Fractional Factorial Plans (Wiley Series in Probability and Statistics)

A one-stop reference to fractional factorials and relatedorthogonal arrays.Presenting one of the most dynamic areas of statistical research,this book offers a systematic, rigorous, and up-to-date treatmentof fractional factorial designs and related combinatorialmathematics. Leading statisticians Aloke Dey and Rahul Mukerjeeconsolidate vast amounts of material from the professionalliterature--expertly weaving fractional replication, orthogonalarrays, and optimality aspects. They develop the basic theory offractional factorials using the calculus of factorial arrangements,thereby providing a unified approach to the study of fractionalfactorial plans. An indispensable guide for statisticians inresearch and industry as well as for graduate students, FractionalFactorial Plans features:* Construction procedures of symmetric and asymmetric orthogonalarrays.* Many up-to-date research results on nonexistence.* A chapter on optimal fractional factorials not based onorthogonal arrays.* Trend-free plans, minimum aberration plans, and search andsupersaturated designs.* Numerous examples and extensive references.