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Data:
53.1 64.1 75.3 66 73.6 73.2 53.5 60.6 73 72.4 75.8 79.6 77.8 75.7 88.5 72.9 80.8 86.6 63.8 69.2 76.5 77.1 75.3 69.5 64.3 66.7 77.3 75.3 73.4 78 61 58.4 73.4 82.3 72.2 76 64.3 70.8 74 71.4 70.1 77.6 61.2 52.1 74.4 73.1 70.9 80.7 62.9 69.3 82.3 76.2 70.8 87.3 62 66.9 84.4 82.6 77.7 87 76 76.3 88.8 81.2 74.5 98.1 63.3 67.7 85.8 78.6 87.2 106.4 75 80.4 94.8 77 91 96.7 69.2 69.5 93.7 98.5 93.3 100.4 87.4 89 106.1 92.5 96.6 113.3 87.6 89.2 115.6 133.2 111.1 113.1 102 109.3 111.1 116.8 107.5 120.5 95.5 87.9 118.6 116.3 98.8 102.9 80.4 87 97.4 87.2 110.6 101.1 69.1 77.4 95 93.2 96.3 93.9 78.5 90 109.2 94.3 93.1 114.5 78.5 88.3 114.8 112.2 106.9 119.7 97.1 106.3 131.7 106.7 124 117.2 87.8 91.9 125.1 115.4 117.7 124.3 104.8 109.6 139.5 105.3 112.4 128.9 91.6 98.7 117.8 117.4 110.5 103.1 95.8 98.2 117.2 108.5 113.2 120.2 102.8 89.4 119.8 126.9 114.4 117.4 109.4 111.1 121 116.6 119.5 121.2 101 92.7 125.5 123.4 110.3 118.8 97.1 107.6 131 117.9 111 131.4 101.8 93.9 138.5 131.1 124.9 126.6 102.7 121.6 132.8 123 116 135 93.7 98.4 129.8 121.9 124.8 126.9 102 117.7 144.8 113.3 129.3 135.7 94.3 106
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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