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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 computationFri, 23 Nov 2007 07:18:32 -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/2007/Nov/23/t1195826997gcvuobon8k5ffhu.htm/, Retrieved Sun, 28 Apr 2024 22:02:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=6180, Retrieved Sun, 28 Apr 2024 22:02:03 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact193

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [(Partial) Autocorrelation Function] [Partiel Autocorre...] [2007-11-22 13:00:02] [ced1562ed3c62c3bc1f3b66b8f83b537]
- RMPD    [Variance Reduction Matrix] [ws9] [2007-11-23 14:18:32] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
373
371
354
357
363
364
363
358
357
357
380
378
376
380
379
384
392
394
392
396
392
396
419
421
420
418
410
418
426
428
430
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423
427
441
449
452
462
455
461
461
463
462
456
455
456
472
472
471
465
459
465
468
467
463
460
462
461
476
476
471
453
443
442
444
438
427
424
416
406
431
434
418

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=6180&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=6180&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6180&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)1402.25608828006Range122Trim Var.1131.97211538462
V(Y[t],d=1,D=0)65.1954225352113Range43Trim Var.27.3293650793651
V(Y[t],d=2,D=0)114.217706237425Range60Trim Var.57.4654377880184
V(Y[t],d=3,D=0)297.330020703934Range94Trim Var.120.455191256831
V(Y[t],d=0,D=1)65.1954225352113Range43Trim Var.27.3293650793651
V(Y[t],d=1,D=1)114.217706237425Range60Trim Var.57.4654377880184
V(Y[t],d=2,D=1)297.330020703934Range94Trim Var.120.455191256831
V(Y[t],d=3,D=1)919.046462063086Range167Trim Var.470.972677595628
V(Y[t],d=0,D=2)114.217706237425Range60Trim Var.57.4654377880184
V(Y[t],d=1,D=2)297.330020703934Range94Trim Var.120.455191256831
V(Y[t],d=2,D=2)919.046462063086Range167Trim Var.470.972677595628
V(Y[t],d=3,D=2)3024.26163301141Range282Trim Var.1592.92966101695

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 1402.25608828006 & Range & 122 & Trim Var. & 1131.97211538462 \tabularnewline
V(Y[t],d=1,D=0) & 65.1954225352113 & Range & 43 & Trim Var. & 27.3293650793651 \tabularnewline
V(Y[t],d=2,D=0) & 114.217706237425 & Range & 60 & Trim Var. & 57.4654377880184 \tabularnewline
V(Y[t],d=3,D=0) & 297.330020703934 & Range & 94 & Trim Var. & 120.455191256831 \tabularnewline
V(Y[t],d=0,D=1) & 65.1954225352113 & Range & 43 & Trim Var. & 27.3293650793651 \tabularnewline
V(Y[t],d=1,D=1) & 114.217706237425 & Range & 60 & Trim Var. & 57.4654377880184 \tabularnewline
V(Y[t],d=2,D=1) & 297.330020703934 & Range & 94 & Trim Var. & 120.455191256831 \tabularnewline
V(Y[t],d=3,D=1) & 919.046462063086 & Range & 167 & Trim Var. & 470.972677595628 \tabularnewline
V(Y[t],d=0,D=2) & 114.217706237425 & Range & 60 & Trim Var. & 57.4654377880184 \tabularnewline
V(Y[t],d=1,D=2) & 297.330020703934 & Range & 94 & Trim Var. & 120.455191256831 \tabularnewline
V(Y[t],d=2,D=2) & 919.046462063086 & Range & 167 & Trim Var. & 470.972677595628 \tabularnewline
V(Y[t],d=3,D=2) & 3024.26163301141 & Range & 282 & Trim Var. & 1592.92966101695 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6180&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]1402.25608828006[/C][C]Range[/C][C]122[/C][C]Trim Var.[/C][C]1131.97211538462[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]65.1954225352113[/C][C]Range[/C][C]43[/C][C]Trim Var.[/C][C]27.3293650793651[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]114.217706237425[/C][C]Range[/C][C]60[/C][C]Trim Var.[/C][C]57.4654377880184[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]297.330020703934[/C][C]Range[/C][C]94[/C][C]Trim Var.[/C][C]120.455191256831[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]65.1954225352113[/C][C]Range[/C][C]43[/C][C]Trim Var.[/C][C]27.3293650793651[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]114.217706237425[/C][C]Range[/C][C]60[/C][C]Trim Var.[/C][C]57.4654377880184[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]297.330020703934[/C][C]Range[/C][C]94[/C][C]Trim Var.[/C][C]120.455191256831[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]919.046462063086[/C][C]Range[/C][C]167[/C][C]Trim Var.[/C][C]470.972677595628[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]114.217706237425[/C][C]Range[/C][C]60[/C][C]Trim Var.[/C][C]57.4654377880184[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]297.330020703934[/C][C]Range[/C][C]94[/C][C]Trim Var.[/C][C]120.455191256831[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]919.046462063086[/C][C]Range[/C][C]167[/C][C]Trim Var.[/C][C]470.972677595628[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]3024.26163301141[/C][C]Range[/C][C]282[/C][C]Trim Var.[/C][C]1592.92966101695[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6180&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6180&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)1402.25608828006Range122Trim Var.1131.97211538462
V(Y[t],d=1,D=0)65.1954225352113Range43Trim Var.27.3293650793651
V(Y[t],d=2,D=0)114.217706237425Range60Trim Var.57.4654377880184
V(Y[t],d=3,D=0)297.330020703934Range94Trim Var.120.455191256831
V(Y[t],d=0,D=1)65.1954225352113Range43Trim Var.27.3293650793651
V(Y[t],d=1,D=1)114.217706237425Range60Trim Var.57.4654377880184
V(Y[t],d=2,D=1)297.330020703934Range94Trim Var.120.455191256831
V(Y[t],d=3,D=1)919.046462063086Range167Trim Var.470.972677595628
V(Y[t],d=0,D=2)114.217706237425Range60Trim Var.57.4654377880184
V(Y[t],d=1,D=2)297.330020703934Range94Trim Var.120.455191256831
V(Y[t],d=2,D=2)919.046462063086Range167Trim Var.470.972677595628
V(Y[t],d=3,D=2)3024.26163301141Range282Trim Var.1592.92966101695


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 1 ; par4 = 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')