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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 computationWed, 08 Dec 2010 15:38:00 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/08/t12918225726jyvn8cn6kgr56s.htm/, Retrieved Fri, 03 May 2024 13:46:59 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=106959, Retrieved Fri, 03 May 2024 13:46:59 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact50

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Univariate Data Series] [Identifying Integ...] [2009-11-22 12:08:06] [b98453cac15ba1066b407e146608df68]
- RMP         [Variance Reduction Matrix] [Births] [2010-11-29 09:39:41] [b98453cac15ba1066b407e146608df68]
-   PD            [Variance Reduction Matrix] [WS 9 : VRM ] [2010-12-08 15:38:00] [fea2623c21d84eea50328c29ea7301e7] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
627
696
825
677
656
785
412
352
839
729
696
641
695
638
762
635
721
854
418
367
824
687
601
676
740
691
683
594
729
731
386
331
707
715
657
653
642
643
718
654
632
731
392
344
792
852
649
629
685
617
715
715
629
916
531
357
917
828
708
858
775
785
1006
789
734
906
532
387
991
841
892
782

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=106959&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=106959&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106959&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)24501.255086072Range675Trim Var.15508.0148809524
V(Y[t],d=1,D=0)42537.0945674044Range1040Trim Var.19900.3584229391
V(Y[t],d=2,D=0)108794.018426501Range1503Trim Var.66433.9727657324
V(Y[t],d=3,D=0)310082.105285592Range2458Trim Var.184958.705464481
V(Y[t],d=0,D=1)7046.22457627119Range414Trim Var.4142.74074074074
V(Y[t],d=1,D=1)9662.18176504968Range448Trim Var.6305.89042089985
V(Y[t],d=2,D=1)25844.3932244404Range685Trim Var.17379.7073906486
V(Y[t],d=3,D=1)77136.469924812Range1251Trim Var.50592.6596078431
V(Y[t],d=0,D=2)15003.3612588652Range599Trim Var.8430.54819976771
V(Y[t],d=1,D=2)23373.1304347826Range658Trim Var.14272.5560975610
V(Y[t],d=2,D=2)56352.1971014493Range952Trim Var.36986.4967948718
V(Y[t],d=3,D=2)158930.801010101Range1532Trim Var.101592.564102564

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 24501.255086072 & Range & 675 & Trim Var. & 15508.0148809524 \tabularnewline
V(Y[t],d=1,D=0) & 42537.0945674044 & Range & 1040 & Trim Var. & 19900.3584229391 \tabularnewline
V(Y[t],d=2,D=0) & 108794.018426501 & Range & 1503 & Trim Var. & 66433.9727657324 \tabularnewline
V(Y[t],d=3,D=0) & 310082.105285592 & Range & 2458 & Trim Var. & 184958.705464481 \tabularnewline
V(Y[t],d=0,D=1) & 7046.22457627119 & Range & 414 & Trim Var. & 4142.74074074074 \tabularnewline
V(Y[t],d=1,D=1) & 9662.18176504968 & Range & 448 & Trim Var. & 6305.89042089985 \tabularnewline
V(Y[t],d=2,D=1) & 25844.3932244404 & Range & 685 & Trim Var. & 17379.7073906486 \tabularnewline
V(Y[t],d=3,D=1) & 77136.469924812 & Range & 1251 & Trim Var. & 50592.6596078431 \tabularnewline
V(Y[t],d=0,D=2) & 15003.3612588652 & Range & 599 & Trim Var. & 8430.54819976771 \tabularnewline
V(Y[t],d=1,D=2) & 23373.1304347826 & Range & 658 & Trim Var. & 14272.5560975610 \tabularnewline
V(Y[t],d=2,D=2) & 56352.1971014493 & Range & 952 & Trim Var. & 36986.4967948718 \tabularnewline
V(Y[t],d=3,D=2) & 158930.801010101 & Range & 1532 & Trim Var. & 101592.564102564 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=106959&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]24501.255086072[/C][C]Range[/C][C]675[/C][C]Trim Var.[/C][C]15508.0148809524[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]42537.0945674044[/C][C]Range[/C][C]1040[/C][C]Trim Var.[/C][C]19900.3584229391[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]108794.018426501[/C][C]Range[/C][C]1503[/C][C]Trim Var.[/C][C]66433.9727657324[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]310082.105285592[/C][C]Range[/C][C]2458[/C][C]Trim Var.[/C][C]184958.705464481[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]7046.22457627119[/C][C]Range[/C][C]414[/C][C]Trim Var.[/C][C]4142.74074074074[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]9662.18176504968[/C][C]Range[/C][C]448[/C][C]Trim Var.[/C][C]6305.89042089985[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]25844.3932244404[/C][C]Range[/C][C]685[/C][C]Trim Var.[/C][C]17379.7073906486[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]77136.469924812[/C][C]Range[/C][C]1251[/C][C]Trim Var.[/C][C]50592.6596078431[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]15003.3612588652[/C][C]Range[/C][C]599[/C][C]Trim Var.[/C][C]8430.54819976771[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]23373.1304347826[/C][C]Range[/C][C]658[/C][C]Trim Var.[/C][C]14272.5560975610[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]56352.1971014493[/C][C]Range[/C][C]952[/C][C]Trim Var.[/C][C]36986.4967948718[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]158930.801010101[/C][C]Range[/C][C]1532[/C][C]Trim Var.[/C][C]101592.564102564[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=106959&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106959&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)24501.255086072Range675Trim Var.15508.0148809524
V(Y[t],d=1,D=0)42537.0945674044Range1040Trim Var.19900.3584229391
V(Y[t],d=2,D=0)108794.018426501Range1503Trim Var.66433.9727657324
V(Y[t],d=3,D=0)310082.105285592Range2458Trim Var.184958.705464481
V(Y[t],d=0,D=1)7046.22457627119Range414Trim Var.4142.74074074074
V(Y[t],d=1,D=1)9662.18176504968Range448Trim Var.6305.89042089985
V(Y[t],d=2,D=1)25844.3932244404Range685Trim Var.17379.7073906486
V(Y[t],d=3,D=1)77136.469924812Range1251Trim Var.50592.6596078431
V(Y[t],d=0,D=2)15003.3612588652Range599Trim Var.8430.54819976771
V(Y[t],d=1,D=2)23373.1304347826Range658Trim Var.14272.5560975610
V(Y[t],d=2,D=2)56352.1971014493Range952Trim Var.36986.4967948718
V(Y[t],d=3,D=2)158930.801010101Range1532Trim Var.101592.564102564


Figures (Output of Computation)

Input Parameters & R Code

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