I’m not confident, but I feel like it could be 12? I remember something about needing to account for interactions, but I can't quite remember how that fits in.
Okay, I remember learning about full-factorial designs in class. The number of runs is equal to the number of possible combinations, which is 2^k where k is the number of factors. So for 3 factors, that's 2^3 = 8 runs. I'm confident that's the right answer.
Hmm, I'm a bit unsure on this. Let me think it through - there are 3 factors, each with 2 levels, so that's 2 x 2 x 2 = 8 possible combinations. But I'm not sure if that's the same as the number of runs required. I'll have to double-check my notes.
I think I know this one - a full-factorial design with 3 factors at 2 levels means there are 2^3 = 8 possible combinations, so the number of runs required is 8.
Wait, I'm confused. Isn't a full-factorial design supposed to have all possible combinations of the factor levels? If there are 3 factors at 2 levels each, wouldn't that be 2 x 2 x 2 = 12 runs? I'll have to re-read the question carefully.
Wait, isn't a full-factorial design the one where you test every possible combination? That sounds like a lot of work - I'll stick to my 2^k designs, thank you very much!
I'm not sure, but I think the answer might be D) 12 because each factor at two levels means 2^3 = 8 runs, and then we need to include all possible combinations, which would be 8 + 4 = 12.
Renato
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