Doe Lecture 12: Fractional Factorial Design

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Now, we introduce the fractional factorial design where all 2^k treatments are not tested. The defining contrast subgroup is discussed.
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Nice. Great lecture as usual. Any chance you have refs for the group structure? I have a vague idea, but just what does the multiplication mean ? why is it that an experiment squared equals one, or does it equal the identity instead? Sorry if this is too basic, but Ive been stuck for a while. I understand the aliasing, how the aliased elements are redundant to each other, but not clear on how the multiplication is defined.

fernandojackson