What to do with contained effectsI am running a 2x2 full factorial study and only looking to model main effects and one-way interactions. As shown below, I have a main effect that appears as less significant than the one-way interaction that contains it. I know the interaction factor is also itself insignificant, but in the past I've seen it as significant. In the past i've just removed the insignificant interaction factor before removing the main effect. Is there any guidance on this? Why might this happen? Is there anything specifically in the dataset that causes this? What is the proper way to handle effects in the situation? Thanks in advance.

Advanced Statistical ModelingBasic Data Analysis and ModelingDesign of ExperimentsPredictive Modeling and Machine Learning