FreeStatistics.org

Free Statistics

of Irreproducible Research!

Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_variancereduction.wasp
Title produced by softwareVariance Reduction Matrix
Date of computationFri, 19 Dec 2008 06:02:50 -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/Dec/19/t1229691850rqx2ab46eq6olke.htm/, Retrieved Wed, 15 May 2024 13:53:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=35097, Retrieved Wed, 15 May 2024 13:53:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact210

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Standard Deviation-Mean Plot] [Paper2] [2008-12-19 12:57:19] [8ac58ef7b35dc5a117bc162cf16850e9]
- RM D    [Variance Reduction Matrix] [Paper4] [2008-12-19 13:02:50] [acca1d0ee7cc95ffc080d0867a313954] [Current]
-           [Variance Reduction Matrix] [Paper 4] [2008-12-24 11:49:13] [74be16979710d4c4e7c6647856088456]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
528
478
469
490
493
508
517
514
510
527
542
565
555
499
511
526
532
549
561
557
566
588
620
626
620
573
573
574
580
590
593
597
595
612
628
629
621
569
567
573
584
589
591
595
594
611
613
611
594
543
537
544
555
561
562
555
547
565
578
580

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35097&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35097&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35097&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Variance Reduction Matrix
V(Y[t],d=0,D=0)1581.44745762712Range160Trim Var.1116.63591893781
V(Y[t],d=1,D=0)345.623611922852Range88Trim Var.178.369375907112
V(Y[t],d=2,D=0)485.07683000605Range114Trim Var.247.524886877828
V(Y[t],d=3,D=0)1122.93859649123Range179Trim Var.480.211764705882
V(Y[t],d=0,D=1)1258.97163120567Range125Trim Var.941.767711962834
V(Y[t],d=1,D=1)65.617946345976Range38Trim Var.30.6769230769231
V(Y[t],d=2,D=1)138.573913043478Range61Trim Var.62.4301282051282
V(Y[t],d=3,D=1)421.052525252525Range109Trim Var.178.729018492176
V(Y[t],d=0,D=2)805.23492063492Range131Trim Var.422.821572580645
V(Y[t],d=1,D=2)164.137815126050Range58Trim Var.82.1290322580645
V(Y[t],d=2,D=2)329.21568627451Range93Trim Var.166.3
V(Y[t],d=3,D=2)932.210227272727Range136Trim Var.464.955665024631

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 1581.44745762712 & Range & 160 & Trim Var. & 1116.63591893781 \tabularnewline
V(Y[t],d=1,D=0) & 345.623611922852 & Range & 88 & Trim Var. & 178.369375907112 \tabularnewline
V(Y[t],d=2,D=0) & 485.07683000605 & Range & 114 & Trim Var. & 247.524886877828 \tabularnewline
V(Y[t],d=3,D=0) & 1122.93859649123 & Range & 179 & Trim Var. & 480.211764705882 \tabularnewline
V(Y[t],d=0,D=1) & 1258.97163120567 & Range & 125 & Trim Var. & 941.767711962834 \tabularnewline
V(Y[t],d=1,D=1) & 65.617946345976 & Range & 38 & Trim Var. & 30.6769230769231 \tabularnewline
V(Y[t],d=2,D=1) & 138.573913043478 & Range & 61 & Trim Var. & 62.4301282051282 \tabularnewline
V(Y[t],d=3,D=1) & 421.052525252525 & Range & 109 & Trim Var. & 178.729018492176 \tabularnewline
V(Y[t],d=0,D=2) & 805.23492063492 & Range & 131 & Trim Var. & 422.821572580645 \tabularnewline
V(Y[t],d=1,D=2) & 164.137815126050 & Range & 58 & Trim Var. & 82.1290322580645 \tabularnewline
V(Y[t],d=2,D=2) & 329.21568627451 & Range & 93 & Trim Var. & 166.3 \tabularnewline
V(Y[t],d=3,D=2) & 932.210227272727 & Range & 136 & Trim Var. & 464.955665024631 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35097&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]1581.44745762712[/C][C]Range[/C][C]160[/C][C]Trim Var.[/C][C]1116.63591893781[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]345.623611922852[/C][C]Range[/C][C]88[/C][C]Trim Var.[/C][C]178.369375907112[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]485.07683000605[/C][C]Range[/C][C]114[/C][C]Trim Var.[/C][C]247.524886877828[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]1122.93859649123[/C][C]Range[/C][C]179[/C][C]Trim Var.[/C][C]480.211764705882[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]1258.97163120567[/C][C]Range[/C][C]125[/C][C]Trim Var.[/C][C]941.767711962834[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]65.617946345976[/C][C]Range[/C][C]38[/C][C]Trim Var.[/C][C]30.6769230769231[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]138.573913043478[/C][C]Range[/C][C]61[/C][C]Trim Var.[/C][C]62.4301282051282[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]421.052525252525[/C][C]Range[/C][C]109[/C][C]Trim Var.[/C][C]178.729018492176[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]805.23492063492[/C][C]Range[/C][C]131[/C][C]Trim Var.[/C][C]422.821572580645[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]164.137815126050[/C][C]Range[/C][C]58[/C][C]Trim Var.[/C][C]82.1290322580645[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]329.21568627451[/C][C]Range[/C][C]93[/C][C]Trim Var.[/C][C]166.3[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]932.210227272727[/C][C]Range[/C][C]136[/C][C]Trim Var.[/C][C]464.955665024631[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35097&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35097&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)1581.44745762712Range160Trim Var.1116.63591893781
V(Y[t],d=1,D=0)345.623611922852Range88Trim Var.178.369375907112
V(Y[t],d=2,D=0)485.07683000605Range114Trim Var.247.524886877828
V(Y[t],d=3,D=0)1122.93859649123Range179Trim Var.480.211764705882
V(Y[t],d=0,D=1)1258.97163120567Range125Trim Var.941.767711962834
V(Y[t],d=1,D=1)65.617946345976Range38Trim Var.30.6769230769231
V(Y[t],d=2,D=1)138.573913043478Range61Trim Var.62.4301282051282
V(Y[t],d=3,D=1)421.052525252525Range109Trim Var.178.729018492176
V(Y[t],d=0,D=2)805.23492063492Range131Trim Var.422.821572580645
V(Y[t],d=1,D=2)164.137815126050Range58Trim Var.82.1290322580645
V(Y[t],d=2,D=2)329.21568627451Range93Trim Var.166.3
V(Y[t],d=3,D=2)932.210227272727Range136Trim Var.464.955665024631


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')