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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, 28 Nov 2009 03:17:06 -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/Nov/28/t1259403478rcnnzd9eivmukz6.htm/, Retrieved Fri, 03 May 2024 06:35:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=61401, Retrieved Fri, 03 May 2024 06:35:54 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact130

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F       [Variance Reduction Matrix] [Variance Reductio...] [2009-11-28 10:17:06] [762da55b2e2304daaed24a7cc507d14d] [Current]
Feedback Forum
2009-12-11 00:06:21 [Jef Keersmaekers] [reply] 
De student heeft de juiste berekeningen gemaakt en geïnterpreteerd. Het kleinste getal uit de tabel zoeken. Soms kan het wel gebeuren de kleinste variance niet de kleinste trimmed variance op zijn rij heeft; Het is belangrijk te kijken naar de trimmed variance aangezien daar de outliers al gefilterd zijn

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
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

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=61401&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=61401&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61401&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)1810.98870056497Range160Trim Var.1383.66037735849
V(Y[t],d=1,D=0)346.210987726476Range88Trim Var.180.769230769231
V(Y[t],d=2,D=0)497.431639443436Range114Trim Var.256.230769230769
V(Y[t],d=3,D=0)1143.18859649123Range179Trim Var.503.894117647059
V(Y[t],d=0,D=1)1215.14849290780Range137Trim Var.763.802555168409
V(Y[t],d=1,D=1)79.9833487511563Range38Trim Var.42.8487179487179
V(Y[t],d=2,D=1)138.881159420290Range61Trim Var.63.0967948717949
V(Y[t],d=3,D=1)439.845454545455Range109Trim Var.206.551956815115
V(Y[t],d=0,D=2)2705.57777777778Range175Trim Var.2165.78931451613
V(Y[t],d=1,D=2)184.055462184874Range52Trim Var.117.524731182796
V(Y[t],d=2,D=2)443.533868092692Range93Trim Var.270.041379310345
V(Y[t],d=3,D=2)1454.68939393939Range136Trim Var.1025.04187192118

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 1810.98870056497 & Range & 160 & Trim Var. & 1383.66037735849 \tabularnewline
V(Y[t],d=1,D=0) & 346.210987726476 & Range & 88 & Trim Var. & 180.769230769231 \tabularnewline
V(Y[t],d=2,D=0) & 497.431639443436 & Range & 114 & Trim Var. & 256.230769230769 \tabularnewline
V(Y[t],d=3,D=0) & 1143.18859649123 & Range & 179 & Trim Var. & 503.894117647059 \tabularnewline
V(Y[t],d=0,D=1) & 1215.14849290780 & Range & 137 & Trim Var. & 763.802555168409 \tabularnewline
V(Y[t],d=1,D=1) & 79.9833487511563 & Range & 38 & Trim Var. & 42.8487179487179 \tabularnewline
V(Y[t],d=2,D=1) & 138.881159420290 & Range & 61 & Trim Var. & 63.0967948717949 \tabularnewline
V(Y[t],d=3,D=1) & 439.845454545455 & Range & 109 & Trim Var. & 206.551956815115 \tabularnewline
V(Y[t],d=0,D=2) & 2705.57777777778 & Range & 175 & Trim Var. & 2165.78931451613 \tabularnewline
V(Y[t],d=1,D=2) & 184.055462184874 & Range & 52 & Trim Var. & 117.524731182796 \tabularnewline
V(Y[t],d=2,D=2) & 443.533868092692 & Range & 93 & Trim Var. & 270.041379310345 \tabularnewline
V(Y[t],d=3,D=2) & 1454.68939393939 & Range & 136 & Trim Var. & 1025.04187192118 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61401&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]1810.98870056497[/C][C]Range[/C][C]160[/C][C]Trim Var.[/C][C]1383.66037735849[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]346.210987726476[/C][C]Range[/C][C]88[/C][C]Trim Var.[/C][C]180.769230769231[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]497.431639443436[/C][C]Range[/C][C]114[/C][C]Trim Var.[/C][C]256.230769230769[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]1143.18859649123[/C][C]Range[/C][C]179[/C][C]Trim Var.[/C][C]503.894117647059[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]1215.14849290780[/C][C]Range[/C][C]137[/C][C]Trim Var.[/C][C]763.802555168409[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]79.9833487511563[/C][C]Range[/C][C]38[/C][C]Trim Var.[/C][C]42.8487179487179[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]138.881159420290[/C][C]Range[/C][C]61[/C][C]Trim Var.[/C][C]63.0967948717949[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]439.845454545455[/C][C]Range[/C][C]109[/C][C]Trim Var.[/C][C]206.551956815115[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]2705.57777777778[/C][C]Range[/C][C]175[/C][C]Trim Var.[/C][C]2165.78931451613[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]184.055462184874[/C][C]Range[/C][C]52[/C][C]Trim Var.[/C][C]117.524731182796[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]443.533868092692[/C][C]Range[/C][C]93[/C][C]Trim Var.[/C][C]270.041379310345[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]1454.68939393939[/C][C]Range[/C][C]136[/C][C]Trim Var.[/C][C]1025.04187192118[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=61401&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61401&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)1810.98870056497Range160Trim Var.1383.66037735849
V(Y[t],d=1,D=0)346.210987726476Range88Trim Var.180.769230769231
V(Y[t],d=2,D=0)497.431639443436Range114Trim Var.256.230769230769
V(Y[t],d=3,D=0)1143.18859649123Range179Trim Var.503.894117647059
V(Y[t],d=0,D=1)1215.14849290780Range137Trim Var.763.802555168409
V(Y[t],d=1,D=1)79.9833487511563Range38Trim Var.42.8487179487179
V(Y[t],d=2,D=1)138.881159420290Range61Trim Var.63.0967948717949
V(Y[t],d=3,D=1)439.845454545455Range109Trim Var.206.551956815115
V(Y[t],d=0,D=2)2705.57777777778Range175Trim Var.2165.78931451613
V(Y[t],d=1,D=2)184.055462184874Range52Trim Var.117.524731182796
V(Y[t],d=2,D=2)443.533868092692Range93Trim Var.270.041379310345
V(Y[t],d=3,D=2)1454.68939393939Range136Trim Var.1025.04187192118


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')