 Apr 2024 22:02:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact136

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] [Review workshop 8] [2009-12-04 14:05:44] [aef022288383377281176d9807aba5bf] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
5.4
5.4
5.6
5.7
5.8
5.8
5.8
5.9
6.1
6.4
6.4
6.3
6.2
6.2
6.3
6.4
6.5
6.6
6.6
6.6
6.8
7
7.2
7.3
7.5
7.6
7.6
7.7
7.7
7.7
7.7
7.6
7.7
7.9
7.9
7.9
7.8
7.6
7.4
7
7
7.2
7.5
7.8
7.8
7.7
7.6
7.5
7.5
7.5
7.5
7.6
7.9
7.6
7.5
7.5
7.6
7.7
7.9
7.9

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=63552&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=63552&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63552&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)0.581649717514124Range2.5Trim Var.0.448917647058823
V(Y[t],d=1,D=0)0.0200701344243133Range0.700000000000001Trim Var.0.0103318250377074
V(Y[t],d=2,D=0)0.0231578947368422Range1.00000000000000Trim Var.0.0099843137254902
V(Y[t],d=3,D=0)0.052449874686717Range1.60000000000000Trim Var.0.01625
V(Y[t],d=0,D=1)0.333080673758865Range2.1Trim Var.0.225719512195122
V(Y[t],d=1,D=1)0.0494912118408881Range1Trim Var.0.02625
V(Y[t],d=2,D=1)0.0486618357487924Range1.30000000000000Trim Var.0.0162887989203779
V(Y[t],d=3,D=1)0.101131313131314Range1.50000000000001Trim Var.0.049041835357625
V(Y[t],d=0,D=2)0.833420634920635Range3.6Trim Var.0.566118951612903
V(Y[t],d=1,D=2)0.154924369747899Range1.70000000000000Trim Var.0.101290322580645
V(Y[t],d=2,D=2)0.142112299465241Range1.90000000000000Trim Var.0.0698965517241381
V(Y[t],d=3,D=2)0.297178030303032Range2.30000000000001Trim Var.0.190344827586208

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 0.581649717514124 & Range & 2.5 & Trim Var. & 0.448917647058823 \tabularnewline
V(Y[t],d=1,D=0) & 0.0200701344243133 & Range & 0.700000000000001 & Trim Var. & 0.0103318250377074 \tabularnewline
V(Y[t],d=2,D=0) & 0.0231578947368422 & Range & 1.00000000000000 & Trim Var. & 0.0099843137254902 \tabularnewline
V(Y[t],d=3,D=0) & 0.052449874686717 & Range & 1.60000000000000 & Trim Var. & 0.01625 \tabularnewline
V(Y[t],d=0,D=1) & 0.333080673758865 & Range & 2.1 & Trim Var. & 0.225719512195122 \tabularnewline
V(Y[t],d=1,D=1) & 0.0494912118408881 & Range & 1 & Trim Var. & 0.02625 \tabularnewline
V(Y[t],d=2,D=1) & 0.0486618357487924 & Range & 1.30000000000000 & Trim Var. & 0.0162887989203779 \tabularnewline
V(Y[t],d=3,D=1) & 0.101131313131314 & Range & 1.50000000000001 & Trim Var. & 0.049041835357625 \tabularnewline
V(Y[t],d=0,D=2) & 0.833420634920635 & Range & 3.6 & Trim Var. & 0.566118951612903 \tabularnewline
V(Y[t],d=1,D=2) & 0.154924369747899 & Range & 1.70000000000000 & Trim Var. & 0.101290322580645 \tabularnewline
V(Y[t],d=2,D=2) & 0.142112299465241 & Range & 1.90000000000000 & Trim Var. & 0.0698965517241381 \tabularnewline
V(Y[t],d=3,D=2) & 0.297178030303032 & Range & 2.30000000000001 & Trim Var. & 0.190344827586208 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63552&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]0.581649717514124[/C][C]Range[/C][C]2.5[/C][C]Trim Var.[/C][C]0.448917647058823[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.0200701344243133[/C][C]Range[/C][C]0.700000000000001[/C][C]Trim Var.[/C][C]0.0103318250377074[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]0.0231578947368422[/C][C]Range[/C][C]1.00000000000000[/C][C]Trim Var.[/C][C]0.0099843137254902[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]0.052449874686717[/C][C]Range[/C][C]1.60000000000000[/C][C]Trim Var.[/C][C]0.01625[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]0.333080673758865[/C][C]Range[/C][C]2.1[/C][C]Trim Var.[/C][C]0.225719512195122[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]0.0494912118408881[/C][C]Range[/C][C]1[/C][C]Trim Var.[/C][C]0.02625[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]0.0486618357487924[/C][C]Range[/C][C]1.30000000000000[/C][C]Trim Var.[/C][C]0.0162887989203779[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]0.101131313131314[/C][C]Range[/C][C]1.50000000000001[/C][C]Trim Var.[/C][C]0.049041835357625[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]0.833420634920635[/C][C]Range[/C][C]3.6[/C][C]Trim Var.[/C][C]0.566118951612903[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]0.154924369747899[/C][C]Range[/C][C]1.70000000000000[/C][C]Trim Var.[/C][C]0.101290322580645[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]0.142112299465241[/C][C]Range[/C][C]1.90000000000000[/C][C]Trim Var.[/C][C]0.0698965517241381[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]0.297178030303032[/C][C]Range[/C][C]2.30000000000001[/C][C]Trim Var.[/C][C]0.190344827586208[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63552&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63552&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)0.581649717514124Range2.5Trim Var.0.448917647058823
V(Y[t],d=1,D=0)0.0200701344243133Range0.700000000000001Trim Var.0.0103318250377074
V(Y[t],d=2,D=0)0.0231578947368422Range1.00000000000000Trim Var.0.0099843137254902
V(Y[t],d=3,D=0)0.052449874686717Range1.60000000000000Trim Var.0.01625
V(Y[t],d=0,D=1)0.333080673758865Range2.1Trim Var.0.225719512195122
V(Y[t],d=1,D=1)0.0494912118408881Range1Trim Var.0.02625
V(Y[t],d=2,D=1)0.0486618357487924Range1.30000000000000Trim Var.0.0162887989203779
V(Y[t],d=3,D=1)0.101131313131314Range1.50000000000001Trim Var.0.049041835357625
V(Y[t],d=0,D=2)0.833420634920635Range3.6Trim Var.0.566118951612903
V(Y[t],d=1,D=2)0.154924369747899Range1.70000000000000Trim Var.0.101290322580645
V(Y[t],d=2,D=2)0.142112299465241Range1.90000000000000Trim Var.0.0698965517241381
V(Y[t],d=3,D=2)0.297178030303032Range2.30000000000001Trim Var.0.190344827586208


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')