Factorial designs are widely used in many scientific and industrial investigations. The
objective of this book is to provide a rigorous, systematic, and up-to-date treatment of the …

For fractional factorial (FF) designs, Zhang et al.(2008) introduced a new pattern for
assessing regular designs, called aliased effect-number pattern (AENP), and based on the …

When designing an experiment, it is important to choose a design that is optimal under
model uncertainty. The general minimum lower-order confounding (GMC) criterion can be …

With reference to regular fractions of general s-level factorials, we consider the design
criterion of general minimum lower order confounding (GMC) that aims, in an elaborate …

The construction of optimal 2n− m designs with N/4+ 1≤ n≤ 9N/32, where N= 2n− m is the
run size, and their comparison under different criteria have received significant attention in …

We consider regular fractions of s-level factorials arranged in block designs. Optimal
designs are explored under the criterion of general minimum lower order confounding which …

Zhang et al.(2008) proposed a general minimum lower order confounding (GMC for short)
criterion, which aims to select optimal factorial designs in a more elaborate and explicit …

Blocked designs are widely used in experiments with heterogeneous experimental units. In
this article, we establish an optimality theory of blocked designs when the experimenter has …

In this paper, we extend the general minimum lower‐order confounding (GMC) criterion to
the case of three‐level designs. First, we review the relationship between GMC and other …

General minimum lower order confounding (GMC) is a newly proposed design criterion that
aims at keeping the lower order effects unaliased with one another to the extent possible …