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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 computationMon, 26 Nov 2007 11:06:53 -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/26/t1196099962qkx9sl7r8s89hm9.htm/, Retrieved Thu, 02 May 2024 20:07:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=6602, Retrieved Thu, 02 May 2024 20:07:22 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact213

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Variance Reduction Matrix] [Opdracht 4 questi...] [2007-11-26 18:06:53] [cb172450b25aceeff04d58e88e905157] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
476
475
470
461
455
456
517
525
523
519
509
512
519
517
510
509
501
507
569
580
578
565
547
555
562
561
555
544
537
543
594
611
613
611
594
595
591
589
584
573
567
569
621
629
628
612
595
597
593
590
580
574
573
573
620
626
620
588
566
557

Tables (Output of Computation)





Summary of compuational 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 compuational 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=6602&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]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=6602&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6602&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 time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Variance Reduction Matrix
V(Y[t],d=0,D=0)2200.61581920904Range174Trim Var.1597.25541579315
V(Y[t],d=1,D=0)339.858562244302Range94Trim Var.148.324383164006
V(Y[t],d=2,D=0)501.454325468845Range113Trim Var.235.078431372549
V(Y[t],d=3,D=0)1263.67731829574Range166Trim Var.604.851764705882
V(Y[t],d=0,D=1)552.381205673759Range95Trim Var.338.462833914053
V(Y[t],d=1,D=1)33.5309898242368Range27Trim Var.15.8178137651822
V(Y[t],d=2,D=1)56.0405797101449Range28Trim Var.36.4062078272605
V(Y[t],d=3,D=1)165.282828282828Range48Trim Var.101.559743954481
V(Y[t],d=0,D=2)197.4Range55Trim Var.133.515120967742
V(Y[t],d=1,D=2)86.1058823529412Range45Trim Var.48.4666666666667
V(Y[t],d=2,D=2)152.431372549020Range51Trim Var.85.8768472906404
V(Y[t],d=3,D=2)431.751893939394Range85Trim Var.270.935960591133

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 2200.61581920904 & Range & 174 & Trim Var. & 1597.25541579315 \tabularnewline
V(Y[t],d=1,D=0) & 339.858562244302 & Range & 94 & Trim Var. & 148.324383164006 \tabularnewline
V(Y[t],d=2,D=0) & 501.454325468845 & Range & 113 & Trim Var. & 235.078431372549 \tabularnewline
V(Y[t],d=3,D=0) & 1263.67731829574 & Range & 166 & Trim Var. & 604.851764705882 \tabularnewline
V(Y[t],d=0,D=1) & 552.381205673759 & Range & 95 & Trim Var. & 338.462833914053 \tabularnewline
V(Y[t],d=1,D=1) & 33.5309898242368 & Range & 27 & Trim Var. & 15.8178137651822 \tabularnewline
V(Y[t],d=2,D=1) & 56.0405797101449 & Range & 28 & Trim Var. & 36.4062078272605 \tabularnewline
V(Y[t],d=3,D=1) & 165.282828282828 & Range & 48 & Trim Var. & 101.559743954481 \tabularnewline
V(Y[t],d=0,D=2) & 197.4 & Range & 55 & Trim Var. & 133.515120967742 \tabularnewline
V(Y[t],d=1,D=2) & 86.1058823529412 & Range & 45 & Trim Var. & 48.4666666666667 \tabularnewline
V(Y[t],d=2,D=2) & 152.431372549020 & Range & 51 & Trim Var. & 85.8768472906404 \tabularnewline
V(Y[t],d=3,D=2) & 431.751893939394 & Range & 85 & Trim Var. & 270.935960591133 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6602&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]2200.61581920904[/C][C]Range[/C][C]174[/C][C]Trim Var.[/C][C]1597.25541579315[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]339.858562244302[/C][C]Range[/C][C]94[/C][C]Trim Var.[/C][C]148.324383164006[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]501.454325468845[/C][C]Range[/C][C]113[/C][C]Trim Var.[/C][C]235.078431372549[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]1263.67731829574[/C][C]Range[/C][C]166[/C][C]Trim Var.[/C][C]604.851764705882[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]552.381205673759[/C][C]Range[/C][C]95[/C][C]Trim Var.[/C][C]338.462833914053[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]33.5309898242368[/C][C]Range[/C][C]27[/C][C]Trim Var.[/C][C]15.8178137651822[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]56.0405797101449[/C][C]Range[/C][C]28[/C][C]Trim Var.[/C][C]36.4062078272605[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]165.282828282828[/C][C]Range[/C][C]48[/C][C]Trim Var.[/C][C]101.559743954481[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]197.4[/C][C]Range[/C][C]55[/C][C]Trim Var.[/C][C]133.515120967742[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]86.1058823529412[/C][C]Range[/C][C]45[/C][C]Trim Var.[/C][C]48.4666666666667[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]152.431372549020[/C][C]Range[/C][C]51[/C][C]Trim Var.[/C][C]85.8768472906404[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]431.751893939394[/C][C]Range[/C][C]85[/C][C]Trim Var.[/C][C]270.935960591133[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6602&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6602&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)2200.61581920904Range174Trim Var.1597.25541579315
V(Y[t],d=1,D=0)339.858562244302Range94Trim Var.148.324383164006
V(Y[t],d=2,D=0)501.454325468845Range113Trim Var.235.078431372549
V(Y[t],d=3,D=0)1263.67731829574Range166Trim Var.604.851764705882
V(Y[t],d=0,D=1)552.381205673759Range95Trim Var.338.462833914053
V(Y[t],d=1,D=1)33.5309898242368Range27Trim Var.15.8178137651822
V(Y[t],d=2,D=1)56.0405797101449Range28Trim Var.36.4062078272605
V(Y[t],d=3,D=1)165.282828282828Range48Trim Var.101.559743954481
V(Y[t],d=0,D=2)197.4Range55Trim Var.133.515120967742
V(Y[t],d=1,D=2)86.1058823529412Range45Trim Var.48.4666666666667
V(Y[t],d=2,D=2)152.431372549020Range51Trim Var.85.8768472906404
V(Y[t],d=3,D=2)431.751893939394Range85Trim Var.270.935960591133


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')