Fractional Factorial Plans

Aloke Dey (Author), Rahul Mukerjee (Author)

9780471294146, Wiley

Hardback, published 6 April 1999

232 pages
23.9 x 16.4 x 2 cm, 0.497 kg

"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)

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.

Subject Areas: Mathematics [PB]