title: Qualitative Design of Experiments - 3 Factors 3 Levels - Categorical Response Variable
body: <p>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.</p>
  
  <p>I need to find the factors/interactions that have the most significant contributions. Could someone suggest how to go about doing this?</p>
  
  <p>If there is a similar example worked out, please share the link. </p>
  
  <p>Here are the input values:</p>
  
  <pre><code>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
  </code></pre>
  
  <p>Can this be done in ANOVA or should we use <code>Chi^2</code> or something else?</p>