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840 andrew gelman stats-2011-08-05-An example of Bayesian model averaging


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Introduction: Jay Ulfelder writes: I see that you blogged about limitations of Bayesian model averaging. As it happens, I was also blogging about BMA, but with an example where it seems to be working reasonably well, at least for the narrow purpose of forecasting. The topic is the analysis I did for CFR earlier this year on nonviolent uprisings. I don’t have time to look into this one but I wanted to pass it on.


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1 Jay Ulfelder writes: I see that you blogged about limitations of Bayesian model averaging. [sent-1, score-0.627]

2 As it happens, I was also blogging about BMA, but with an example where it seems to be working reasonably well, at least for the narrow purpose of forecasting. [sent-2, score-1.285]

3 The topic is the analysis I did for CFR earlier this year on nonviolent uprisings. [sent-3, score-0.816]

4 I don’t have time to look into this one but I wanted to pass it on. [sent-4, score-0.572]


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same-blog 1 1.0 840 andrew gelman stats-2011-08-05-An example of Bayesian model averaging

Introduction: Jay Ulfelder writes: I see that you blogged about limitations of Bayesian model averaging. As it happens, I was also blogging about BMA, but with an example where it seems to be working reasonably well, at least for the narrow purpose of forecasting. The topic is the analysis I did for CFR earlier this year on nonviolent uprisings. I don’t have time to look into this one but I wanted to pass it on.

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Introduction: Nick Firoozye writes: I had a question about BMA [Bayesian model averaging] and model combinations in general, and direct it to you since they are a basic form of hierarchical model, albeit in the simplest of forms. I wanted to ask what the underlying assumptions are that could lead to BMA improving on a larger model. I know model combination is a topic of interest in the (frequentist) econometrics community (e.g., Bates & Granger, http://www.jstor.org/discover/10.2307/3008764?uid=3738032&uid;=2&uid;=4&sid;=21101948653381) but at the time it was considered a bit of a puzzle. Perhaps small models combined outperform a big model due to standard errors, insufficient data, etc. But I haven’t seen much in way of Bayesian justification. In simplest terms, you might have a joint density P(Y,theta_1,theta_2) from which you could use the two marginals P(Y,theta_1) and P(Y,theta_2) to derive two separate forecasts. A BMA-er would do a weighted average of the two forecast densities, having p

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Introduction: Charlie Williams writes: As I get interested in Bayesian approaches to statistics, I have one question I wondered if you would find interesting to address at some point on the blog. What does Bayesian work look like in action across a field? From experience, I have some feeling for how ongoing debates evolve (or not) with subsequent studies in response to earlier findings. I wonder if you know how this happens in practice when multiple researchers are using Bayesian approaches. How much are previous findings built into priors? How much advance comes from model improvement? And in a social science field where self-selection and self-interest play a role, how are improved “treatment” effects incorporated and evaluated? I thought you might know of a field where actual back and forth has been carried out mostly in the context of Bayesian analysis or inference, and I thought it would be interesting to take a look at an example as I think about my own field. My reply: I’ve seen Ba

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Introduction: Jay Ulfelder asks: I have a question for you about what to do in a situation where you have two measures of your dependent variable and no prior reasons to strongly favor one over the other. Here’s what brings this up: I’m working on a project with Michael Ross where we’re modeling transitions to and from democracy in countries worldwide since 1960 to estimate the effects of oil income on the likelihood of those events’ occurrence. We’ve got a TSCS data set, and we’re using a discrete-time event history design, splitting the sample by regime type at the start of each year and then using multilevel logistic regression models with parametric measures of time at risk and random intercepts at the country and region levels. (We’re also checking for the usefulness of random slopes for oil wealth at one or the other level and then including them if they improve a model’s goodness of fit.) All of this is being done in Stata with the gllamm module. Our problem is that we have two plausib

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