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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 computationThu, 29 Nov 2007 03:45:25 -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/29/t1196332515in0mu3tgr0qb5ak.htm/, Retrieved Fri, 03 May 2024 04:24:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=7399, Retrieved Fri, 03 May 2024 04:24:43 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordss0650668 Tijdreeks 2: Indexcijfers
Estimated Impact181

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] [Inducing stationa...] [2007-11-29 10:45:25] [b487e2f14d9a98d85035381cdee55b72] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
103,52
103,5
103,52
103,53
103,53
103,53
103,52
103,54
103,59
103,59
103,59
103,59
103,63
103,74
103,7
103,72
103,81
103,8
104,22
106,91
107,06
107,17
107,25
107,28
107,24
107,23
107,34
107,34
107,3
107,24
107,3
107,32
107,28
107,33
107,33
107,33
107,28
107,28
107,29
107,29
107,23
107,24
107,24
107,2
107,23
107,2
107,21
107,24
107,21
113,89
114,05
114,05
114,05
114,05
115,12
115,68
116,05
116,18
116,35
116,44
117
117,61
118,17
118,33
118,33
118,42
118,5
118,67
119,09
119,14
119,23
119,33

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7399&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7399&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7399&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 time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Variance Reduction Matrix
V(Y[t],d=0,D=0)30.0366112480438Range15.83Trim Var.25.4762428571429
V(Y[t],d=1,D=0)0.736614164989941Range6.74000000000001Trim Var.0.0211517979904812
V(Y[t],d=2,D=0)1.47300861283644Range13.2300000000000Trim Var.0.0116379957694340
V(Y[t],d=3,D=0)4.41109833759592Range20.0000000000000Trim Var.0.0477287431693983
V(Y[t],d=0,D=1)9.1486511581921Range9.92Trim Var.7.28739849755416
V(Y[t],d=1,D=1)1.71557258912917Range12.7500000000000Trim Var.0.0327246734397676
V(Y[t],d=2,D=1)3.51873599516032Range13.3200000000000Trim Var.0.286272209653091
V(Y[t],d=3,D=1)10.7842718671680Range26.3200000000001Trim Var.1.51212666666666
V(Y[t],d=0,D=2)26.1535758865248Range16.17Trim Var.20.8159226480836
V(Y[t],d=1,D=2)5.42023746530991Range19.4200000000000Trim Var.0.0869695121951206
V(Y[t],d=2,D=2)11.0834295652174Range26.3200000000001Trim Var.0.533866666666673
V(Y[t],d=3,D=2)33.9805563636365Range40.1800000000001Trim Var.3.46145344129557

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 30.0366112480438 & Range & 15.83 & Trim Var. & 25.4762428571429 \tabularnewline
V(Y[t],d=1,D=0) & 0.736614164989941 & Range & 6.74000000000001 & Trim Var. & 0.0211517979904812 \tabularnewline
V(Y[t],d=2,D=0) & 1.47300861283644 & Range & 13.2300000000000 & Trim Var. & 0.0116379957694340 \tabularnewline
V(Y[t],d=3,D=0) & 4.41109833759592 & Range & 20.0000000000000 & Trim Var. & 0.0477287431693983 \tabularnewline
V(Y[t],d=0,D=1) & 9.1486511581921 & Range & 9.92 & Trim Var. & 7.28739849755416 \tabularnewline
V(Y[t],d=1,D=1) & 1.71557258912917 & Range & 12.7500000000000 & Trim Var. & 0.0327246734397676 \tabularnewline
V(Y[t],d=2,D=1) & 3.51873599516032 & Range & 13.3200000000000 & Trim Var. & 0.286272209653091 \tabularnewline
V(Y[t],d=3,D=1) & 10.7842718671680 & Range & 26.3200000000001 & Trim Var. & 1.51212666666666 \tabularnewline
V(Y[t],d=0,D=2) & 26.1535758865248 & Range & 16.17 & Trim Var. & 20.8159226480836 \tabularnewline
V(Y[t],d=1,D=2) & 5.42023746530991 & Range & 19.4200000000000 & Trim Var. & 0.0869695121951206 \tabularnewline
V(Y[t],d=2,D=2) & 11.0834295652174 & Range & 26.3200000000001 & Trim Var. & 0.533866666666673 \tabularnewline
V(Y[t],d=3,D=2) & 33.9805563636365 & Range & 40.1800000000001 & Trim Var. & 3.46145344129557 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7399&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]30.0366112480438[/C][C]Range[/C][C]15.83[/C][C]Trim Var.[/C][C]25.4762428571429[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.736614164989941[/C][C]Range[/C][C]6.74000000000001[/C][C]Trim Var.[/C][C]0.0211517979904812[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]1.47300861283644[/C][C]Range[/C][C]13.2300000000000[/C][C]Trim Var.[/C][C]0.0116379957694340[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]4.41109833759592[/C][C]Range[/C][C]20.0000000000000[/C][C]Trim Var.[/C][C]0.0477287431693983[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]9.1486511581921[/C][C]Range[/C][C]9.92[/C][C]Trim Var.[/C][C]7.28739849755416[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]1.71557258912917[/C][C]Range[/C][C]12.7500000000000[/C][C]Trim Var.[/C][C]0.0327246734397676[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]3.51873599516032[/C][C]Range[/C][C]13.3200000000000[/C][C]Trim Var.[/C][C]0.286272209653091[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]10.7842718671680[/C][C]Range[/C][C]26.3200000000001[/C][C]Trim Var.[/C][C]1.51212666666666[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]26.1535758865248[/C][C]Range[/C][C]16.17[/C][C]Trim Var.[/C][C]20.8159226480836[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]5.42023746530991[/C][C]Range[/C][C]19.4200000000000[/C][C]Trim Var.[/C][C]0.0869695121951206[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]11.0834295652174[/C][C]Range[/C][C]26.3200000000001[/C][C]Trim Var.[/C][C]0.533866666666673[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]33.9805563636365[/C][C]Range[/C][C]40.1800000000001[/C][C]Trim Var.[/C][C]3.46145344129557[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7399&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7399&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)30.0366112480438Range15.83Trim Var.25.4762428571429
V(Y[t],d=1,D=0)0.736614164989941Range6.74000000000001Trim Var.0.0211517979904812
V(Y[t],d=2,D=0)1.47300861283644Range13.2300000000000Trim Var.0.0116379957694340
V(Y[t],d=3,D=0)4.41109833759592Range20.0000000000000Trim Var.0.0477287431693983
V(Y[t],d=0,D=1)9.1486511581921Range9.92Trim Var.7.28739849755416
V(Y[t],d=1,D=1)1.71557258912917Range12.7500000000000Trim Var.0.0327246734397676
V(Y[t],d=2,D=1)3.51873599516032Range13.3200000000000Trim Var.0.286272209653091
V(Y[t],d=3,D=1)10.7842718671680Range26.3200000000001Trim Var.1.51212666666666
V(Y[t],d=0,D=2)26.1535758865248Range16.17Trim Var.20.8159226480836
V(Y[t],d=1,D=2)5.42023746530991Range19.4200000000000Trim Var.0.0869695121951206
V(Y[t],d=2,D=2)11.0834295652174Range26.3200000000001Trim Var.0.533866666666673
V(Y[t],d=3,D=2)33.9805563636365Range40.1800000000001Trim Var.3.46145344129557


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')