Fractional Factorial Plans / Edition 1

by Aloke Dey, Rahul Mukerjee

Overview

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.

Product Details

ISBN-13:	9780471294146
Publisher:	Wiley
Publication date:	03/25/1999
Series:	Wiley Series in Probability and Statistics , #319
Pages:	232
Product dimensions:	6.48(w) x 9.41(h) x 0.80(d)

About the Author

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.

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.

What People are Saying About This

From the Publisher

"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)

Editorial Reviews

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

Offers a systematic, rigorous, and up-to-date treatment of fractional factorial designs and related combinatorial mathematics, a dynamic area of statistical research. The emphasis is on the issues of optimality and construction. The treatment of fractional factorial plans relies heavily on a Kronecker calculus which is introduced is an opening chapter. The discussion includes fractional replication, symmetric and asymmetric orthogonal arrays, trend-free plans, minimum aberration plans, and search and supersaturated designs. A background in matrix algebra and linear statistical models is recommended. For professional statisticians and graduate students. Annotation c. by Book News, Inc., Portland, Or.

Booknews

"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)

From the Publisher