THE GROWTH OF WORLD TRADE: THE ROBUSTNESS OF THE EVIDENCE
Keywords:
Gravity Equation, Robustness, Outliers DetectionAbstract
In this work we revisit the seminal paper “The growth of world trade: tariffs, transport costs, and income similarity” by S. Baier and J. Bergstrand published in the Journal of International Economics (2001). We develop a rigorous econometric analysis of the robustness of their results. While our findings support Baier and Bergstrand 2001’s general conclusions, we provide refined evidence of the results. Under robust estimators, we show that the presence of outliers overestimated the effect of trade liberalization and underestimated the effect of income growth, as sources of world trade growth in the second half of the past century.Downloads
References
S. L. Baier and J. H. Bergstrand, “The growth of world trade: tariffs, transport costs, and income similarity,” Journal of International Economics, vol. 53, pp. 1–27, 2001.
P. Krugman, “Growing world trade: Causes and consequences.” Brookings Papers on Economic Activity, vol. 1, pp. 327–377, 1995.
E. Helpman, “Imperfect competition and international trade: Evidence from fourteen industrial countries,” Journal of the Japanese and International Economies, vol. 1, no. 1, pp. 62–81, 1987.
D. Hummels and J. Levinsohn, “Monopolistic competition and international trade: Re-considering the evidence,” Quarterly Journal of Economics, vol. 110, no. 3, pp. 799–836, 1995.
J. Tinbergen, Shaping the World Economy: Suggestions for an International Economic Policy. The Twentieth Century Fund, New York, 1962.
R. Baldwin, “Towards an integrated europe,” Centre for Economic Policy Research, London, 1994.
V. Oguledo and C. MacPhee, “Gravity models: A reformulation and an application to discriminatory trade arrangements,” Applied Economics, vol. 26, pp. 107–120, 1994.
J. Frankel, “Regional trading blocs in the world economic system,” Institute for International Economics, Washington, DC, 1997.
J. Wagner, “International trade and firm performance: a survey of empirical studies since 2006,” Review of World Economics, vol. 148, pp. 235–267, 2012.
P. J. Rousseeuw and A. Leroy, Robust Regression and Outlier Detection. Wiley, New York, NY, 1987.
C. Dehon, M. Gassner, and V. Verardi, “A Hausman-type test to detect the presence of influential outliers in regression analysis,” Economic Letters, pp. 64–67, 2009.
R. Maronna, D. Martin, and V. Yohai, Robust Statistics: Theory and Methods. Wiley, New York, 2006.
P. J. Rousseeuw and B. v. Zomeren, “Unmasking multivariate outliers and leverage points,” Journal of the American Statistical Association, vol. 85, pp. 633–639, 1990.
J. Temple, “Robustness tests of the augmented solow model,” Journal of Applied Econometrics, vol. 13, pp. 361–375, 1998.
J. Temple, “Growth regressions and what the textbooks don’t tell you,” Bulletin of Economic Research, vol. 52, pp. 181–205, 2000.
D. Ruppert and D. G. Simpson, “Comment on rousseeuw and van zomeren,” Journal of the American Statistical Association, vol. 85, pp. 644–646, 1990.
C. Croux, “Are good leverage points good or bad?,” in Paper Presented at the International Conference on Robust Statistics, 2006.
C. Croux and C. Dehon, “Estimators of the multiple correlation coefficient: local robustness and confidence intervals,” Statistical Papers, vol. 44, pp. 315–334, 2003.
B. Eichengreen and D. Irwin, “Trade blocs, currency blocs and the reorientation of world trade in the 1930s,” Journal of International Economics, vol. 38 (1/2), pp. 1–24, 1995.
J. Anderson, “A theoretical foundation for the gravity equation,” American Economic Review, vol. 69, no. 1, pp. 106–116, 1979.
P. Krugman, “Increasing returns, monopolistic competition, and international trade,” Journal of International Economics, vol. 9, pp. 469–479, 1979.
E. Helpman and P. Krugman, Market Structure and Foreign Trade. MIT Press, Cambridge, MA, 1985.
J. H. Bergstrand, “The gravity equation in international trade: Some microeconomic foundations and empirical evidence,” Review of Economics and Statistics, vol. 67 (3), 474–481, 1985.
J. H. Bergstrand, “The generalized gravity equation, monopolistic competition, and the factor-proportions theory in international trade,” Review of Economics and Statistics, vol. 71 (1), pp. 143–153, 1989.
J. H. Bergstrand, “The Heckscher-Ohlin-Samuelson model, the linder hypothesis, and the determinants of bilateral intra-industry trade,” Economic Journal, vol. 100 (4), 1216–1229, 1990.
T. Bayoumi and B. Eichengreen, Regionalism versus Multilateral Trade Arrangements, ch. Is regionalism simply a diversion? Evidence from the EU and EFTA. The University of Chicago Press, Chicago, 1997.
P. Krugman, “Scale economies, product differentiation, and the pattern of trade,” American Economic Review, vol. 70, no. 5, pp. 950–959, 1980.
D. C. Hoaglin and R. E. Welsch, “The hat matrix in regression and anova,” The American Statistician, vol. 32, no. 1, pp. 17–22, 1978.
B. W. Silverman, “Spline smoothing: The equivalent variable kernel method,” The Annals of Statistics, vol. 12, no. 3, pp. 898–916, 1984.
R. Eubank, “The hat matrix for smoothing splines,” Statistics and Probability Letters, vol. 2, no. 1, pp. 9–14, 1984.
J. Li and R. Valliant, “Survey weighted hat matrix and leverages,” Survey Methodology, vol. 35, no. 1, pp. 15–24, 2009.
V. Verardi, Robust Regression in Stata. FUNDP (Namur) and ULB (Brussels), Belgium, 2009.
S. Chatterjee and A. S. Hadi, “Influential observations, high leveraleverage, and outliers in linear regression,” Statistical Science, vol. 1, no. 3, pp. 379–416, 1986.
V. Verardi and C. Croux, “Robust regression in Stata,” The Stata Journal, vol. 9, 439–453, 2009.
D. C. Montgomery and E. A. Peck, Introduction to linear regression analysis. Wiley, 1982.
J. B. Gray and W. H. Woodall, “The maximum size of standardized and internally studentized residuals in regression analysis,” The American Statistician, vol. 48, no. 2, 111–113, 1994.
R. D. Cook, “Detection of influential observations in linear regression,” Technometrics. American Statistical Association, vol. 19, no. 1, pp. 15–18, 1977.
R. D. Cook, “Influential observations in linear regression,” Journal of the American Statistical Association. American Statistical Association, vol. 74, no. 365, pp. 169–174, 1979.
R. D. Cook and S. Weisberg, Residuals and Influence in Regression. New York, NY, 1982.
K. A. Bollen and R. W. Jackman, Modern Methods of Data Analysis, ch. Regression Diagnostics: An Expository Treatment of Outliers and Influential Cases, pp. 257–291. Newbury Park, CA: Sage press, 1990.
P. C. Mahalanobis, “On the generalised distance in statistics,” Proceedings of the National Institute of Sciences of India, vol. 2, no. 1, pp. 49–55, 1936.
K. I. Penny, “Appropriate critical values when testing for a single multivariate outlier by using the mahalanobis distance,” Journal of the Royal Statistical Society, vol. 45, no. 1, 73–81, 1996.
V. Verardi and A. McCathie, “The s-estimator of multivariate location and scatter in stata,” Stata Journal, StataCorp LP, vol. 12, pp. 299–307, June 2012.
V. Verardi and C. Dehon, “Multivariate outlier detection in stata,” Stata Journal, StataCorp, vol. 10, no. 2, pp. 259–266, 2010.
S. S. Wilks, “Certain generalizations in the analysis of variance,” Biometrika, vol. 24, 471–494, 1932.
A. S. Hadi, “Identifying multiple outliers in multivariate data,” Journal of the Royal Statistical Society, pp. 761–771, 1992.
P. J. Huber, “Robust estimation of a location parameter,” The Annals of Mathematical Statistics, vol. 35, no. 1, pp. 73–101, 1964.
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