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Author's title

Author*Unverified author*
R Software Modulerwasp_variancereduction.wasp
Title produced by softwareVariance Reduction Matrix
Date of computationSat, 24 Nov 2007 05:47:34 -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/24/t1195907996y2cru5jtvyaumzj.htm/, Retrieved Fri, 03 May 2024 14:19:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=6267, Retrieved Fri, 03 May 2024 14:19:47 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsG19Q2a
Estimated Impact244
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Variance Reduction Matrix] [Variance Reductio...] [2007-11-24 12:47:34] [6b5c00822e2ce0f7cf73539c28d95782] [Current]
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Dataseries X:
106,48
106,83
107,14
107,94
108,46
108,81
108,92
108,99
109,16
109,22
109,43
109,23
109,93
110,09
110,33
110,11
110,35
110,09
110,44
110,39
110,62
110,43
110,46
110,55
110,94
111,56
111,82
111,73
111,57
111,85
112,06
112,2
112,47
112,15
112,36
112,32
112,67
113,02
113,05
113,5
113,67
113,65
114
114,03
114,08
114,49
114,48
114,25
114,68
115,28
115,9
115,87
116,09
116,29
116,76
116,78
116,65
116,46
116,82
116,91




Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 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=6267&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]1 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=6267&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6267&T=0

As an alternative you can also use a 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 time1 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001







Variance Reduction Matrix
V(Y[t],d=0,D=0)7.8368163559322Range10.43Trim Var.5.86785174703005
V(Y[t],d=1,D=0)0.0649532437171244Range1.11999999999999Trim Var.0.0411760180995475
V(Y[t],d=2,D=0)0.128390078644888Range1.55000000000001Trim Var.0.0908112745098032
V(Y[t],d=3,D=0)0.395924498746865Range2.75000000000003Trim Var.0.279045176470589
V(Y[t],d=0,D=1)0.341854609929080Range2.44000000000001Trim Var.0.201339198606272
V(Y[t],d=1,D=1)0.115939592969472Range1.74999999999999Trim Var.0.0535066666666671
V(Y[t],d=2,D=1)0.265121014492752Range2.04000000000001Trim Var.0.160245897435897
V(Y[t],d=3,D=1)0.861614949494942Range3.58999999999995Trim Var.0.581899999999996
V(Y[t],d=0,D=2)0.660202857142861Range4.06000000000002Trim Var.0.306875705645162
V(Y[t],d=1,D=2)0.332758487394956Range2.48000000000000Trim Var.0.193737849462364
V(Y[t],d=2,D=2)0.85661283422459Range3.75999999999996Trim Var.0.590302988505741
V(Y[t],d=3,D=2)2.82919431818179Range6.08999999999995Trim Var.2.10618103448275

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 7.8368163559322 & Range & 10.43 & Trim Var. & 5.86785174703005 \tabularnewline
V(Y[t],d=1,D=0) & 0.0649532437171244 & Range & 1.11999999999999 & Trim Var. & 0.0411760180995475 \tabularnewline
V(Y[t],d=2,D=0) & 0.128390078644888 & Range & 1.55000000000001 & Trim Var. & 0.0908112745098032 \tabularnewline
V(Y[t],d=3,D=0) & 0.395924498746865 & Range & 2.75000000000003 & Trim Var. & 0.279045176470589 \tabularnewline
V(Y[t],d=0,D=1) & 0.341854609929080 & Range & 2.44000000000001 & Trim Var. & 0.201339198606272 \tabularnewline
V(Y[t],d=1,D=1) & 0.115939592969472 & Range & 1.74999999999999 & Trim Var. & 0.0535066666666671 \tabularnewline
V(Y[t],d=2,D=1) & 0.265121014492752 & Range & 2.04000000000001 & Trim Var. & 0.160245897435897 \tabularnewline
V(Y[t],d=3,D=1) & 0.861614949494942 & Range & 3.58999999999995 & Trim Var. & 0.581899999999996 \tabularnewline
V(Y[t],d=0,D=2) & 0.660202857142861 & Range & 4.06000000000002 & Trim Var. & 0.306875705645162 \tabularnewline
V(Y[t],d=1,D=2) & 0.332758487394956 & Range & 2.48000000000000 & Trim Var. & 0.193737849462364 \tabularnewline
V(Y[t],d=2,D=2) & 0.85661283422459 & Range & 3.75999999999996 & Trim Var. & 0.590302988505741 \tabularnewline
V(Y[t],d=3,D=2) & 2.82919431818179 & Range & 6.08999999999995 & Trim Var. & 2.10618103448275 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6267&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]7.8368163559322[/C][C]Range[/C][C]10.43[/C][C]Trim Var.[/C][C]5.86785174703005[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.0649532437171244[/C][C]Range[/C][C]1.11999999999999[/C][C]Trim Var.[/C][C]0.0411760180995475[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]0.128390078644888[/C][C]Range[/C][C]1.55000000000001[/C][C]Trim Var.[/C][C]0.0908112745098032[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]0.395924498746865[/C][C]Range[/C][C]2.75000000000003[/C][C]Trim Var.[/C][C]0.279045176470589[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]0.341854609929080[/C][C]Range[/C][C]2.44000000000001[/C][C]Trim Var.[/C][C]0.201339198606272[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]0.115939592969472[/C][C]Range[/C][C]1.74999999999999[/C][C]Trim Var.[/C][C]0.0535066666666671[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]0.265121014492752[/C][C]Range[/C][C]2.04000000000001[/C][C]Trim Var.[/C][C]0.160245897435897[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]0.861614949494942[/C][C]Range[/C][C]3.58999999999995[/C][C]Trim Var.[/C][C]0.581899999999996[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]0.660202857142861[/C][C]Range[/C][C]4.06000000000002[/C][C]Trim Var.[/C][C]0.306875705645162[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]0.332758487394956[/C][C]Range[/C][C]2.48000000000000[/C][C]Trim Var.[/C][C]0.193737849462364[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]0.85661283422459[/C][C]Range[/C][C]3.75999999999996[/C][C]Trim Var.[/C][C]0.590302988505741[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]2.82919431818179[/C][C]Range[/C][C]6.08999999999995[/C][C]Trim Var.[/C][C]2.10618103448275[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6267&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6267&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Variance Reduction Matrix
V(Y[t],d=0,D=0)7.8368163559322Range10.43Trim Var.5.86785174703005
V(Y[t],d=1,D=0)0.0649532437171244Range1.11999999999999Trim Var.0.0411760180995475
V(Y[t],d=2,D=0)0.128390078644888Range1.55000000000001Trim Var.0.0908112745098032
V(Y[t],d=3,D=0)0.395924498746865Range2.75000000000003Trim Var.0.279045176470589
V(Y[t],d=0,D=1)0.341854609929080Range2.44000000000001Trim Var.0.201339198606272
V(Y[t],d=1,D=1)0.115939592969472Range1.74999999999999Trim Var.0.0535066666666671
V(Y[t],d=2,D=1)0.265121014492752Range2.04000000000001Trim Var.0.160245897435897
V(Y[t],d=3,D=1)0.861614949494942Range3.58999999999995Trim Var.0.581899999999996
V(Y[t],d=0,D=2)0.660202857142861Range4.06000000000002Trim Var.0.306875705645162
V(Y[t],d=1,D=2)0.332758487394956Range2.48000000000000Trim Var.0.193737849462364
V(Y[t],d=2,D=2)0.85661283422459Range3.75999999999996Trim Var.0.590302988505741
V(Y[t],d=3,D=2)2.82919431818179Range6.08999999999995Trim Var.2.10618103448275



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')