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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 computationSat, 15 Dec 2007 07:02:07 -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/2007/Dec/15/t1197726394wwjxsapbxyyrdry.htm/, Retrieved Thu, 02 May 2024 22:06:49 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=4053, Retrieved Thu, 02 May 2024 22:06:49 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact212

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...] [2007-12-15 14:02:07] [c5caf8a1e3802eaf41184f28719e74c9] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
101.17
101.93
102.05
102.08
102.14
102.15
95.42
95.43
95.43
95.43
95.43
95.57
95.71
94.58
94.6
94.61
94.62
94.66
94.66
94.69
94.79
94.79
94.79
94.79
94.8
95.46
95.49
95.74
95.74
95.74
95.75
95.83
95.83
95.84
95.81
95.81
95.8
97.06
97.15
97.14
97.48
97.48
97.48
97.5
97.63
97.86
97.87
97.87
97.84
98.72
100.49
100.54
100.54
100.54
100.55
100.59
100.60
100.62
100.68
100.68

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4053&T=0

[TABLE]
[ROW][C]Summary of compuational 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]0 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=4053&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4053&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Variance Reduction Matrix
V(Y[t],d=0,D=0)6.33900822033899Range7.57Trim Var.5.32096383647799
V(Y[t],d=1,D=0)0.92102811221508Range8.5Trim Var.0.0219396681749624
V(Y[t],d=2,D=0)1.80832353297036Range13.4800000000000Trim Var.0.0925844268476627
V(Y[t],d=3,D=0)5.43821246867169Range20.2300000000000Trim Var.0.340841490196081
V(Y[t],d=0,D=1)9.62146099290781Range10.92Trim Var.5.75031132404182
V(Y[t],d=1,D=1)1.18507243293247Range8.62Trim Var.0.0201430487804881
V(Y[t],d=2,D=1)2.41798768115943Range13.4100000000000Trim Var.0.133503589743592
V(Y[t],d=3,D=1)7.27769919191922Range20.2000000000000Trim Var.0.452605263157896
V(Y[t],d=0,D=2)6.9900542063492Range8.58Trim Var.4.91906451612904
V(Y[t],d=1,D=2)1.90467731092437Range10.4Trim Var.0.0794873118279589
V(Y[t],d=2,D=2)3.57744527629234Range13.4000000000000Trim Var.0.306927471264367
V(Y[t],d=3,D=2)10.4084297348485Range20.3800000000000Trim Var.1.73440517241380

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 6.33900822033899 & Range & 7.57 & Trim Var. & 5.32096383647799 \tabularnewline
V(Y[t],d=1,D=0) & 0.92102811221508 & Range & 8.5 & Trim Var. & 0.0219396681749624 \tabularnewline
V(Y[t],d=2,D=0) & 1.80832353297036 & Range & 13.4800000000000 & Trim Var. & 0.0925844268476627 \tabularnewline
V(Y[t],d=3,D=0) & 5.43821246867169 & Range & 20.2300000000000 & Trim Var. & 0.340841490196081 \tabularnewline
V(Y[t],d=0,D=1) & 9.62146099290781 & Range & 10.92 & Trim Var. & 5.75031132404182 \tabularnewline
V(Y[t],d=1,D=1) & 1.18507243293247 & Range & 8.62 & Trim Var. & 0.0201430487804881 \tabularnewline
V(Y[t],d=2,D=1) & 2.41798768115943 & Range & 13.4100000000000 & Trim Var. & 0.133503589743592 \tabularnewline
V(Y[t],d=3,D=1) & 7.27769919191922 & Range & 20.2000000000000 & Trim Var. & 0.452605263157896 \tabularnewline
V(Y[t],d=0,D=2) & 6.9900542063492 & Range & 8.58 & Trim Var. & 4.91906451612904 \tabularnewline
V(Y[t],d=1,D=2) & 1.90467731092437 & Range & 10.4 & Trim Var. & 0.0794873118279589 \tabularnewline
V(Y[t],d=2,D=2) & 3.57744527629234 & Range & 13.4000000000000 & Trim Var. & 0.306927471264367 \tabularnewline
V(Y[t],d=3,D=2) & 10.4084297348485 & Range & 20.3800000000000 & Trim Var. & 1.73440517241380 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4053&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]6.33900822033899[/C][C]Range[/C][C]7.57[/C][C]Trim Var.[/C][C]5.32096383647799[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.92102811221508[/C][C]Range[/C][C]8.5[/C][C]Trim Var.[/C][C]0.0219396681749624[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]1.80832353297036[/C][C]Range[/C][C]13.4800000000000[/C][C]Trim Var.[/C][C]0.0925844268476627[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]5.43821246867169[/C][C]Range[/C][C]20.2300000000000[/C][C]Trim Var.[/C][C]0.340841490196081[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]9.62146099290781[/C][C]Range[/C][C]10.92[/C][C]Trim Var.[/C][C]5.75031132404182[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]1.18507243293247[/C][C]Range[/C][C]8.62[/C][C]Trim Var.[/C][C]0.0201430487804881[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]2.41798768115943[/C][C]Range[/C][C]13.4100000000000[/C][C]Trim Var.[/C][C]0.133503589743592[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]7.27769919191922[/C][C]Range[/C][C]20.2000000000000[/C][C]Trim Var.[/C][C]0.452605263157896[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]6.9900542063492[/C][C]Range[/C][C]8.58[/C][C]Trim Var.[/C][C]4.91906451612904[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]1.90467731092437[/C][C]Range[/C][C]10.4[/C][C]Trim Var.[/C][C]0.0794873118279589[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]3.57744527629234[/C][C]Range[/C][C]13.4000000000000[/C][C]Trim Var.[/C][C]0.306927471264367[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]10.4084297348485[/C][C]Range[/C][C]20.3800000000000[/C][C]Trim Var.[/C][C]1.73440517241380[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4053&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4053&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)6.33900822033899Range7.57Trim Var.5.32096383647799
V(Y[t],d=1,D=0)0.92102811221508Range8.5Trim Var.0.0219396681749624
V(Y[t],d=2,D=0)1.80832353297036Range13.4800000000000Trim Var.0.0925844268476627
V(Y[t],d=3,D=0)5.43821246867169Range20.2300000000000Trim Var.0.340841490196081
V(Y[t],d=0,D=1)9.62146099290781Range10.92Trim Var.5.75031132404182
V(Y[t],d=1,D=1)1.18507243293247Range8.62Trim Var.0.0201430487804881
V(Y[t],d=2,D=1)2.41798768115943Range13.4100000000000Trim Var.0.133503589743592
V(Y[t],d=3,D=1)7.27769919191922Range20.2000000000000Trim Var.0.452605263157896
V(Y[t],d=0,D=2)6.9900542063492Range8.58Trim Var.4.91906451612904
V(Y[t],d=1,D=2)1.90467731092437Range10.4Trim Var.0.0794873118279589
V(Y[t],d=2,D=2)3.57744527629234Range13.4000000000000Trim Var.0.306927471264367
V(Y[t],d=3,D=2)10.4084297348485Range20.3800000000000Trim Var.1.73440517241380


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = Default ; par2 = 1 ; par3 = 1 ; par4 = 0 ; par5 = 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')