Chapter 3

Two-Level Factorial Design

If you do not expect the unexpected, you will not find it.
Heraclitus

If you have already mastered the basics discussed in Chapters 1 and 2, you are now equipped with very powerful tools to analyze experimental data. Thus far, we have restricted discussion to simple, comparative one-factor designs. We now introduce factorial design—a tool that allows you to experiment on many factors simultaneously. The chapter is arranged by an increasing level of statistical detail. The latter portion becomes more mathematical, but the added effort required to study these details will pay off in increased understanding of the statistical framework and more confidence when using this powerful tool.

The simplest factorial ...

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