I used Minitab to optimise media parameters. i was able to study the interaction between a set of two parameters with the extra parameters at hold value. is it possible to study the interaction between three parameters?
In order to study the interaction between three parameters, you need to fit your data with cubic regression model. However, standard response surface methodology such as central composite design can not fit cubic regression model. You can study the interaction between three parameters using cubic regression model by using custom design of experiments such as D-optimal design or I-optimality criteria.
To find the interaction between three parameters in Response Surface methodology you can use the Box and Benkhen statistical model and Minitab software can be used.
https://www.youtube.com/watch?v=7KRuFJDq3UY
Box and Benkhen design can not be used to fit higher empirical model for three interaction effects. It can only be used to estimate two factor interaction effects.
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