## Free Statistics

of Irreproducible Research!

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 computationTue, 24 Nov 2009 03:38:27 -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/24/t1259059135ut1t0dr48tskiko.htm/, Retrieved Sat, 25 May 2024 04:35:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=58985, Retrieved Sat, 25 May 2024 04:35:26 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact184
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Variance Reduction Matrix] [ws4] [2009-11-24 10:38:27] [94ba0ef70f5b330d175ff4daa1c9cd40] [Current]
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Dataseries X:
395.3
395.1
403.5
403.3
405.7
406.7
407.2
412.4
415.9
414
411.8
409.9
412.4
415.9
416.3
417.2
421.8
421.4
415.1
412.4
411.8
408.8
404.5
402.5
409.4
410.7
413.4
415.2
417.7
417.8
417.9
418.4
418.2
416.6
418.9
421
423.5
432.3
432.3
428.6
426.7
427.3
428.5
437
442
444.9
441.4
440.3
447.1
455.3
478.6
486.5
487.8
485.9
483.8
488.4
494
493.6
487.3
482.1
484.2
496.8
501.1
499.8
495.5
498.1
503.8
516.2
526.1
527.1
525.1
528.9
540.1
549
556
568.9
589.1
590.3
603.3
638.8
643
656.7
656.1
654.1
659.9
662.1
669.2
673.1
678.3
677.4
678.5
672.4
665.3
667.9
672.1
662.5
682.3
692.1
702.7
721.4
733.2
747.7
737.6
729.3
706.1
674.3
659
645.7

 Summary of computational transaction Raw Input view raw input (R code) Raw Output view raw output of R engine Computing time 2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=58985&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]2 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=58985&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=58985&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

 Summary of computational transaction Raw Input view raw input (R code) Raw Output view raw output of R engine Computing time 2 seconds R Server 'Gwilym Jenkins' @ 72.249.127.135

 Variance Reduction Matrix V(Y[t],d=0,D=0) 12343.3834986154 Range 352.6 Trim Var. 10129.2751403509 V(Y[t],d=1,D=0) 71.3226150590725 Range 67.3000000000001 Trim Var. 24.5852362821949 V(Y[t],d=2,D=0) 67.9458194070081 Range 60.6999999999999 Trim Var. 25.8715717227179 V(Y[t],d=3,D=0) 180.440626373626 Range 97 Trim Var. 58.57966573165 V(Y[t],d=0,D=1) 1363.57789035088 Range 147.8 Trim Var. 915.90800280112 V(Y[t],d=1,D=1) 98.323543113102 Range 66.1000000000001 Trim Var. 38.1780028011205 V(Y[t],d=2,D=1) 116.588574696866 Range 60 Trim Var. 56.0871069994264 V(Y[t],d=3,D=1) 324.917155212717 Range 104.600000000000 Trim Var. 165.558269174258 V(Y[t],d=0,D=2) 2353.88457257602 Range 214.5 Trim Var. 1281.79206219918 V(Y[t],d=1,D=2) 250.834105201293 Range 104.1 Trim Var. 105.524676560122 V(Y[t],d=2,D=2) 335.731466425776 Range 106.4 Trim Var. 147.190954616589 V(Y[t],d=3,D=2) 952.239527777779 Range 187.500000000000 Trim Var. 428.277987927565

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 12343.3834986154 & Range & 352.6 & Trim Var. & 10129.2751403509 \tabularnewline
V(Y[t],d=1,D=0) & 71.3226150590725 & Range & 67.3000000000001 & Trim Var. & 24.5852362821949 \tabularnewline
V(Y[t],d=2,D=0) & 67.9458194070081 & Range & 60.6999999999999 & Trim Var. & 25.8715717227179 \tabularnewline
V(Y[t],d=3,D=0) & 180.440626373626 & Range & 97 & Trim Var. & 58.57966573165 \tabularnewline
V(Y[t],d=0,D=1) & 1363.57789035088 & Range & 147.8 & Trim Var. & 915.90800280112 \tabularnewline
V(Y[t],d=1,D=1) & 98.323543113102 & Range & 66.1000000000001 & Trim Var. & 38.1780028011205 \tabularnewline
V(Y[t],d=2,D=1) & 116.588574696866 & Range & 60 & Trim Var. & 56.0871069994264 \tabularnewline
V(Y[t],d=3,D=1) & 324.917155212717 & Range & 104.600000000000 & Trim Var. & 165.558269174258 \tabularnewline
V(Y[t],d=0,D=2) & 2353.88457257602 & Range & 214.5 & Trim Var. & 1281.79206219918 \tabularnewline
V(Y[t],d=1,D=2) & 250.834105201293 & Range & 104.1 & Trim Var. & 105.524676560122 \tabularnewline
V(Y[t],d=2,D=2) & 335.731466425776 & Range & 106.4 & Trim Var. & 147.190954616589 \tabularnewline
V(Y[t],d=3,D=2) & 952.239527777779 & Range & 187.500000000000 & Trim Var. & 428.277987927565 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=58985&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]12343.3834986154[/C][C]Range[/C][C]352.6[/C][C]Trim Var.[/C][C]10129.2751403509[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]71.3226150590725[/C][C]Range[/C][C]67.3000000000001[/C][C]Trim Var.[/C][C]24.5852362821949[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]67.9458194070081[/C][C]Range[/C][C]60.6999999999999[/C][C]Trim Var.[/C][C]25.8715717227179[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]180.440626373626[/C][C]Range[/C][C]97[/C][C]Trim Var.[/C][C]58.57966573165[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]1363.57789035088[/C][C]Range[/C][C]147.8[/C][C]Trim Var.[/C][C]915.90800280112[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]98.323543113102[/C][C]Range[/C][C]66.1000000000001[/C][C]Trim Var.[/C][C]38.1780028011205[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]116.588574696866[/C][C]Range[/C][C]60[/C][C]Trim Var.[/C][C]56.0871069994264[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]324.917155212717[/C][C]Range[/C][C]104.600000000000[/C][C]Trim Var.[/C][C]165.558269174258[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]2353.88457257602[/C][C]Range[/C][C]214.5[/C][C]Trim Var.[/C][C]1281.79206219918[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]250.834105201293[/C][C]Range[/C][C]104.1[/C][C]Trim Var.[/C][C]105.524676560122[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]335.731466425776[/C][C]Range[/C][C]106.4[/C][C]Trim Var.[/C][C]147.190954616589[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]952.239527777779[/C][C]Range[/C][C]187.500000000000[/C][C]Trim Var.[/C][C]428.277987927565[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=58985&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=58985&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

 Variance Reduction Matrix V(Y[t],d=0,D=0) 12343.3834986154 Range 352.6 Trim Var. 10129.2751403509 V(Y[t],d=1,D=0) 71.3226150590725 Range 67.3000000000001 Trim Var. 24.5852362821949 V(Y[t],d=2,D=0) 67.9458194070081 Range 60.6999999999999 Trim Var. 25.8715717227179 V(Y[t],d=3,D=0) 180.440626373626 Range 97 Trim Var. 58.57966573165 V(Y[t],d=0,D=1) 1363.57789035088 Range 147.8 Trim Var. 915.90800280112 V(Y[t],d=1,D=1) 98.323543113102 Range 66.1000000000001 Trim Var. 38.1780028011205 V(Y[t],d=2,D=1) 116.588574696866 Range 60 Trim Var. 56.0871069994264 V(Y[t],d=3,D=1) 324.917155212717 Range 104.600000000000 Trim Var. 165.558269174258 V(Y[t],d=0,D=2) 2353.88457257602 Range 214.5 Trim Var. 1281.79206219918 V(Y[t],d=1,D=2) 250.834105201293 Range 104.1 Trim Var. 105.524676560122 V(Y[t],d=2,D=2) 335.731466425776 Range 106.4 Trim Var. 147.190954616589 V(Y[t],d=3,D=2) 952.239527777779 Range 187.500000000000 Trim Var. 428.277987927565

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 <- xif (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')