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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 computationSat, 20 Dec 2008 08:20:24 -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/t12297865839r367ezohoy4djt.htm/, Retrieved Wed, 22 May 2024 13:34:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=35408, Retrieved Wed, 22 May 2024 13:34:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact226

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Variance Reduction Matrix] [Step 2 eigen tijd...] [2008-12-10 00:14:02] [7a4703cb85a198d9845d72899eff0288]
-   PD    [Variance Reduction Matrix] [PaperVRM1Geoffrey] [2008-12-20 15:20:24] [9bd6ffcbd02a1b442f4187c5798ef35f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
127,84
132,43
134,13
134,78
133,13
129,08
134,48
132,86
134,08
134,54
134,51
135,97
136,09
139,14
135,63
136,55
138,83
138,84
135,37
132,22
134,75
135,98
136,06
138,05
139,59
140,58
139,81
140,77
140,96
143,59
142,7
145,11
146,7
148,53
148,99
149,65
151,11
154,82
156,56
157,6
155,24
160,68
163,22
164,55
166,76
159,05
159,82
164,95
162,89
163,55
158,68
157,97
156,59
161,56
162,31
166,26
168,45
163,63
153,2
133,52
123,28

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35408&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]2 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=35408&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35408&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 time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Variance Reduction Matrix
V(Y[t],d=0,D=0)154.971833715847Range45.17Trim Var.120.584978229318
V(Y[t],d=1,D=0)17.2968752542373Range25.12Trim Var.6.18060614954576
V(Y[t],d=2,D=0)18.1611188194038Range19.3699999999999Trim Var.10.8912871552975
V(Y[t],d=3,D=0)49.6444931941922Range35.1599999999999Trim Var.29.0717916666666
V(Y[t],d=0,D=1)115.911799659864Range60.13Trim Var.31.4913946843854
V(Y[t],d=1,D=1)25.7786721631205Range30.37Trim Var.8.62313147502901
V(Y[t],d=2,D=1)32.857698334875Range30.7199999999999Trim Var.13.3497848780488
V(Y[t],d=3,D=1)77.3950871497582Range47.2399999999999Trim Var.29.6722230128205
V(Y[t],d=0,D=2)247.614133633633Range64.92Trim Var.123.944378030303
V(Y[t],d=1,D=2)51.5073282539682Range41.7100000000000Trim Var.18.0694926411290
V(Y[t],d=2,D=2)86.3049852100839Range48.5599999999999Trim Var.42.299764516129
V(Y[t],d=3,D=2)202.426468181818Range79.3999999999999Trim Var.91.3279057471263

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 154.971833715847 & Range & 45.17 & Trim Var. & 120.584978229318 \tabularnewline
V(Y[t],d=1,D=0) & 17.2968752542373 & Range & 25.12 & Trim Var. & 6.18060614954576 \tabularnewline
V(Y[t],d=2,D=0) & 18.1611188194038 & Range & 19.3699999999999 & Trim Var. & 10.8912871552975 \tabularnewline
V(Y[t],d=3,D=0) & 49.6444931941922 & Range & 35.1599999999999 & Trim Var. & 29.0717916666666 \tabularnewline
V(Y[t],d=0,D=1) & 115.911799659864 & Range & 60.13 & Trim Var. & 31.4913946843854 \tabularnewline
V(Y[t],d=1,D=1) & 25.7786721631205 & Range & 30.37 & Trim Var. & 8.62313147502901 \tabularnewline
V(Y[t],d=2,D=1) & 32.857698334875 & Range & 30.7199999999999 & Trim Var. & 13.3497848780488 \tabularnewline
V(Y[t],d=3,D=1) & 77.3950871497582 & Range & 47.2399999999999 & Trim Var. & 29.6722230128205 \tabularnewline
V(Y[t],d=0,D=2) & 247.614133633633 & Range & 64.92 & Trim Var. & 123.944378030303 \tabularnewline
V(Y[t],d=1,D=2) & 51.5073282539682 & Range & 41.7100000000000 & Trim Var. & 18.0694926411290 \tabularnewline
V(Y[t],d=2,D=2) & 86.3049852100839 & Range & 48.5599999999999 & Trim Var. & 42.299764516129 \tabularnewline
V(Y[t],d=3,D=2) & 202.426468181818 & Range & 79.3999999999999 & Trim Var. & 91.3279057471263 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35408&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]154.971833715847[/C][C]Range[/C][C]45.17[/C][C]Trim Var.[/C][C]120.584978229318[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]17.2968752542373[/C][C]Range[/C][C]25.12[/C][C]Trim Var.[/C][C]6.18060614954576[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]18.1611188194038[/C][C]Range[/C][C]19.3699999999999[/C][C]Trim Var.[/C][C]10.8912871552975[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]49.6444931941922[/C][C]Range[/C][C]35.1599999999999[/C][C]Trim Var.[/C][C]29.0717916666666[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]115.911799659864[/C][C]Range[/C][C]60.13[/C][C]Trim Var.[/C][C]31.4913946843854[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]25.7786721631205[/C][C]Range[/C][C]30.37[/C][C]Trim Var.[/C][C]8.62313147502901[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]32.857698334875[/C][C]Range[/C][C]30.7199999999999[/C][C]Trim Var.[/C][C]13.3497848780488[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]77.3950871497582[/C][C]Range[/C][C]47.2399999999999[/C][C]Trim Var.[/C][C]29.6722230128205[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]247.614133633633[/C][C]Range[/C][C]64.92[/C][C]Trim Var.[/C][C]123.944378030303[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]51.5073282539682[/C][C]Range[/C][C]41.7100000000000[/C][C]Trim Var.[/C][C]18.0694926411290[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]86.3049852100839[/C][C]Range[/C][C]48.5599999999999[/C][C]Trim Var.[/C][C]42.299764516129[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]202.426468181818[/C][C]Range[/C][C]79.3999999999999[/C][C]Trim Var.[/C][C]91.3279057471263[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35408&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35408&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)154.971833715847Range45.17Trim Var.120.584978229318
V(Y[t],d=1,D=0)17.2968752542373Range25.12Trim Var.6.18060614954576
V(Y[t],d=2,D=0)18.1611188194038Range19.3699999999999Trim Var.10.8912871552975
V(Y[t],d=3,D=0)49.6444931941922Range35.1599999999999Trim Var.29.0717916666666
V(Y[t],d=0,D=1)115.911799659864Range60.13Trim Var.31.4913946843854
V(Y[t],d=1,D=1)25.7786721631205Range30.37Trim Var.8.62313147502901
V(Y[t],d=2,D=1)32.857698334875Range30.7199999999999Trim Var.13.3497848780488
V(Y[t],d=3,D=1)77.3950871497582Range47.2399999999999Trim Var.29.6722230128205
V(Y[t],d=0,D=2)247.614133633633Range64.92Trim Var.123.944378030303
V(Y[t],d=1,D=2)51.5073282539682Range41.7100000000000Trim Var.18.0694926411290
V(Y[t],d=2,D=2)86.3049852100839Range48.5599999999999Trim Var.42.299764516129
V(Y[t],d=3,D=2)202.426468181818Range79.3999999999999Trim Var.91.3279057471263


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 60 ; par2 = 1 ; par3 = 1 ; par4 = 0 ; par5 = 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')