Robust Growth Determinants

This paper investigates the robustness of determinants of economic growth in the presence of model uncertainty, parameter heterogeneity and outliers. The robust model averaging approach introduced in the paper uses a flexible and parsimonious mixture modeling that allows for fat-tailed errors compared to the normal benchmark case. Applying robust model averaging to growth determinants, the paper finds that eight out of eighteen variables found to be significantly related to economic growth by Sala-i-Martin et al. (2004) are sensitive to deviations from benchmark model averaging. For example, the GDP shares of mining or government consumption, are no longer robust or economically significant once deviations from the normal benchmark assumptions are allowed. The paper identifies outlying observations - most notably Botswana - in explaining economic growth in a cross-section of countries.

[1]  Lw Hepple,et al.  Bayesian Techniques in Spatial and Network Econometrics: 2. Computational Methods and Algorithms , 1995 .

[2]  J. Cuaresma,et al.  The Determinants of Economic Growth in European Regions , 2009, SSRN Electronic Journal.

[3]  X. Sala-i-Martin,et al.  Determinants of Long-Term Growth: A Bayesian Averaging of Classical Estimates (Bace) Approach , 2000 .

[4]  J. Temple Growth Regressions and What the Textbooks Don't Tell You , 1999 .

[5]  A. Raftery,et al.  Bayesian Robust Variable and Transformation Selection : A Unified Approach , 2007 .

[6]  M. Steel,et al.  Model uncertainty in cross-country growth regressions , 2001 .

[7]  Chih Ming Tan No One True Path: Uncovering the Interplay between Geography, Institutions, and Fractionalization in Economic Development , 2008 .

[8]  J. Temple Growth Econometrics , 2001, Oxford Research Encyclopedia of Economics and Finance.

[9]  Mark F. J. Steel,et al.  On the effect of prior assumptions in Bayesian model averaging with applications to growth regression , 2009 .

[10]  P. Aghion,et al.  Handbook of Economic Growth , 2005 .

[11]  Systemic Financial Crises, Balance Sheets, and Model Uncertainty , 2001 .

[12]  M. Sobel,et al.  Sociological Methodology - 2001 , 2001 .

[13]  V. Chernozhukov,et al.  Bayesian Econometrics , 2007 .

[14]  E. George,et al.  Journal of the American Statistical Association is currently published by American Statistical Association. , 2007 .

[15]  G. Doppelhofer,et al.  Jointness of Growth Determinants , 2007, SSRN Electronic Journal.

[16]  D. Rubin The Bayesian Bootstrap , 1981 .

[17]  P. Rousseeuw Least Median of Squares Regression , 1984 .

[18]  Jeremy MG Taylor,et al.  Robust Statistical Modeling Using the t Distribution , 1989 .

[19]  H. White,et al.  Some heteroskedasticity-consistent covariance matrix estimators with improved finite sample properties☆ , 1985 .

[20]  D. Madigan,et al.  A method for simultaneous variable selection and outlier identification in linear regression , 1996 .

[21]  D. Hendry,et al.  Regression Models with Data-Based Indicator Variables , 2005 .

[22]  Edward E. Leamer,et al.  Sets of Posterior Means with Bounded Variance Priors , 1982 .

[23]  A. Raftery,et al.  Default Priors and Predictive Performance in Bayesian Model Averaging, with Application to Growth Determinants , 2007 .

[24]  Peter Rousseeuw,et al.  Econometric Applications of High-Breakdown Robust Regression Techniques , 2017, 1709.00181.

[25]  J. Geweke,et al.  Bayesian Treatment of the Independent Student- t Linear Model , 1993 .

[26]  D. Poirier Bayesian Interpretations of Heteroskedastic Consistent Covariance Estimators Using the Informed Bayesian Bootstrap , 2011 .

[27]  N. Shephard,et al.  Multivariate stochastic variance models , 1994 .

[28]  Steven N. Durlauf,et al.  Multiple regimes and cross‐country growth behaviour , 1995 .

[29]  R. Levine,et al.  A Sensitivity Analysis of Cross-Country Growth Regressions , 1991 .

[30]  A. Krueger,et al.  Health and schooling investments in Africa. , 1999, The journal of economic perspectives : a journal of the American Economic Association.

[31]  Adrian E. Raftery,et al.  Bayesian model averaging: a tutorial (with comments by M. Clyde, David Draper and E. I. George, and a rejoinder by the authors , 1999 .

[32]  Charles A. Ingene,et al.  Specification Searches: Ad Hoc Inference with Nonexperimental Data , 1980 .

[33]  Herbert Lee,et al.  Bagging and the Bayesian Bootstrap , 2001, AISTATS.

[34]  M. Steel,et al.  Benchmark Priors for Bayesian Model Averaging , 2001 .

[35]  Siddhartha Chib,et al.  MARKOV CHAIN MONTE CARLO METHODS: COMPUTATION AND INFERENCE , 2001 .

[36]  Eduardo Ley,et al.  On the Effect of Prior Assumptions in Bayesian Model Averaging With Applications to Growth Regression , 2007 .

[37]  L. M. M.-T. Theory of Probability , 1929, Nature.

[38]  J. LeSage,et al.  Bayesian Model Averaging for Spatial Econometric Models , 2005 .

[39]  Fabio Canova,et al.  Testing for Convergence Clubs in Income Per Capita: A Predictive Density Approach , 2004 .

[40]  B. D. Finetti,et al.  Bayesian inference and decision techniques : essays in honor of Bruno de Finetti , 1986 .

[41]  K. Arrow,et al.  The New Palgrave Dictionary of Economics , 2020 .

[42]  L. Wasserman,et al.  A Reference Bayesian Test for Nested Hypotheses and its Relationship to the Schwarz Criterion , 1995 .

[43]  Stefan Zeugner,et al.  Benchmark Priors Revisited: On Adaptive Shrinkage and the Supermodel Effect in Bayesian Model Averaging , 2009, SSRN Electronic Journal.

[44]  M. Steel,et al.  BAYESIAN REGRESSION ANALYSIS WITH SCALE MIXTURES OF NORMALS , 2000, Econometric Theory.

[45]  T. Fearn,et al.  Multivariate Bayesian variable selection and prediction , 1998 .

[46]  Edward E. Leamer,et al.  Reporting the Fragility of Regression Estimates , 1983 .

[47]  Lw Hepple,et al.  Bayesian Techniques in Spatial and Network Econometrics: 1. Model Comparison and Posterior Odds , 1995 .

[48]  Wasserman,et al.  Bayesian Model Selection and Model Averaging. , 2000, Journal of mathematical psychology.

[49]  A. Raftery Bayesian Model Selection in Social Research , 1995 .

[50]  J. MacKinnon,et al.  Estimation and inference in econometrics , 1994 .

[51]  Leo Breiman,et al.  Bagging Predictors , 1996, Machine Learning.

[52]  Chris Papageorgiou,et al.  Rough and lonely road to prosperity: a reexamination of the sources of growth in Africa using Bayesian model averaging , 2008 .

[53]  L. Corrado,et al.  Identifying and Interpreting Regional Convergence Clusters Across Europe , 2005 .

[54]  Angus Deaton Price Indexes, Inequality, and the Measurement of World Poverty , 2010 .

[55]  H. White A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity , 1980 .

[56]  Marek Jarocinski,et al.  Determinants of Economic Growth : Will Data Tell ? † , 2008 .

[57]  Geoffrey J. McLachlan,et al.  Finite Mixture Models , 2019, Annual Review of Statistics and Its Application.

[58]  Stephen J. Brown,et al.  Model Selection When There Is "Minimal" Prior Information , 1984 .

[59]  S. Godsill,et al.  Assessing the Impact of Private Sector Balance Sheets Effects on Financial Crises: a comparison of Bayesian and information-theoretic measures of model uncertainty , 2004 .

[60]  W. Brock,et al.  Growth empirics and reality , 2001 .

[61]  Jakob de Haan,et al.  Determinants of long-term growth: New results applying robust estimation and extreme bounds analysis , 2005 .

[62]  T. J. Mitchell,et al.  Bayesian Variable Selection in Linear Regression , 1988 .

[63]  P. Deb Finite Mixture Models , 2008 .

[64]  James P. LeSage,et al.  Bayesian Model Averaging for Spatial Econometric Models , 2005 .

[65]  Luc Bauwens,et al.  Bayesian Inference on GARCH Models Using the Gibbs Sampler , 1998 .