# Does a factorial design work for factors that have discrete levels, but can't be classified as “high” or “low”?

I have eight factors, four with 2 levels and four with 3 levels. These levels are not "high" and "low" in the sense that they can be turned off and on—but are instead things like "voiced" and "unvoiced", "male" and "female", or "front", "middle", and "closed."

Is it appropriate to arbitrarily choose which factor represents high and which represents low? Can I say when x = voiced = high = 1 and when x = unvoiced = low = -1, go through runs determined by a factorial design, and still get results that make sense? Are there any things I have to look out for when doing this?

My instinct is "yes, this is perfectly fine," but this type of analysis is fairly new to me, and I'd like to be certain.