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Paper

*Unverified author*
R Software Module: /rwasp_variancereduction.wasp (opens new window with default values)
Title produced by software: Variance Reduction Matrix
Date of computation: Wed, 29 Dec 2010 15:42:45 +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/29/t1293637226wbezf2it5t6q7pr.htm/, Retrieved Wed, 29 Dec 2010 16:40:27 +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/29/t1293637226wbezf2it5t6q7pr.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 «
235243 230354 227184 221678 217142 219452 256446 265845 248624 241114 229245 231805 219277 219313 212610 214771 211142 211457 240048 240636 230580 208795 197922 194596 194581 185686 178106 172608 167302 168053 202300 202388 182516 173476 166444 171297 169701 164182 161914 159612 151001 158114 186530 187069 174330 169362 166827 178037 186413 189226 191563 188906 186005 195309 223532 226899 214126 206903 204442 220375 214320 212588 205816 202196 195722 198563 229139 229527 211868 203555 195770
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time9 seconds
R Server'George Udny Yule' @ 72.249.76.132


Variance Reduction Matrix
V(Y[t],d=0,D=0)676133379.707847Range114844Trim Var.462088957.880696
V(Y[t],d=1,D=0)144561108.526087Range58779Trim Var.66964025.7599154
V(Y[t],d=2,D=0)224807099.146206Range68843Trim Var.129217679.752459
V(Y[t],d=3,D=0)528703793.149034Range103986Trim Var.277896548.388701
V(Y[t],d=0,D=1)674739739.82934Range90402Trim Var.539003466.399855
V(Y[t],d=1,D=1)38141632.677556Range27176Trim Var.24431393.346908
V(Y[t],d=2,D=1)78062502.872807Range44005Trim Var.39673492.1937255
V(Y[t],d=3,D=1)262500993.012987Range76554Trim Var.147388062.471837
V(Y[t],d=0,D=2)1048778865.68455Range101436Trim Var.857759689.690244
V(Y[t],d=1,D=2)101688572.653623Range51423Trim Var.57306047.4608974
V(Y[t],d=2,D=2)214567960.588889Range72160Trim Var.117045312.045884
V(Y[t],d=3,D=2)710212019.134778Range137469Trim Var.366494218.167852
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Dec/29/t1293637226wbezf2it5t6q7pr/2layc1293637355.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/29/t1293637226wbezf2it5t6q7pr/2layc1293637355.ps (open in new window)


 
Parameters (Session):
par1 = 1 ; par2 = 1 ; par3 = 0 ; par4 = 12 ;
 
Parameters (R input):
par1 = 12 ; par2 = 1 ; par3 = 0 ; par4 = 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) & smyx<quantile(smyx,0.95)]))
a<-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()
 





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Creative Commons License

This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa


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