Model averaging in economics

Moral-Benito, Enrique (2010): Model averaging in economics.

Abstract

Fragility of regression analysis to arbitrary assumptions and decisions about choice of control variables is an important concern for applied econometricians (e.g. Leamer (1983)). Sensitivity analysis in the form of model averaging represents an (agnostic) approach that formally addresses this problem of model uncertainty. This paper presents an overview of model averaging methods with emphasis on recent developments in the combination of model averaging with IV and panel data settings.

• Item Type: MPRA Paper
• Language: English
• Keywords: Model uncertainty; model averaging
• Subjects: C - Mathematical and Quantitative Methods > C5 - Econometric Modeling

References

Alvarez, J. and M. Arellano (2003): \The Time Series and Cross-Section Asymptotics of Dynamic Panel Data Estimators," Econometrica, 71, 1121-1159.

Angrist, J. and J. Pischke (2010): \The Credibility Revolution in Empirical Economics: How Better Research Design is Taking the Con Out of Econometrics," The Journal of Economic Perspectives, 24, 3-30.

Avramov, D. (2002): \Stock Return Predictability and Model Uncertainty," Journal of Financial Economics, 64, 423{258.

Barnard, G. (1963): \New Methods of Quality Control," Journal of the Royal Statistical Society. Series A (General), 126, 255{258.

Bates, J. and C. Granger (1969): \The Combination of Forecasts," Operational Research Quarterly, 20, 451{468.

Berger, J. (1985): Statistical Decision Theory and Bayesian Analysis, Springer-Verlag, New York.

Buckland, S., K. Burnham, and N. Augustin (1997): \Model Selection: An Integral Part of Inference," Biometrics, 53, 603{618.

Chen, H., A. Mirestean, and C. Tsangarides (2009): \Limited Information Bayesian Model Averaging for Dynamic Panels with Short Time Periods," IMF Working Paper WP/09/74.

Claeskens, G. and N. Hjort (2003): \The Focused Information Criterion," Journal of the American Statistical Association, 98, 900{916.

Claeskens, G. and N. Hjort (2008): Model Selection and Model Averaging, Cambirdge University Press.

Clemen, R. (1989): \Combining Forecasts: A Review and Annotated Bibliography," International Journal of Forecasting, 5, 559{583.

Cohen-Cole, E., S. Durlauf, J. Fagan, and D. Nagin (2007): \Model Uncertainty and the Deterrent Eect of Capital Punishment," Federal Reserve Bank of Boston Working Paper. 35

Cremers, K. (2002): \Stock Return Predictability: A Bayesian Model Selection Perspective," The Review of Financial Studies, 15, 1223{1249.

Crespo-Cuaresma, J., G. Doppelhofer, and M. Feldkircher (2009): \The Determinants of Economic Growth in European Regions," CESifo Working Paper Series.

Crespo-Cuaresma, J. and T. Slacik (2009): \On the Determinants of Currency Crises: The Role of Model Uncertainty," Journal of Macroeconomics, 31, 621{632.

Diebold, F. X. and J. A. Lopez (1996): \Forecast Evaluation and Combination," Handbook of Statistics, 241{268.

Doppelhofer, G. and M. Weeks (2009a): \Jointness of Growth Determinants," Journal of Applied Econometrics, 24, 209{244.

Doppelhofer, G. and M. Weeks (2009b): \Jointness of Growth Determinants: Reply to Comments by Rodney Strachan, Eduardo Ley and Mark F.J. Steel," Journal of Applied Econometrics, 24, 252{256.

Durlauf, S., A. Kourtellos, and C. Tan (2008): \Are Any Growth Theories Robust?" Economic Journal, 118, 329{346.

Durlauf, S., A. Kourtellos, and C. Tan (2009): \Is God in the Details? A Reexamination of the Role of Religion in Economic Growth," Discussion Papers Series, Tufts University, No. 0613.

Edgerton, H. and L. Kolbe (1936): \The Method of Minimum Variation for the Combination of Criteria," Psychometrika, 1, 183{188.

Eicher, T., C. Henn, and C. Papageorgiou (2009a): \Trade Creation and Diversion Revisited: Accounting for Model Uncertainty and Natural Trading Partner Eects," Journal of Applied Econometrics, forthcoming.

Eicher, T., A. Lenkoski, and A. Raftery (2009b): \Bayesian Model Averaging and Endogeneity Under Model Uncertainty: An Application to Development Determinants," University of Washington Working Paper UWEC-2009-19.

Eicher, T., C. Papageorgiou, and A. Raftery (2009c): \Default Priors and Predictive Performance in Bayesian Model Averaging, with Application to Growth Determinants," Journal of Applied Econometrics, forthcoming. 36

Fernandez, C., E. Ley, and M. Steel (2001a): \Benchmark Priors for Bayesian Model Averaging," Journal of Econometrics, 100, 381{427.

Fernandez, C., E. Ley, and M. Steel (2001b): \Model Uncertainty in Cross-Country Growth Regressions," Journal of Applied Econometrics, 16, 563{576.

Fernandez, C., E. Ley, and M. Steel (2002): \Bayesian Modeling of Catch in a Northwest Atlantic Fishery," Journal of the Royal Statistical Society, Series C, 51, 257{280.

Foster, D. and E. George (1994): \The Risk In ation Criterion for Multiple Regression," The Annals of Statistics, 22, 1947{1975.

Furnival, G. and R. Wilson (1974): \Regression by Leaps and Bounds," Techno- metrics, 16, 499{511.

Galbraith, J. and D. Hodgson (2009): \Dimension Reduction and Model Averaging for Estimation of Artists' Age-Valuation Proles," CIRANO Working Paper.

Garratt, A., K. Lee, H. Pesaran, and Y. Shin (2003): \Forecast Uncertainties in Macroeconomic Modeling: An Application to the U.K. Economy," Journal of the American Statistical Association, 98, 829{838.

Geisser, S. (1965): \A Bayes Approach for Combining Correlated Estimates," Journal of the American Statistical Association, 60, 602{607.

George, E. (1999): \Discussion of "Model Averaging and Model Search Strategies" by M. Clyde," in Bayesian Statistics, ed. by J. Bernardo, A. Berger, P. Dawid, and S. A., Oxford University Press.

Halperin, M. (1961): \Almost Linearly-Optimum Combination of Unbiased Estimates," Journal of the American Statistical Association, 56, 36{43.

Hansen, B. (2007): \Least Squares Model Averaging," Econometrica, 75, 1175{1189.

Hansen, B. and J. Racine (2009): \Jackknife Model Averaging," Unpublished Manuscript.

Hjort, N. and G. Claeskens (2003): \Frequentist Model Average Estimators," Jour- nal of the American Statistical Association, 98, 879{899.

Hoeting, J., D. Madigan, A. Raftery, and T. Volinsky (1999): \Bayesian Model Averaging: A Tutorial," Statistical Science, 14, 382{417. 37

Horst, P. (1938): \Obtaining a Composite Measure from a Number of Dierent Measures of the same Attribute," Psychometrika, 1, 53{60.

Kass, R. and L. Wasserman (1995): \A Reference Bayesian Test for Nested Hypothesis with Large Samples," Journal of the American Statistical Association, 90, 928{934.

Kleibergen, F. and E. Zivot (2003): \Bayesian and Classical Approaches to Instrumental Variable Regression," Journal of Econometrics, 114, 29{72.

Koop, G. (2003): Bayesian Econometrics, Wiley-Interscience.

Kuersteiner, G. and R. Okui (2010): \Constructing Optimal Instruments by First- Stage Prediction Averaging," Econometrica, 78, 697{718.

Laplace, P. S. (1818): Deuxime Supplement a la Theorie Analytique des Probabilites, Courcier, Paris.

Leamer, E. (1978): Specication Searches, New York: John Wiley & Sons.

Leamer, E. (1983): \Let's Take the Con Out of Econometrics," American Economic Review, 73, 31{43.

Leamer, E. and H. Leonard (1983): \Reporting the Fragility of Regression Estimates," Review of Economics and Statistics, 65, 306{317. Levine, R. and D. Renelt (1992): \A sensivity Analysis of Cross-Country Growth Regressions," American Economic Review, 82, 942{963.

Ley, E. and M. Steel (2007): \Jointness in Bayesian Variable Selection with Applications to Growth Regressions," Journal of Macroeconomics, 29, 476{493.

Ley, E. and M. Steel (2009a): \Comments on Jointness of Growth Determinants," Journal of Applied Econometrics, 24, 248{251.

Ley, E. and M. Steel (2009b): \On the Eect of Prior Assumptions in Bayesian Model Averaging with Applications to Growth Regression," Journal of Applied Econometrics, 24, 651{674.

Madigan, D. and A. Raftery (1994): \Model Selection and Accounting for Model Uncertainty in Graphical Models using Occam's Window," Journal of the American Statistical Association, 89, 1535{1546. 38

Madigan, D. and J. York (1995): \Bayesian Graphical Models for Discrete Data," International Statistical Review, 63, 215{232.

Magnus, J., O. Powell, and P. Pr�ufer (2010): \A Comparison of Two Model Averaging Techniques with an Application to Growth Empirics," Journal of Econometrics, 154, 139{153.

Masanjala, W. and C. Papageorgiou (2008): \Rough and Lonely Road to Prosperity: A Reexamination of the Sources of Growth in Africa using Bayesian Model Averaging," Journal of Applied Econometrics, 23, 671{682.

McAleer, M., A. Pagan, and P. Volker (1985): \What Will Take the Con Out of Econometrics?" American Economic Review, 75, 293{307.

Mirestean, A. and C. Tsangarides (2009): \Growth Determinants Revisited," IMF Working Paper, WP/09/268.

Moral-Benito, E. (2010a): Determinants of Economic Growth: A Bayesian Panel Data Approach," The Review of Economics and Statistics, forthcoming.

Moral-Benito, E. (2010b): Panel Growth Regressions with General Predetermined Variables: Likelihood-Based Estimation and Bayesian Averaging," CEMFI WP No. 1006.

Morales, K., J. Ibrahim, C. Chen, and L. Ryan (2006): \Bayesian Model Averaging With Applications to Benchmark Dose Estimation for Arsenic in Drinking Water," Journal of the American Statistical Association, 101, 9{17.

Pesaran, H., C. Schleicher, and P. Zaffaroni (2009): \Model Averaging in Risk Management with an Application to Futures Markets," Journal of Empirical Finance, 16, 280{305.

Raftery, A. (1995): \Bayesian Model Selection in Social Research," Sociological Methodology, 25, 111{163.

Sala-i-Martin, X. (1997): \I Just Ran Two Million Regressions," The American Eco- nomic Review, 87, 178{183.

Sala-i-Martin, X., G. Doppelhofer, and R. Miller (2004): \Determinants of Long-Term Growth: A Bayesian Averaging of Classical Estimates (BACE) Approach," American Economic Review, 94, 813{835. 39

Stigler, S. (1973): \Laplace, Fisher, and the Discovery of the Concept of Sufficiency," Biometrika, 60, 439{445.

Strachan, R. (2009): \Comments on Jointness of Growth Determinants," Journal of Applied Econometrics, 24, 245{247.

Timmermann, A. (2006): \Forecast Combinations," in Handbook of Economic Forecast- ing, ed. by G. Elliott, C. Granger, and A. Timmermann, Amsterdam: North-Holland, 135{196.

Tobias, J. and M. Li (2004): \Returns to Schooling and Bayesian Model Averaging: A Union of Two Literatures," Journal of Economic Surveys, 18, 153{180.

Volinsky, C., D. Madigan, A. Raftery, and R. Kronmal (1997): \Bayesian Model Averaging in Proportional Hazard Models: Predicting the Risk of a Stroke," Applied Statistics, 46, 443{448.

Wagner, M. and J. Hlouskova (2009): \Growth Regressions, Principal Components and Frequentist Model Averaging," Working Paper, Institute for Advanced Studies, Vienna.

Wan, A. and X. Zhang (2009): \On the Use of Model Averaging in Tourism Research," Annals of Tourism Research, 36, 525{532.

Wright, J. (2008a): \Bayesian Model Averaging and Exchange Rate Forecasts," Journal of Econometrics, 146, 329{341.

Wright, J. (2008b): \Forecasting US in ation by Bayesian Model Averaging," Journal of Forecasting, 28, 131{144.

Zellner, A. (1986): \On Assessing Prior Distributions and Bayesian Regression Analysis With g-Prior Distributions," in Bayesian Inference and Decision Techniques: Essays in Honor of Bruno de Finetti, ed. by P. Goel and A. Zellner, Amsterdam: North- Holland/Elsevier.