This monograph is devoted to the theory of the design of optimal experiments. It introduces new ideas of the author that are an integral part of mathematical foundations of factorial experiments. The book presents a new concept of factorial models and addresses the issues of construction of effective plans for them. It contains numerous examples and a catalogue of factorial designs. The monograph will be useful to practitioners involved in experiments in various fields of industry and science, and it will be useful to researchers. This book will also be a valuable addition to core curriculum for senior and graduate students studying the design of experiments.

This monograph is devoted to the theory of the design of optimal experiments. It introduces new ideas of the author that are an integral part of mathematical foundations of factorial experiments. The book presents a new concept of factorial models and addresses the issues of construction of effective plans for them. It contains numerous examples and a catalogue of factorial designs. The monograph will be useful to practitioners involved in experiments in various fields of industry and science, and it will be useful to researchers. This book will also be a valuable addition to core curriculum for senior and graduate students studying the design of experiments.

The monograph is devoted to the theory of the design of optimal experiments. It addresses the issues of construction of factorial models and effective plans for them. The book contains numerous examples and a catalogue of factorial designs. It will be useful to practitioners involved in experiment in various fields of industry and science. It will also be useful to researchers. Besides, the book can represent the core of courses in the design of experiments for graduate and senior students.

Design and analysis of experiments/Hinkelmann.-v.1.

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 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. In addition to traditional topics and a thorough discussion of the popular minimum aberration criterion, the book covers many topics and new results not found in existing books. These include results on the structures of two-level resolution IV designs, methods for constructing such designs beyond the familiar foldover method, the extension of minimum aberration to nonregular designs, the equivalence of generalized minimum aberration and minimum moment aberration, a Bayesian approach, and some results on nonregular designs. The book also presents a theory that provides a unifying framework for the design and analysis of factorial experiments with multiple strata (error terms) arising from complicated structures of the experimental units. This theory can be systematically applied to various structures of experimental units instead of treating each on a case-by-case basis.

The last twenty years have witnessed a significant growth of interest in optimal factorial designs, under possible model uncertainty, via the minimum aberration and related criteria. This book gives, for the first time in book form, a comprehensive and up-to-date account of this modern theory. Many major classes of designs are covered in the book. While maintaining a high level of mathematical rigor, it also provides extensive design tables for research and practical purposes. Apart from being useful to researchers and practitioners, the book can form the core of a graduate level course in experimental design.

The development and introduction of new experimental designs in the last fifty years has been quite staggering, brought about largely by an ever-widening field of applications. Design and Analysis of Experiments, Volume 2: Advanced Experimental Design is the second of a two-volume body of work that builds upon the philosophical foundations of experimental design set forth by Oscar Kempthorne half a century ago and updates it with the latest developments in the field. Designed for advanced-level graduate students and industry professionals, this text includes coverage of incomplete block and row-column designs; symmetrical, asymmetrical, and fractional factorial designs; main effect plans and their construction; supersaturated designs; robust design, or Taguchi experiments; lattice designs; and cross-over designs.