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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: Tue, 28 Dec 2010 08:16:14 +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/28/t1293524243its3cezpm6kclt5.htm/, Retrieved Tue, 28 Dec 2010 09:17:24 +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/28/t1293524243its3cezpm6kclt5.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 «
547.344 554.788 562.325 560.854 555.332 543.599 536.662 542.722 593.530 610.763 612.613 611.324 594.167 595.454 590.865 589.379 584.428 573.100 567.456 569.028 620.735 628.884 628.232 612.117 595.404 597.141 593.408 590.072 579.799 574.205 572.775 572.942 619.567 625.809 619.916 587.625 565.742 557.274 560.576 548.854 531.673 525.919 511.038 498.662 555.362 564.591 541.657 527.070 509.846 514.258 516.922 507.561 492.622 490.243 469.357 477.580 528.379 533.590 517.945 506.174 501.866 516.141 528.222 532.638 536.322 536.535 523.597 536.214 586.570 596.594 580.523 564.478 557.560 575.093 580.112 574.761 563.250 551.531 537.034 544.686 600.991 604.378 586.111 563.668 548.604
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


Variance Reduction Matrix
V(Y[t],d=0,D=0)1400.72047372913Range159.527Trim Var.924.987029972252
V(Y[t],d=1,D=0)351.11785313253Range88.991Trim Var.159.615813683080
V(Y[t],d=2,D=0)510.871951271819Range121.994Trim Var.241.500380612633
V(Y[t],d=3,D=0)1175.05501701536Range183.118Trim Var.480.47374166021
V(Y[t],d=0,D=1)1424.90923824772Range141.263Trim Var.1065.64893049135
V(Y[t],d=1,D=1)67.4066052235915Range37.6400000000000Trim Var.39.5151629166666
V(Y[t],d=2,D=1)106.211192356942Range61.2450000000001Trim Var.50.0450972570403
V(Y[t],d=3,D=1)334.266371575362Range107.877000000000Trim Var.166.272645314648
V(Y[t],d=0,D=2)2617.4206922765Range174.115Trim Var.2004.07575525544
V(Y[t],d=1,D=2)167.883231453108Range67.698Trim Var.95.0896401568834
V(Y[t],d=2,D=2)291.515976119813Range94.7980000000003Trim Var.158.721538791727
V(Y[t],d=3,D=2)934.181099072295Range137.188000000001Trim Var.522.529160519982
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Dec/28/t1293524243its3cezpm6kclt5/29qsk1293524171.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/28/t1293524243its3cezpm6kclt5/29qsk1293524171.ps (open in new window)


 
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(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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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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