Abstract: Families of balanced incomplete block designs with nested rows and columns are developed for multistage experimentation. In some designs the stages, or distinct treatment sets, are orthogonal to one another, and in others totally balanced. For given numbers of treatments, blocks, stages, and block size, the technique leads to a variety of totally balanced designs, from which the most efficient is selected.
Key words and phrases: Nested row-column design, mutually orthogonal designs, total balance, multistage experiments, method of differences.