I'm designing a DOE design with 7 variables that are all continuous. My expectation is 2 of these factors will probably have an optimum curve that is not linear, I also expect interactions between my variables. I have 3pc of the system I'm testing on and my system needs to be able to handle 6 different products - my problem is that I need to find one compromise in settings that provide the optimal output of all 6 different products. My idea is to design the DOE with the 3pc of the system as a categorical factor and the 7 variables as continuous factors. I'm hoping the system will not have an effect, but it might have and I need to have the same settings on all 3 systems. I will then perform the full DOE on all 6 products and try to find the optimal settings for a combination of all 6 products. Does this design make sense to you, or do you have other suggestions? Would it be okay to only test at two levels for all 7 variables or do I have to test at 3 or more levels for the variables I do not expect to have linear behavior? Looking forward to your answer.
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