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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 07:55:21 -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/t1259333787mzpbjv0tuccqytj.htm/, Retrieved Sun, 28 Apr 2024 22:14:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=60859, Retrieved Sun, 28 Apr 2024 22:14:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsworkshop 8 variantie
Estimated Impact159

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] [workshop 8 bereke...] [2009-11-27 10:13:44] [eaf42bcf5162b5692bb3c7f9d4636222]
-    D            [Variance Reduction Matrix] [workshop 8 variantie] [2009-11-27 14:55:21] [ac4f1d4b47349b2602192853b2bc5b72] [Current]
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Dataset

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

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=60859&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=60859&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60859&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)0.496180327868852Range3.2Trim Var.0.273963265306122
V(Y[t],d=1,D=0)0.110225988700565Range1.8Trim Var.0.0420965309200603
V(Y[t],d=2,D=0)0.147574517825833Range1.9Trim Var.0.0913425253991291
V(Y[t],d=3,D=0)0.299470659407138Range2.8Trim Var.0.143589743589743
V(Y[t],d=0,D=1)0.479132653061225Range2.9Trim Var.0.286256921373201
V(Y[t],d=1,D=1)0.100407801418440Range1.5Trim Var.0.0431649245063880
V(Y[t],d=2,D=1)0.0947826086956523Range1.40000000000000Trim Var.0.0545975609756098
V(Y[t],d=3,D=1)0.150884057971015Range1.7Trim Var.0.0851282051282052
V(Y[t],d=0,D=2)1.18195195195195Range4Trim Var.0.78217803030303
V(Y[t],d=1,D=2)0.268539682539683Range2.5Trim Var.0.133618951612903
V(Y[t],d=2,D=2)0.235159663865546Range2.10000000000000Trim Var.0.132494623655914
V(Y[t],d=3,D=2)0.388493761140819Range2.60000000000000Trim Var.0.225988505747126

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 0.496180327868852 & Range & 3.2 & Trim Var. & 0.273963265306122 \tabularnewline
V(Y[t],d=1,D=0) & 0.110225988700565 & Range & 1.8 & Trim Var. & 0.0420965309200603 \tabularnewline
V(Y[t],d=2,D=0) & 0.147574517825833 & Range & 1.9 & Trim Var. & 0.0913425253991291 \tabularnewline
V(Y[t],d=3,D=0) & 0.299470659407138 & Range & 2.8 & Trim Var. & 0.143589743589743 \tabularnewline
V(Y[t],d=0,D=1) & 0.479132653061225 & Range & 2.9 & Trim Var. & 0.286256921373201 \tabularnewline
V(Y[t],d=1,D=1) & 0.100407801418440 & Range & 1.5 & Trim Var. & 0.0431649245063880 \tabularnewline
V(Y[t],d=2,D=1) & 0.0947826086956523 & Range & 1.40000000000000 & Trim Var. & 0.0545975609756098 \tabularnewline
V(Y[t],d=3,D=1) & 0.150884057971015 & Range & 1.7 & Trim Var. & 0.0851282051282052 \tabularnewline
V(Y[t],d=0,D=2) & 1.18195195195195 & Range & 4 & Trim Var. & 0.78217803030303 \tabularnewline
V(Y[t],d=1,D=2) & 0.268539682539683 & Range & 2.5 & Trim Var. & 0.133618951612903 \tabularnewline
V(Y[t],d=2,D=2) & 0.235159663865546 & Range & 2.10000000000000 & Trim Var. & 0.132494623655914 \tabularnewline
V(Y[t],d=3,D=2) & 0.388493761140819 & Range & 2.60000000000000 & Trim Var. & 0.225988505747126 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=60859&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]0.496180327868852[/C][C]Range[/C][C]3.2[/C][C]Trim Var.[/C][C]0.273963265306122[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.110225988700565[/C][C]Range[/C][C]1.8[/C][C]Trim Var.[/C][C]0.0420965309200603[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]0.147574517825833[/C][C]Range[/C][C]1.9[/C][C]Trim Var.[/C][C]0.0913425253991291[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]0.299470659407138[/C][C]Range[/C][C]2.8[/C][C]Trim Var.[/C][C]0.143589743589743[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]0.479132653061225[/C][C]Range[/C][C]2.9[/C][C]Trim Var.[/C][C]0.286256921373201[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]0.100407801418440[/C][C]Range[/C][C]1.5[/C][C]Trim Var.[/C][C]0.0431649245063880[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]0.0947826086956523[/C][C]Range[/C][C]1.40000000000000[/C][C]Trim Var.[/C][C]0.0545975609756098[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]0.150884057971015[/C][C]Range[/C][C]1.7[/C][C]Trim Var.[/C][C]0.0851282051282052[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]1.18195195195195[/C][C]Range[/C][C]4[/C][C]Trim Var.[/C][C]0.78217803030303[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]0.268539682539683[/C][C]Range[/C][C]2.5[/C][C]Trim Var.[/C][C]0.133618951612903[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]0.235159663865546[/C][C]Range[/C][C]2.10000000000000[/C][C]Trim Var.[/C][C]0.132494623655914[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]0.388493761140819[/C][C]Range[/C][C]2.60000000000000[/C][C]Trim Var.[/C][C]0.225988505747126[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=60859&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60859&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)0.496180327868852Range3.2Trim Var.0.273963265306122
V(Y[t],d=1,D=0)0.110225988700565Range1.8Trim Var.0.0420965309200603
V(Y[t],d=2,D=0)0.147574517825833Range1.9Trim Var.0.0913425253991291
V(Y[t],d=3,D=0)0.299470659407138Range2.8Trim Var.0.143589743589743
V(Y[t],d=0,D=1)0.479132653061225Range2.9Trim Var.0.286256921373201
V(Y[t],d=1,D=1)0.100407801418440Range1.5Trim Var.0.0431649245063880
V(Y[t],d=2,D=1)0.0947826086956523Range1.40000000000000Trim Var.0.0545975609756098
V(Y[t],d=3,D=1)0.150884057971015Range1.7Trim Var.0.0851282051282052
V(Y[t],d=0,D=2)1.18195195195195Range4Trim Var.0.78217803030303
V(Y[t],d=1,D=2)0.268539682539683Range2.5Trim Var.0.133618951612903
V(Y[t],d=2,D=2)0.235159663865546Range2.10000000000000Trim Var.0.132494623655914
V(Y[t],d=3,D=2)0.388493761140819Range2.60000000000000Trim Var.0.225988505747126


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')