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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 computationTue, 16 Dec 2008 08:01:05 -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/16/t1229439910907b9jn5y03dhbo.htm/, Retrieved Wed, 15 May 2024 17:07:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=33973, Retrieved Wed, 15 May 2024 17:07:52 +0000
QR Codes:

Original text written by user:in samenwerking met kevin engels, stephanie claes, katrien bourdiaudhy
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact169

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Data Series] [blog 1e tijdreeks...] [2008-10-13 19:23:31] [7173087adebe3e3a714c80ea2417b3eb]
-   PD  [Univariate Data Series] [tijdreeksen opnie...] [2008-10-19 17:18:46] [7173087adebe3e3a714c80ea2417b3eb]
- RMP     [Central Tendency] [tijdreeks 2 centr...] [2008-10-19 17:39:42] [7173087adebe3e3a714c80ea2417b3eb]
- RMP         [Variance Reduction Matrix] [VRM aanvragen hyp...] [2008-12-16 15:01:05] [35348cd8592af0baf5f138bd59921307] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2400
4700
3700
2900
2800
3000
3100
3700
3000
2000
1900
1900
1800
3400
3800
2800
3100
2100
2000
2500
2400
2500
3300
3100
3700
5600
3700
2900
4000
2900
2400
3300
3800
4400
4000
3100
2700
5200
4600
3700
3200
2400
2200
3200
3100
2300
2500
2900
2700
5000
3500
3000
3800
2800
2400
2700
2800
2700
2600
3100

Tables (Output of Computation)





Summary of computational 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 computational 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=33973&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]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=33973&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33973&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 time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Variance Reduction Matrix
V(Y[t],d=0,D=0)684903.95480226Range3800Trim Var.405772.187281621
V(Y[t],d=1,D=0)832098.188194039Range4400Trim Var.467343.976777939
V(Y[t],d=2,D=0)1906037.50756201Range6700Trim Var.992111.61387632
V(Y[t],d=3,D=0)5195413.53383459Range11200Trim Var.2578470.58823529
V(Y[t],d=0,D=1)849290.780141844Range4300Trim Var.477334.494773519
V(Y[t],d=1,D=1)654051.803885291Range3700Trim Var.339589.743589744
V(Y[t],d=2,D=1)1281024.15458937Range5100Trim Var.740944.669365722
V(Y[t],d=3,D=1)3214676.76767677Range8800Trim Var.1805554.76529161
V(Y[t],d=0,D=2)2946444.44444444Range7500Trim Var.1800623.65591398
V(Y[t],d=1,D=2)2360117.64705882Range7300Trim Var.1311612.90322581
V(Y[t],d=2,D=2)4587807.48663102Range8800Trim Var.2885333.33333333
V(Y[t],d=3,D=2)10842291.6666667Range16000Trim Var.5719211.8226601

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 684903.95480226 & Range & 3800 & Trim Var. & 405772.187281621 \tabularnewline
V(Y[t],d=1,D=0) & 832098.188194039 & Range & 4400 & Trim Var. & 467343.976777939 \tabularnewline
V(Y[t],d=2,D=0) & 1906037.50756201 & Range & 6700 & Trim Var. & 992111.61387632 \tabularnewline
V(Y[t],d=3,D=0) & 5195413.53383459 & Range & 11200 & Trim Var. & 2578470.58823529 \tabularnewline
V(Y[t],d=0,D=1) & 849290.780141844 & Range & 4300 & Trim Var. & 477334.494773519 \tabularnewline
V(Y[t],d=1,D=1) & 654051.803885291 & Range & 3700 & Trim Var. & 339589.743589744 \tabularnewline
V(Y[t],d=2,D=1) & 1281024.15458937 & Range & 5100 & Trim Var. & 740944.669365722 \tabularnewline
V(Y[t],d=3,D=1) & 3214676.76767677 & Range & 8800 & Trim Var. & 1805554.76529161 \tabularnewline
V(Y[t],d=0,D=2) & 2946444.44444444 & Range & 7500 & Trim Var. & 1800623.65591398 \tabularnewline
V(Y[t],d=1,D=2) & 2360117.64705882 & Range & 7300 & Trim Var. & 1311612.90322581 \tabularnewline
V(Y[t],d=2,D=2) & 4587807.48663102 & Range & 8800 & Trim Var. & 2885333.33333333 \tabularnewline
V(Y[t],d=3,D=2) & 10842291.6666667 & Range & 16000 & Trim Var. & 5719211.8226601 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33973&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]684903.95480226[/C][C]Range[/C][C]3800[/C][C]Trim Var.[/C][C]405772.187281621[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]832098.188194039[/C][C]Range[/C][C]4400[/C][C]Trim Var.[/C][C]467343.976777939[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]1906037.50756201[/C][C]Range[/C][C]6700[/C][C]Trim Var.[/C][C]992111.61387632[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]5195413.53383459[/C][C]Range[/C][C]11200[/C][C]Trim Var.[/C][C]2578470.58823529[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]849290.780141844[/C][C]Range[/C][C]4300[/C][C]Trim Var.[/C][C]477334.494773519[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]654051.803885291[/C][C]Range[/C][C]3700[/C][C]Trim Var.[/C][C]339589.743589744[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]1281024.15458937[/C][C]Range[/C][C]5100[/C][C]Trim Var.[/C][C]740944.669365722[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]3214676.76767677[/C][C]Range[/C][C]8800[/C][C]Trim Var.[/C][C]1805554.76529161[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]2946444.44444444[/C][C]Range[/C][C]7500[/C][C]Trim Var.[/C][C]1800623.65591398[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]2360117.64705882[/C][C]Range[/C][C]7300[/C][C]Trim Var.[/C][C]1311612.90322581[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]4587807.48663102[/C][C]Range[/C][C]8800[/C][C]Trim Var.[/C][C]2885333.33333333[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]10842291.6666667[/C][C]Range[/C][C]16000[/C][C]Trim Var.[/C][C]5719211.8226601[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33973&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33973&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)684903.95480226Range3800Trim Var.405772.187281621
V(Y[t],d=1,D=0)832098.188194039Range4400Trim Var.467343.976777939
V(Y[t],d=2,D=0)1906037.50756201Range6700Trim Var.992111.61387632
V(Y[t],d=3,D=0)5195413.53383459Range11200Trim Var.2578470.58823529
V(Y[t],d=0,D=1)849290.780141844Range4300Trim Var.477334.494773519
V(Y[t],d=1,D=1)654051.803885291Range3700Trim Var.339589.743589744
V(Y[t],d=2,D=1)1281024.15458937Range5100Trim Var.740944.669365722
V(Y[t],d=3,D=1)3214676.76767677Range8800Trim Var.1805554.76529161
V(Y[t],d=0,D=2)2946444.44444444Range7500Trim Var.1800623.65591398
V(Y[t],d=1,D=2)2360117.64705882Range7300Trim Var.1311612.90322581
V(Y[t],d=2,D=2)4587807.48663102Range8800Trim Var.2885333.33333333
V(Y[t],d=3,D=2)10842291.6666667Range16000Trim Var.5719211.8226601


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')