The authors discuss two tools to compare tables generated by the cross-classification of data by two characteristics (e.g., fathers' and sons' occupations; home ownership and ethnicity): (1) an algorithm to adjust two tables to have identical marginal frequencies, and (2) a measure of the association between rows and columns in a two-way table and a measure of how the row and column associations differ across two such tables, together with a test of the hypothesis that the associations are identical. The authors compare intergenerational occupational mobility in the United States in the period between 1850 and 1880 with that between 1880 and 1910.
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Altham et al. (2007) studied this question.
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