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Data:
112.7 122 134.7 109.8 130.8 118.7 104.4 87.8 134.2 143.9 140.4 111 126.3 124.4 136.1 118.4 127.4 127.9 115 90.2 131 143.3 131.5 98.5 124.9 122.4 128.8 125.9 120.2 120 116 89.2 135.9 148.7 128.1 100.9 125.5 119.8 120.7 125 109 114.2 105.6 80.1 131.1 136.6 119.7 102.4 114.5 112.9 131.8 118.7 107.1 127 104.6 85.9 134 127.6 121.5 104.5 107.3 111.9 120.7 116.9 106.1 122.3 97.8 82.7 128.2 119 127.4 106 108.7 113.5 131.4 111.3 119 130.7 104.5 88.9 135.4 140.6 138.8 107.4 120.8 124.1 139.2 119.9 121 133.7 115.2 96.7 131 147.6 132.9 97.4 123.6 124.9 118.6 127.6 110.2 115.4 106.6 75.5 116.7 118 98.7 81.5 87 86.8 96.8 92.7 82.1 94.1 89.7 67.5 102 103.2 95.6 83 87.2 94 107.7 103.3 94.8 112.7 96.8 75.9 116.7 111.4 108.6 90.9 92.6 95.7 116.7 95.4 105.1 99.7 89.8 74 108 102.1 100.2 83.2 87.9 93.3 98.5 84.5 89.3 94.2 83.5 67.5 89.4 102.4 92 65.9 85.3 87 91.8 88.5 89.1 89.8 88.9 64 93.2 100.1 89.3 68.1 94.3 93.3 98.1 96.8 87.8 95.6 95.7 64.4 108.1 109.6 90.9 75.6 93.5 98.1 104.5 102.7 89.6 108.8 95.4 70.1 104.6 105.5 96.8 79.4 92.3 96.8 103 99.5 91 103.4 82 70.1 98.1 95.7 98 77.3 89.8 91.6 106.5 87.5 99.5 104.4 84.5 68.3
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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