How many experimental runs exist in a Full Factorial and fully randomized design for 4 factors with 2 replicates for the Corner Points and no Center Points? The factors in the experiment are only at 2-levels.
I’m a bit confused about the replicates part. If we only consider the corner points, does that change the total? I thought we still needed to account for all combinations.
I remember practicing a similar question, and I think the formula for the number of runs is something like levels^factors times replicates. So, that would be 16 times 2, which gives 32.
I think for a full factorial design with 4 factors at 2 levels, the total runs should be 2^4, which is 16. But since we have 2 replicates, I’m not sure if that means we double it or not.
Wait, so we're supposed to run 128 experiments just to test 4 factors? That's madness! I'm going to design my experiment with one factor at a time, that'll be way more efficient. *winks*
Nah, I'm pretty sure it's D) 64. The question says there are no center points, so that means we only have the corner points with 2 replicates, right? Seems like the easiest answer to me.
Hmm, I think the answer is B) 128. That's the number of experimental runs for a full factorial design with 4 factors at 2 levels, right? Plus 2 replicates for the corner points.
Chandra
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