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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 computationFri, 04 Dec 2009 07:41:36 -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/04/t1259937732rk12i440qnlehjt.htm/, Retrieved Sat, 27 Apr 2024 18:55:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63640, Retrieved Sat, 27 Apr 2024 18:55:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact100

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Variance Reduction Matrix] [] [2009-11-27 14:44:05] [b98453cac15ba1066b407e146608df68]
-    D      [Variance Reduction Matrix] [] [2009-12-04 14:41:36] [6974478841a4d28b8cb590971bfdefb0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
611
594
595
591
589
584
573
567
569
621
629
628
612
595
597
593
590
580
574
573
573
620
626
620
588
566
557
561
549
532
526
511
499
555
565
542
527
510
514
517
508
493
490
469
478
528
534
518
506
502
516
528
533
536
537
524
536
587
597
581

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=63640&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=63640&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63640&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)1745.99548022599Range160Trim Var.1312.10342417890
V(Y[t],d=1,D=0)352.116306253653Range88Trim Var.186.986937590711
V(Y[t],d=2,D=0)535.280399274047Range114Trim Var.297.503770739065
V(Y[t],d=3,D=0)1239.85776942356Range179Trim Var.621.508235294118
V(Y[t],d=0,D=1)1431.2695035461Range141Trim Var.969.052264808362
V(Y[t],d=1,D=1)74.8741905642923Range38Trim Var.41.5621951219512
V(Y[t],d=2,D=1)132.4Range61Trim Var.55.5326923076923
V(Y[t],d=3,D=1)423.510101010101Range109Trim Var.187.944669365722
V(Y[t],d=0,D=2)3045.68492063492Range175Trim Var.2510.70967741935
V(Y[t],d=1,D=2)186.223529411765Range52Trim Var.120.159139784946
V(Y[t],d=2,D=2)450.178253119430Range93Trim Var.277.840229885057
V(Y[t],d=3,D=2)1480.43939393939Range136Trim Var.1056.17980295567

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 1745.99548022599 & Range & 160 & Trim Var. & 1312.10342417890 \tabularnewline
V(Y[t],d=1,D=0) & 352.116306253653 & Range & 88 & Trim Var. & 186.986937590711 \tabularnewline
V(Y[t],d=2,D=0) & 535.280399274047 & Range & 114 & Trim Var. & 297.503770739065 \tabularnewline
V(Y[t],d=3,D=0) & 1239.85776942356 & Range & 179 & Trim Var. & 621.508235294118 \tabularnewline
V(Y[t],d=0,D=1) & 1431.2695035461 & Range & 141 & Trim Var. & 969.052264808362 \tabularnewline
V(Y[t],d=1,D=1) & 74.8741905642923 & Range & 38 & Trim Var. & 41.5621951219512 \tabularnewline
V(Y[t],d=2,D=1) & 132.4 & Range & 61 & Trim Var. & 55.5326923076923 \tabularnewline
V(Y[t],d=3,D=1) & 423.510101010101 & Range & 109 & Trim Var. & 187.944669365722 \tabularnewline
V(Y[t],d=0,D=2) & 3045.68492063492 & Range & 175 & Trim Var. & 2510.70967741935 \tabularnewline
V(Y[t],d=1,D=2) & 186.223529411765 & Range & 52 & Trim Var. & 120.159139784946 \tabularnewline
V(Y[t],d=2,D=2) & 450.178253119430 & Range & 93 & Trim Var. & 277.840229885057 \tabularnewline
V(Y[t],d=3,D=2) & 1480.43939393939 & Range & 136 & Trim Var. & 1056.17980295567 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63640&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]1745.99548022599[/C][C]Range[/C][C]160[/C][C]Trim Var.[/C][C]1312.10342417890[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]352.116306253653[/C][C]Range[/C][C]88[/C][C]Trim Var.[/C][C]186.986937590711[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]535.280399274047[/C][C]Range[/C][C]114[/C][C]Trim Var.[/C][C]297.503770739065[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]1239.85776942356[/C][C]Range[/C][C]179[/C][C]Trim Var.[/C][C]621.508235294118[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]1431.2695035461[/C][C]Range[/C][C]141[/C][C]Trim Var.[/C][C]969.052264808362[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]74.8741905642923[/C][C]Range[/C][C]38[/C][C]Trim Var.[/C][C]41.5621951219512[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]132.4[/C][C]Range[/C][C]61[/C][C]Trim Var.[/C][C]55.5326923076923[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]423.510101010101[/C][C]Range[/C][C]109[/C][C]Trim Var.[/C][C]187.944669365722[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]3045.68492063492[/C][C]Range[/C][C]175[/C][C]Trim Var.[/C][C]2510.70967741935[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]186.223529411765[/C][C]Range[/C][C]52[/C][C]Trim Var.[/C][C]120.159139784946[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]450.178253119430[/C][C]Range[/C][C]93[/C][C]Trim Var.[/C][C]277.840229885057[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]1480.43939393939[/C][C]Range[/C][C]136[/C][C]Trim Var.[/C][C]1056.17980295567[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63640&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63640&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)1745.99548022599Range160Trim Var.1312.10342417890
V(Y[t],d=1,D=0)352.116306253653Range88Trim Var.186.986937590711
V(Y[t],d=2,D=0)535.280399274047Range114Trim Var.297.503770739065
V(Y[t],d=3,D=0)1239.85776942356Range179Trim Var.621.508235294118
V(Y[t],d=0,D=1)1431.2695035461Range141Trim Var.969.052264808362
V(Y[t],d=1,D=1)74.8741905642923Range38Trim Var.41.5621951219512
V(Y[t],d=2,D=1)132.4Range61Trim Var.55.5326923076923
V(Y[t],d=3,D=1)423.510101010101Range109Trim Var.187.944669365722
V(Y[t],d=0,D=2)3045.68492063492Range175Trim Var.2510.70967741935
V(Y[t],d=1,D=2)186.223529411765Range52Trim Var.120.159139784946
V(Y[t],d=2,D=2)450.178253119430Range93Trim Var.277.840229885057
V(Y[t],d=3,D=2)1480.43939393939Range136Trim Var.1056.17980295567


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')