Abstract:

As a new type of experimental designs, the extended designs have been paid more and more attention in recent years. The extended design includes two parts: initial design and follow-up design. In many follow-up designs, some extra factors with two or three levels may be added in the follow-up stage since they are quite important but may be neglected in the initial stage. In this paper, under the uniformity criterion, we present the analytical expressions and the corresponding lower bounds on mixture-discrepancy of the mixed-level column augmented designs. In the sense of mixed discrepancy, mixed-level column augmented nearly uniform designs are proposed.

Key words: Follow-up design, Mixture-discrepancy, Lower bound