On Construction of Nonregular Two-Level Factorial Designs With Maximum Generalized Resolutions

Abstract

The generalized resolution was introduced and justified in Deng and Tang (1999) as a criterion for selecting nonregular factorial designs. Although there have been extensive research activities on other aspects of nonregular designs, developments on the construction of nonregular designs with maximum generalized resolutions pale by comparison. To date, our knowledge of nonregular designs with maximum generalized resolutions is predominantly computational except very few theoretical results. Devoting the whole paper to this topic, we undertake a comprehensive study on the construction of nonregular designs with maximum generalized resolutions.We derive lower bounds on relevant J-characteristics and present construction results. With the assistance of the lower bounds, many of the constructed designs are shown to have maximum generalized resolutions.