Hinkelmann K., Kempthorne O. Design and analysis of experiments (Volume 2: Advanced Experimental Design)

Wiley – 2005, 810 pages.
ISBN: 0471551775, 9780471551775.Volume 2 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. This involves, by necessity, a certain amount of combinatorics and leads, almost automatically, to the notions of balancedness, partial balancedness, orthogonality, and uniformity. These, of course, are also generally desirable properties of experimental designs and aspects of their analysis.