Fractional Factorial Plans

by Aloke Dey (Indian Statistical Institute, New Delhi, India); Rahul Mukerjee (Indian Institute of Management, Calcutta, India)

• ISBN13: 9780470317822
• ISBN10: 0470317825
• Format: eBook
• Copyright: 2009-09-01
• Publisher: Wiley-Interscience

Summary

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.

Table of Contents

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

Table of Contents provided by Publisher. All Rights Reserved.