ABSTRACT
Fractional factorial designs are classified into two broad types: regular designs and nonregular designs. Regular designs are constructed through defining relations among factors; they are introduced in Chapter 1, Section 1.7 and fully described in Chapter 7. These designs have a simple alias structure in that any two factorial contrasts are either orthogonal or fully aliased. The run sizes are always a power of two, three, or another prime, and thus the “gaps” between possible run sizes increase exponentially as the power increases.
