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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 computationMon, 27 Dec 2010 20:53:01 +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/27/t1293483029tpiocxtlczosdcq.htm/, Retrieved Wed, 15 Jan 2025 06:58:56 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116135, Retrieved Wed, 15 Jan 2025 06:58:56 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact191

Tree of Dependent Computations

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]
- R  D        [Variance Reduction Matrix] [Bestedingen consu...] [2009-11-24 15:46:16] [54d83950395cfb8ca1091bdb7440f70a]
- R  D            [Variance Reduction Matrix] [] [2010-12-27 20:53:01] [4afc4ea409ad669ec2851bc39795365d] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
597141
593408
590072
579799
574205
572775
572942
619567
625809
619916
587625
565742
557274
560576
548854
531673
525919
511038
498662
555362
564591
541657
527070
509846
514258
516922
507561
492622
490243
469357
477580
528379
533590
517945
506174
501866
516141
528222
532638
536322
536535
523597
536214
586570
596594
580523
564478
557560
575093
580112
574761
563250
551531
537034
544686
600991
604378
586111
563668
548604

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'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=116135&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=116135&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116135&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'Gwilym Jenkins' @ 72.249.127.135






Variance Reduction Matrix
V(Y[t],d=0,D=0)1343982730.91836Range156452Trim Var.915134038.332984
V(Y[t],d=1,D=0)380397334.365868Range88991Trim Var.206206232.423077
V(Y[t],d=2,D=0)567016324.901694Range121994Trim Var.311300623.147436
V(Y[t],d=3,D=0)1285378540.0401Range183118Trim Var.622629510.374902
V(Y[t],d=0,D=1)1900140878.92021Range141263Trim Var.1520830453.34959
V(Y[t],d=1,D=1)81677109.1350601Range37640Trim Var.49531455.4609756
V(Y[t],d=2,D=1)130716340.955072Range61245Trim Var.52996179.999359
V(Y[t],d=3,D=1)402691978.588889Range107877Trim Var.174197765.515520
V(Y[t],d=0,D=2)2546551531.49206Range160571Trim Var.2070548147.38306
V(Y[t],d=1,D=2)192357793.675630Range66960Trim Var.104582192.655914
V(Y[t],d=2,D=2)320337392.7959Range80453Trim Var.170385975.098851
V(Y[t],d=3,D=2)1017628192.18939Range137177Trim Var.526424350.793103

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 1343982730.91836 & Range & 156452 & Trim Var. & 915134038.332984 \tabularnewline
V(Y[t],d=1,D=0) & 380397334.365868 & Range & 88991 & Trim Var. & 206206232.423077 \tabularnewline
V(Y[t],d=2,D=0) & 567016324.901694 & Range & 121994 & Trim Var. & 311300623.147436 \tabularnewline
V(Y[t],d=3,D=0) & 1285378540.0401 & Range & 183118 & Trim Var. & 622629510.374902 \tabularnewline
V(Y[t],d=0,D=1) & 1900140878.92021 & Range & 141263 & Trim Var. & 1520830453.34959 \tabularnewline
V(Y[t],d=1,D=1) & 81677109.1350601 & Range & 37640 & Trim Var. & 49531455.4609756 \tabularnewline
V(Y[t],d=2,D=1) & 130716340.955072 & Range & 61245 & Trim Var. & 52996179.999359 \tabularnewline
V(Y[t],d=3,D=1) & 402691978.588889 & Range & 107877 & Trim Var. & 174197765.515520 \tabularnewline
V(Y[t],d=0,D=2) & 2546551531.49206 & Range & 160571 & Trim Var. & 2070548147.38306 \tabularnewline
V(Y[t],d=1,D=2) & 192357793.675630 & Range & 66960 & Trim Var. & 104582192.655914 \tabularnewline
V(Y[t],d=2,D=2) & 320337392.7959 & Range & 80453 & Trim Var. & 170385975.098851 \tabularnewline
V(Y[t],d=3,D=2) & 1017628192.18939 & Range & 137177 & Trim Var. & 526424350.793103 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116135&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]1343982730.91836[/C][C]Range[/C][C]156452[/C][C]Trim Var.[/C][C]915134038.332984[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]380397334.365868[/C][C]Range[/C][C]88991[/C][C]Trim Var.[/C][C]206206232.423077[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]567016324.901694[/C][C]Range[/C][C]121994[/C][C]Trim Var.[/C][C]311300623.147436[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]1285378540.0401[/C][C]Range[/C][C]183118[/C][C]Trim Var.[/C][C]622629510.374902[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]1900140878.92021[/C][C]Range[/C][C]141263[/C][C]Trim Var.[/C][C]1520830453.34959[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]81677109.1350601[/C][C]Range[/C][C]37640[/C][C]Trim Var.[/C][C]49531455.4609756[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]130716340.955072[/C][C]Range[/C][C]61245[/C][C]Trim Var.[/C][C]52996179.999359[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]402691978.588889[/C][C]Range[/C][C]107877[/C][C]Trim Var.[/C][C]174197765.515520[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]2546551531.49206[/C][C]Range[/C][C]160571[/C][C]Trim Var.[/C][C]2070548147.38306[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]192357793.675630[/C][C]Range[/C][C]66960[/C][C]Trim Var.[/C][C]104582192.655914[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]320337392.7959[/C][C]Range[/C][C]80453[/C][C]Trim Var.[/C][C]170385975.098851[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]1017628192.18939[/C][C]Range[/C][C]137177[/C][C]Trim Var.[/C][C]526424350.793103[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116135&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116135&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)1343982730.91836Range156452Trim Var.915134038.332984
V(Y[t],d=1,D=0)380397334.365868Range88991Trim Var.206206232.423077
V(Y[t],d=2,D=0)567016324.901694Range121994Trim Var.311300623.147436
V(Y[t],d=3,D=0)1285378540.0401Range183118Trim Var.622629510.374902
V(Y[t],d=0,D=1)1900140878.92021Range141263Trim Var.1520830453.34959
V(Y[t],d=1,D=1)81677109.1350601Range37640Trim Var.49531455.4609756
V(Y[t],d=2,D=1)130716340.955072Range61245Trim Var.52996179.999359
V(Y[t],d=3,D=1)402691978.588889Range107877Trim Var.174197765.515520
V(Y[t],d=0,D=2)2546551531.49206Range160571Trim Var.2070548147.38306
V(Y[t],d=1,D=2)192357793.675630Range66960Trim Var.104582192.655914
V(Y[t],d=2,D=2)320337392.7959Range80453Trim Var.170385975.098851
V(Y[t],d=3,D=2)1017628192.18939Range137177Trim Var.526424350.793103


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(myx,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')
bitmap(file='pic0.png')
op <- par(mfrow=c(2,2))
plot(x,type='l',xlab='time',ylab='value',main='d=0, D=0')
plot(diff(x,lag=1,differences=1),type='l',xlab='time',ylab='value',main='d=1, D=0')
plot(diff(x,lag=par1,differences=1),type='l',xlab='time',ylab='value',main='d=0, D=1')
plot(diff(diff(x,lag=1,differences=1),lag=par1,differences=1),type='l',xlab='time',ylab='value',main='d=1, D=1')
par(op)
dev.off()