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, Fractional Factorial 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.
Table of Content
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.
About the author
ALOKE DEY, Ph D, is a professor at the Indian Statistical Institutein New Delhi. An elected member of the International Statistical Institute, Dr. Dey is widely published in the field, including manyresearch papers and two books.
RAHUL MUKERJEE, Ph D, is a professor at the Indian Institute of Management 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.
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