The store wants to know whether variability among regions is more important than variability between farms within regions, or if neither variability is significant in comparison with variability within individual farms. The grocery store collects cartons of produce over four weeks from farms in four local regions. Each individual carton was assigned a score for quality. Not all farms had four cartons in the study since the store does not buy from all of its supplier farms in every week. The data collected is in Table 4 below.
Farm produce quality by region.
Run a Duncan procedure to find out. Table 5 below has data for variables LGC and C1-C10 for 35 census tracts. Write out formulas for these principal components in terms LGC and C1-C10. The first column in Table 2 is the census tract number. The variables LGC and C1-C10 are all known to be positively correlated with the population size.