Review of Non-Independence, Asymmetry, Skew-Symmetry and Point-Symmetry Models in the Analysis of Social Mobility Data

A non-standard log-linear approach is employed to fit the class of non-independence,asymmetric, skew-symmetric and inclined point-symmetry models to intergenerationalmobility table. While these models are not new, our goal in this paper is to present theimplementation of the models that are discussed here using SAS PROC GENMOD. This approach is used to fit these class of models to the 6 × 6 Brazilian social mobility data which has received extensive consideration in the literature, as well as to the 9 × 9 mobility table of men in England and Wales. These are further extended to two 5 × 5 mobility tables of men in the US aged 20–64. Parsimonious models are sought for each table and expressions for estimated odds-ratios under the appropriate models are provided based on our approach.