09 May we don need to know the functional form of the association
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cheap Retro Jordans I have been interested in giving a lecture to lay people about your work, but would like to compare/contrast it with Rubin work. I understand how strongly you disagree! But I would appreciate it if you could point me to a couple of your articles that lay the argument out in an accessible way.I have written a fairly decent section on Rubin model in Statistics Surveys:Important to stress: I do not disagree with Rubin work (it is subsumed by structural modeling), I am merely mused by the tunnel visioned culture that this work has engendered. However if the interest is on a single fixed exposure, he thinks traditional regression methods are more superior. we don need to know the functional form of the association between a confounder and exposure (or outcome) during estimation, and hence are less prone to bias. the Robin G methods and even the regression methods he talking about).Thank you for raising these questions about Tyler article. I believe several of Tyler statements stand the risk of being misinterpreted by epidemiologists, for they may create the impression that the use of SEM, including its nonparametric variety, is somehow riskier than the use of other techniques. This is not the case. I believe Tyler critics were aimed specifically at parametric SEM, such as those used in Arlinghaus etal (2012), but not at nonparametric SEMs which he favors and names diagrams Indeed, nonparametric SEM are blessed with unequal transparency to assure that each and every assumption is visible and passes the scrutiny of scientific judgment. SEMs do not make assumptions, nor do they to make assumptions investigators do. I am inclined to believe that Tyler critics were aims at a specific application of SEM rather than SEM as a methodology.Purging SEM from epidemiology would amount to purging counterfactuals from epidemiology the latter draws its legitimacy from the former.I also reject occasional calls to replace SEM and Causal Diagrams with weaker types of graphical models which presumably make weaker assumptions. In other words, when an investigators asks him/herself whether an arrow from X to Y is warranted, the investigator does not ask whether an intervention on X would change the probability of Y (read: P(ydo(x)) = P(y)) but whether the function f in the mechanism y=f(x, u) depends on x for some u. Claims that the stronger assumptions made by SEMs (compared with interventional graphs) may have unintended consequences are supported by a few contrived cases where people can craft a nontrivial f(x,u) despite the equality P(ydo(x)) = P(y)). (See an example in Causality page 24.)For a formal distinction between SEM and interventional graphs (also known as Bayes networks see Causality pages 23 24, 33 36). For more philosophical discussions defending counterfactuals and SEM against false alarms see: cheap Retro Jordans.