ABSTRACT
We begin with a discussion of randomization and blocking, and present statistical models for completely randomized designs, randomized block designs, row-column designs, nested row-column designs, and blocked split-plot designs. Based on an assumption of additivity between treatments and experimental units, these models can be justified by appropriate randomizations that preserve the block structures (Grundy and Healy, 1950; Nelder, 1965a; Bailey, 1981, 1991). The same approach can be applied to experiments with more general block structures, including all the simple block structures, to be discussed in Chapter 12.
