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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 computationTue, 24 Nov 2009 07:28:04 -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/2009/Nov/24/t1259073522fy2vyvg28qtdmur.htm/, Retrieved Thu, 18 Apr 2024 09:06:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=59090, Retrieved Thu, 18 Apr 2024 09:06:14 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact187
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       [Variance Reduction Matrix] [Identifying Integ...] [2009-11-22 12:29:54] [b98453cac15ba1066b407e146608df68]
-    D          [Variance Reduction Matrix] [] [2009-11-24 14:28:04] [0f1f1142419956a95ff6f880845f2408] [Current]
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Dataseries X:
115.47
103.34
102.6
100.69
105.67
123.61
113.08
106.46
123.38
109.87
95.74
123.06
123.39
120.28
115.33
110.4
114.49
132.03
123.16
118.82
128.32
112.24
104.53
132.57
122.52
131.8
124.55
120.96
122.6
145.52
118.57
134.25
136.7
121.37
111.63
134.42
137.65
137.86
119.77
130.69
128.28
147.45
128.42
136.9
143.95
135.64
122.48
136.83
153.04
142.71
123.46
144.37
146.15
147.61
158.51
147.4
165.05
154.64
126.2
157.36
154.15
123.21
113.07
110.45
113.57
122.44
114.93
111.85
126.04
121.34




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59090&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=59090&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59090&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 computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Variance Reduction Matrix
V(Y[t],d=0,D=0)239.569981138716Range69.31Trim Var.156.627833104178
V(Y[t],d=1,D=0)193.995648891731Range62.1Trim Var.121.670984480874
V(Y[t],d=2,D=0)514.780994973661Range109.47Trim Var.325.561503276836
V(Y[t],d=3,D=0)1553.96479769335Range186.47Trim Var.971.454416423145
V(Y[t],d=0,D=1)259.867838112523Range73.67Trim Var.155.864285822021
V(Y[t],d=1,D=1)120.647479135338Range53.46Trim Var.76.1258303529412
V(Y[t],d=2,D=1)379.808110097403Range97.16Trim Var.230.782241836735
V(Y[t],d=3,D=1)1306.16149057239Range176.87Trim Var.774.405929081633
V(Y[t],d=0,D=2)452.307401014493Range93.91Trim Var.233.324153782051
V(Y[t],d=1,D=2)274.982685555555Range75.96Trim Var.146.133788798920
V(Y[t],d=2,D=2)901.884441014799Range149.42Trim Var.500.23473485064
V(Y[t],d=3,D=2)3159.55333853820Range267.060000000000Trim Var.1733.24679564565

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 239.569981138716 & Range & 69.31 & Trim Var. & 156.627833104178 \tabularnewline
V(Y[t],d=1,D=0) & 193.995648891731 & Range & 62.1 & Trim Var. & 121.670984480874 \tabularnewline
V(Y[t],d=2,D=0) & 514.780994973661 & Range & 109.47 & Trim Var. & 325.561503276836 \tabularnewline
V(Y[t],d=3,D=0) & 1553.96479769335 & Range & 186.47 & Trim Var. & 971.454416423145 \tabularnewline
V(Y[t],d=0,D=1) & 259.867838112523 & Range & 73.67 & Trim Var. & 155.864285822021 \tabularnewline
V(Y[t],d=1,D=1) & 120.647479135338 & Range & 53.46 & Trim Var. & 76.1258303529412 \tabularnewline
V(Y[t],d=2,D=1) & 379.808110097403 & Range & 97.16 & Trim Var. & 230.782241836735 \tabularnewline
V(Y[t],d=3,D=1) & 1306.16149057239 & Range & 176.87 & Trim Var. & 774.405929081633 \tabularnewline
V(Y[t],d=0,D=2) & 452.307401014493 & Range & 93.91 & Trim Var. & 233.324153782051 \tabularnewline
V(Y[t],d=1,D=2) & 274.982685555555 & Range & 75.96 & Trim Var. & 146.133788798920 \tabularnewline
V(Y[t],d=2,D=2) & 901.884441014799 & Range & 149.42 & Trim Var. & 500.23473485064 \tabularnewline
V(Y[t],d=3,D=2) & 3159.55333853820 & Range & 267.060000000000 & Trim Var. & 1733.24679564565 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59090&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]239.569981138716[/C][C]Range[/C][C]69.31[/C][C]Trim Var.[/C][C]156.627833104178[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]193.995648891731[/C][C]Range[/C][C]62.1[/C][C]Trim Var.[/C][C]121.670984480874[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]514.780994973661[/C][C]Range[/C][C]109.47[/C][C]Trim Var.[/C][C]325.561503276836[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]1553.96479769335[/C][C]Range[/C][C]186.47[/C][C]Trim Var.[/C][C]971.454416423145[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]259.867838112523[/C][C]Range[/C][C]73.67[/C][C]Trim Var.[/C][C]155.864285822021[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]120.647479135338[/C][C]Range[/C][C]53.46[/C][C]Trim Var.[/C][C]76.1258303529412[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]379.808110097403[/C][C]Range[/C][C]97.16[/C][C]Trim Var.[/C][C]230.782241836735[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]1306.16149057239[/C][C]Range[/C][C]176.87[/C][C]Trim Var.[/C][C]774.405929081633[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]452.307401014493[/C][C]Range[/C][C]93.91[/C][C]Trim Var.[/C][C]233.324153782051[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]274.982685555555[/C][C]Range[/C][C]75.96[/C][C]Trim Var.[/C][C]146.133788798920[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]901.884441014799[/C][C]Range[/C][C]149.42[/C][C]Trim Var.[/C][C]500.23473485064[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]3159.55333853820[/C][C]Range[/C][C]267.060000000000[/C][C]Trim Var.[/C][C]1733.24679564565[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=59090&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59090&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)239.569981138716Range69.31Trim Var.156.627833104178
V(Y[t],d=1,D=0)193.995648891731Range62.1Trim Var.121.670984480874
V(Y[t],d=2,D=0)514.780994973661Range109.47Trim Var.325.561503276836
V(Y[t],d=3,D=0)1553.96479769335Range186.47Trim Var.971.454416423145
V(Y[t],d=0,D=1)259.867838112523Range73.67Trim Var.155.864285822021
V(Y[t],d=1,D=1)120.647479135338Range53.46Trim Var.76.1258303529412
V(Y[t],d=2,D=1)379.808110097403Range97.16Trim Var.230.782241836735
V(Y[t],d=3,D=1)1306.16149057239Range176.87Trim Var.774.405929081633
V(Y[t],d=0,D=2)452.307401014493Range93.91Trim Var.233.324153782051
V(Y[t],d=1,D=2)274.982685555555Range75.96Trim Var.146.133788798920
V(Y[t],d=2,D=2)901.884441014799Range149.42Trim Var.500.23473485064
V(Y[t],d=3,D=2)3159.55333853820Range267.060000000000Trim Var.1733.24679564565



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')