Design and analysis of experiments. Vol 2: Advanced experimental design.

*(English)*Zbl 1085.62086
Wiley Series in Probability and Statistics. Hoboken, NJ: John Wiley & Sons (ISBN 0-471-55177-5/hbk; 978-0-471-70994-7/ebook). xxii, 780 p. (2005).

The project of revising O. Kempthorne ’s book, “The design and analysis of experiments.” (1952; Zbl 0049.09901), started many years ago. The desire was not only to make minor changes but to update it and to incorporate new developments in the field. The present authors’ Volume I appeared in 1994 as an introduction to experimental design, see the review Zbl 0805.62071. It lays the philosophical foundations and discusses the principles of experimental design. All the basic error control designs, such as completely randomized, bloc, Latin squares or split plot designs and their associated analyses are discussed there. This Volume II builds upon these foundations and provides more details about certain aspects of error control and treatment designs and the connections between them. Much of the effort is concentrated on the construction of incomplete block designs for various types of treatment structures, including “ordinary” treatments, control and test treatments, and factorial treatments.

In Chapters 1 through 6, incomplete block and row-column designs are discussed with various degrees of specificity. In Chapters 7 through 12 a general discussion of the most fundamental and important ideas of factorial designs is given, beginning with factors at two levels, continuing with factors with three levels through the general case of symmetrical and asymmetrical factorial designs, and concluding with the important concept of fractional factorial designs. Additional topics involving factorial designs are taken up in Chapters 14 through 17. They cover the concept of main effect plans and their construction, supersaturated designs, search designs and robust designs or Taguchi experiments. The book is concluded with extensive chapters on lattice designs and crossover designs.

As mentioned above, Volume II is based on concepts developed and described in Volume I. Nevertheless, Volume II is essentially self contained. Despite the volume of the book is very large, not everything connected with the experimental design could be covered, as is the case, e.g., with Bayesian experimental designs.

In Chapters 1 through 6, incomplete block and row-column designs are discussed with various degrees of specificity. In Chapters 7 through 12 a general discussion of the most fundamental and important ideas of factorial designs is given, beginning with factors at two levels, continuing with factors with three levels through the general case of symmetrical and asymmetrical factorial designs, and concluding with the important concept of fractional factorial designs. Additional topics involving factorial designs are taken up in Chapters 14 through 17. They cover the concept of main effect plans and their construction, supersaturated designs, search designs and robust designs or Taguchi experiments. The book is concluded with extensive chapters on lattice designs and crossover designs.

As mentioned above, Volume II is based on concepts developed and described in Volume I. Nevertheless, Volume II is essentially self contained. Despite the volume of the book is very large, not everything connected with the experimental design could be covered, as is the case, e.g., with Bayesian experimental designs.

Reviewer: Jaromir Antoch (Praha)

##### MSC:

62Kxx | Design of statistical experiments |

62K10 | Statistical block designs |

62K15 | Factorial statistical designs |

62-02 | Research exposition (monographs, survey articles) pertaining to statistics |

62J10 | Analysis of variance and covariance (ANOVA) |

62-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to statistics |