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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 computationThu, 10 Dec 2009 08:05:09 -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/10/t1260457726f0lqy9onjztsdlp.htm/, Retrieved Thu, 25 Apr 2024 10:30:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=65450, Retrieved Thu, 25 Apr 2024 10:30:54 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact165

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] [VRM Mannen] [2008-12-23 19:45:52] [ab2167f62c8fd37f7bb79fc194eace61]
-  M D    [Variance Reduction Matrix] [Paper - 4] [2009-12-10 15:05:09] [64da8748fbb01eed936684060058da39] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
55
43
55
50
44
59
41
25
46
47
50
51
41
54
55
43
53
59
54
49
62
57
60
55
69
62
65
55
66
67
59
54
60
65
59
68
58
75
61
59
69
64
62
60
59
54
58
59
69
81
74
54
68
74
51
61
46
56
50
59
53

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=65450&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=65450&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65450&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)91.579781420765Range56Trim Var.40.6802413273002
V(Y[t],d=1,D=0)101.253107344633Range44Trim Var.71.0440251572327
V(Y[t],d=2,D=0)294.954997077732Range70Trim Var.203.894775036284
V(Y[t],d=3,D=0)945.276769509982Range120Trim Var.693.430995475113
V(Y[t],d=0,D=1)91.75Range44Trim Var.53.9490586932447
V(Y[t],d=1,D=1)154.551418439716Range49Trim Var.99.2102206736353
V(Y[t],d=2,D=1)499.244218316374Range92Trim Var.340.662195121951
V(Y[t],d=3,D=1)1764.55265700483Range175Trim Var.1183.94615384615
V(Y[t],d=0,D=2)232.456456456456Range81Trim Var.120.335227272727
V(Y[t],d=1,D=2)492.992857142857Range92Trim Var.292.193548387097
V(Y[t],d=2,D=2)1608.96134453782Range165Trim Var.1064.39784946237
V(Y[t],d=3,D=2)5753.82174688057Range315Trim Var.3622.86896551724

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 91.579781420765 & Range & 56 & Trim Var. & 40.6802413273002 \tabularnewline
V(Y[t],d=1,D=0) & 101.253107344633 & Range & 44 & Trim Var. & 71.0440251572327 \tabularnewline
V(Y[t],d=2,D=0) & 294.954997077732 & Range & 70 & Trim Var. & 203.894775036284 \tabularnewline
V(Y[t],d=3,D=0) & 945.276769509982 & Range & 120 & Trim Var. & 693.430995475113 \tabularnewline
V(Y[t],d=0,D=1) & 91.75 & Range & 44 & Trim Var. & 53.9490586932447 \tabularnewline
V(Y[t],d=1,D=1) & 154.551418439716 & Range & 49 & Trim Var. & 99.2102206736353 \tabularnewline
V(Y[t],d=2,D=1) & 499.244218316374 & Range & 92 & Trim Var. & 340.662195121951 \tabularnewline
V(Y[t],d=3,D=1) & 1764.55265700483 & Range & 175 & Trim Var. & 1183.94615384615 \tabularnewline
V(Y[t],d=0,D=2) & 232.456456456456 & Range & 81 & Trim Var. & 120.335227272727 \tabularnewline
V(Y[t],d=1,D=2) & 492.992857142857 & Range & 92 & Trim Var. & 292.193548387097 \tabularnewline
V(Y[t],d=2,D=2) & 1608.96134453782 & Range & 165 & Trim Var. & 1064.39784946237 \tabularnewline
V(Y[t],d=3,D=2) & 5753.82174688057 & Range & 315 & Trim Var. & 3622.86896551724 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65450&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]91.579781420765[/C][C]Range[/C][C]56[/C][C]Trim Var.[/C][C]40.6802413273002[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]101.253107344633[/C][C]Range[/C][C]44[/C][C]Trim Var.[/C][C]71.0440251572327[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]294.954997077732[/C][C]Range[/C][C]70[/C][C]Trim Var.[/C][C]203.894775036284[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]945.276769509982[/C][C]Range[/C][C]120[/C][C]Trim Var.[/C][C]693.430995475113[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]91.75[/C][C]Range[/C][C]44[/C][C]Trim Var.[/C][C]53.9490586932447[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]154.551418439716[/C][C]Range[/C][C]49[/C][C]Trim Var.[/C][C]99.2102206736353[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]499.244218316374[/C][C]Range[/C][C]92[/C][C]Trim Var.[/C][C]340.662195121951[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]1764.55265700483[/C][C]Range[/C][C]175[/C][C]Trim Var.[/C][C]1183.94615384615[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]232.456456456456[/C][C]Range[/C][C]81[/C][C]Trim Var.[/C][C]120.335227272727[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]492.992857142857[/C][C]Range[/C][C]92[/C][C]Trim Var.[/C][C]292.193548387097[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]1608.96134453782[/C][C]Range[/C][C]165[/C][C]Trim Var.[/C][C]1064.39784946237[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]5753.82174688057[/C][C]Range[/C][C]315[/C][C]Trim Var.[/C][C]3622.86896551724[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65450&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65450&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)91.579781420765Range56Trim Var.40.6802413273002
V(Y[t],d=1,D=0)101.253107344633Range44Trim Var.71.0440251572327
V(Y[t],d=2,D=0)294.954997077732Range70Trim Var.203.894775036284
V(Y[t],d=3,D=0)945.276769509982Range120Trim Var.693.430995475113
V(Y[t],d=0,D=1)91.75Range44Trim Var.53.9490586932447
V(Y[t],d=1,D=1)154.551418439716Range49Trim Var.99.2102206736353
V(Y[t],d=2,D=1)499.244218316374Range92Trim Var.340.662195121951
V(Y[t],d=3,D=1)1764.55265700483Range175Trim Var.1183.94615384615
V(Y[t],d=0,D=2)232.456456456456Range81Trim Var.120.335227272727
V(Y[t],d=1,D=2)492.992857142857Range92Trim Var.292.193548387097
V(Y[t],d=2,D=2)1608.96134453782Range165Trim Var.1064.39784946237
V(Y[t],d=3,D=2)5753.82174688057Range315Trim Var.3622.86896551724


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')