1st Edition

Theory of Nonregular Factorial Designs

By Ching-Shui Cheng, Boxin Tang Copyright 2025
280 Pages 2 B/W Illustrations
by Chapman & Hall

280 Pages 2 B/W Illustrations
by Chapman & Hall

Nonregular factorial designs are a class of factorial designs that enable researchers to study simultaneously the effects of many explanatory variables on a response variable of interest. Factorial designs have been in the mainstream of design research for decades, but interest in nonregular factorial designs has been increasing significantly in the last twenty years or so. These designs are... Read more

1. Introduction

2. Basics of Factorial Designs

3. J-Characteristics and Projection Properties

4. Generalized Resolution and Minimum G-Aberration

5. Minimum G2-Aberration

6. Clear Effects, Requirement Sets, and SOS Designs

7. Minimum G2-Aberration in Complex Settings

8. Supersaturated Designs

9. Other Nonregular Designs

10. Multi-Level Nonregular Designs

11. Mixed-Level Designs and Complicated Unit Structures

12. Space-Filling Designs

Biography

Ching-Shui Cheng is a Professor Emeritus at University of California, Berkeley. Boxin Tang is a Professor of Statistics at Simon Fraser University. Both have their main research interests in the area of experimental design.

Professor Cheng is a Fellow of the Institute of Mathematical Statistics and a Fellow of the American Statistical Association. He is a former Chair-Editor for Statistica Sinica, and also served as an Associate Editor for the Annals of Statistics, Biometrika, Journal of Statistical Planning and Inference, Statistica Sinica, and Technometrics.

Professor Tang is a Fellow of the Institute of Mathematical Statistics and a Fellow of the American Statistical Association. He has served on the editorial boards of the Annals of Statistics, Bernoulli Journal, Electronic Journal of Statistics, Journal of the Royal Statistical Society: Series B, Journal of Statistical Theory and Practice, and Statistica Sinica.