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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_variancereduction.wasp
Title produced by softwareVariance Reduction Matrix
Date of computationWed, 25 Nov 2009 06:08:14 -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/25/t1259154532sv9esgaw86twdqo.htm/, Retrieved Tue, 07 May 2024 10:16:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=59367, Retrieved Tue, 07 May 2024 10:16:07 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact144

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] [Werkloosheid bij ...] [2009-11-03 09:27:56] [1ff3eeaee490dfcff07aa4917fec66b8]
- RMPD    [Variance Reduction Matrix] [Variance reductio...] [2009-11-25 13:08:14] [cfc54cb9f3f8d85fe8957f0f7c48844d] [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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452
462
455
461
461
463
462
456
455
456
472
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471
465
459
465
468
467
463
460
462
461
476
476
471
453
443
442
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438
427
424
416
406
431
434
418
412
404
409
412
406
398
397
385
390
413
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401
397
397
409

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=59367&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=59367&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59367&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)742.046165884194Range91Trim Var.593.290322580645
V(Y[t],d=1,D=0)69.7275653923541Range43Trim Var.33.4792626728111
V(Y[t],d=2,D=0)116.616977225673Range58Trim Var.66.1216287678477
V(Y[t],d=3,D=0)295.121909633419Range94Trim Var.128.558192090395
V(Y[t],d=0,D=1)69.7275653923541Range43Trim Var.33.4792626728111
V(Y[t],d=1,D=1)116.616977225673Range58Trim Var.66.1216287678477
V(Y[t],d=2,D=1)295.121909633419Range94Trim Var.128.558192090395
V(Y[t],d=3,D=1)896.208077260755Range154Trim Var.527.433898305085
V(Y[t],d=0,D=2)116.616977225673Range58Trim Var.66.1216287678477
V(Y[t],d=1,D=2)295.121909633419Range94Trim Var.128.558192090395
V(Y[t],d=2,D=2)896.208077260755Range154Trim Var.527.433898305085
V(Y[t],d=3,D=2)2949.07055630936Range282Trim Var.1785.01285797779

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 742.046165884194 & Range & 91 & Trim Var. & 593.290322580645 \tabularnewline
V(Y[t],d=1,D=0) & 69.7275653923541 & Range & 43 & Trim Var. & 33.4792626728111 \tabularnewline
V(Y[t],d=2,D=0) & 116.616977225673 & Range & 58 & Trim Var. & 66.1216287678477 \tabularnewline
V(Y[t],d=3,D=0) & 295.121909633419 & Range & 94 & Trim Var. & 128.558192090395 \tabularnewline
V(Y[t],d=0,D=1) & 69.7275653923541 & Range & 43 & Trim Var. & 33.4792626728111 \tabularnewline
V(Y[t],d=1,D=1) & 116.616977225673 & Range & 58 & Trim Var. & 66.1216287678477 \tabularnewline
V(Y[t],d=2,D=1) & 295.121909633419 & Range & 94 & Trim Var. & 128.558192090395 \tabularnewline
V(Y[t],d=3,D=1) & 896.208077260755 & Range & 154 & Trim Var. & 527.433898305085 \tabularnewline
V(Y[t],d=0,D=2) & 116.616977225673 & Range & 58 & Trim Var. & 66.1216287678477 \tabularnewline
V(Y[t],d=1,D=2) & 295.121909633419 & Range & 94 & Trim Var. & 128.558192090395 \tabularnewline
V(Y[t],d=2,D=2) & 896.208077260755 & Range & 154 & Trim Var. & 527.433898305085 \tabularnewline
V(Y[t],d=3,D=2) & 2949.07055630936 & Range & 282 & Trim Var. & 1785.01285797779 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59367&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]742.046165884194[/C][C]Range[/C][C]91[/C][C]Trim Var.[/C][C]593.290322580645[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]69.7275653923541[/C][C]Range[/C][C]43[/C][C]Trim Var.[/C][C]33.4792626728111[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]116.616977225673[/C][C]Range[/C][C]58[/C][C]Trim Var.[/C][C]66.1216287678477[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]295.121909633419[/C][C]Range[/C][C]94[/C][C]Trim Var.[/C][C]128.558192090395[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]69.7275653923541[/C][C]Range[/C][C]43[/C][C]Trim Var.[/C][C]33.4792626728111[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]116.616977225673[/C][C]Range[/C][C]58[/C][C]Trim Var.[/C][C]66.1216287678477[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]295.121909633419[/C][C]Range[/C][C]94[/C][C]Trim Var.[/C][C]128.558192090395[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]896.208077260755[/C][C]Range[/C][C]154[/C][C]Trim Var.[/C][C]527.433898305085[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]116.616977225673[/C][C]Range[/C][C]58[/C][C]Trim Var.[/C][C]66.1216287678477[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]295.121909633419[/C][C]Range[/C][C]94[/C][C]Trim Var.[/C][C]128.558192090395[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]896.208077260755[/C][C]Range[/C][C]154[/C][C]Trim Var.[/C][C]527.433898305085[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]2949.07055630936[/C][C]Range[/C][C]282[/C][C]Trim Var.[/C][C]1785.01285797779[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=59367&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59367&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)742.046165884194Range91Trim Var.593.290322580645
V(Y[t],d=1,D=0)69.7275653923541Range43Trim Var.33.4792626728111
V(Y[t],d=2,D=0)116.616977225673Range58Trim Var.66.1216287678477
V(Y[t],d=3,D=0)295.121909633419Range94Trim Var.128.558192090395
V(Y[t],d=0,D=1)69.7275653923541Range43Trim Var.33.4792626728111
V(Y[t],d=1,D=1)116.616977225673Range58Trim Var.66.1216287678477
V(Y[t],d=2,D=1)295.121909633419Range94Trim Var.128.558192090395
V(Y[t],d=3,D=1)896.208077260755Range154Trim Var.527.433898305085
V(Y[t],d=0,D=2)116.616977225673Range58Trim Var.66.1216287678477
V(Y[t],d=1,D=2)295.121909633419Range94Trim Var.128.558192090395
V(Y[t],d=2,D=2)896.208077260755Range154Trim Var.527.433898305085
V(Y[t],d=3,D=2)2949.07055630936Range282Trim Var.1785.01285797779


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ;
Parameters (R input):
par1 = 1 ;
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')