Chapter 7

General Multilevel Categoric Factorials

Invention is discernment, choice. … The useful combinations are precisely the most beautiful.
Henri Poincaré

In Chapter 2, we showed how to perform simple comparative experiments on individual factors with any number of levels. In the chapters that followed, we shifted to experiments with multiple factors, but restricted to just two levels. You might find it helpful at this point to revisit the flowchart in the Introduction, which directs you to the various types of experiments covered in this book. Your decision on which designs will prove most useful depends on:

  • Number of factors
  • Number of levels
  • Nature of factors: numerical or categorical, process or mixture.

Quite often, you may be confronted ...

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