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VRM

*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: Tue, 14 Dec 2010 13:20:36 +0000
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Dec/14/t12923327371vl27rlli6w791j.htm/, Retrieved Tue, 14 Dec 2010 14:18:57 +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/2010/Dec/14/t12923327371vl27rlli6w791j.htm/},
    year = {2010},
}
@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 = {2010},
    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 «
630 583 678 552 619 679 392 307 754 690 644 643 608 651 691 627 634 703 475 337 803 722 590 724 627 696 825 675 641 784 412 352 839 729 969 634 694 638 762 635 721 854 418 367 824 687 601 676 740 690 683 594 729 732 653 330 707 716 657 653 642 643 719 652 634 727 388 344 792 851 649 629 682 616 716 715 628 916 530 357 917 829 708 858
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ 72.249.76.132


Variance Reduction Matrix
V(Y[t],d=0,D=0)20018.4251290878Range662Trim Var.11356.9944465013
V(Y[t],d=1,D=0)38077.0937408169Range996Trim Var.17214.2732115677
V(Y[t],d=2,D=0)100136.144685336Range1407Trim Var.59474.8777386541
V(Y[t],d=3,D=0)293951.369444444Range2351Trim Var.173886.209255533
V(Y[t],d=0,D=1)10120.0373630673Range747Trim Var.3181.57316468254
V(Y[t],d=1,D=1)20555.9094567404Range879Trim Var.7416.1233998976
V(Y[t],d=2,D=1)62796.6749482402Range1577Trim Var.24285.7958751983
V(Y[t],d=3,D=1)215055.212276215Range2709Trim Var.83619.880874317
V(Y[t],d=0,D=2)32716.5355932203Range1180Trim Var.10319.1572327044
V(Y[t],d=1,D=2)70633.348918761Range1577Trim Var.30339.7474600871
V(Y[t],d=2,D=2)215328.287961283Range2639Trim Var.94934.701357466
V(Y[t],d=3,D=2)738751.14849624Range4886Trim Var.339818.000784314
 
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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