Theory of factorial design : single- and multi-stratum experiments / Ching-Shui Cheng.

"A Chapman and Hall book."

Includes bibliographical references and index.

1. Introduction --
2. Linear model basics --
3. Randomization and blocking --
4. Factors --
5. Analysis of some simple orthogonal designs --
6. Factorial treatment structure and complete factorial designs --
7. Blocked, split-plot, and strip-plot complete factorial designs --
8. Fractional factorial designs and orthogonal arrays --
9. Regular fractional factorial designs --
10. Minimum aberration and related criteria --
11. Structures and construction of two-level resolution IV designs --
12. Orthogonal block structures and strata --
13. Complete factorial designs with orthogonal block structures --
14. Multi-stratum fractional factorial designs --
15. Nonregular designs--

References--
Index.

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 randomized designs, block designs, and row-column designs. As such, the book is accessible to readers with minimal exposure to experimental design. With exercises and numerous examples, it is suitable as a reference for researchers and as a textbook for advanced graduate students.