One significant outcome of the exercise is an indication of sigma-divergence across the US states, as reflected in increased standard deviation of logarithms and the coefficient of variation, and a positive trend in both.
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Income convergence across the U.S. states: further evidence from new recent data
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The sentences
One significant outcome of the exercise is an indication of sigma-divergence across the US states, as reflected in increased standard deviation of logs and coefficient of variation over the period, which correspond to a highly significant positive trend in both.