The idea for this book came from the time the authors spent at the Statistics and Applied
Mathematical Sciences Institute (SAMSI) in Research Triangle Park in North Carolina …

We specify an algorithm to enumerate a minimum complete set of combinatorially non‐
isomorphic orthogonal arrays of given strength t, run‐size N, and level‐numbers of the …

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 …

This article describes the R package FrF2 for design and analysis of experiments with 2-
level factors. The package offers both regular and non-regular fractional factorial 2-level …

Fractional factorial (FF) designs are widely used in practice and typically are chosen
according to the minimum aberration criterion. A sequential algorithm is developed for …

The statistical design for order‐of‐addition (OofA) experiments has received much recent
interest as its potential in determining the optimal sequence of multiple components, for …

A quaternary linear code is a linear space over the ring of integers modulo 4. Recent
research in coding theory shows that many famous nonlinear codes such as the Nordstrom …

Two-level orthogonal arrays of N runs, k factors, and a strength of 3 provide suitable
fractional factorial designs in situations where many of the main effects are expected to be …

Xu has cataloged 165 minimum aberration (MA) regular fractional factorial (FF) designs with
2-levels and large run sizes N= 128 (m= 8–64 factors), N= 256 (m= 9–28, 109–119), N= 512 …

Two fractional factorial designs are isomorphic if one can be obtained from the other by
reordering the treatment combinations, relabelling the factor levels and relabelling the …