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Galton's Fallacy and Tests of the Convergence Hypothesis

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Quah, Danny

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Abstract

Recent tests for the convergence hypothesis derive from regressing average growth rates on initial levels: a negative initial level coefficient is interpreted as convergence. These tests turn out to be plagued by Francis Galton's classical fallacy of regression towards the mean. Using a dynamic version of Galton's fallacy, I establish that coefficients of arbitrary signs in such regressions are consistent with an unchanging cross-section distribution of incomes. Alternative, more direct empirics used here show a tendency for divergence, rather than convergence, of cross-country incomes.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 820.

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Date of creation: Jul 1993
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Handle: RePEc:cpr:ceprdp:820

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Related research
Keywords: Convergence Cross-country growth Galton's Fallacy Regression Towards the Mean Stochastic Kernel Transition Matrix

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Find related papers by JEL classification:
C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - General
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models
C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data
E17 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Forecasting and Simulation
O40 - Economic Development, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

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