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932 andrew gelman stats-2011-09-30-Articles on the philosophy of Bayesian statistics by Cox, Mayo, Senn, and others!


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Introduction: Deborah Mayo, Aris Spanos, and Kent Staley edited a special issue on the philosophy of Bayesian statistics for the journal Rationality, Markets and Morals. Here are the contents : David Cox and Deborah G. Mayo, “Statistical Scientist Meets a Philosopher of Science: A Conversation” Deborah G. Mayo, “Statistical Science and Philosophy of Science: Where Do/Should They Meet in 2011 (and Beyond)?” Stephen Senn, “You May Believe You Are a Bayesian But You Are Probably Wrong” Andrew Gelman, “ Induction and Deduction in Bayesian Data Analysis “ Jan Sprenger, “The Renegade Subjectivist: Jose Bernardo’s Objective Bayesianism” Aris Spanos. “Foundational Issues in Statistical Modeling: Statistical Model Specification and Validation” David F. Hendry, “Empirical Economic Model Discovery and Theory Evaluation” Larry Wasserman, “Low Assumptions, High Dimensions” For some reason, not all the articles are yet online, but it says they’re coming soon. In the meantime, you ca


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1 Deborah Mayo, Aris Spanos, and Kent Staley edited a special issue on the philosophy of Bayesian statistics for the journal Rationality, Markets and Morals. [sent-1, score-0.35]

2 Here are the contents : David Cox and Deborah G. [sent-2, score-0.13]

3 Hendry, “Empirical Economic Model Discovery and Theory Evaluation” Larry Wasserman, “Low Assumptions, High Dimensions” For some reason, not all the articles are yet online, but it says they’re coming soon. [sent-7, score-0.18]

4 In the meantime, you can check out what Senn and I have to say. [sent-8, score-0.064]

5 Once all the articles are up, I’ll read them and write something in response. [sent-9, score-0.12]


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Introduction: Deborah Mayo, Aris Spanos, and Kent Staley edited a special issue on the philosophy of Bayesian statistics for the journal Rationality, Markets and Morals. Here are the contents : David Cox and Deborah G. Mayo, “Statistical Scientist Meets a Philosopher of Science: A Conversation” Deborah G. Mayo, “Statistical Science and Philosophy of Science: Where Do/Should They Meet in 2011 (and Beyond)?” Stephen Senn, “You May Believe You Are a Bayesian But You Are Probably Wrong” Andrew Gelman, “ Induction and Deduction in Bayesian Data Analysis “ Jan Sprenger, “The Renegade Subjectivist: Jose Bernardo’s Objective Bayesianism” Aris Spanos. “Foundational Issues in Statistical Modeling: Statistical Model Specification and Validation” David F. Hendry, “Empirical Economic Model Discovery and Theory Evaluation” Larry Wasserman, “Low Assumptions, High Dimensions” For some reason, not all the articles are yet online, but it says they’re coming soon. In the meantime, you ca

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Introduction: Philosophie et practique de la statistique bayésienne . I’ll try to update the slides a bit since a few years ago , to add some thoughts I’ve had recently about problems with noninformative priors, even in simple settings. The location of the talk will not be convenient for most of you, but anyone who comes to the trouble of showing up will have the opportunity to laugh at my accent. P.S. For those of you who are interested in the topic but can’t make it to the talk, I recommend these two papers on my non-inductive Bayesian philosophy: [2013] Philosophy and the practice of Bayesian statistics (with discussion). {\em British Journal of Mathematical and Statistical Psychology} {\bf 66}, 8–18. (Andrew Gelman and Cosma Shalizi) [2013] Rejoinder to discussion. (Andrew Gelman and Cosma Shalizi) [2011] Induction and deduction in Bayesian data analysis. {\em Rationality, Markets and Morals}, special topic issue “Statistical Science and Philosophy of Science: Where Do (Should)

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Introduction: Larry Brownstein writes: I read your article on induction and deduction and your comments on Deborah Mayo’s approach and thought you might find the following useful in this discussion. It is Wesley Salmon’s Reality and Rationality (2005). Here he argues that Bayesian inferential procedures can replace the hypothetical-deductive method aka the Hempel-Oppenheim theory of explanation. He is concerned about the subjectivity problem, so takes a frequentist approach to the use of Bayes in this context. Hardly anyone agrees that the H-D approach accounts for scientific explanation. The problem has been to find a replacement. Salmon thought he had found it. I don’t know this book—but that’s no surprise since I know just about none of the philosophy of science literature that came after Popper, Kuhn, and Lakatos. That’s why I collaborated with Cosma Shalizi. He’s the one who connected me to Deborah Mayo and who put in the recent philosophy references in our articles. Anyway, I’m pa

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Introduction: Continuing with my discussion of the articles in the special issue of the journal Rationality, Markets and Morals on the philosophy of Bayesian statistics: Stephen Senn, “You May Believe You Are a Bayesian But You Are Probably Wrong”: I agree with Senn’s comments on the impossibility of the de Finetti subjective Bayesian approach. As I wrote in 2008, if you could really construct a subjective prior you believe in, why not just look at the data and write down your subjective posterior. The immense practical difficulties with any serious system of inference render it absurd to think that it would be possible to just write down a probability distribution to represent uncertainty. I wish, however, that Senn would recognize my Bayesian approach (which is also that of John Carlin, Hal Stern, Don Rubin, and, I believe, others). De Finetti is no longer around, but we are! I have to admit that my own Bayesian views and practices have changed. In particular, I resonate wit

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Introduction: New blog from the philosopher Deborah Mayo who I think agrees with me about many statistical issues although from a non-Bayesian perspective. But I disagree with her when she writes that certain criticisms of frequentist statistical methods “keep popping up (verbatim) in every Bayesian textbook and article on philosophical foundations.” I’ve written a couple of Bayesian textbooks and some articles on philosophical foundations, and I don’t think I do this! That said, I think Mayo has a lot to say, so I wouldn’t judge her whole blog (let alone her published work) based on that one intemperate statement.

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Introduction: My article with Cosma Shalizi has appeared in the British Journal of Mathematical and Statistical Psychology. I’m so glad this paper has come out. I’d been thinking about writing such a paper for almost 20 years. What got me to actually do it was an invitation a few years ago to write a chapter on Bayesian statistics for a volume on the philosophy of social sciences. Once I started doing that, I realized I had enough for a journal article. I contacted Cosma because he, unlike me, was familiar with the post-1970 philosophy literature (my knowledge went only up to Popper, Kuhn, and Lakatos). We submitted it to a couple statistics journals that didn’t want it (for reasons that weren’t always clear ), but ultimately I think it ended up in the right place, as psychologists have been as serious as anyone in thinking about statistical foundations in recent years. Here’s the issue of the journal , which also includes an introduction, several discussions, and a rejoinder: Prior app

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Introduction: I’ll answer the above question after first sharing some background and history on the the philosophy of Bayesian statistics, which appeared at the end of our rejoinder to the discussion to which I linked the other day: When we were beginning our statistical educations, the word ‘Bayesian’ conveyed membership in an obscure cult. Statisticians who were outside the charmed circle could ignore the Bayesian subfield, while Bayesians themselves tended to be either apologetic or brazenly defiant. These two extremes manifested themselves in ever more elaborate proposals for non-informative priors, on the one hand, and declarations of the purity of subjective probability, on the other. Much has changed in the past 30 years. ‘Bayesian’ is now often used in casual scientific parlance as a synonym for ‘rational’, the anti-Bayesians have mostly disappeared, and non-Bayesian statisticians feel the need to keep up with developments in Bayesian modelling and computation. Bayesians themselves

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