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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 08:22:20 -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/t1259940305x5rp1jxpehu32v9.htm/, Retrieved Sat, 27 Apr 2024 23:52:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63752, Retrieved Sat, 27 Apr 2024 23:52:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact111

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 15:22:20] [a1151e037da67acc5ce4bbcb8804d7f1] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
392
394
392
396
392
396
419
421
420
418
410
418
426
428
430
424
423
427
441
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462
455
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461
463
462
456
455
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472
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465
459
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463
460
462
461
476
476
471
453
443
442
444
438
427
424
416
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431
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418
412
404
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412

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=63752&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=63752&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63752&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)646.332240437158Range84Trim Var.485.880986937591
V(Y[t],d=1,D=0)63.9887005649718Range43Trim Var.31.5279524807827
V(Y[t],d=2,D=0)108.327293980129Range57Trim Var.56.643665158371
V(Y[t],d=3,D=0)289.507562008469Range94Trim Var.130.763137254902
V(Y[t],d=0,D=1)926.182823129252Range100Trim Var.724.834994462901
V(Y[t],d=1,D=1)35.8563829787234Range28Trim Var.18.9854819976771
V(Y[t],d=2,D=1)72.586493987049Range37Trim Var.40.4024390243902
V(Y[t],d=3,D=1)225.849758454106Range70Trim Var.130.4
V(Y[t],d=0,D=2)312.633633633634Range69Trim Var.206.064516129032
V(Y[t],d=1,D=2)82.0785714285714Range52Trim Var.37.0806451612903
V(Y[t],d=2,D=2)154.408403361345Range56Trim Var.82.5118279569893
V(Y[t],d=3,D=2)487.682709447415Range97Trim Var.282.281609195402

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 646.332240437158 & Range & 84 & Trim Var. & 485.880986937591 \tabularnewline
V(Y[t],d=1,D=0) & 63.9887005649718 & Range & 43 & Trim Var. & 31.5279524807827 \tabularnewline
V(Y[t],d=2,D=0) & 108.327293980129 & Range & 57 & Trim Var. & 56.643665158371 \tabularnewline
V(Y[t],d=3,D=0) & 289.507562008469 & Range & 94 & Trim Var. & 130.763137254902 \tabularnewline
V(Y[t],d=0,D=1) & 926.182823129252 & Range & 100 & Trim Var. & 724.834994462901 \tabularnewline
V(Y[t],d=1,D=1) & 35.8563829787234 & Range & 28 & Trim Var. & 18.9854819976771 \tabularnewline
V(Y[t],d=2,D=1) & 72.586493987049 & Range & 37 & Trim Var. & 40.4024390243902 \tabularnewline
V(Y[t],d=3,D=1) & 225.849758454106 & Range & 70 & Trim Var. & 130.4 \tabularnewline
V(Y[t],d=0,D=2) & 312.633633633634 & Range & 69 & Trim Var. & 206.064516129032 \tabularnewline
V(Y[t],d=1,D=2) & 82.0785714285714 & Range & 52 & Trim Var. & 37.0806451612903 \tabularnewline
V(Y[t],d=2,D=2) & 154.408403361345 & Range & 56 & Trim Var. & 82.5118279569893 \tabularnewline
V(Y[t],d=3,D=2) & 487.682709447415 & Range & 97 & Trim Var. & 282.281609195402 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63752&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]646.332240437158[/C][C]Range[/C][C]84[/C][C]Trim Var.[/C][C]485.880986937591[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]63.9887005649718[/C][C]Range[/C][C]43[/C][C]Trim Var.[/C][C]31.5279524807827[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]108.327293980129[/C][C]Range[/C][C]57[/C][C]Trim Var.[/C][C]56.643665158371[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]289.507562008469[/C][C]Range[/C][C]94[/C][C]Trim Var.[/C][C]130.763137254902[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]926.182823129252[/C][C]Range[/C][C]100[/C][C]Trim Var.[/C][C]724.834994462901[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]35.8563829787234[/C][C]Range[/C][C]28[/C][C]Trim Var.[/C][C]18.9854819976771[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]72.586493987049[/C][C]Range[/C][C]37[/C][C]Trim Var.[/C][C]40.4024390243902[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]225.849758454106[/C][C]Range[/C][C]70[/C][C]Trim Var.[/C][C]130.4[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]312.633633633634[/C][C]Range[/C][C]69[/C][C]Trim Var.[/C][C]206.064516129032[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]82.0785714285714[/C][C]Range[/C][C]52[/C][C]Trim Var.[/C][C]37.0806451612903[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]154.408403361345[/C][C]Range[/C][C]56[/C][C]Trim Var.[/C][C]82.5118279569893[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]487.682709447415[/C][C]Range[/C][C]97[/C][C]Trim Var.[/C][C]282.281609195402[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63752&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63752&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)646.332240437158Range84Trim Var.485.880986937591
V(Y[t],d=1,D=0)63.9887005649718Range43Trim Var.31.5279524807827
V(Y[t],d=2,D=0)108.327293980129Range57Trim Var.56.643665158371
V(Y[t],d=3,D=0)289.507562008469Range94Trim Var.130.763137254902
V(Y[t],d=0,D=1)926.182823129252Range100Trim Var.724.834994462901
V(Y[t],d=1,D=1)35.8563829787234Range28Trim Var.18.9854819976771
V(Y[t],d=2,D=1)72.586493987049Range37Trim Var.40.4024390243902
V(Y[t],d=3,D=1)225.849758454106Range70Trim Var.130.4
V(Y[t],d=0,D=2)312.633633633634Range69Trim Var.206.064516129032
V(Y[t],d=1,D=2)82.0785714285714Range52Trim Var.37.0806451612903
V(Y[t],d=2,D=2)154.408403361345Range56Trim Var.82.5118279569893
V(Y[t],d=3,D=2)487.682709447415Range97Trim Var.282.281609195402


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')