Fractional Factorial Design: Main Effects and Interactions

This lecture covers the concept of fractional factorial design, focusing on main effects and interactions in the context of experimental design. The instructor explains the limitations of full factorial designs and introduces the idea of reducing the number of experiments while still capturing essential information. Topics include the comparison between full factorial and fractional designs, geometric interpretation of fractional designs, and the concept of aliases in experimental plans. The lecture also delves into the group theory associated with factorial plans and the process of de-aliasing to identify significant effects.