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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 07:37:51 -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/t1259937509svk3yodvk2kl7fu.htm/, Retrieved Sat, 27 Apr 2024 13:38:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63625, Retrieved Sat, 27 Apr 2024 13:38:51 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact114

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 14:37:51] [27b6e36591879260e4dc6bb7e89a38fd] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
455
456
517
525
523
519
509
512
519
517
510
509
501
507
569
580
578
565
547
555
562
561
555
544
537
543
594
611
613
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
564

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=63625&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=63625&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63625&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)1714.36067415730Range174Trim Var.1108.76598506978
V(Y[t],d=1,D=0)368.494382022472Range94Trim Var.142.889110889111
V(Y[t],d=2,D=0)555.222048066876Range121Trim Var.270.042790542791
V(Y[t],d=3,D=0)1298.46778936113Range179Trim Var.580.25596491228
V(Y[t],d=0,D=1)1564.96037296037Range141Trim Var.1215.43009377664
V(Y[t],d=1,D=1)60.8964456596036Range38Trim Var.35.9245524296675
V(Y[t],d=2,D=1)103.769122807018Range61Trim Var.46.9193473193473
V(Y[t],d=3,D=1)320.202522522523Range109Trim Var.162.764812302126
V(Y[t],d=0,D=2)2036.72564102564Range175Trim Var.1388.00151240169
V(Y[t],d=1,D=2)142.111538461538Range58Trim Var.73.5788961038961
V(Y[t],d=2,D=2)299.950148809524Range93Trim Var.158.711363636364
V(Y[t],d=3,D=2)940.3133640553Range136Trim Var.507.03164983165

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 1714.36067415730 & Range & 174 & Trim Var. & 1108.76598506978 \tabularnewline
V(Y[t],d=1,D=0) & 368.494382022472 & Range & 94 & Trim Var. & 142.889110889111 \tabularnewline
V(Y[t],d=2,D=0) & 555.222048066876 & Range & 121 & Trim Var. & 270.042790542791 \tabularnewline
V(Y[t],d=3,D=0) & 1298.46778936113 & Range & 179 & Trim Var. & 580.25596491228 \tabularnewline
V(Y[t],d=0,D=1) & 1564.96037296037 & Range & 141 & Trim Var. & 1215.43009377664 \tabularnewline
V(Y[t],d=1,D=1) & 60.8964456596036 & Range & 38 & Trim Var. & 35.9245524296675 \tabularnewline
V(Y[t],d=2,D=1) & 103.769122807018 & Range & 61 & Trim Var. & 46.9193473193473 \tabularnewline
V(Y[t],d=3,D=1) & 320.202522522523 & Range & 109 & Trim Var. & 162.764812302126 \tabularnewline
V(Y[t],d=0,D=2) & 2036.72564102564 & Range & 175 & Trim Var. & 1388.00151240169 \tabularnewline
V(Y[t],d=1,D=2) & 142.111538461538 & Range & 58 & Trim Var. & 73.5788961038961 \tabularnewline
V(Y[t],d=2,D=2) & 299.950148809524 & Range & 93 & Trim Var. & 158.711363636364 \tabularnewline
V(Y[t],d=3,D=2) & 940.3133640553 & Range & 136 & Trim Var. & 507.03164983165 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63625&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]1714.36067415730[/C][C]Range[/C][C]174[/C][C]Trim Var.[/C][C]1108.76598506978[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]368.494382022472[/C][C]Range[/C][C]94[/C][C]Trim Var.[/C][C]142.889110889111[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]555.222048066876[/C][C]Range[/C][C]121[/C][C]Trim Var.[/C][C]270.042790542791[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]1298.46778936113[/C][C]Range[/C][C]179[/C][C]Trim Var.[/C][C]580.25596491228[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]1564.96037296037[/C][C]Range[/C][C]141[/C][C]Trim Var.[/C][C]1215.43009377664[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]60.8964456596036[/C][C]Range[/C][C]38[/C][C]Trim Var.[/C][C]35.9245524296675[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]103.769122807018[/C][C]Range[/C][C]61[/C][C]Trim Var.[/C][C]46.9193473193473[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]320.202522522523[/C][C]Range[/C][C]109[/C][C]Trim Var.[/C][C]162.764812302126[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]2036.72564102564[/C][C]Range[/C][C]175[/C][C]Trim Var.[/C][C]1388.00151240169[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]142.111538461538[/C][C]Range[/C][C]58[/C][C]Trim Var.[/C][C]73.5788961038961[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]299.950148809524[/C][C]Range[/C][C]93[/C][C]Trim Var.[/C][C]158.711363636364[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]940.3133640553[/C][C]Range[/C][C]136[/C][C]Trim Var.[/C][C]507.03164983165[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63625&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63625&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)1714.36067415730Range174Trim Var.1108.76598506978
V(Y[t],d=1,D=0)368.494382022472Range94Trim Var.142.889110889111
V(Y[t],d=2,D=0)555.222048066876Range121Trim Var.270.042790542791
V(Y[t],d=3,D=0)1298.46778936113Range179Trim Var.580.25596491228
V(Y[t],d=0,D=1)1564.96037296037Range141Trim Var.1215.43009377664
V(Y[t],d=1,D=1)60.8964456596036Range38Trim Var.35.9245524296675
V(Y[t],d=2,D=1)103.769122807018Range61Trim Var.46.9193473193473
V(Y[t],d=3,D=1)320.202522522523Range109Trim Var.162.764812302126
V(Y[t],d=0,D=2)2036.72564102564Range175Trim Var.1388.00151240169
V(Y[t],d=1,D=2)142.111538461538Range58Trim Var.73.5788961038961
V(Y[t],d=2,D=2)299.950148809524Range93Trim Var.158.711363636364
V(Y[t],d=3,D=2)940.3133640553Range136Trim Var.507.03164983165


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')