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workshop: ARMA: Q1 Variabce Reduction Function

R Software Module: rwasp_variancereduction.wasp (opens new window with default values)
Title produced by software: Variance Reduction Matrix
Date of computation: Thu, 06 Dec 2007 05:43:28 -0700
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2007/Dec/06/t11969446581cgeqoaktl84eu8.htm/, Retrieved Thu, 06 Dec 2007 13:37:38 +0100
 
User-defined keywords:
d=2; D=0
 
Dataseries X:
» Textbox « » Textfile « » CSV «
3006501 2996226 2981546 3014153 3067899 3085284 3088962 3046304 2998326 2953136 2943706 2926544 2911266 2923566 2970220 3022600 3093777 3095603 3060724 3059766 3070537 3080295 3126271 3059614 3016191 3006516 2962545 2883986 2821467 2824296 2834445 2813169 2786891 2716042 2669704 2609221
 
Text written by user:
 
Output produced by software:


Summary of compuational 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)16353240831.7230Range517050Trim Var.10196953051.8548
V(Y[t],d=1,D=0)1501719652.30252Range149736Trim Var.1064631372.96989
V(Y[t],d=2,D=0)1329295396.09269Range177981Trim Var.687120777.964368
V(Y[t],d=3,D=0)2949002024.63258Range284718Trim Var.1463625214.49507
V(Y[t],d=0,D=1)35433111694.3406Range639132Trim Var.22319718325.7342
V(Y[t],d=1,D=1)3559955887.05534Range195030Trim Var.2179768965.26316
V(Y[t],d=2,D=1)3133173083.11905Range239600Trim Var.1289818307.97712
V(Y[t],d=3,D=1)5718431238.09048Range246827Trim Var.3539731654.76471
V(Y[t],d=0,D=2)70856115275.4242Range839292Trim Var.47341253719.3778
V(Y[t],d=1,D=2)7838526097.07273Range235544Trim Var.5911126816.36111
V(Y[t],d=2,D=2)12064748063.6556Range348992Trim Var.6684961214.69643
V(Y[t],d=3,D=2)18055429274.8611Range428180Trim Var.8327058476.61905
 
Charts produced by software:
 
Parameters:
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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Software written by Ed van Stee & Patrick Wessa


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