Qualitative Design of Experiments - 3 Factors 3 Levels - Categorical Response Variable

Question

I need to perform a design of experiments where I have 3 factors with 3 levels each (all numerical). But the end response is going to be - Good, Bad, Pass sort of deal.

I need to find the factors/interactions that have the most significant contributions. Could someone suggest how to go about doing this?

If there is a similar example worked out, please share the link.

Here are the input values:

Factor 1: 0.9, 1.0, 1.1
Factor 2: 0.4, 0.45, 0.5
Factor 3: 3000, 3600, 4200

Response: Great, Pass, Fail

Can this be done in ANOVA or should we use Chi^2 or something else?

Answer 1

Good question. There's a discussion on this topic on Researchgate here where somebody asks a similar question to yours.