Chapter 6

Getting the Most from Minimal-Run Designs

The best carpenters make the fewest chips.
German Proverb

In the previous chapter, we demonstrated how to shave runs from a two-level factorial design by performing only a fraction of all possible combinations. In this chapter, we explore minimal designs with one fewer factor than the number of runs, e.g., seven factors in 8 runs. Statisticians consider such designs to be “saturated” with factors. These resolution III designs confound main effects with two-factor interactions—a major weakness. However, they may be the best option when time and other resources are limited. If you are lucky, nothing will be significant and any questions about aliasing become moot. However, if the results exhibit ...

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