Construction of some mixed two- and four-level regular designs with GMC criterion

Generalminimum lower-order confounding (GMC) criterion is to choose optimal designs, which are based on the aliased effect-number pattern (AENP). The AENP and GMC criterion have been developed to form GMC theory. Zhang et al. (2015) introduced GMC 2(n)4(m) criterion for choosing optimal designs and constructed all GMC 2(n)4(1) designs with N/4 + 1 <= n + 2 <= 5N/16. In this article, we analyze the properties of 2(n)4(1) designs and construct GMC 2(n)4(1) designs with 5N/16 + 1 <= n + 2 < N -1, where n and N are, respectively, the numbers of two-level factors and runs. Further, GMC 2(n)4(1) designs with 16-run, 32-run are tabulated.