In a regression including 3 variables, and the interaction of 2 of those variables:
- Variable A
- Variable B
- Variable C
- Variable A * Variable B,
where the interaction of Variable A * Variable B is significant, should the regression coefficient for C be interpreted?
Under the tradition that if the interaction term A*B if significant, the main effects/conditional effects of A and B should not be
interpreted, does this logic of not interpreting the main effects
apply to any variables in the model not present in the interaction
Or should the coefficient for Variable C be interpreted since it was not included in the interaction term?
- If so, how should C be interpreted, if significant? What is the meaning of it?
How does the presence of C effect the way A*B should be interpreted?