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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…mehr

Produktbeschreibung
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.
Autorenporträt
ALOKE DEY, PhD, is a professor at the Indian Statistical Institutein New Delhi. An elected member of the International StatisticalInstitute, Dr. Dey is widely published in the field, including manyresearch papers and two books. RAHUL MUKERJEE, PhD, is a professor at the Indian Institute ofManagement in Calcutta. A member of the editorial board for severalstatistics journals, Dr. Mukerjee has authored and coauthored manyresearch papers and two books. Dr. Mukerjee is an elected member ofthe International Statistical Institute.
Rezensionen
"This is a well-written book...for a mathematically mature audience. This book is a welcome addition to the literature on factorial experiments." (Mathematical Reviews, Issue 2001a, 2001)