A Dissimilarity Index of Multidimensional Inequality of Opportunity (Revised and Updated)

A recent literature on inequality of opportunity o¤ers quantitative tools for comparisons and measurement based on stochastic dominance criteria and traditional inequality indices. In this paper I suggest an additional way of assessing inequality of opportunity with two indices of dissimilarity across distributions. The indices are based on a traditional homogeneity test of multinomial distributions and are similar to the square coe¢ cient of variation (Reardon and Firebaugh, 2002). Their properties are studied, as well as their usefulness and limitations in applications when both circumstances and advantages/outcomes are multidimensional. An empirical application measures changes in inequality of opportunity from an old to a young cohort in Peru. The importance of assessing the sensitivity of the results to group de?nitions and group proportions is highlighted.