Modes, weighted modes, and calibrated modes: evidence of clustering using modality tests
众数、加权众数与校准众数：基于多峰性检验的聚类证据
Abstract We apply recent results from the statistics literature to test for multimodality of worldwide distributions of several (unweighted and population‐weighted) measures of labor productivity. Specifically, we employ Silverman (Bump) and Dip modality tests, calibrated to correct for their incorrect asymptotic levels. We show that test results are sensitive to the test statistic employed and to population weighting. But regardless of the statistical criterion used,…