DOE analysis: should I include an individual effect because I included the interaction?Hi everyone,
I have a very basic question regarding the fitting of a multivariate model using DoE data.
Suppose I have done a DoE (for example, using DSD) that allows me to consider 2-way interactions. I have now created a multivariate linear regression model for my response and verified that the interaction between A and B are significant but the individual factors themselves are not.
Should I include the individual factors A and B in my model because I have included the interaction between them (A*B) or that will only create a unnecessarily complex model?
Thank you!
AnalyticsDOERe: DOE analysis: should I include an individual effect because I included the interaction?Yes.
This is called 'model hierarchy.' The A term and the B term are 'contained' within the A*B term, creating the hierarchy. JMP will warn you if you try to remove A or B when A*B remains in the model. You are allowed to remove either A or B but we recommend that you don't.
