CONSTRUCTIONS AND COMBINATORIAL PROBLEMS IN DESIGN OF EXPERIMENTS

The first full-length treatment of this important subject, Professor Raghavarao’s lucidly written book discusses both the analysis and the constructions and combinatorial mathematical problems arising in the theory of statistical design of scientific experiments. An indispensable tool for anyone conducting research in design theory, it is a high-level text written for readers familiar with experimental design and would be most appropriate for middle-level to advanced graduate courses.

Chapters 1 through 3 are devoted to orthogonal Latin squares. Chapters 4 through 11 deal with general properties of block-treatment designs, including balanced incomplete block designs, tactical configurations, and partially balanced incomplete block designs, while Chapter 12 considers theorems on nonexistence of incomplete block designs, while Chapters 13 through 16 focus on factorial experiments. The final chapter covers combinatorial problems of weighing designs.