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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 computationTue, 24 Nov 2009 10:59:24 -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/24/t1259085646lsp8g6bhwpzcnah.htm/, Retrieved Thu, 05 Dec 2024 23:27:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=59190, Retrieved Thu, 05 Dec 2024 23:27:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact202

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] [Model 2: VRM] [2009-11-24 17:59:24] [acc980be4047884b6edd254cd7beb9fa] [Current]
- R PD            [Variance Reduction Matrix] [] [2009-12-19 15:45:47] [a3c75f2af6eea9d676b2dadad1cedbf1]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
8.2
8
7.5
6.8
6.5
6.6
7.6
8
8.1
7.7
7.5
7.6
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
8

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=59190&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=59190&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59190&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)0.439863597612958Range2.4Trim Var.0.308980225988701
V(Y[t],d=1,D=0)0.127155399473222Range1.9Trim Var.0.0572203389830508
V(Y[t],d=2,D=0)0.143482587064677Range1.9Trim Var.0.0866510812390415
V(Y[t],d=3,D=0)0.282613053613054Range3Trim Var.0.115983061101028
V(Y[t],d=0,D=1)0.579667919799499Range2.9Trim Var.0.412031372549020
V(Y[t],d=1,D=1)0.128905844155844Range1.6Trim Var.0.0812408163265306
V(Y[t],d=2,D=1)0.124626262626263Range1.6Trim Var.0.0823005319148935
V(Y[t],d=3,D=1)0.221132075471698Range2.10000000000000Trim Var.0.12886524822695
V(Y[t],d=0,D=2)1.01290909090909Range4.5Trim Var.0.507827260458839
V(Y[t],d=1,D=2)0.22534355179704Range2.9Trim Var.0.0878678678678678
V(Y[t],d=2,D=2)0.260276854928017Range2.2Trim Var.0.134414414414414
V(Y[t],d=3,D=2)0.561004645760742Range3.8Trim Var.0.266499999999999

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 0.439863597612958 & Range & 2.4 & Trim Var. & 0.308980225988701 \tabularnewline
V(Y[t],d=1,D=0) & 0.127155399473222 & Range & 1.9 & Trim Var. & 0.0572203389830508 \tabularnewline
V(Y[t],d=2,D=0) & 0.143482587064677 & Range & 1.9 & Trim Var. & 0.0866510812390415 \tabularnewline
V(Y[t],d=3,D=0) & 0.282613053613054 & Range & 3 & Trim Var. & 0.115983061101028 \tabularnewline
V(Y[t],d=0,D=1) & 0.579667919799499 & Range & 2.9 & Trim Var. & 0.412031372549020 \tabularnewline
V(Y[t],d=1,D=1) & 0.128905844155844 & Range & 1.6 & Trim Var. & 0.0812408163265306 \tabularnewline
V(Y[t],d=2,D=1) & 0.124626262626263 & Range & 1.6 & Trim Var. & 0.0823005319148935 \tabularnewline
V(Y[t],d=3,D=1) & 0.221132075471698 & Range & 2.10000000000000 & Trim Var. & 0.12886524822695 \tabularnewline
V(Y[t],d=0,D=2) & 1.01290909090909 & Range & 4.5 & Trim Var. & 0.507827260458839 \tabularnewline
V(Y[t],d=1,D=2) & 0.22534355179704 & Range & 2.9 & Trim Var. & 0.0878678678678678 \tabularnewline
V(Y[t],d=2,D=2) & 0.260276854928017 & Range & 2.2 & Trim Var. & 0.134414414414414 \tabularnewline
V(Y[t],d=3,D=2) & 0.561004645760742 & Range & 3.8 & Trim Var. & 0.266499999999999 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59190&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]0.439863597612958[/C][C]Range[/C][C]2.4[/C][C]Trim Var.[/C][C]0.308980225988701[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.127155399473222[/C][C]Range[/C][C]1.9[/C][C]Trim Var.[/C][C]0.0572203389830508[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]0.143482587064677[/C][C]Range[/C][C]1.9[/C][C]Trim Var.[/C][C]0.0866510812390415[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]0.282613053613054[/C][C]Range[/C][C]3[/C][C]Trim Var.[/C][C]0.115983061101028[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]0.579667919799499[/C][C]Range[/C][C]2.9[/C][C]Trim Var.[/C][C]0.412031372549020[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]0.128905844155844[/C][C]Range[/C][C]1.6[/C][C]Trim Var.[/C][C]0.0812408163265306[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]0.124626262626263[/C][C]Range[/C][C]1.6[/C][C]Trim Var.[/C][C]0.0823005319148935[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]0.221132075471698[/C][C]Range[/C][C]2.10000000000000[/C][C]Trim Var.[/C][C]0.12886524822695[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]1.01290909090909[/C][C]Range[/C][C]4.5[/C][C]Trim Var.[/C][C]0.507827260458839[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]0.22534355179704[/C][C]Range[/C][C]2.9[/C][C]Trim Var.[/C][C]0.0878678678678678[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]0.260276854928017[/C][C]Range[/C][C]2.2[/C][C]Trim Var.[/C][C]0.134414414414414[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]0.561004645760742[/C][C]Range[/C][C]3.8[/C][C]Trim Var.[/C][C]0.266499999999999[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=59190&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59190&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)0.439863597612958Range2.4Trim Var.0.308980225988701
V(Y[t],d=1,D=0)0.127155399473222Range1.9Trim Var.0.0572203389830508
V(Y[t],d=2,D=0)0.143482587064677Range1.9Trim Var.0.0866510812390415
V(Y[t],d=3,D=0)0.282613053613054Range3Trim Var.0.115983061101028
V(Y[t],d=0,D=1)0.579667919799499Range2.9Trim Var.0.412031372549020
V(Y[t],d=1,D=1)0.128905844155844Range1.6Trim Var.0.0812408163265306
V(Y[t],d=2,D=1)0.124626262626263Range1.6Trim Var.0.0823005319148935
V(Y[t],d=3,D=1)0.221132075471698Range2.10000000000000Trim Var.0.12886524822695
V(Y[t],d=0,D=2)1.01290909090909Range4.5Trim Var.0.507827260458839
V(Y[t],d=1,D=2)0.22534355179704Range2.9Trim Var.0.0878678678678678
V(Y[t],d=2,D=2)0.260276854928017Range2.2Trim Var.0.134414414414414
V(Y[t],d=3,D=2)0.561004645760742Range3.8Trim Var.0.266499999999999


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')