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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 computationFri, 27 Nov 2009 05:23:15 -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/27/t125932463616rbbytchqjazup.htm/, Retrieved Mon, 26 Feb 2024 04:12:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=60634, Retrieved Mon, 26 Feb 2024 04:12:42 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsWorkshop 8 - VRM
Estimated Impact166
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]
- R  D            [Variance Reduction Matrix] [shw-ws8] [2009-11-27 12:23:15] [5b5bced41faf164488f2c271c918b21f] [Current]
-   P               [Variance Reduction Matrix] [VRM] [2009-12-29 15:30:26] [2663058f2a5dda519058ac6b2228468f]
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Dataseries X:
1178
2141
2238
2685
4341
5376
4478
6404
4617
3024
1897
2075
1351
2211
2453
3042
4765
4992
4601
6266
4812
3159
1916
2237
1595
2453
2226
3597
4706
4974
5756
5493
5004
3225
2006
2291
1588
2105
2191
3591
4668
4885
5822
5599
5340
3082
2010
2301
1514
1979
2480
3499
4676
5585
5610
5796
6199
3030
1930
2552




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=60634&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=60634&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60634&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)2398395.93531073Range5226Trim Var.1968809.75856045
V(Y[t],d=1,D=0)1173205.27761543Range5095Trim Var.770975.640058055
V(Y[t],d=2,D=0)1862223.26588022Range6537Trim Var.1043248.30015083
V(Y[t],d=3,D=0)5369844.31641604Range12178Trim Var.2939278.68078431
V(Y[t],d=0,D=1)95603.9078014184Range1928Trim Var.29906.2537746806
V(Y[t],d=1,D=1)264938.142460685Range3101Trim Var.96740.0951219512
V(Y[t],d=2,D=1)870788.428985507Range5994Trim Var.324295.532692308
V(Y[t],d=3,D=1)2993847.3Range10227Trim Var.1063492.14304993
V(Y[t],d=0,D=2)175632.675396825Range2121Trim Var.87825.6733870968
V(Y[t],d=1,D=2)456668.831932773Range3635Trim Var.233870.627956989
V(Y[t],d=2,D=2)1466057.09803922Range5689Trim Var.738987.729885057
V(Y[t],d=3,D=2)4954960.09090909Range10321Trim Var.2872645.02709360

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 2398395.93531073 & Range & 5226 & Trim Var. & 1968809.75856045 \tabularnewline
V(Y[t],d=1,D=0) & 1173205.27761543 & Range & 5095 & Trim Var. & 770975.640058055 \tabularnewline
V(Y[t],d=2,D=0) & 1862223.26588022 & Range & 6537 & Trim Var. & 1043248.30015083 \tabularnewline
V(Y[t],d=3,D=0) & 5369844.31641604 & Range & 12178 & Trim Var. & 2939278.68078431 \tabularnewline
V(Y[t],d=0,D=1) & 95603.9078014184 & Range & 1928 & Trim Var. & 29906.2537746806 \tabularnewline
V(Y[t],d=1,D=1) & 264938.142460685 & Range & 3101 & Trim Var. & 96740.0951219512 \tabularnewline
V(Y[t],d=2,D=1) & 870788.428985507 & Range & 5994 & Trim Var. & 324295.532692308 \tabularnewline
V(Y[t],d=3,D=1) & 2993847.3 & Range & 10227 & Trim Var. & 1063492.14304993 \tabularnewline
V(Y[t],d=0,D=2) & 175632.675396825 & Range & 2121 & Trim Var. & 87825.6733870968 \tabularnewline
V(Y[t],d=1,D=2) & 456668.831932773 & Range & 3635 & Trim Var. & 233870.627956989 \tabularnewline
V(Y[t],d=2,D=2) & 1466057.09803922 & Range & 5689 & Trim Var. & 738987.729885057 \tabularnewline
V(Y[t],d=3,D=2) & 4954960.09090909 & Range & 10321 & Trim Var. & 2872645.02709360 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=60634&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]2398395.93531073[/C][C]Range[/C][C]5226[/C][C]Trim Var.[/C][C]1968809.75856045[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]1173205.27761543[/C][C]Range[/C][C]5095[/C][C]Trim Var.[/C][C]770975.640058055[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]1862223.26588022[/C][C]Range[/C][C]6537[/C][C]Trim Var.[/C][C]1043248.30015083[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]5369844.31641604[/C][C]Range[/C][C]12178[/C][C]Trim Var.[/C][C]2939278.68078431[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]95603.9078014184[/C][C]Range[/C][C]1928[/C][C]Trim Var.[/C][C]29906.2537746806[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]264938.142460685[/C][C]Range[/C][C]3101[/C][C]Trim Var.[/C][C]96740.0951219512[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]870788.428985507[/C][C]Range[/C][C]5994[/C][C]Trim Var.[/C][C]324295.532692308[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]2993847.3[/C][C]Range[/C][C]10227[/C][C]Trim Var.[/C][C]1063492.14304993[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]175632.675396825[/C][C]Range[/C][C]2121[/C][C]Trim Var.[/C][C]87825.6733870968[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]456668.831932773[/C][C]Range[/C][C]3635[/C][C]Trim Var.[/C][C]233870.627956989[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]1466057.09803922[/C][C]Range[/C][C]5689[/C][C]Trim Var.[/C][C]738987.729885057[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]4954960.09090909[/C][C]Range[/C][C]10321[/C][C]Trim Var.[/C][C]2872645.02709360[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=60634&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60634&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)2398395.93531073Range5226Trim Var.1968809.75856045
V(Y[t],d=1,D=0)1173205.27761543Range5095Trim Var.770975.640058055
V(Y[t],d=2,D=0)1862223.26588022Range6537Trim Var.1043248.30015083
V(Y[t],d=3,D=0)5369844.31641604Range12178Trim Var.2939278.68078431
V(Y[t],d=0,D=1)95603.9078014184Range1928Trim Var.29906.2537746806
V(Y[t],d=1,D=1)264938.142460685Range3101Trim Var.96740.0951219512
V(Y[t],d=2,D=1)870788.428985507Range5994Trim Var.324295.532692308
V(Y[t],d=3,D=1)2993847.3Range10227Trim Var.1063492.14304993
V(Y[t],d=0,D=2)175632.675396825Range2121Trim Var.87825.6733870968
V(Y[t],d=1,D=2)456668.831932773Range3635Trim Var.233870.627956989
V(Y[t],d=2,D=2)1466057.09803922Range5689Trim Var.738987.729885057
V(Y[t],d=3,D=2)4954960.09090909Range10321Trim Var.2872645.02709360



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')