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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, 16 Jan 2008 09:10:12 -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/2008/Jan/16/t1200499545a4jrzy3dnc4w9as.htm/, Retrieved Wed, 15 May 2024 03:50:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=7994, Retrieved Wed, 15 May 2024 03:50:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact264

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Hierarchical Clustering] [paper] [2007-12-05 22:51:14] [8d3192ea84fef628e5e980e3df2ac42d]
- RMPD    [Variance Reduction Matrix] [] [2008-01-16 16:10:12] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
281
295
294
302
314
321
313
310
319
316
319
333
356
358
340
328
355
356
351
359
378
378
389.
407
413
404
406
402
383
392
398
400
405
420
439
441
424
423
434
429
421
430
424
437
456
469
476
510
549
554
557
610
675
596
633
632
596
585
627
629

Tables (Output of Computation)





Summary of compuational 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 compuational 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=7994&T=0

[TABLE]
[ROW][C]Summary of compuational 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=7994&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7994&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 compuational 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)10701.2144067797Range394Trim Var.8060.3036338225
V(Y[t],d=1,D=0)423.023962594974Range144Trim Var.152.609579100145
V(Y[t],d=2,D=0)973.46521476104Range260Trim Var.253.792986425339
V(Y[t],d=3,D=0)2829.89348370927Range416Trim Var.557.585882352941
V(Y[t],d=0,D=1)3141.95567375887Range243Trim Var.1732.94756097561
V(Y[t],d=1,D=1)767.843663274746Range161Trim Var.264.909756097561
V(Y[t],d=2,D=1)1784.78454106280Range292Trim Var.555.51217948718
V(Y[t],d=3,D=1)5165.01313131313Range480Trim Var.1098.75438596491
V(Y[t],d=0,D=2)5110.57142857143Range263Trim Var.3554.28629032258
V(Y[t],d=1,D=2)1550.64369747899Range167Trim Var.1001.21290322581
V(Y[t],d=2,D=2)3647.47682709447Range293Trim Var.2049.21954022988
V(Y[t],d=3,D=2)10073.3181818182Range516Trim Var.4526.20935960591

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 10701.2144067797 & Range & 394 & Trim Var. & 8060.3036338225 \tabularnewline
V(Y[t],d=1,D=0) & 423.023962594974 & Range & 144 & Trim Var. & 152.609579100145 \tabularnewline
V(Y[t],d=2,D=0) & 973.46521476104 & Range & 260 & Trim Var. & 253.792986425339 \tabularnewline
V(Y[t],d=3,D=0) & 2829.89348370927 & Range & 416 & Trim Var. & 557.585882352941 \tabularnewline
V(Y[t],d=0,D=1) & 3141.95567375887 & Range & 243 & Trim Var. & 1732.94756097561 \tabularnewline
V(Y[t],d=1,D=1) & 767.843663274746 & Range & 161 & Trim Var. & 264.909756097561 \tabularnewline
V(Y[t],d=2,D=1) & 1784.78454106280 & Range & 292 & Trim Var. & 555.51217948718 \tabularnewline
V(Y[t],d=3,D=1) & 5165.01313131313 & Range & 480 & Trim Var. & 1098.75438596491 \tabularnewline
V(Y[t],d=0,D=2) & 5110.57142857143 & Range & 263 & Trim Var. & 3554.28629032258 \tabularnewline
V(Y[t],d=1,D=2) & 1550.64369747899 & Range & 167 & Trim Var. & 1001.21290322581 \tabularnewline
V(Y[t],d=2,D=2) & 3647.47682709447 & Range & 293 & Trim Var. & 2049.21954022988 \tabularnewline
V(Y[t],d=3,D=2) & 10073.3181818182 & Range & 516 & Trim Var. & 4526.20935960591 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7994&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]10701.2144067797[/C][C]Range[/C][C]394[/C][C]Trim Var.[/C][C]8060.3036338225[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]423.023962594974[/C][C]Range[/C][C]144[/C][C]Trim Var.[/C][C]152.609579100145[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]973.46521476104[/C][C]Range[/C][C]260[/C][C]Trim Var.[/C][C]253.792986425339[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]2829.89348370927[/C][C]Range[/C][C]416[/C][C]Trim Var.[/C][C]557.585882352941[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]3141.95567375887[/C][C]Range[/C][C]243[/C][C]Trim Var.[/C][C]1732.94756097561[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]767.843663274746[/C][C]Range[/C][C]161[/C][C]Trim Var.[/C][C]264.909756097561[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]1784.78454106280[/C][C]Range[/C][C]292[/C][C]Trim Var.[/C][C]555.51217948718[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]5165.01313131313[/C][C]Range[/C][C]480[/C][C]Trim Var.[/C][C]1098.75438596491[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]5110.57142857143[/C][C]Range[/C][C]263[/C][C]Trim Var.[/C][C]3554.28629032258[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]1550.64369747899[/C][C]Range[/C][C]167[/C][C]Trim Var.[/C][C]1001.21290322581[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]3647.47682709447[/C][C]Range[/C][C]293[/C][C]Trim Var.[/C][C]2049.21954022988[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]10073.3181818182[/C][C]Range[/C][C]516[/C][C]Trim Var.[/C][C]4526.20935960591[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7994&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7994&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)10701.2144067797Range394Trim Var.8060.3036338225
V(Y[t],d=1,D=0)423.023962594974Range144Trim Var.152.609579100145
V(Y[t],d=2,D=0)973.46521476104Range260Trim Var.253.792986425339
V(Y[t],d=3,D=0)2829.89348370927Range416Trim Var.557.585882352941
V(Y[t],d=0,D=1)3141.95567375887Range243Trim Var.1732.94756097561
V(Y[t],d=1,D=1)767.843663274746Range161Trim Var.264.909756097561
V(Y[t],d=2,D=1)1784.78454106280Range292Trim Var.555.51217948718
V(Y[t],d=3,D=1)5165.01313131313Range480Trim Var.1098.75438596491
V(Y[t],d=0,D=2)5110.57142857143Range263Trim Var.3554.28629032258
V(Y[t],d=1,D=2)1550.64369747899Range167Trim Var.1001.21290322581
V(Y[t],d=2,D=2)3647.47682709447Range293Trim Var.2049.21954022988
V(Y[t],d=3,D=2)10073.3181818182Range516Trim Var.4526.20935960591


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')