Lei, Yi Ju et Ou, Zu Jun, A note on lower bound of centered L 2-discrepancy on combined designs, Acta mathematica Sinica. English series (Print) , 28(4), 2012, pp. 793-800
This note provides a theoretical justification of optimal foldover plans in terms of uniformity. A new lower bound of the centered L 2-discrepancy values of combined designs is obtained, which can be used as a benchmark for searching optimal foldover plans. Our numerical results show that this lower bound is sharper than existing results when more factors reverse the signs in the initial design.