Mixtures of g-priors for Bayesian Model Averaging with economic application

Eduardo Ley and Mark Steel

No 5732, Policy Research Working Paper Series from The World Bank

Abstract: This paper examines the issue of variable selection in linear regression modeling, where there is a potentially large amount of possible covariates and economic theory offers insufficient guidance on how to select the appropriate subset. In this context, Bayesian Model Averaging presents a formal Bayesian solution to dealing with model uncertainty. The main interest here is the effect of the prior on the results, such as posterior inclusion probabilities of regressors and predictive performance. The authors combine a Binomial-Beta prior on model size with a g-prior on the coefficients of each model. In addition, they assign a hyperprior to g, as the choice of g has been found to have a large impact on the results. For the prior on g, they examine the Zellner-Siow prior and a class of Beta shrinkage priors, which covers most choices in the recent literature. The authors propose a benchmark Beta prior, inspired by earlier findings with fixed g, and show it leads to consistent model selection. Inference is conducted through a Markov chain Monte Carlo sampler over model space and g. The authors examine the performance of the various priors in the context of simulated and real data. For the latter, they consider two important applications in economics, namely cross-country growth regression and returns to schooling. Recommendations for applied users are provided.

Keywords: Educational Technology and Distance Education; Arts&Music; Geographical Information Systems; Information Security&Privacy; Statistical&Mathematical Sciences (search for similar items in EconPapers)
Date: 2011-07-01
New Economics Papers: this item is included in nep-ecm
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Citations: View citations in EconPapers (1)

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Related works:
Journal Article: Mixtures of g-priors for Bayesian model averaging with economic applications (2012)
Working Paper: Mixtures of g-priors for bayesian model averaging with economic applications (2011)
Working Paper: Mixtures of g-priors for Bayesian model averaging with economic applications (2011)
Working Paper: Mixtures of g-priors for Bayesian model averaging with economic applications (2010)
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