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*The author of this computation has been verified*
R Software Module: /rwasp_variancereduction.wasp (opens new window with default values)
Title produced by software: Variance Reduction Matrix
Date of computation: Fri, 04 Dec 2009 13:51:28 -0700
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2009/Dec/04/t1259959921ikdcw5sfbagdmds.htm/, Retrieved Fri, 04 Dec 2009 21:52:01 +0100
 
BibTeX entries for LaTeX users:
@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2009/Dec/04/t1259959921ikdcw5sfbagdmds.htm/},
    year = {2009},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2009},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}
 
Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
627 696 825 677 656 785 412 352 839 729 696 641 695 638 762 635 721 854 418 367 824 687 601 676 740 691 683 594 729 731 386 331 707 715 657 653 642 643 718 654 632 731 392 344 792 852 649 629 685 617 715 715 629 916 531 357 917 828 708 858
 
Output produced by software:


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)20966.6056497175Range586Trim Var.14383.7386443047
V(Y[t],d=1,D=0)39285.9409701929Range996Trim Var.20044.2931785196
V(Y[t],d=2,D=0)97958.9452510587Range1406Trim Var.63876.5082956259
V(Y[t],d=3,D=0)270647.327067669Range2337Trim Var.166790.763137255
V(Y[t],d=0,D=1)5587.22296099291Range352Trim Var.2969.69802555168
V(Y[t],d=1,D=1)7716.03237742831Range345Trim Var.5051.38048780488
V(Y[t],d=2,D=1)19144.1178743961Range515Trim Var.13219.2717948718
V(Y[t],d=3,D=1)58170.1434343434Range992Trim Var.35802.8839406208
V(Y[t],d=0,D=2)11360.9928571429Range445Trim Var.7503.99899193548
V(Y[t],d=1,D=2)17310.3983193277Range437Trim Var.13295.4516129032
V(Y[t],d=2,D=2)40474.8021390374Range747Trim Var.26891.0298850575
V(Y[t],d=3,D=2)115287.926136364Range1417Trim Var.73861.1477832512
 
Charts produced by software:
 
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) & smyx<quantile(smyx,0.95)]))
a<-table.row.end(a)
}
}
a<-table.end(a)
table.save(a,file='mytable.tab')
 





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