@MISC{Steel_commenton, author = {Daniel Steel}, title = {Comment On Hausman & Woodward On The Causal Markov Condition}, year = {} }
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Abstract
Hausman & Woodward present an argument for the Causal Markov Condition (CMC) on the basis of a principle they dub ‘modularity ’ ([1999, 2004]). I show that the conclusion of their argument is not in fact the CMC but a substantially weaker proposition. In addition, I show that their argument is invalid and trace this invalidity to two features of modularity, namely, that it is stated in terms of pairwise independence and ‘arrow-breaking ’ interventions. Hausman & Woodward’s argument can be rendered valid through a reformulation of modularity, but it is doubtful that the argument so revised provides any substantially new insight regarding the basis of the CMC.