Dey A., Mukerjee R. Fractional factorial plans

John Wiley & Sons, 1999 — 219 p.A one-step reference to fractional factorials and related orthogonal arrays. Presenting one of the most dynamic areas of statistical research, this book offers a systematic, rigorous, and up-to-date treatment of fractional factorial designs and related combinatorial mathematics. Leading statisticians Aloke Dey and Rahul Mukerjee consolidate vast amounts of material from the professional literature-expertly weaving fractional replication, orthogonal arrays, and optimality aspects. They develop the basic theory of fractional factorials using the calculus of factorial arrangements, thereby providing a unified approach to the study of fractional factorial plans. An indispensable guide for statisticians in research and industry as well as for graduate students, Fractional Factorial Plans features:
Construction procedures of symmetric and asymmetric orthogonal arrays.
Many up-to-date research results on nonexistence.
A chapter on optimal fractional factorials not based on orthogonal arrays.
Trend-free plans, minimum aberration plans, and search and supersaturated designs.
Numerous examples and extensive references.