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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, 27 Nov 2009 08:28:21 -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/Nov/27/t1259335753c1mo2qt9xtpvhjd.htm/, Retrieved Sun, 28 Apr 2024 22:23:05 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=60900, Retrieved Sun, 28 Apr 2024 22:23:05 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsDSHW, SDHW
Estimated Impact133

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] [DSHW-WS8-VRM1] [2009-11-27 15:28:21] [36295456a56d4c7dcc9b9537ce63463b] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
7,8
7,8
7,8
7,5
7,5
7,1
7,5
7,5
7,6
7,7
7,7
7,9
8,1
8,2
8,2
8,2
7,9
7,3
6,9
6,6
6,7
6,9
7
7,1
7,2
7,1
6,9
7
6,8
6,4
6,7
6,6
6,4
6,3
6,2
6,5
6,8
6,8
6,4
6,1
5,8
6,1
7,2
7,3
6,9
6,1
5,8
6,2
7,1
7,7
7,9
7,7
7,4
7,5
8
8,1

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'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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=60900&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=60900&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60900&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'Gwilym Jenkins' @ 72.249.127.135






Variance Reduction Matrix
V(Y[t],d=0,D=0)0.439737012987013Range2.4Trim Var.0.295159574468085
V(Y[t],d=1,D=0)0.114969696969697Range1.9Trim Var.0.0555187074829932
V(Y[t],d=2,D=0)0.137543675751223Range1.8Trim Var.0.087406914893617
V(Y[t],d=3,D=0)0.281865021770682Range3Trim Var.0.123903792784459
V(Y[t],d=0,D=1)0.654228329809725Range2.9Trim Var.0.432724039829303
V(Y[t],d=1,D=1)0.129147286821705Range1.6Trim Var.0.0643243243243243
V(Y[t],d=2,D=1)0.129506387921022Range1.4Trim Var.0.085111111111111
V(Y[t],d=3,D=1)0.239451219512195Range2.10000000000000Trim Var.0.119966386554621
V(Y[t],d=0,D=2)1.20564516129032Range4.5Trim Var.0.682261904761905
V(Y[t],d=1,D=2)0.279849462365591Range2.9Trim Var.0.104900284900285
V(Y[t],d=2,D=2)0.289988505747126Range2.2Trim Var.0.150338461538461
V(Y[t],d=3,D=2)0.557438423645318Range3.8Trim Var.0.243333333333332

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 0.439737012987013 & Range & 2.4 & Trim Var. & 0.295159574468085 \tabularnewline
V(Y[t],d=1,D=0) & 0.114969696969697 & Range & 1.9 & Trim Var. & 0.0555187074829932 \tabularnewline
V(Y[t],d=2,D=0) & 0.137543675751223 & Range & 1.8 & Trim Var. & 0.087406914893617 \tabularnewline
V(Y[t],d=3,D=0) & 0.281865021770682 & Range & 3 & Trim Var. & 0.123903792784459 \tabularnewline
V(Y[t],d=0,D=1) & 0.654228329809725 & Range & 2.9 & Trim Var. & 0.432724039829303 \tabularnewline
V(Y[t],d=1,D=1) & 0.129147286821705 & Range & 1.6 & Trim Var. & 0.0643243243243243 \tabularnewline
V(Y[t],d=2,D=1) & 0.129506387921022 & Range & 1.4 & Trim Var. & 0.085111111111111 \tabularnewline
V(Y[t],d=3,D=1) & 0.239451219512195 & Range & 2.10000000000000 & Trim Var. & 0.119966386554621 \tabularnewline
V(Y[t],d=0,D=2) & 1.20564516129032 & Range & 4.5 & Trim Var. & 0.682261904761905 \tabularnewline
V(Y[t],d=1,D=2) & 0.279849462365591 & Range & 2.9 & Trim Var. & 0.104900284900285 \tabularnewline
V(Y[t],d=2,D=2) & 0.289988505747126 & Range & 2.2 & Trim Var. & 0.150338461538461 \tabularnewline
V(Y[t],d=3,D=2) & 0.557438423645318 & Range & 3.8 & Trim Var. & 0.243333333333332 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=60900&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]0.439737012987013[/C][C]Range[/C][C]2.4[/C][C]Trim Var.[/C][C]0.295159574468085[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.114969696969697[/C][C]Range[/C][C]1.9[/C][C]Trim Var.[/C][C]0.0555187074829932[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]0.137543675751223[/C][C]Range[/C][C]1.8[/C][C]Trim Var.[/C][C]0.087406914893617[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]0.281865021770682[/C][C]Range[/C][C]3[/C][C]Trim Var.[/C][C]0.123903792784459[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]0.654228329809725[/C][C]Range[/C][C]2.9[/C][C]Trim Var.[/C][C]0.432724039829303[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]0.129147286821705[/C][C]Range[/C][C]1.6[/C][C]Trim Var.[/C][C]0.0643243243243243[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]0.129506387921022[/C][C]Range[/C][C]1.4[/C][C]Trim Var.[/C][C]0.085111111111111[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]0.239451219512195[/C][C]Range[/C][C]2.10000000000000[/C][C]Trim Var.[/C][C]0.119966386554621[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]1.20564516129032[/C][C]Range[/C][C]4.5[/C][C]Trim Var.[/C][C]0.682261904761905[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]0.279849462365591[/C][C]Range[/C][C]2.9[/C][C]Trim Var.[/C][C]0.104900284900285[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]0.289988505747126[/C][C]Range[/C][C]2.2[/C][C]Trim Var.[/C][C]0.150338461538461[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]0.557438423645318[/C][C]Range[/C][C]3.8[/C][C]Trim Var.[/C][C]0.243333333333332[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=60900&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60900&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)0.439737012987013Range2.4Trim Var.0.295159574468085
V(Y[t],d=1,D=0)0.114969696969697Range1.9Trim Var.0.0555187074829932
V(Y[t],d=2,D=0)0.137543675751223Range1.8Trim Var.0.087406914893617
V(Y[t],d=3,D=0)0.281865021770682Range3Trim Var.0.123903792784459
V(Y[t],d=0,D=1)0.654228329809725Range2.9Trim Var.0.432724039829303
V(Y[t],d=1,D=1)0.129147286821705Range1.6Trim Var.0.0643243243243243
V(Y[t],d=2,D=1)0.129506387921022Range1.4Trim Var.0.085111111111111
V(Y[t],d=3,D=1)0.239451219512195Range2.10000000000000Trim Var.0.119966386554621
V(Y[t],d=0,D=2)1.20564516129032Range4.5Trim Var.0.682261904761905
V(Y[t],d=1,D=2)0.279849462365591Range2.9Trim Var.0.104900284900285
V(Y[t],d=2,D=2)0.289988505747126Range2.2Trim Var.0.150338461538461
V(Y[t],d=3,D=2)0.557438423645318Range3.8Trim Var.0.243333333333332


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')