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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 computationSat, 18 Dec 2010 12:38:57 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/18/t1292675913czqjxizyp4205e5.htm/, Retrieved Tue, 30 Apr 2024 03:57:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=111905, Retrieved Tue, 30 Apr 2024 03:57:04 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact166

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] [Variance reductio...] [2008-12-11 15:42:45] [12d343c4448a5f9e527bb31caeac580b]
-  M D  [Variance Reduction Matrix] [Paper VRM] [2009-12-20 18:48:01] [83058a88a37d754675a5cd22dab372fc]
-   PD      [Variance Reduction Matrix] [paper differentatie] [2010-12-18 12:38:57] [912a7c71b856221ca57f8714938acfc7] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
 100.00 
 100.42 
 100.50 
 101.14 
 101.98 
 102.31 
 103.27 
 103.80 
 103.46 
 105.06 
 106.08 
 106.74 
 107.35 
 108.96 
 109.85 
 109.81 
 109.99 
 111.60 
 112.74 
 112.78 
 113.66 
 115.37 
 116.26 
 116.24 
 116.73 
 118.76 
 119.78 
 120.23 
 121.48 
 124.07 
 125.82
 126.92 
 128.48 
 131.44 
 133.51 
 134.58 
 136.68
 140.10 
 142.45 
 143.91
 146.19 
 149.84 
 152.31 
 153.62
 155.79
159.89 
 163.21 
 165.32
 167.68 
 171.79 
 175.38 
 177.81 
 181.09 
 186.48 
 191.07 
 194.23 
 197.82 
 204.41 
 209.26 
 212.24 
 214.88 
 218.87 
 219.86 
 219.75 
 220.89 
 224.02 
 222.27 
 217.27 
 213.23 
 212.44 
 207.87 
 199.46 
 198.19 
 199.77 
 200.10 
195,76
191,27
195,79
192,7

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=111905&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=111905&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=111905&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)1798.70953333333Range124.02Trim Var.1576.64178708250
V(Y[t],d=1,D=0)6.18518201798202Range15Trim Var.3.0003980331263
V(Y[t],d=2,D=0)5.0720407723855Range16.6199999999999Trim Var.1.69533098891731
V(Y[t],d=3,D=0)11.3699688947368Range27.5999999999999Trim Var.3.21643898156277
V(Y[t],d=0,D=1)62.9526861981982Range36Trim Var.36.0779519674356
V(Y[t],d=1,D=1)3.13296194002221Range10.0800000000000Trim Var.1.40629223776224
V(Y[t],d=2,D=1)2.995202739726Range13.4700000000000Trim Var.0.396543653846154
V(Y[t],d=3,D=1)7.90058120109539Range25.9699999999998Trim Var.0.927711011904755
V(Y[t],d=0,D=2)30.1722592756539Range30.92Trim Var.12.1996499743984
V(Y[t],d=1,D=2)6.14251720496893Range16.2700000000000Trim Var.1.12071940772079
V(Y[t],d=2,D=2)6.33548226768965Range20.0299999999999Trim Var.0.872141639344254
V(Y[t],d=3,D=2)15.7769429982440Range35.4799999999998Trim Var.1.59632666666664

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 1798.70953333333 & Range & 124.02 & Trim Var. & 1576.64178708250 \tabularnewline
V(Y[t],d=1,D=0) & 6.18518201798202 & Range & 15 & Trim Var. & 3.0003980331263 \tabularnewline
V(Y[t],d=2,D=0) & 5.0720407723855 & Range & 16.6199999999999 & Trim Var. & 1.69533098891731 \tabularnewline
V(Y[t],d=3,D=0) & 11.3699688947368 & Range & 27.5999999999999 & Trim Var. & 3.21643898156277 \tabularnewline
V(Y[t],d=0,D=1) & 62.9526861981982 & Range & 36 & Trim Var. & 36.0779519674356 \tabularnewline
V(Y[t],d=1,D=1) & 3.13296194002221 & Range & 10.0800000000000 & Trim Var. & 1.40629223776224 \tabularnewline
V(Y[t],d=2,D=1) & 2.995202739726 & Range & 13.4700000000000 & Trim Var. & 0.396543653846154 \tabularnewline
V(Y[t],d=3,D=1) & 7.90058120109539 & Range & 25.9699999999998 & Trim Var. & 0.927711011904755 \tabularnewline
V(Y[t],d=0,D=2) & 30.1722592756539 & Range & 30.92 & Trim Var. & 12.1996499743984 \tabularnewline
V(Y[t],d=1,D=2) & 6.14251720496893 & Range & 16.2700000000000 & Trim Var. & 1.12071940772079 \tabularnewline
V(Y[t],d=2,D=2) & 6.33548226768965 & Range & 20.0299999999999 & Trim Var. & 0.872141639344254 \tabularnewline
V(Y[t],d=3,D=2) & 15.7769429982440 & Range & 35.4799999999998 & Trim Var. & 1.59632666666664 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=111905&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]1798.70953333333[/C][C]Range[/C][C]124.02[/C][C]Trim Var.[/C][C]1576.64178708250[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]6.18518201798202[/C][C]Range[/C][C]15[/C][C]Trim Var.[/C][C]3.0003980331263[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]5.0720407723855[/C][C]Range[/C][C]16.6199999999999[/C][C]Trim Var.[/C][C]1.69533098891731[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]11.3699688947368[/C][C]Range[/C][C]27.5999999999999[/C][C]Trim Var.[/C][C]3.21643898156277[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]62.9526861981982[/C][C]Range[/C][C]36[/C][C]Trim Var.[/C][C]36.0779519674356[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]3.13296194002221[/C][C]Range[/C][C]10.0800000000000[/C][C]Trim Var.[/C][C]1.40629223776224[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]2.995202739726[/C][C]Range[/C][C]13.4700000000000[/C][C]Trim Var.[/C][C]0.396543653846154[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]7.90058120109539[/C][C]Range[/C][C]25.9699999999998[/C][C]Trim Var.[/C][C]0.927711011904755[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]30.1722592756539[/C][C]Range[/C][C]30.92[/C][C]Trim Var.[/C][C]12.1996499743984[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]6.14251720496893[/C][C]Range[/C][C]16.2700000000000[/C][C]Trim Var.[/C][C]1.12071940772079[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]6.33548226768965[/C][C]Range[/C][C]20.0299999999999[/C][C]Trim Var.[/C][C]0.872141639344254[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]15.7769429982440[/C][C]Range[/C][C]35.4799999999998[/C][C]Trim Var.[/C][C]1.59632666666664[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=111905&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=111905&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)1798.70953333333Range124.02Trim Var.1576.64178708250
V(Y[t],d=1,D=0)6.18518201798202Range15Trim Var.3.0003980331263
V(Y[t],d=2,D=0)5.0720407723855Range16.6199999999999Trim Var.1.69533098891731
V(Y[t],d=3,D=0)11.3699688947368Range27.5999999999999Trim Var.3.21643898156277
V(Y[t],d=0,D=1)62.9526861981982Range36Trim Var.36.0779519674356
V(Y[t],d=1,D=1)3.13296194002221Range10.0800000000000Trim Var.1.40629223776224
V(Y[t],d=2,D=1)2.995202739726Range13.4700000000000Trim Var.0.396543653846154
V(Y[t],d=3,D=1)7.90058120109539Range25.9699999999998Trim Var.0.927711011904755
V(Y[t],d=0,D=2)30.1722592756539Range30.92Trim Var.12.1996499743984
V(Y[t],d=1,D=2)6.14251720496893Range16.2700000000000Trim Var.1.12071940772079
V(Y[t],d=2,D=2)6.33548226768965Range20.0299999999999Trim Var.0.872141639344254
V(Y[t],d=3,D=2)15.7769429982440Range35.4799999999998Trim Var.1.59632666666664


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 4 ;
Parameters (R input):
par1 = 4 ;
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')