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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 07:36:27 -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/t1259937433hdq65q9baydvzif.htm/, Retrieved Sun, 28 Apr 2024 04:18:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63622, Retrieved Sun, 28 Apr 2024 04:18:37 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact120

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Notched Boxplots] [3/11/2009] [2009-11-02 21:10:41] [b98453cac15ba1066b407e146608df68]
- RMPD  [Multiple Regression] [Paper:Bryan Beute...] [2009-12-04 12:54:13] [408e92805dcb18620260f240a7fb9d53]
- RMPD      [Variance Reduction Matrix] [Paper:Bryan Beute...] [2009-12-04 14:36:27] [b32ceebc68d054278e6bda97f3d57f91] [Current]
-    D        [Variance Reduction Matrix] [CVM Paper: Variat...] [2009-12-17 13:52:36] [03d5b865e91ca35b5a5d21b8d6da5aba]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
100
83
83
83
82
71
82
86
64
66
63
67
41
65
68
90
98
108
92
100
87
91
77
72
59
55
69
71
88
88
97
94
82
75
66
71
83
97
88
89
70

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=63622&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=63622&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63622&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)201.704878048781Range67Trim Var.114.878991596639
V(Y[t],d=1,D=0)141.525641025641Range50Trim Var.94.2920634920635
V(Y[t],d=2,D=0)309.944669365722Range80Trim Var.183.255681818182
V(Y[t],d=3,D=0)1030.67496443812Range151Trim Var.606.121212121212
V(Y[t],d=0,D=1)141.525641025641Range50Trim Var.94.2920634920635
V(Y[t],d=1,D=1)309.944669365722Range80Trim Var.183.255681818182
V(Y[t],d=2,D=1)1030.67496443812Range151Trim Var.606.121212121212
V(Y[t],d=3,D=1)3818.4009009009Range268Trim Var.2488.44507575758
V(Y[t],d=0,D=2)309.944669365722Range80Trim Var.183.255681818182
V(Y[t],d=1,D=2)1030.67496443812Range151Trim Var.606.121212121212
V(Y[t],d=2,D=2)3818.4009009009Range268Trim Var.2488.44507575758
V(Y[t],d=3,D=2)14575.8753968254Range530Trim Var.9812.28125

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 201.704878048781 & Range & 67 & Trim Var. & 114.878991596639 \tabularnewline
V(Y[t],d=1,D=0) & 141.525641025641 & Range & 50 & Trim Var. & 94.2920634920635 \tabularnewline
V(Y[t],d=2,D=0) & 309.944669365722 & Range & 80 & Trim Var. & 183.255681818182 \tabularnewline
V(Y[t],d=3,D=0) & 1030.67496443812 & Range & 151 & Trim Var. & 606.121212121212 \tabularnewline
V(Y[t],d=0,D=1) & 141.525641025641 & Range & 50 & Trim Var. & 94.2920634920635 \tabularnewline
V(Y[t],d=1,D=1) & 309.944669365722 & Range & 80 & Trim Var. & 183.255681818182 \tabularnewline
V(Y[t],d=2,D=1) & 1030.67496443812 & Range & 151 & Trim Var. & 606.121212121212 \tabularnewline
V(Y[t],d=3,D=1) & 3818.4009009009 & Range & 268 & Trim Var. & 2488.44507575758 \tabularnewline
V(Y[t],d=0,D=2) & 309.944669365722 & Range & 80 & Trim Var. & 183.255681818182 \tabularnewline
V(Y[t],d=1,D=2) & 1030.67496443812 & Range & 151 & Trim Var. & 606.121212121212 \tabularnewline
V(Y[t],d=2,D=2) & 3818.4009009009 & Range & 268 & Trim Var. & 2488.44507575758 \tabularnewline
V(Y[t],d=3,D=2) & 14575.8753968254 & Range & 530 & Trim Var. & 9812.28125 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63622&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]201.704878048781[/C][C]Range[/C][C]67[/C][C]Trim Var.[/C][C]114.878991596639[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]141.525641025641[/C][C]Range[/C][C]50[/C][C]Trim Var.[/C][C]94.2920634920635[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]309.944669365722[/C][C]Range[/C][C]80[/C][C]Trim Var.[/C][C]183.255681818182[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]1030.67496443812[/C][C]Range[/C][C]151[/C][C]Trim Var.[/C][C]606.121212121212[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]141.525641025641[/C][C]Range[/C][C]50[/C][C]Trim Var.[/C][C]94.2920634920635[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]309.944669365722[/C][C]Range[/C][C]80[/C][C]Trim Var.[/C][C]183.255681818182[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]1030.67496443812[/C][C]Range[/C][C]151[/C][C]Trim Var.[/C][C]606.121212121212[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]3818.4009009009[/C][C]Range[/C][C]268[/C][C]Trim Var.[/C][C]2488.44507575758[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]309.944669365722[/C][C]Range[/C][C]80[/C][C]Trim Var.[/C][C]183.255681818182[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]1030.67496443812[/C][C]Range[/C][C]151[/C][C]Trim Var.[/C][C]606.121212121212[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]3818.4009009009[/C][C]Range[/C][C]268[/C][C]Trim Var.[/C][C]2488.44507575758[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]14575.8753968254[/C][C]Range[/C][C]530[/C][C]Trim Var.[/C][C]9812.28125[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63622&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63622&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)201.704878048781Range67Trim Var.114.878991596639
V(Y[t],d=1,D=0)141.525641025641Range50Trim Var.94.2920634920635
V(Y[t],d=2,D=0)309.944669365722Range80Trim Var.183.255681818182
V(Y[t],d=3,D=0)1030.67496443812Range151Trim Var.606.121212121212
V(Y[t],d=0,D=1)141.525641025641Range50Trim Var.94.2920634920635
V(Y[t],d=1,D=1)309.944669365722Range80Trim Var.183.255681818182
V(Y[t],d=2,D=1)1030.67496443812Range151Trim Var.606.121212121212
V(Y[t],d=3,D=1)3818.4009009009Range268Trim Var.2488.44507575758
V(Y[t],d=0,D=2)309.944669365722Range80Trim Var.183.255681818182
V(Y[t],d=1,D=2)1030.67496443812Range151Trim Var.606.121212121212
V(Y[t],d=2,D=2)3818.4009009009Range268Trim Var.2488.44507575758
V(Y[t],d=3,D=2)14575.8753968254Range530Trim Var.9812.28125


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ;
Parameters (R input):
par1 = 1 ;
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')