Theory of Factorial Design: Single- and Multi-Stratum Experiments, 1st Edition (e-Book) book cover

Theory of Factorial Design

Single- and Multi-Stratum Experiments, 1st Edition

By Ching-Shui Cheng

Chapman and Hall/CRC

409 pages

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Hardback: 9781466505575
pub: 2013-12-21
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pub: 2016-04-19
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Bringing together both new and old results, Theory of Factorial Design: Single- and Multi-Stratum Experiments provides a rigorous, systematic, and up-to-date treatment of the theoretical aspects of factorial design. To prepare readers for a general theory, the author first presents a unified treatment of several simple designs, including completely

Table of Contents

Introduction. Linear Model Basics. Randomization and Blocking. Factors. Analysis of Some Simple Orthogonal Designs. Factorial Treatment Structure and Complete Factorial Designs. Blocked, Split-Plot, and Strip-Plot Complete Factorial Designs. Fractional Factorial Designs and Orthogonal Arrays. Regular Fractional Factorial Designs. Minimum Aberration and Related Criteria. Structures and Construction of Two-Level Resolution IV Designs. Orthogonal Block Structures and Strata. Complete Factorial Designs with Orthogonal Block Structures. Multi-Stratum Fractional Factorial Designs. Non-Regular Designs. Appendix. References. Index.

About the Author

Ching-Shui Cheng is currently a Distinguished Research Fellow and Director of the Institute of Statistical Science, Academia Sinica, in Taiwan, and a retired professor from the University of California, Berkeley. He received his B.S. in mathematics from National Tsing Hua University and both his MS in mathematics and Ph.D. in mathematics from Cornell University. After receiving his Ph.D., he became an assistant professor in the Department of Statistics at the University of California, Berkeley. He was later promoted to associate professor and then professor. He retired on July 1, 2013.

Dr. Cheng's research interest is mainly in experimental design and related combinatorial problems. He is a fellow of the Institute of Mathematical Statistics and the American Statistical Association and an elected member of the International Statistical Institute. He was an associate editor of the Journal of Statistical Planning and Inference, Annals of Statistics, Statistica Sinica, Biometrika, and Technometrics. He also served as the chair-editor of Statistica Sinica from 1996 to 1999.

Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Probability & Statistics / General