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In recent years the rank-dimensional approach to the analysis of social stratification has become increasingly prominent. One of its advocates, Johan Galtung, has made relations between nations his major point of empirical reference. The present paper applies rank-dimensional analysis to the deprived nations of Africa and Asia (or the so-called Third World) in an attempt to grasp the degree of rank homogeneity within the group and to relate its rank characteristics to the more privileged nations in the global system. This exercise demonstrates that there is a linear relationship between total rank and rank disequilibrium in the Afro-Asian group; a finding which has a number of significant theoretical ramifications. The major theoretical innovation in this connexion is the concept of rank divergence-defined as the degree to which a unit in a system of stratification diverges from the typical relational pattern holding between the unit's total rank and rank disequilibrium scores. [ABSTRACT FROM AUTHOR]