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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_variancereduction.wasp
Title produced by softwareVariance Reduction Matrix
Date of computationSun, 21 Dec 2008 03:29:11 -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/2008/Dec/21/t1229855411wofqaifax4ggbli.htm/, Retrieved Sat, 18 May 2024 09:55:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=35483, Retrieved Sat, 18 May 2024 09:55:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact187

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] [fds] [2008-12-21 10:29:11] [7a2afff08a618fdf6611a1bb6e1c3da4] [Current]
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Dataset

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

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'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35483&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35483&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35483&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'George Udny Yule' @ 72.249.76.132






Variance Reduction Matrix
V(Y[t],d=0,D=0)0.529233584991993Range2.4Trim Var.0.396503086419753
V(Y[t],d=1,D=0)0.0131416549789621Range0.700000000000001Trim Var.0.00591990364348086
V(Y[t],d=2,D=0)0.0164835164835165Range0.7Trim Var.0.0098734567901234
V(Y[t],d=3,D=0)0.0428888888888888Range1.1Trim Var.0.0229753086419752
V(Y[t],d=0,D=1)0.4289972899729Range2.4Trim Var.0.313020703933747
V(Y[t],d=1,D=1)0.0256975308641975Range0.9Trim Var.0.0122816901408450
V(Y[t],d=2,D=1)0.0373401898734176Range0.8Trim Var.0.0225703324808183
V(Y[t],d=3,D=1)0.0962804284323269Range1.30000000000000Trim Var.0.0652354124748487
V(Y[t],d=0,D=2)0.163469979296066Range1.80000000000000Trim Var.0.0936753040719193
V(Y[t],d=1,D=2)0.0856820119352087Range1.6Trim Var.0.0431073446327682
V(Y[t],d=2,D=2)0.127609745390693Range1.40000000000000Trim Var.0.0913531073446324
V(Y[t],d=3,D=2)0.335309814563545Range2.40000000000001Trim Var.0.223956750438339

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 0.529233584991993 & Range & 2.4 & Trim Var. & 0.396503086419753 \tabularnewline
V(Y[t],d=1,D=0) & 0.0131416549789621 & Range & 0.700000000000001 & Trim Var. & 0.00591990364348086 \tabularnewline
V(Y[t],d=2,D=0) & 0.0164835164835165 & Range & 0.7 & Trim Var. & 0.0098734567901234 \tabularnewline
V(Y[t],d=3,D=0) & 0.0428888888888888 & Range & 1.1 & Trim Var. & 0.0229753086419752 \tabularnewline
V(Y[t],d=0,D=1) & 0.4289972899729 & Range & 2.4 & Trim Var. & 0.313020703933747 \tabularnewline
V(Y[t],d=1,D=1) & 0.0256975308641975 & Range & 0.9 & Trim Var. & 0.0122816901408450 \tabularnewline
V(Y[t],d=2,D=1) & 0.0373401898734176 & Range & 0.8 & Trim Var. & 0.0225703324808183 \tabularnewline
V(Y[t],d=3,D=1) & 0.0962804284323269 & Range & 1.30000000000000 & Trim Var. & 0.0652354124748487 \tabularnewline
V(Y[t],d=0,D=2) & 0.163469979296066 & Range & 1.80000000000000 & Trim Var. & 0.0936753040719193 \tabularnewline
V(Y[t],d=1,D=2) & 0.0856820119352087 & Range & 1.6 & Trim Var. & 0.0431073446327682 \tabularnewline
V(Y[t],d=2,D=2) & 0.127609745390693 & Range & 1.40000000000000 & Trim Var. & 0.0913531073446324 \tabularnewline
V(Y[t],d=3,D=2) & 0.335309814563545 & Range & 2.40000000000001 & Trim Var. & 0.223956750438339 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35483&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]0.529233584991993[/C][C]Range[/C][C]2.4[/C][C]Trim Var.[/C][C]0.396503086419753[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.0131416549789621[/C][C]Range[/C][C]0.700000000000001[/C][C]Trim Var.[/C][C]0.00591990364348086[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]0.0164835164835165[/C][C]Range[/C][C]0.7[/C][C]Trim Var.[/C][C]0.0098734567901234[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]0.0428888888888888[/C][C]Range[/C][C]1.1[/C][C]Trim Var.[/C][C]0.0229753086419752[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]0.4289972899729[/C][C]Range[/C][C]2.4[/C][C]Trim Var.[/C][C]0.313020703933747[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]0.0256975308641975[/C][C]Range[/C][C]0.9[/C][C]Trim Var.[/C][C]0.0122816901408450[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]0.0373401898734176[/C][C]Range[/C][C]0.8[/C][C]Trim Var.[/C][C]0.0225703324808183[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]0.0962804284323269[/C][C]Range[/C][C]1.30000000000000[/C][C]Trim Var.[/C][C]0.0652354124748487[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]0.163469979296066[/C][C]Range[/C][C]1.80000000000000[/C][C]Trim Var.[/C][C]0.0936753040719193[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]0.0856820119352087[/C][C]Range[/C][C]1.6[/C][C]Trim Var.[/C][C]0.0431073446327682[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]0.127609745390693[/C][C]Range[/C][C]1.40000000000000[/C][C]Trim Var.[/C][C]0.0913531073446324[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]0.335309814563545[/C][C]Range[/C][C]2.40000000000001[/C][C]Trim Var.[/C][C]0.223956750438339[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35483&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35483&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)0.529233584991993Range2.4Trim Var.0.396503086419753
V(Y[t],d=1,D=0)0.0131416549789621Range0.700000000000001Trim Var.0.00591990364348086
V(Y[t],d=2,D=0)0.0164835164835165Range0.7Trim Var.0.0098734567901234
V(Y[t],d=3,D=0)0.0428888888888888Range1.1Trim Var.0.0229753086419752
V(Y[t],d=0,D=1)0.4289972899729Range2.4Trim Var.0.313020703933747
V(Y[t],d=1,D=1)0.0256975308641975Range0.9Trim Var.0.0122816901408450
V(Y[t],d=2,D=1)0.0373401898734176Range0.8Trim Var.0.0225703324808183
V(Y[t],d=3,D=1)0.0962804284323269Range1.30000000000000Trim Var.0.0652354124748487
V(Y[t],d=0,D=2)0.163469979296066Range1.80000000000000Trim Var.0.0936753040719193
V(Y[t],d=1,D=2)0.0856820119352087Range1.6Trim Var.0.0431073446327682
V(Y[t],d=2,D=2)0.127609745390693Range1.40000000000000Trim Var.0.0913531073446324
V(Y[t],d=3,D=2)0.335309814563545Range2.40000000000001Trim Var.0.223956750438339


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')