ABSTRACT
This chapter introduces factorial treatment structures with an examination of treatments that involve certain factors. It illustrates the analysis of factorial structures on the data and addresses some modeling issues involved with factorial structures. The chapter looks at modeling interaction in the context of a designed experiment and examines extensions of the Latin square designs. It describes a treatment structure that is slightly more complicated than factorial structure. Factorial treatment structures are simply an efficient way of defining the treatments used in an experiment. A factorial treatment structure uses treatments that are all combinations of the different levels of the factors. Experiments involving factorial treatment structures are often referred to as factorial experiments or factorial designs. The factorial treatment concept involves only the definition of the treatments. Factorial treatment structure can be used in any design, for example, completely randomized designs, randomized block designs, and in Latin square designs.
