Econometric Convergence Test and Club Clustering Using Stata

In this article, I introduce a new package with five commands to perform econometric convergence analysis and club clustering as proposed by Phillips and Sul (2007, Econometrica 75: 1771–1855). The logtreg command performs the log t regression test. The psecta command implements the clustering algorithm to identify convergence clubs. The scheckmerge command conducts the log t regression test for all pairs of adjacent clubs. The imergeclub command tries to iteratively merge adjacent clubs. The pfilter command extracts the trend and cyclical components of a time series of each individual in panel data. I provide an example from Phillips and Sul (2009, Journal of Applied Econometrics 24: 1153–1185) to illustrate the use of these commands. Additionally, I use Monte Carlo simulations to exemplify the effectiveness of the clustering algorithm.

[1]  Michael Baker Growth-Rate Heterogeneity and the Covariance Structure of Life-Cycle Earnings , 1997, Journal of Labor Economics.

[2]  Sydney C. Ludvigson,et al.  The Empirical Risk-Return Relation: A Factor Analysis Approach , 2005 .

[3]  Andrés J. Picazo-Tadeo,et al.  Eco-Efficiency and Convergence in OECD Countries , 2013 .

[4]  Robert A. Moffitt,et al.  Trends in the Transitory Variance of Earnings in the United States , 2002 .

[5]  J. C. Cuestas,et al.  Corporate tax in Europe: Towards convergence? , 2015 .

[6]  Robert J. Barro,et al.  Technological Diffusion, Convergence, and Growth , 1995 .

[7]  Kitack Lee,et al.  Growth and Convergence in a Multicountry Empirical Stochastic Solow Model , 1997 .

[8]  M. Pesaran,et al.  A Pair-Wise Approach to Testing for Output and Growth Convergence , 2004, SSRN Electronic Journal.

[9]  Stephen L. Parente,et al.  Barriers to Technology Adoption and Development , 1994, Journal of Political Economy.

[10]  S. Koopman,et al.  Convergence in European GDP series: a multivariate common converging trend–cycle decomposition , 2004 .

[11]  Donggyu Sul,et al.  Transition Modeling and Econometric Convergence Tests , 2007 .

[12]  Joachim Schnurbus,et al.  Economic Transition and Growth: A Replication , 2017 .

[13]  Ekaterini Panopoulou,et al.  Institute for International Integration Studies Club Convergence in Carbon Dioxide Emissions Club Convergence in Carbon Dioxide Emissions Club Convergence in Carbon Dioxide Emissions , 2022 .

[14]  W. Baumol Productivity Growth, Convergence, and Welfare: What the Long-run Data Show , 1985 .

[15]  P. Howitt,et al.  R/D, Implementation, and Stagnation: A Schumpeterian Theory of Convergence Clubs , 2002 .

[16]  A. Montañés,et al.  Convergence in US house prices , 2013 .

[17]  S. Koopman,et al.  Convergence in European GDP Series , 2003 .

[18]  Donggyu Sul,et al.  Economic Transition and Growth , 2005 .

[19]  Steven N. Durlauf,et al.  Convergence in International Output , 1995 .