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Oct 15, 2017 at 11:42 comment added Frank Harrell It i not good statistical practice to select terms based on significance testing. Pre-specify your model and compute contrasts of interest within that one model.
Oct 15, 2017 at 11:27 comment added alexeymosco I will put it in different words: your interpretation of B * C have nothing to do with other terms of your formula because you work with a linear combination (sum of weighted terms). Whatever other terms' coefficients are, you interpret B * C as intreacting term where B coefficient depends on C. However when you interprete the model as a whole, you really interprete how output was affected by all the terms in the formula. Here you are dependent on all the terms and their interactions specified.
Oct 15, 2017 at 11:17 vote accept cs0815
Oct 15, 2017 at 11:16 comment added alexeymosco Yes you can (have to). Estimates of all formula's parameters influence the OUTPUT whether they are attributed with low or high p-values. If otherwise is not coded in your function of linear model, which may be language-related question.
Oct 15, 2017 at 11:13 comment added cs0815 Thanks. The thing is I would like to keep them in as I am after the parameters for BC and B. The question is, if for example the p-value for AB*C is above 0.05, can I still see this parameter as included and thus interpret the value for B (provided B's p value is below 0.05)?
Oct 15, 2017 at 11:02 history answered alexeymosco CC BY-SA 3.0