The faithfulness property is necessary for the causal graph to also capture the dependence relationships, but not for it to capture independence relationships.
I’m confused about what you mean by the Markov property, I was under the impression that this property is generally required for causal diagrams to be considered true. Looking it up, perhaps you’re talking about correlated error terms? Or is it something else?
I meant the same Markov property as you refer to. Yes, it is generally assumed. You can’t do much with causal diagrams without it. Faithfulness is less assumed than Markov, but both, when made, are explicit assumptions/requirements/axioms/hypotheses/whatever.
The faithfulness property is necessary for the causal graph to also capture the dependence relationships, but not for it to capture independence relationships.
I’m confused about what you mean by the Markov property, I was under the impression that this property is generally required for causal diagrams to be considered true. Looking it up, perhaps you’re talking about correlated error terms? Or is it something else?
I meant the same Markov property as you refer to. Yes, it is generally assumed. You can’t do much with causal diagrams without it. Faithfulness is less assumed than Markov, but both, when made, are explicit assumptions/requirements/axioms/hypotheses/whatever.