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variantie reductie matrix

*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 04:07:09 -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/t1259924894pckg5krcpaxz2ql.htm/, Retrieved Fri, 04 Dec 2009 12:08:14 +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/t1259924894pckg5krcpaxz2ql.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 «
5594 5585 5710 5511 5403 5826 5884 5965 5960 6064 6046 5954 5952 5960 5983 5996 6021 6094 6202 6276 6306 6342 6345 6328 6191 6261 6253 6198 6247 6293 6381 6448 6470 6516 6532 6526 6533 6498 6507 6464 6453 6468 6497 6808 6793 6907 6792 6757 6734 6654 6589 6469 6521 6448 6410 6528 6445 6458 6215 6167
 
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'Gwilym Jenkins' @ 72.249.127.135


Variance Reduction Matrix
V(Y[t],d=0,D=0)112405.795480226Range1504Trim Var.72575.3895877009
V(Y[t],d=1,D=0)10151.5879602572Range666Trim Var.3539.29245283019
V(Y[t],d=2,D=0)20811.4522081065Range896Trim Var.8577.07390648567
V(Y[t],d=3,D=0)63745.4235588972Range1351Trim Var.31491.0431372549
V(Y[t],d=0,D=1)61517.8723404255Range1208Trim Var.24245.1684088269
V(Y[t],d=1,D=1)9651.23126734505Range594Trim Var.3535.6756097561
V(Y[t],d=2,D=1)23709.8763285024Range883Trim Var.8776.38717948718
V(Y[t],d=3,D=1)75452.7545454545Range1467Trim Var.38819.4831309042
V(Y[t],d=0,D=2)75342.2444444444Range1057Trim Var.46939.2540322581
V(Y[t],d=1,D=2)20777.4672268908Range760Trim Var.8595.32903225807
V(Y[t],d=2,D=2)52092.371657754Range878Trim Var.33953.5816091954
V(Y[t],d=3,D=2)172617.183712121Range1660Trim Var.110217.243842365
 
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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