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Data:
35 36.1 40.1 35.4 37.4 39.9 32 32.6 44.9 36.3 43.7 39.8 42.6 48.6 49.1 46.9 45.7 56.1 38.3 40.6 46.5 51.4 47 44.6 51 51.1 54.9 52.1 48.7 50.5 47.5 44.6 50.3 54.3 50 44.8 57.6 47.2 59.1 53.9 45.7 54.5 52.8 52.9 66 63.7 54.4 74.4 50.1 62.5 77.2 65.6 58.2 72.6 68.6 63.1 76.9 70.6 71.4 90.6 71.9 60.9 72.9 69.2 64.8 70.2 63 62.2 82.8 77.6 71.2 70.6 71.1 74 87.9 68.3 68.1 75.7 62.7 66.2 81.3 84 80 80.8 67.3 61.9 77.2 65.6 68.7 82 81.4 70.9 71.2 71.9 71.6 76.4 75.6 73.2 80.2 74 69.5 82 82.8 64.5 92.6 82 78.4 103.8 66.6 73.3 92.3 73.6 74.9 83.6 83.3 70.9 82.5 81.7 83.1 92.4 86.9 110.1 112.1 81.5 84.3 113.5 100.3 93.2 100.4 94.4 110.2 113 94.6 111 160.1 110.1 102.8 112.4 105.4 130.4 117.2 103.9 92.2 95.8 93.1 93.9 147.6 89.6 83 99.2 118.3 110.9 124.4 115.8 112.7 111.9 108.6 102.5 141.9 137.7 121.3 142.8 143 121.1 130.2 146.3 143.7 139.3 109.3 141.3 152.7 152.2 151.8 180.5 129 126.1 187.9 170 168.4 157.1 133.9 103.1 166.3 148 131.4 136.3 135.8 151.8 172.2 154.4 158 146.2 128 124.7 160.3 148.1 139.7 194 188.7 172.2 184.8 160.5 139.7 219.8 143.9 166.2 182.7 152.7 146.8 177.1 186 189.2
Seasonal Period
additive
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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