A New Method for Analyzing Social Mobility Table

An analysis by new index of association

Abstract

It is well known that the record of social mobility studies is paralled by a history of statistical analysis in which occupational mobility has often served as stimulus, Object, or illustration of statistical ideas. Since the development of modern social mobility study by English scholars led by Glass, many indices have been developed and applied to social mobility table. Among those indices, index of association has been most influential. The aim of the index of association was to eradicate the influence of marginal trends of father's occupation and son's occupation. But as it came to be clear that the index of association could not eradicate the marginal effects, little attention has been paid to it.
In 1970s.we observed a remarkable development of loglinear analysis developed by Goodman. Applying loglinear model to mobility table, we can now revise the index of association. A new index of association does not have a defect which the index of association has. The new index of association is freed from the size of marginals. In this paper we first explain the statistical background of the new index and illustrate the way how we can obtain it using 1975 SSM intergenerational mobility table. After illustration, we try to compare the trend of occupational inheritance based on 1955, 65, and 75 data sets. Also we illustrate the difference of the occupational inheritance rate based on the index of association and the new index of association.