Measuring Social Polarization with Ordinal and Categorical Data

Abstract

Abstract We examine the measurement of social polarization with categorical and ordinal data. We partition the society into groups on the basis of salient social characteristics, such as race and ethnicity, and we take into account the extent to which these groups are clustered in certain regions of an attribute's distribution. This is particularly useful in many contexts where cardinal data are not available. The new measures we propose are characterized axiomatically.