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- 5$\begingroup$ There's nothing inherent in those models that makes them causal. Causality, in respect of such models -- if it's inferred at all -- comes from other considerations than the models. $\endgroup$Glen_b– Glen_b2013-06-25 05:15:12 +00:00Commented Jun 25, 2013 at 5:15
- $\begingroup$ +1. Juxtapose this neat comment from @Glen_b and the answer by Andy and you get a spectrum of opinion on the question. For many econometricians and some others, such and such set-up they define as being "causal", regardless of other meanings. For many others, what is causal is a matter of what is happening out there (e.g. in terms of mechanisms), and not defined mathematically at all. There are books and books and books on this.... $\endgroup$Nick Cox– Nick Cox2013-06-25 08:41:06 +00:00Commented Jun 25, 2013 at 8:41
- $\begingroup$ @NickCox Indeed; there are models that are used as a basis by which to infer causality, which are at least suggestive of causality (by satisfying some of the notions of classical causality like notional effects being subsequent to cause -- requiring a time dimension!). e.g. Granger-causality has predictive power and is suggestive of causality in that sense - but could have both left and right sides caused by a 3rd variable. Since the question wasn't about models with such a time-element (at least not specifically), I didn't address that. To show actual causality requires careful experiments. $\endgroup$Glen_b– Glen_b2013-06-25 09:39:09 +00:00Commented Jun 25, 2013 at 9:39
- $\begingroup$ Gelman and Hills multilevel modeling book has a pretty good chapter on causal inference. $\endgroup$N Brouwer– N Brouwer2015-02-03 03:14:53 +00:00Commented Feb 3, 2015 at 3:14
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