Looks good, but as Brad DeLong pointed out in "Productivity Growth, Convergence and Welfare: Comment," (AER, 1988 [JSTOR]) the finding suffers from a selection problem. All of the countries in the sample are wealthy in 1979, so, of course, if they started out poor, they caught up. As a way around, with limited data, DeLong instead chooses a sample based on the initial level of income in 1870. Doing so adds several countries like Portugal and Argentina, that did not converge.
Some of the nominees at MR have much more cosmic importance, but this case is a good example of how smart people - not just Baumol, but the editors and referees at AER, too - can make mistakes that seem obvious, but only in retrospect after another smart person points them out.To be fair, it should be mentioned that Baumol did mention the potential issue in a footnote.
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