ABSTRACT
Nested effects can occur in either the design structure or the treatment structure or both of a designed experiment. For nesting to occur in the design structure, there must be more than one size of experimental unit where a small experimental unit is nested within a larger one. Split-plot, repeated measures and hierarchical designs are examples where there is nesting in the design structure. Nesting in the treatment structure can occur when there are two or more factors. These factors may be all xed effects, all random effects, or a mixture of both. Thus an experiment with nesting in the treatment structure can be modeled as a xed, random, or mixed model. The concept of nested factors in the design structure was introduced in Chapter 5. This chapter presents some examples that demonstrate model construction, parameter estimation, and hypothesis testing. Nested designs with nesting in the design structure are often referred to as hierarchical designs.
