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Data:
58.1 60.3 66.7 63.7 71.7 68.8 61.8 68.7 69.7 76.4 73.8 70.2 67.8 64 73.4 67.8 74.8 73.3 72 76.1 73 80.5 76.1 71.3 71 67.9 74.4 73.6 74.3 73.1 74.5 73.7 76.3 82 73.7 77.2 74.1 70.7 74.9 77 73 76.1 77.9 74.2 78.7 84.4 74.5 78.7 72.9 71.3 84.3 78.8 76.3 84.9 77.3 78.9 84.6 83.6 82.5 85.4 76.2 72.4 83.2 80.3 81.1 86.1 76.1 84.3 88 85.3 88.4 87.9 79.8 75.5 87.7 79.8 88 89.2 83.3 89.1 89.3 94.4 92.2 87.8 88.2 81.5 94.3 88 91.9 94.1 89.8 94.3 93.5 104.8 100.7 94.3 99.4 93.4 95.8 102.9 99.2 98 102.1 95.6 104.9 108.8 97.3 102.5 91 90 100.2 99.5 94.2 103 99.9 95.4 101.8 103.4 98 101.5 88.1 90.6 105.7 99.5 94.5 105.5 97.8 99.3 103.5 104.1 105.5 105.7 97 95.3 110.3 102.3 109.8 103.9 96.2 105.7 111 108.6 109 107.6 102.3 102.1 110.7 101.5 108.9 110.9 103.9 110.2 106.7 118.2 111.4 104.9 105.3 96.7 106.6 105.7 109.4 105.1 111.6 103.6 106.5 114.4 105.1 105.4 100.8 96 105 108.2 105.8 108.9 107 101.9 112.6 115.6 105 110.6 100.8 98.2 111.2 109.9 103.6 115.7 110.6 105.6 113.1 117.5 112.4 114.1 101.9 106.3 118.1 113.7 115 119.4 107.1 115.1 117.6 115.2 117.4 117.3 106.6 105.2 121.3 108.1 119.8 121.2 109 115.9
Seasonal Period
12
12
1
2
3
4
6
12
Chart options
R Code
par1 <- as.numeric(par1) n.orig <- length(x) x <- na.omit(x) 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) if(n.orig!=n) { a<-table.row.start(a) a<-table.element(a,'Warning: NAs were removed from the time series! The results shown below will only be correct if the NAs are all located at the start and/or end of the time series.',6,F) 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,signif(var(myx), digits=6)) a<-table.element(a,'Range',header=TRUE) a<-table.element(a,signif(max(myx)-min(myx), digits=6)) a<-table.element(a,'Trim Var.',header=TRUE) smyx <- sort(myx) sn <- length(smyx) a<-table.element(a,signif(var(smyx[smyx>quantile(smyx,0.05) & smyx<quantile(smyx,0.95)]), digits=6)) 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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