Space-Filling Two-Level Factorial Designs

Music City Center 

In this short talk, we survey the literature on binary maximin distance and minimax distance designs for both regular and nonregular designs. For the class of regular 2^(n-p) fractions, we found that all minimum aberration designs with 10 or fewer factors are maximin distance designs with minimum index. For 11 or more factors, there are exceptions to this rule, since there are cases where the dual of a minimum aberration design does not have minimum aberration. For nonregular fractions, we show examples where minimum G-aberration designs perform very poorly with respect to the space-filling properties. Finally, we show how to reduce the computational burden for determining binary minimax distance designs.

maximin distance

minimax distance

error-correcting codes

binary design

fractional factorial design

orthogonal array 

Section on Physical and Engineering Sciences