Block Designs: Analysis, Combinatorics and Applications

The intra- and inter- block, nonparametric and covariance analysis are discussed for general block designs, and the concepts of connectedness, orthogonality, and all types of balances in designs are carefully summarized. Readers are also introduced to the designs currently playing a prominent role in the field: alpha designs, trend-free designs, balanced treatment-control designs, nearest neighbor designs, and nested designs.

This book provides the important background results required by researchers in block designs and related areas and prepares them for more complex research on the subject.