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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, 15 Dec 2007 05:45:59 -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/Dec/15/t11977218113jv9mdf87k5r7mh.htm/, Retrieved Thu, 02 May 2024 17:02:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=4030, Retrieved Thu, 02 May 2024 17:02:36 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact267

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] [variance reductio...] [2007-12-15 12:45:59] [c5caf8a1e3802eaf41184f28719e74c9] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
112.61
113.4
115.18
121.01
119.44
116.68
117.07
117.41
119.58
120.92
117.09
116.77
119.39
122.49
124.08
118.29
112.94
113.79
114.43
118.7
120.36
118.27
118.34
117.82
117.65
118.18
121.02
124.78
131.16
130.14
131.75
134.73
135.35
140.32
136.35
131.6
128.9
133.89
138.25
146.23
144.76
149.3
156.8
159.08
165.12
163.14
153.43
151.01
154.72
154.58
155.63
161.67
163.51
162.91
164.80
164.98
154.54
148.60
149.19
150.61

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 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=4030&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]2 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=4030&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4030&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 time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Variance Reduction Matrix
V(Y[t],d=0,D=0)312.036326666667Range52.51Trim Var.268.061620719776
V(Y[t],d=1,D=0)14.4308279953244Range18.42Trim Var.8.24265297532656
V(Y[t],d=2,D=0)20.5190781911675Range18.3099999999999Trim Var.14.3410118778280
V(Y[t],d=3,D=0)49.5871776942355Range28.75Trim Var.31.9260016470588
V(Y[t],d=0,D=1)118.259072163121Range44.31Trim Var.82.6930868757259
V(Y[t],d=1,D=1)30.4144813135985Range28.21Trim Var.14.9211928048780
V(Y[t],d=2,D=1)53.9443780193236Range28.6399999999999Trim Var.34.4304896794871
V(Y[t],d=3,D=1)142.764743636363Range47.6199999999999Trim Var.89.2210462887987
V(Y[t],d=0,D=2)273.795979285714Range65.07Trim Var.165.792080241935
V(Y[t],d=1,D=2)92.2924373109243Range43.07Trim Var.52.3852703225807
V(Y[t],d=2,D=2)179.395762299465Range48.8700000000001Trim Var.125.983908505747
V(Y[t],d=3,D=2)486.807915340909Range84.57Trim Var.332.424735221674

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 312.036326666667 & Range & 52.51 & Trim Var. & 268.061620719776 \tabularnewline
V(Y[t],d=1,D=0) & 14.4308279953244 & Range & 18.42 & Trim Var. & 8.24265297532656 \tabularnewline
V(Y[t],d=2,D=0) & 20.5190781911675 & Range & 18.3099999999999 & Trim Var. & 14.3410118778280 \tabularnewline
V(Y[t],d=3,D=0) & 49.5871776942355 & Range & 28.75 & Trim Var. & 31.9260016470588 \tabularnewline
V(Y[t],d=0,D=1) & 118.259072163121 & Range & 44.31 & Trim Var. & 82.6930868757259 \tabularnewline
V(Y[t],d=1,D=1) & 30.4144813135985 & Range & 28.21 & Trim Var. & 14.9211928048780 \tabularnewline
V(Y[t],d=2,D=1) & 53.9443780193236 & Range & 28.6399999999999 & Trim Var. & 34.4304896794871 \tabularnewline
V(Y[t],d=3,D=1) & 142.764743636363 & Range & 47.6199999999999 & Trim Var. & 89.2210462887987 \tabularnewline
V(Y[t],d=0,D=2) & 273.795979285714 & Range & 65.07 & Trim Var. & 165.792080241935 \tabularnewline
V(Y[t],d=1,D=2) & 92.2924373109243 & Range & 43.07 & Trim Var. & 52.3852703225807 \tabularnewline
V(Y[t],d=2,D=2) & 179.395762299465 & Range & 48.8700000000001 & Trim Var. & 125.983908505747 \tabularnewline
V(Y[t],d=3,D=2) & 486.807915340909 & Range & 84.57 & Trim Var. & 332.424735221674 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4030&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]312.036326666667[/C][C]Range[/C][C]52.51[/C][C]Trim Var.[/C][C]268.061620719776[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]14.4308279953244[/C][C]Range[/C][C]18.42[/C][C]Trim Var.[/C][C]8.24265297532656[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]20.5190781911675[/C][C]Range[/C][C]18.3099999999999[/C][C]Trim Var.[/C][C]14.3410118778280[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]49.5871776942355[/C][C]Range[/C][C]28.75[/C][C]Trim Var.[/C][C]31.9260016470588[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]118.259072163121[/C][C]Range[/C][C]44.31[/C][C]Trim Var.[/C][C]82.6930868757259[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]30.4144813135985[/C][C]Range[/C][C]28.21[/C][C]Trim Var.[/C][C]14.9211928048780[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]53.9443780193236[/C][C]Range[/C][C]28.6399999999999[/C][C]Trim Var.[/C][C]34.4304896794871[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]142.764743636363[/C][C]Range[/C][C]47.6199999999999[/C][C]Trim Var.[/C][C]89.2210462887987[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]273.795979285714[/C][C]Range[/C][C]65.07[/C][C]Trim Var.[/C][C]165.792080241935[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]92.2924373109243[/C][C]Range[/C][C]43.07[/C][C]Trim Var.[/C][C]52.3852703225807[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]179.395762299465[/C][C]Range[/C][C]48.8700000000001[/C][C]Trim Var.[/C][C]125.983908505747[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]486.807915340909[/C][C]Range[/C][C]84.57[/C][C]Trim Var.[/C][C]332.424735221674[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4030&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4030&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)312.036326666667Range52.51Trim Var.268.061620719776
V(Y[t],d=1,D=0)14.4308279953244Range18.42Trim Var.8.24265297532656
V(Y[t],d=2,D=0)20.5190781911675Range18.3099999999999Trim Var.14.3410118778280
V(Y[t],d=3,D=0)49.5871776942355Range28.75Trim Var.31.9260016470588
V(Y[t],d=0,D=1)118.259072163121Range44.31Trim Var.82.6930868757259
V(Y[t],d=1,D=1)30.4144813135985Range28.21Trim Var.14.9211928048780
V(Y[t],d=2,D=1)53.9443780193236Range28.6399999999999Trim Var.34.4304896794871
V(Y[t],d=3,D=1)142.764743636363Range47.6199999999999Trim Var.89.2210462887987
V(Y[t],d=0,D=2)273.795979285714Range65.07Trim Var.165.792080241935
V(Y[t],d=1,D=2)92.2924373109243Range43.07Trim Var.52.3852703225807
V(Y[t],d=2,D=2)179.395762299465Range48.8700000000001Trim Var.125.983908505747
V(Y[t],d=3,D=2)486.807915340909Range84.57Trim Var.332.424735221674


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')