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On the Effect of Prior Assumptions in Bayesian Model Averaging with Applications to Growth Regression

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Author Info
Ley, Eduardo
Steel, Mark F.J.

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Abstract

We consider the problem of variable selection in linear regression models. Bayesian model averaging has become an important tool in empirical settings with large numbers of potential regressors and relatively limited numbers of observations. We examine the effect of a variety of prior assumptions on the inference concerning model size, posterior inclusion probabilities of regressors and on predictive performance. We illustrate these issues in the context of cross-country growth regressions using three datasets with 41 to 67 potential drivers of growth and 72 to 93 observations. Finally, we recommend priors for use in this and related contexts.

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Publisher Info
Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 6637.

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Date of creation: 06 Jan 2008
Date of revision: 06 Jan 2008
Handle: RePEc:pra:mprapa:6637

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Related research
Keywords: Model size; Model uncertainty; Posterior odds; Prediction; Prior odds; Robustness;

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Find related papers by JEL classification:
C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Bayesian Analysis
O47 - Economic Development, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - Measurement of Economic Growth; Aggregate Productivity; Cross-Country Output Convergence

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Carmen Fernandez & Eduardo Ley & Mark Steel, 1999. "Model uncertainty in cross-country growth regressions," Econometrics 9903003, EconWPA, revised 06 Oct 2001. [Downloadable!]
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  2. Steven N. Durlauf & Andros Kourtellos & Chih Ming Tan, 2006. "Is God in the Details? A Reexamination of the Role of Religion in Economic Growth," Discussion Papers Series, Department of Economics, Tufts University 0613, Department of Economics, Tufts University. [Downloadable!]
  3. Gernot Doppelhofer & Melvyn Weeks, 2007. "Jointness of Growth Determinants," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
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  4. Fernandez, Carmen & Ley, Eduardo & Steel, Mark F. J., 2001. "Benchmark priors for Bayesian model averaging," Journal of Econometrics, Elsevier, vol. 100(2), pages 381-427, February. [Downloadable!] (restricted)
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  5. Ley, Eduardo & Steel, Mark F.J., 2007. "Jointness in Bayesian variable selection with applications to growth regression," Journal of Macroeconomics, Elsevier, vol. 29(3), pages 476-493, September. [Downloadable!] (restricted)
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  6. Gneiting, Tilmann & Raftery, Adrian E., 2007. "Strictly Proper Scoring Rules, Prediction, and Estimation," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 359-378, March. [Downloadable!] (restricted)
  7. David J. Nott & Robert Kohn, 2005. "Adaptive sampling for Bayesian variable selection," Biometrika, Oxford University Press for Biometrika Trust, vol. 92(4), pages 747-763, December. [Downloadable!] (restricted)
  8. Xavier Sala-I-Martin & Gernot Doppelhofer & Ronald I. Miller, 2004. "Determinants of Long-Term Growth: A Bayesian Averaging of Classical Estimates (BACE) Approach," American Economic Review, American Economic Association, vol. 94(4), pages 813-835, September. [Downloadable!]
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  9. Min, Chung-ki & Zellner, Arnold, 1993. "Bayesian and non-Bayesian methods for combining models and forecasts with applications to forecasting international growth rates," Journal of Econometrics, Elsevier, vol. 56(1-2), pages 89-118, March. [Downloadable!] (restricted)
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  10. Sala-i-Martin, Xavier, 1997. "I Just Ran Two Million Regressions," American Economic Review, American Economic Association, vol. 87(2), pages 178-83, May. [Downloadable!] (restricted)
  11. Levine, Ross & Renelt, David, 1992. "A Sensitivity Analysis of Cross-Country Growth Regressions," American Economic Review, American Economic Association, vol. 82(4), pages 942-63, September. [Downloadable!] (restricted)
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  12. William A. Brock & Steven N. Durlauf & Kenneth D. West, 2003. "Policy Evaluation in Uncertain Economic Environments," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 34(2003-1), pages 235-322. [Downloadable!]
    Other versions:
  13. Chris Papageorgiou & Winford H. Masanjala, . "Initial Conditions, European Colonialism and Africa's Growth," Departmental Working Papers 2006-01, Department of Economics, Louisiana State University. [Downloadable!]
  14. repec:att:wimass:1920315 is not listed on IDEAS
  15. Charalambos G. Tsangarides, 2005. "Growth Empirics under Model Uncertainty: Is Africa Different?," IMF Working Papers 05/18, International Monetary Fund. [Downloadable!]
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Antonio Ciccone & Marek Jarocinski, 2008. "Determinants of economic growth - will data tell?," Working Paper Series 852, European Central Bank. [Downloadable!]
    Other versions:
  2. Magnus, J.R. & Powell, O.R. & Prüfer, P., 2008. "A Comparison of Two Averaging Techniques with an Application to Growth Empirics," Discussion Paper 2008-39, Tilburg University, Center for Economic Research. [Downloadable!]
  3. Enrique Moral-Benito, 2007. "Determinants Of Economic Growth: A Bayesian Panel Data Approach," Working Papers wp2007_0719, CEMFI. [Downloadable!]
    Other versions:
  4. Charalambos G. Tsangarides & Alin Mirestean & Huigang Chen, 2009. "Limited Information Bayesian Model Averaging for Dynamic Panels with Short Time Periods," IMF Working Papers 09/74, International Monetary Fund. [Downloadable!]
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