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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 computationThu, 26 Nov 2009 07:03:56 -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/26/t1259244296a0n7kfjr1yqvtlv.htm/, Retrieved Mon, 26 Feb 2024 04:32:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=60030, Retrieved Mon, 26 Feb 2024 04:32:02 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact135
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] [Workshop 8] [2009-11-24 12:00:38] [214e6e00abbde49700521a7ef1d30da2]
-    D            [Variance Reduction Matrix] [WS 8.4] [2009-11-26 14:03:56] [51118f1042b56b16d340924f16263174] [Current]
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Dataseries X:
1076,7
1035,9
1037
1154
1237,2
996,6
1238,2
1153,4
1268,1
1156
1144,5
1232,9
1055,2
1109,7
1079,8
1126,3
1196,8
1130,4
1183,6
1200,9
1426,6
1080,4
1325,4
1230
1125,9
1174,5
1151,9
1439,3
1344,3
1319,1
1257,6
1249,1
1397,1
1348
1548,2
1377,6
1402,9
1167,6
1392,9
1547
1420
1266,4
1280,8
1128,6
1449,5
1511,7
1548,3
1652
1650,5
1370,8
1653,3
1474,3
1418,8
1554,1
1156,6
1223,4
1337,5
1098,9
1037,6
1202,5




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=60030&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]0 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=60030&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60030&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 time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Variance Reduction Matrix
V(Y[t],d=0,D=0)29355.8447344633Range656.7Trim Var.20991.9798916841
V(Y[t],d=1,D=0)25170.0832554062Range718.4Trim Var.16103.8199637155
V(Y[t],d=2,D=0)74650.5460405324Range1163.1Trim Var.49674.9522888386
V(Y[t],d=3,D=0)252591.811190476Range2186.8Trim Var.170454.542031373
V(Y[t],d=0,D=1)31851.1961524823Range823.7Trim Var.12801.5053948897
V(Y[t],d=1,D=1)30372.2306105458Range709Trim Var.19537.8967804878
V(Y[t],d=2,D=1)93017.793589372Range1331.7Trim Var.61477.9026602564
V(Y[t],d=3,D=1)321583.639767677Range2388.4Trim Var.209474.133616734
V(Y[t],d=0,D=2)58230.1164444444Range1067.1Trim Var.31326.3208770161
V(Y[t],d=1,D=2)66402.0261680672Range1019Trim Var.46283.0159569893
V(Y[t],d=2,D=2)207586.921434938Range1755.6Trim Var.141267.801160920
V(Y[t],d=3,D=2)730145.282518939Range3348.5Trim Var.492659.056133005

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 29355.8447344633 & Range & 656.7 & Trim Var. & 20991.9798916841 \tabularnewline
V(Y[t],d=1,D=0) & 25170.0832554062 & Range & 718.4 & Trim Var. & 16103.8199637155 \tabularnewline
V(Y[t],d=2,D=0) & 74650.5460405324 & Range & 1163.1 & Trim Var. & 49674.9522888386 \tabularnewline
V(Y[t],d=3,D=0) & 252591.811190476 & Range & 2186.8 & Trim Var. & 170454.542031373 \tabularnewline
V(Y[t],d=0,D=1) & 31851.1961524823 & Range & 823.7 & Trim Var. & 12801.5053948897 \tabularnewline
V(Y[t],d=1,D=1) & 30372.2306105458 & Range & 709 & Trim Var. & 19537.8967804878 \tabularnewline
V(Y[t],d=2,D=1) & 93017.793589372 & Range & 1331.7 & Trim Var. & 61477.9026602564 \tabularnewline
V(Y[t],d=3,D=1) & 321583.639767677 & Range & 2388.4 & Trim Var. & 209474.133616734 \tabularnewline
V(Y[t],d=0,D=2) & 58230.1164444444 & Range & 1067.1 & Trim Var. & 31326.3208770161 \tabularnewline
V(Y[t],d=1,D=2) & 66402.0261680672 & Range & 1019 & Trim Var. & 46283.0159569893 \tabularnewline
V(Y[t],d=2,D=2) & 207586.921434938 & Range & 1755.6 & Trim Var. & 141267.801160920 \tabularnewline
V(Y[t],d=3,D=2) & 730145.282518939 & Range & 3348.5 & Trim Var. & 492659.056133005 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=60030&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]29355.8447344633[/C][C]Range[/C][C]656.7[/C][C]Trim Var.[/C][C]20991.9798916841[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]25170.0832554062[/C][C]Range[/C][C]718.4[/C][C]Trim Var.[/C][C]16103.8199637155[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]74650.5460405324[/C][C]Range[/C][C]1163.1[/C][C]Trim Var.[/C][C]49674.9522888386[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]252591.811190476[/C][C]Range[/C][C]2186.8[/C][C]Trim Var.[/C][C]170454.542031373[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]31851.1961524823[/C][C]Range[/C][C]823.7[/C][C]Trim Var.[/C][C]12801.5053948897[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]30372.2306105458[/C][C]Range[/C][C]709[/C][C]Trim Var.[/C][C]19537.8967804878[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]93017.793589372[/C][C]Range[/C][C]1331.7[/C][C]Trim Var.[/C][C]61477.9026602564[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]321583.639767677[/C][C]Range[/C][C]2388.4[/C][C]Trim Var.[/C][C]209474.133616734[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]58230.1164444444[/C][C]Range[/C][C]1067.1[/C][C]Trim Var.[/C][C]31326.3208770161[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]66402.0261680672[/C][C]Range[/C][C]1019[/C][C]Trim Var.[/C][C]46283.0159569893[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]207586.921434938[/C][C]Range[/C][C]1755.6[/C][C]Trim Var.[/C][C]141267.801160920[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]730145.282518939[/C][C]Range[/C][C]3348.5[/C][C]Trim Var.[/C][C]492659.056133005[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=60030&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60030&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)29355.8447344633Range656.7Trim Var.20991.9798916841
V(Y[t],d=1,D=0)25170.0832554062Range718.4Trim Var.16103.8199637155
V(Y[t],d=2,D=0)74650.5460405324Range1163.1Trim Var.49674.9522888386
V(Y[t],d=3,D=0)252591.811190476Range2186.8Trim Var.170454.542031373
V(Y[t],d=0,D=1)31851.1961524823Range823.7Trim Var.12801.5053948897
V(Y[t],d=1,D=1)30372.2306105458Range709Trim Var.19537.8967804878
V(Y[t],d=2,D=1)93017.793589372Range1331.7Trim Var.61477.9026602564
V(Y[t],d=3,D=1)321583.639767677Range2388.4Trim Var.209474.133616734
V(Y[t],d=0,D=2)58230.1164444444Range1067.1Trim Var.31326.3208770161
V(Y[t],d=1,D=2)66402.0261680672Range1019Trim Var.46283.0159569893
V(Y[t],d=2,D=2)207586.921434938Range1755.6Trim Var.141267.801160920
V(Y[t],d=3,D=2)730145.282518939Range3348.5Trim Var.492659.056133005



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')