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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 08:00:46 -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/t12604573805i8xaxerjv2ra2n.htm/, Retrieved Fri, 19 Apr 2024 11:47:45 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=65448, Retrieved Fri, 19 Apr 2024 11:47:45 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact150

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 - 3] [2009-12-10 15:00:46] [64da8748fbb01eed936684060058da39] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
62,7
62,3
61,9
62
62,3
62,8
62,4
62,3
62,7
62,7
62,9
63
62,2
62,3
62,8
62,8
62,8
62,2
62,6
62,8
62,5
62,4
62,3
61,9
61,7
62
62,1
61,7
61,8
61,8
61,8
61,3
61,3
61,3
61,2
61,4
62,2
62,9
63,1
63,5
63,6
64,4
64,1
65,1
65,8
65,9
65,4
65,5
64,8
63,2
62,7
62,1
61,9
60,6
60,7
59,8
59
58,3
59,3
59
59,1

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=65448&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=65448&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65448&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)2.51003278688525Range7.60000000000001Trim Var.1.10590711175617
V(Y[t],d=1,D=0)0.261762711864407Range2.59999999999999Trim Var.0.136574746008708
V(Y[t],d=2,D=0)0.413892460549386Range3Trim Var.0.256865021770681
V(Y[t],d=3,D=0)1.25714458560194Range5.49999999999999Trim Var.0.738050527903466
V(Y[t],d=0,D=1)8.23414965986395Range12.2000000000000Trim Var.4.65486157253599
V(Y[t],d=1,D=1)0.729290780141844Range3.79999999999999Trim Var.0.386091753774681
V(Y[t],d=2,D=1)1.12061054579094Range4.80000000000003Trim Var.0.606402439024388
V(Y[t],d=3,D=1)3.45346859903382Range9.10000000000004Trim Var.1.82973717948717
V(Y[t],d=0,D=2)24.5941591591592Range17.9000000000000Trim Var.17.7217234848485
V(Y[t],d=1,D=2)1.94275396825397Range5.70000000000002Trim Var.1.24160282258064
V(Y[t],d=2,D=2)2.88020168067228Range7.70000000000006Trim Var.1.72565591397849
V(Y[t],d=3,D=2)8.85329768270948Range13.9000000000001Trim Var.4.86041379310343

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 2.51003278688525 & Range & 7.60000000000001 & Trim Var. & 1.10590711175617 \tabularnewline
V(Y[t],d=1,D=0) & 0.261762711864407 & Range & 2.59999999999999 & Trim Var. & 0.136574746008708 \tabularnewline
V(Y[t],d=2,D=0) & 0.413892460549386 & Range & 3 & Trim Var. & 0.256865021770681 \tabularnewline
V(Y[t],d=3,D=0) & 1.25714458560194 & Range & 5.49999999999999 & Trim Var. & 0.738050527903466 \tabularnewline
V(Y[t],d=0,D=1) & 8.23414965986395 & Range & 12.2000000000000 & Trim Var. & 4.65486157253599 \tabularnewline
V(Y[t],d=1,D=1) & 0.729290780141844 & Range & 3.79999999999999 & Trim Var. & 0.386091753774681 \tabularnewline
V(Y[t],d=2,D=1) & 1.12061054579094 & Range & 4.80000000000003 & Trim Var. & 0.606402439024388 \tabularnewline
V(Y[t],d=3,D=1) & 3.45346859903382 & Range & 9.10000000000004 & Trim Var. & 1.82973717948717 \tabularnewline
V(Y[t],d=0,D=2) & 24.5941591591592 & Range & 17.9000000000000 & Trim Var. & 17.7217234848485 \tabularnewline
V(Y[t],d=1,D=2) & 1.94275396825397 & Range & 5.70000000000002 & Trim Var. & 1.24160282258064 \tabularnewline
V(Y[t],d=2,D=2) & 2.88020168067228 & Range & 7.70000000000006 & Trim Var. & 1.72565591397849 \tabularnewline
V(Y[t],d=3,D=2) & 8.85329768270948 & Range & 13.9000000000001 & Trim Var. & 4.86041379310343 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65448&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]2.51003278688525[/C][C]Range[/C][C]7.60000000000001[/C][C]Trim Var.[/C][C]1.10590711175617[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.261762711864407[/C][C]Range[/C][C]2.59999999999999[/C][C]Trim Var.[/C][C]0.136574746008708[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]0.413892460549386[/C][C]Range[/C][C]3[/C][C]Trim Var.[/C][C]0.256865021770681[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]1.25714458560194[/C][C]Range[/C][C]5.49999999999999[/C][C]Trim Var.[/C][C]0.738050527903466[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]8.23414965986395[/C][C]Range[/C][C]12.2000000000000[/C][C]Trim Var.[/C][C]4.65486157253599[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]0.729290780141844[/C][C]Range[/C][C]3.79999999999999[/C][C]Trim Var.[/C][C]0.386091753774681[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]1.12061054579094[/C][C]Range[/C][C]4.80000000000003[/C][C]Trim Var.[/C][C]0.606402439024388[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]3.45346859903382[/C][C]Range[/C][C]9.10000000000004[/C][C]Trim Var.[/C][C]1.82973717948717[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]24.5941591591592[/C][C]Range[/C][C]17.9000000000000[/C][C]Trim Var.[/C][C]17.7217234848485[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]1.94275396825397[/C][C]Range[/C][C]5.70000000000002[/C][C]Trim Var.[/C][C]1.24160282258064[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]2.88020168067228[/C][C]Range[/C][C]7.70000000000006[/C][C]Trim Var.[/C][C]1.72565591397849[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]8.85329768270948[/C][C]Range[/C][C]13.9000000000001[/C][C]Trim Var.[/C][C]4.86041379310343[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65448&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65448&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)2.51003278688525Range7.60000000000001Trim Var.1.10590711175617
V(Y[t],d=1,D=0)0.261762711864407Range2.59999999999999Trim Var.0.136574746008708
V(Y[t],d=2,D=0)0.413892460549386Range3Trim Var.0.256865021770681
V(Y[t],d=3,D=0)1.25714458560194Range5.49999999999999Trim Var.0.738050527903466
V(Y[t],d=0,D=1)8.23414965986395Range12.2000000000000Trim Var.4.65486157253599
V(Y[t],d=1,D=1)0.729290780141844Range3.79999999999999Trim Var.0.386091753774681
V(Y[t],d=2,D=1)1.12061054579094Range4.80000000000003Trim Var.0.606402439024388
V(Y[t],d=3,D=1)3.45346859903382Range9.10000000000004Trim Var.1.82973717948717
V(Y[t],d=0,D=2)24.5941591591592Range17.9000000000000Trim Var.17.7217234848485
V(Y[t],d=1,D=2)1.94275396825397Range5.70000000000002Trim Var.1.24160282258064
V(Y[t],d=2,D=2)2.88020168067228Range7.70000000000006Trim Var.1.72565591397849
V(Y[t],d=3,D=2)8.85329768270948Range13.9000000000001Trim Var.4.86041379310343


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')