Fractional Factorial Split-Plot Designs with Minimum Aberration and Maximum Estimation Capacity

Considering general prime or prime powered factorials, we give a nite projective geometric formulation for regular fractional factorial split-plot designs. This provides a uniied framework for such designs and facilitates their systematic study under the criteria of minimum aberration and minimum secondary aberration; the latter criterion is introduced to achieve ner discrimination. We investigate the role of complementary subsets in this context and observe that, unlike in classical fractional factorials, two such complementary subsets have to be handled simultaneously. Criteria based on estimation capacity are also studied to provide further statistical justiication for our results. Finally, applications of the results to speciic cases are summarized as tables.