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1157 andrew gelman stats-2012-02-07-Philosophy of Bayesian statistics: my reactions to Hendry


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Introduction: Continuing with my discussion here and here of the articles in the special issue of the journal Rationality, Markets and Morals on the philosophy of Bayesian statistics: David Hendry, “Empirical Economic Model Discovery and Theory Evaluation”: Hendry presents a wide-ranging overview of scientific learning, with an interesting comparison of physical with social sciences. (For some reason, he discusses many physical sciences but restricts his social-science examples to economics and psychology.) The only part of Hendry’s long and interesting article that I will discuss, however, is the part where he decides to take a gratuitous swing at Bayes. I don’t know why he did this, but maybe it’s part of some fraternity initiation thing, like TP-ing the dean’s house on Halloween. Here’s the story. Hendry writes: ‘Prior distributions’ widely used in Bayesian analyses, whether subjective or ‘objective’, cannot be formed in such a setting either, absent a falsely assumed crys


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1 ) The only part of Hendry’s long and interesting article that I will discuss, however, is the part where he decides to take a gratuitous swing at Bayes. [sent-3, score-0.161]

2 Hendry writes: ‘Prior distributions’ widely used in Bayesian analyses, whether subjective or ‘objective’, cannot be formed in such a setting either, absent a falsely assumed crystal ball. [sent-6, score-0.199]

3 Rather, imposing a prior distribution that is consistent with an assumed model when breaks are not included is a recipe for a bad analysis in macroeconomics. [sent-7, score-0.306]

4 Fortunately, priors are neither necessary nor sufficient in the context of discovery. [sent-8, score-0.377]

5 With sufficient effort, I think you can solve all statistical problems with Bayesian methods, or with robust methods, or with bootstrapping, or with any number of alternative approaches. [sent-31, score-0.238]

6 Different approaches have different advantages, but I’m sure that if Hendry adopts a self-denying ordinance and decides to never use priors, he can solve all sorts of data analysis problems. [sent-33, score-0.152]

7 But, to be fair, there are some problems that I have to work really hard on too. [sent-35, score-0.143]

8 In short: econometrics methods tend to require more effort in complicated settings, but they often have appealing robustness properties. [sent-36, score-0.208]

9 My most serious criticism with Hendry’s above paragraph is the old, old story: he’s singling out Bayesian methods and priors as being particularly bad. [sent-39, score-0.244]

10 Hendry’s standing at the back window with a shotgun, scanning for priors coming over the hill, while a million assumptions just walk right into his house through the front door. [sent-42, score-0.187]

11 I could give a million examples of useful knowledge that can be discovered with the aid of prior distributions. [sent-45, score-0.175]

12 I’m not even saying that Bayesian methods are needed to solve the problems listed in the above paragraph. [sent-54, score-0.234]

13 What I am saying is, why is Hendry so sure that “prior distributions should play a minimal role” etc. [sent-56, score-0.242]

14 I’m really bothered when people go beyond the simple and direct, “I have no personal experience with Bayesian inference solving a useful problem” to prescriptive (and wrong) statements such as “prior distributions should play a minimal role. [sent-58, score-0.342]

15 ” And it’s just silly to say that priors are “unhelpful in a changing world. [sent-59, score-0.189]

16 Hendry also pulls the no-true-Scotsman trick: Fortunately, priors are neither necessary nor sufficient in the context of discovery. [sent-61, score-0.377]

17 Certainly, a general language system seems to be hard wired in the human brain (see Pinker 1994; 2002) but that hardly constitutes a prior. [sent-64, score-0.424]

18 Thus, in one of the most complicated tasks imaginable, which computers still struggle to emulate, priors are not needed. [sent-65, score-0.187]

19 I just wish he’d cut out the part where he implicitly disparages the work of Mosteller and Wallace, Lax and Phillips, and a few zillion other researchers who’ve used Bayesian methods to solve problems. [sent-78, score-0.322]

20 All he needs to do is to retreat to present the positive virtues of his preferred inferential approach along with his explanations as to why Bayesian methods have not seemed useful for him. [sent-80, score-0.157]


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