A consulting firm engaged in roadbuilding work is asked by o

A consulting firm engaged in road-building work is asked by one of its clients to carry out an experimental study to determine the effects of six factors on the physical properties of a certain kind of asphalt. Call these factors A, B, C, D, E, and F.

(a) If a full factorial design is used, how many runs are needed? (b) Construct a two-level resolution IV design running 16 runs. (c) What is the defining relation for this 16-run design? (d) What effects are confound with the main effect A, with the BD interaction?

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