Algorithmic Construction of Efficient Fractional Factorial Designs With Large Run Sizes

Nonregular factorial and supersaturated designs

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 ar...

Selection of Non-Regular Fractional Factorial Designs When Some Two-Factor Interactions are Important

Non-regular two-level fractional factorial designs, such as Plackett–Burman designs, are becoming popular choices in many areas of scientific investigation due to their run size economy and flexibility. The run size of nonregular two-level factorial designs is a multiple of 4. They fill the gaps left by the regular twolevel fractional factorial designs whose run size is always a power of 2 (4, ...

MATHEMATICAL ENGINEERING TECHNICAL REPORTS Some Characterizations of Affinely Full-dimensional Factorial Designs

A new class of two-level non-regular fractional factorial designs is defined. We call this class an affinely full-dimensional factorial design, meaning that design points in the design of this class are not contained in any affine hyperplane in the vector space over F2. The property of the indicator function for this class is also clarified. A fractional factorial design in this class has a des...

Construction of Efficient Fractional Factorial Mixed-Level Designs

Recent developments in nonregular fractional factorial designs

Nonregular fractional factorial designs such as Plackett-Burman designs and other orthogonal arrays are widely used in various screening experiments for their run size economy and flexibility. The traditional analysis focuses on main effects only. Hamada and Wu (1992) went beyond the traditional approach and proposed an analysis strategy to demonstrate that some interactions could be entertaine...