Fractional Factorial Plans

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. Fractional Plans and Orthogonal Arrays.

Symmetric Orthogonal Arrays.

Asymmetric Orthogonal Arrays.

Some Results on Nonexistence.

More on Optimal Fractional Plans and Related Topics.

Trend-Free Plans and Blocking.

Some Further Developments.

Appendix.

References.

Index. "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) 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. 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.