Minimum-aberration two-level fractional factorial split-plot designs

It is often impractical to perform the experimental runs of a fractional fa ctorial in a completely random order. In these cases, restrictions on the r andomization of the experimental trials are imposed and the design is said to have a split-plot structure. We rank these fractional factorial split-pl ot designs similarly to fractional factorials using the aberration criterio n to find the minimum-aberration design. We introduce an algorithm that con structs the set of all nonisomorphic two-level fractional factorial split-p lot designs more efficiently than existing methods. The algorithm can be ea sily modified to efficiently produce sets of all nonisomorphic fractional f actorial designs, fractional factorial designs in which the number of level s is a power of a prime, and fractional factorial split-plot designs in whi ch the number of levels is a power of a prime.