Offers a systematic, rigorous, and up-to-date treatment of fractional factorial designs and related combinatorial mathematics, a dynamic area of statistical research. The emphasis is on the issues of optimality and construction. The treatment of fractional factorial plans relies heavily on a Kronecker calculus which is introduced is an opening chapter. The discussion includes fractional replication, symmetric and asymmetric orthogonal arrays, trend-free plans, minimum aberration plans, and search and supersaturated designs. A background in matrix algebra and linear statistical models is recommended. For professional statisticians and graduate students. Annotation c. by Book News, Inc., Portland, Or.
A one-stop 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.
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