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Description of Statistical Computation

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 computationSat, 20 Dec 2008 15:01:54 -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/20/t122981058584j5bv8c23ch9yk.htm/, Retrieved Fri, 24 May 2024 16:48:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=35455, Retrieved Fri, 24 May 2024 16:48:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact191

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
F RMP   [Variance Reduction Matrix] [VRM step 2] [2008-12-08 11:08:54] [7173087adebe3e3a714c80ea2417b3eb]
-    D      [Variance Reduction Matrix] [VRM werkloosheid] [2008-12-20 22:01:54] [9ba97de59bb4d2edf0cfeac4ca7d2b73] [Current]
-    D        [Variance Reduction Matrix] [VRM inschr. perso...] [2008-12-21 13:20:46] [8b0d202c3a0c4ea223fd8b8e731dacd8]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
467037
460070
447988
442867
436087
431328
484015
509673
512927
502831
470984
471067
476049
474605
470439
461251
454724
455626
516847
525192
522975
518585
509239
512238
519164
517009
509933
509127
500857
506971
569323
579714
577992
565464
547344
554788
562325
560854
555332
543599
536662
542722
593530
610763
612613
611324
594167
595454
590865
589379
584428
573100
567456
569028
620735
628884
628232
612117
595404
597141
593408
590072
579799
574205
572775
572942
619567
625809
619916
587625
565742
557274
560576
548854
531673
525919
511038
498662
555362
564591
541657
527070
509846
514258

Tables (Output of Computation)





Summary of computational 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 computational 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=35455&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]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=35455&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35455&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 time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Variance Reduction Matrix
V(Y[t],d=0,D=0)2689490088.84108Range197556Trim Var.1905899121.77416
V(Y[t],d=1,D=0)364362022.775198Range94643Trim Var.139546704.342466
V(Y[t],d=2,D=0)545819577.241945Range121952Trim Var.218599358.008607
V(Y[t],d=3,D=0)1344222429.74444Range183118Trim Var.526970512.951308
V(Y[t],d=0,D=1)1305990507.10485Range133276Trim Var.939344745.829117
V(Y[t],d=1,D=1)60560499.9118712Range39814Trim Var.33105423.3492064
V(Y[t],d=2,D=1)113075069.482609Range60592Trim Var.61606061.417504
V(Y[t],d=3,D=1)331425911.458227Range102563Trim Var.181770581.236612
V(Y[t],d=0,D=2)786035998.978531Range123163Trim Var.523316145.572327
V(Y[t],d=1,D=2)135141228.000584Range65155Trim Var.72103292.6865022
V(Y[t],d=2,D=2)243934676.640351Range74049Trim Var.158661180.613876
V(Y[t],d=3,D=2)715590735.466792Range132105Trim Var.460160797.339608

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 2689490088.84108 & Range & 197556 & Trim Var. & 1905899121.77416 \tabularnewline
V(Y[t],d=1,D=0) & 364362022.775198 & Range & 94643 & Trim Var. & 139546704.342466 \tabularnewline
V(Y[t],d=2,D=0) & 545819577.241945 & Range & 121952 & Trim Var. & 218599358.008607 \tabularnewline
V(Y[t],d=3,D=0) & 1344222429.74444 & Range & 183118 & Trim Var. & 526970512.951308 \tabularnewline
V(Y[t],d=0,D=1) & 1305990507.10485 & Range & 133276 & Trim Var. & 939344745.829117 \tabularnewline
V(Y[t],d=1,D=1) & 60560499.9118712 & Range & 39814 & Trim Var. & 33105423.3492064 \tabularnewline
V(Y[t],d=2,D=1) & 113075069.482609 & Range & 60592 & Trim Var. & 61606061.417504 \tabularnewline
V(Y[t],d=3,D=1) & 331425911.458227 & Range & 102563 & Trim Var. & 181770581.236612 \tabularnewline
V(Y[t],d=0,D=2) & 786035998.978531 & Range & 123163 & Trim Var. & 523316145.572327 \tabularnewline
V(Y[t],d=1,D=2) & 135141228.000584 & Range & 65155 & Trim Var. & 72103292.6865022 \tabularnewline
V(Y[t],d=2,D=2) & 243934676.640351 & Range & 74049 & Trim Var. & 158661180.613876 \tabularnewline
V(Y[t],d=3,D=2) & 715590735.466792 & Range & 132105 & Trim Var. & 460160797.339608 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35455&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]2689490088.84108[/C][C]Range[/C][C]197556[/C][C]Trim Var.[/C][C]1905899121.77416[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]364362022.775198[/C][C]Range[/C][C]94643[/C][C]Trim Var.[/C][C]139546704.342466[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]545819577.241945[/C][C]Range[/C][C]121952[/C][C]Trim Var.[/C][C]218599358.008607[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]1344222429.74444[/C][C]Range[/C][C]183118[/C][C]Trim Var.[/C][C]526970512.951308[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]1305990507.10485[/C][C]Range[/C][C]133276[/C][C]Trim Var.[/C][C]939344745.829117[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]60560499.9118712[/C][C]Range[/C][C]39814[/C][C]Trim Var.[/C][C]33105423.3492064[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]113075069.482609[/C][C]Range[/C][C]60592[/C][C]Trim Var.[/C][C]61606061.417504[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]331425911.458227[/C][C]Range[/C][C]102563[/C][C]Trim Var.[/C][C]181770581.236612[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]786035998.978531[/C][C]Range[/C][C]123163[/C][C]Trim Var.[/C][C]523316145.572327[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]135141228.000584[/C][C]Range[/C][C]65155[/C][C]Trim Var.[/C][C]72103292.6865022[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]243934676.640351[/C][C]Range[/C][C]74049[/C][C]Trim Var.[/C][C]158661180.613876[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]715590735.466792[/C][C]Range[/C][C]132105[/C][C]Trim Var.[/C][C]460160797.339608[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35455&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35455&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)2689490088.84108Range197556Trim Var.1905899121.77416
V(Y[t],d=1,D=0)364362022.775198Range94643Trim Var.139546704.342466
V(Y[t],d=2,D=0)545819577.241945Range121952Trim Var.218599358.008607
V(Y[t],d=3,D=0)1344222429.74444Range183118Trim Var.526970512.951308
V(Y[t],d=0,D=1)1305990507.10485Range133276Trim Var.939344745.829117
V(Y[t],d=1,D=1)60560499.9118712Range39814Trim Var.33105423.3492064
V(Y[t],d=2,D=1)113075069.482609Range60592Trim Var.61606061.417504
V(Y[t],d=3,D=1)331425911.458227Range102563Trim Var.181770581.236612
V(Y[t],d=0,D=2)786035998.978531Range123163Trim Var.523316145.572327
V(Y[t],d=1,D=2)135141228.000584Range65155Trim Var.72103292.6865022
V(Y[t],d=2,D=2)243934676.640351Range74049Trim Var.158661180.613876
V(Y[t],d=3,D=2)715590735.466792Range132105Trim Var.460160797.339608


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')