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Data:
78 100.1 113.2 93.1 115.4 103.3 45.1 104.7 111.3 111.5 100.9 82.1 85.4 97.7 106.6 92.6 109.2 110 52.5 105.3 102.3 118.5 100 74.4 89.2 91.9 107 103.6 101.8 105.1 55.5 92.1 109.8 112.7 98.5 70.3 84.5 91.1 107.6 102.2 96 107.3 59.9 90.2 116.3 115.6 92 76.5 87.9 95.8 116.9 102.9 95.8 117.3 52.8 100.1 116.3 111.8 98.5 86.2 79.9 92.3 100.5 112.5 101.1 121.5 49.6 104.8 120.4 108.3 105.2 85.7 86.8 95.1 117 100.1 112.3 119.6 51.8 105.5 119.9 115.4 112.8 85.1 96.2 103.6 119.9 103.7 109 119.6 57 109.2 112.6 126 109.7 80.1 105.8 114.1 98.3 125.3 111.6 119.7 65 99 124.5 119 98.8 81.8 90.3 102 119.3 104.3 102.8 118.8 60.9 101 122.6 122.2 95 75.6 83.1 89.8 126.1 108.6 98.9 124.3 56.8 102.7 121.7 118.2 101 69 88.6 109.6 128.2 102 122.7 110.5 54 108.1 125 114.1 112.4 87.3 95.4 96.9 125.8 102 112.5 118.9 62.7 110 114.7 124.4 111.9 77 84.1 96.5 106.8 107.9 107.5 114.3 66.6 97.9 117.8 123.8 103.3 84.2 103.6 103.6 112.2 102.7 100.8 109.4 63.5 92.3 119.2 121.5 97.6 78.3 95.6 97.9 114.4 100.9 94.4 117.2 61 95.8 116.2 118.5 94.3 74.4 94.9 102 102.9 109.5 99.7 118.3 56.2 100.3 116.9 108.7 93.9 85.3 85.3 102.4 121.6 91.4 110.2 112.7 55.7 100.1
Seasonal Period
8
12
1
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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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