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The Matthew effect in economics reconsidered
Affiliation:1. University of Munich, Germany;2. Ifo Institute for Economic Research at the University of Munich, Poschingerstr. 5, 81679 Munich, Germany;1. Centre of Chemistry – Coimbra, Department of Chemistry, University of Coimbra, 3004-535 Coimbra, Portugal;2. Centre of Chemistry – Coimbra, Faculty of Sciences and Technology, University of Coimbra, Rua Sílvio Lima – Pólo II, 3030-790 Coimbra, Portugal;1. Institute for Education and Information Sciences, IBW, University of Antwerp, Venusstraat 35, Antwerp B-2000, Belgium;2. KU Leuven, Department of Mathematics, Celestijnenlaan 200B, B-3000 Leuven, Belgium;3. Library of Tongji University, Tongji University, Siping Street 1239, Shanghai 200092, China;4. SPRU, School of Business, Management and Economics, University of Sussex, Falmer, Brighton BN1 9SL, UK;5. Institute for Education and Information Sciences, IBW, University of Antwerp, Venusstraat 35, Antwerp B-2000, Belgium
Abstract:We apply the test of Ijiri and Simon (1974) to a large data set of authors in economics. This test has been used by Tol, 2009, Tol, 2013a to identify a (within-author) Matthew effect for authors based on citations. We show that the test is quite sensitive to its underlying assumptions and identifies too often a potential Matthew effect. We propose an alternative test based on the pure form of Gibrat's law. It states that stochastic proportionate citation growth, i.e. independent of its size, leads to a lognormal distribution. By using a one-sided Kolmogorov–Smirnov test we test for deviations from the lognormal distribution which we interpret as an indication of the Matthew effect. Using our large data set we also explore potential empirical characteristics of economists with a Matthew effect.
Keywords:Matthew effect  Gibrat's law  Kolmogorov–Smirnov
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