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Description of Statistical Computation

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 computationSun, 12 Dec 2010 20:28:32 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/12/t1292185589e7ffoegr6k04tx0.htm/, Retrieved Tue, 07 May 2024 14:07:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=108668, Retrieved Tue, 07 May 2024 14:07:26 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact154

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Multiple Regression] [Multiple Regressi...] [2010-12-09 13:10:55] [d6a5e6c1b0014d57cedb2bdfb4a7099f]
- RMPD    [Variance Reduction Matrix] [Paper: VRM] [2010-12-12 20:28:32] [039869833c16fe697975601e6b065e0f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1038.00
934.00
988.00
870.00
854.00
834.00
872.00
954.00
870.00
1238.00
1082.00
1053.00
934.00
787.00
1081.00
908.00
995.00
825.00
822.00
856.00
887.00
1094.00
990.00
936.00
1097.00
918.00
926.00
907.00
899.00
971.00
1087.00
1000.00
1071.00
1190.00
1116.00
1070.00
1314.00
1068.00
1185.00
1215.00
1145.00
1251.00
1363.00
1368.00
1535.00
1853.00
1866.00
2023.00
1373.00
1968.00
1424.00
1160.00
1243.00
1375.00
1539.00
1773.00
1906.00
2076.00
2004.00

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108668&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108668&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108668&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 computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk






Variance Reduction Matrix
V(Y[t],d=0,D=0)122631.037405026Range1289Trim Var.86366.645137881
V(Y[t],d=1,D=0)37962.8965517241Range1245Trim Var.15218.5290346908
V(Y[t],d=2,D=0)108473.929197995Range2384Trim Var.38000.0807843137
V(Y[t],d=3,D=0)376452.124675325Range4436Trim Var.126775.624897959
V(Y[t],d=0,D=1)37962.8965517241Range1245Trim Var.15218.5290346908
V(Y[t],d=1,D=1)108473.929197995Range2384Trim Var.38000.0807843137
V(Y[t],d=2,D=1)376452.124675325Range4436Trim Var.126775.624897959
V(Y[t],d=3,D=1)1367478.6983165Range8239Trim Var.489419.038265306
V(Y[t],d=0,D=2)108473.929197995Range2384Trim Var.38000.0807843137
V(Y[t],d=1,D=2)376452.124675325Range4436Trim Var.126775.624897959
V(Y[t],d=2,D=2)1367478.6983165Range8239Trim Var.489419.038265306
V(Y[t],d=3,D=2)5069702.99126485Range15678Trim Var.1712769.27482269

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 122631.037405026 & Range & 1289 & Trim Var. & 86366.645137881 \tabularnewline
V(Y[t],d=1,D=0) & 37962.8965517241 & Range & 1245 & Trim Var. & 15218.5290346908 \tabularnewline
V(Y[t],d=2,D=0) & 108473.929197995 & Range & 2384 & Trim Var. & 38000.0807843137 \tabularnewline
V(Y[t],d=3,D=0) & 376452.124675325 & Range & 4436 & Trim Var. & 126775.624897959 \tabularnewline
V(Y[t],d=0,D=1) & 37962.8965517241 & Range & 1245 & Trim Var. & 15218.5290346908 \tabularnewline
V(Y[t],d=1,D=1) & 108473.929197995 & Range & 2384 & Trim Var. & 38000.0807843137 \tabularnewline
V(Y[t],d=2,D=1) & 376452.124675325 & Range & 4436 & Trim Var. & 126775.624897959 \tabularnewline
V(Y[t],d=3,D=1) & 1367478.6983165 & Range & 8239 & Trim Var. & 489419.038265306 \tabularnewline
V(Y[t],d=0,D=2) & 108473.929197995 & Range & 2384 & Trim Var. & 38000.0807843137 \tabularnewline
V(Y[t],d=1,D=2) & 376452.124675325 & Range & 4436 & Trim Var. & 126775.624897959 \tabularnewline
V(Y[t],d=2,D=2) & 1367478.6983165 & Range & 8239 & Trim Var. & 489419.038265306 \tabularnewline
V(Y[t],d=3,D=2) & 5069702.99126485 & Range & 15678 & Trim Var. & 1712769.27482269 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108668&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]122631.037405026[/C][C]Range[/C][C]1289[/C][C]Trim Var.[/C][C]86366.645137881[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]37962.8965517241[/C][C]Range[/C][C]1245[/C][C]Trim Var.[/C][C]15218.5290346908[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]108473.929197995[/C][C]Range[/C][C]2384[/C][C]Trim Var.[/C][C]38000.0807843137[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]376452.124675325[/C][C]Range[/C][C]4436[/C][C]Trim Var.[/C][C]126775.624897959[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]37962.8965517241[/C][C]Range[/C][C]1245[/C][C]Trim Var.[/C][C]15218.5290346908[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]108473.929197995[/C][C]Range[/C][C]2384[/C][C]Trim Var.[/C][C]38000.0807843137[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]376452.124675325[/C][C]Range[/C][C]4436[/C][C]Trim Var.[/C][C]126775.624897959[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]1367478.6983165[/C][C]Range[/C][C]8239[/C][C]Trim Var.[/C][C]489419.038265306[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]108473.929197995[/C][C]Range[/C][C]2384[/C][C]Trim Var.[/C][C]38000.0807843137[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]376452.124675325[/C][C]Range[/C][C]4436[/C][C]Trim Var.[/C][C]126775.624897959[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]1367478.6983165[/C][C]Range[/C][C]8239[/C][C]Trim Var.[/C][C]489419.038265306[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]5069702.99126485[/C][C]Range[/C][C]15678[/C][C]Trim Var.[/C][C]1712769.27482269[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108668&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108668&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)122631.037405026Range1289Trim Var.86366.645137881
V(Y[t],d=1,D=0)37962.8965517241Range1245Trim Var.15218.5290346908
V(Y[t],d=2,D=0)108473.929197995Range2384Trim Var.38000.0807843137
V(Y[t],d=3,D=0)376452.124675325Range4436Trim Var.126775.624897959
V(Y[t],d=0,D=1)37962.8965517241Range1245Trim Var.15218.5290346908
V(Y[t],d=1,D=1)108473.929197995Range2384Trim Var.38000.0807843137
V(Y[t],d=2,D=1)376452.124675325Range4436Trim Var.126775.624897959
V(Y[t],d=3,D=1)1367478.6983165Range8239Trim Var.489419.038265306
V(Y[t],d=0,D=2)108473.929197995Range2384Trim Var.38000.0807843137
V(Y[t],d=1,D=2)376452.124675325Range4436Trim Var.126775.624897959
V(Y[t],d=2,D=2)1367478.6983165Range8239Trim Var.489419.038265306
V(Y[t],d=3,D=2)5069702.99126485Range15678Trim Var.1712769.27482269


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ;
Parameters (R input):
par1 = 1 ;
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')