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Data:
1859000 1869000 1858000 1859000 1878000 1876000 1869000 1888000 1874000 1872000 1885000 1878000 1868000 1879000 1873000 1863000 1880000 1886000 1880000 1901000 1900000 1901000 1922000 1917000 1918000 1927000 1926000 1926000 1945000 1940000 1934000 1945000 1940000 1935000 1945000 1937000 1932000 1947000 1943000 1941000 1951000 1951000 1944000 1962000 1968000 1969000 1972000 1954000 1959000 1971000 1963000 1964000 1986000 1972000 1975000 1993000 1983000 1997000 2000000 1995000 1991000 2001000 1993000 1995000 2010000 2005000 2008000 2028000 2015000 2023000 2031000 2027000
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R Code
par1 <- as.numeric(par1) (n <- length(x)) (np <- floor(n / par1)) arr <- array(NA,dim=c(par1,np+1)) ari <- array(0,dim=par1) j <- 0 for (i in 1:n) { j = j + 1 ari[j] = ari[j] + 1 arr[j,ari[j]] <- x[i] if (j == par1) j = 0 } ari arr arr.sd <- array(NA,dim=par1) arr.range <- array(NA,dim=par1) arr.iqr <- array(NA,dim=par1) for (j in 1:par1) { arr.sd[j] <- sqrt(var(arr[j,],na.rm=TRUE)) arr.range[j] <- max(arr[j,],na.rm=TRUE) - min(arr[j,],na.rm=TRUE) arr.iqr[j] <- quantile(arr[j,],0.75,na.rm=TRUE) - quantile(arr[j,],0.25,na.rm=TRUE) } overall.sd <- sqrt(var(x)) overall.range <- max(x) - min(x) overall.iqr <- quantile(x,0.75) - quantile(x,0.25) bitmap(file='plot1.png') plot(arr.sd,type='b',ylab='S.D.',main='Standard Deviation Plot',xlab='Periodic Index') mtext(paste('# blocks = ',np)) abline(overall.sd,0) dev.off() bitmap(file='plot2.png') plot(arr.range,type='b',ylab='range',main='Range Plot',xlab='Periodic Index') mtext(paste('# blocks = ',np)) abline(overall.range,0) dev.off() bitmap(file='plot3.png') plot(arr.iqr,type='b',ylab='IQR',main='Interquartile Range Plot',xlab='Periodic Index') mtext(paste('# blocks = ',np)) abline(overall.iqr,0) dev.off() bitmap(file='plot4.png') z <- data.frame(t(arr)) names(z) <- c(1:par1) (boxplot(z,notch=TRUE,col='grey',xlab='Periodic Index',ylab='Value',main='Notched Box Plots - Periodic Subseries')) dev.off() bitmap(file='plot5.png') z <- data.frame(arr) names(z) <- c(1:np) (boxplot(z,notch=TRUE,col='grey',xlab='Block Index',ylab='Value',main='Notched Box Plots - Sequential Blocks')) dev.off() bitmap(file='plot6.png') z <- data.frame(cbind(arr.sd,arr.range,arr.iqr)) names(z) <- list('S.D.','Range','IQR') (boxplot(z,notch=TRUE,col='grey',ylab='Overall Variability',main='Notched Box Plots')) dev.off()
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