A-Optimal Incomplete Block Designs for Control-Test Treatment Comparisons

摘要

A-optimal design for comparing v test treatments with a control in b blocks of size k each are considered. Several series of A-optimal are given when the parameters are in the range 2 < or = k < or = 8.k < or = v < or = 30,v < or = b < or = 50. A-optimal designs in blocks of size 2 are extensively studied through a combination of theoretical results and numerical investigations. Tables of approximately A-optimal designs are given when A-optimal design are not easily available for the case k = 2.