Fleurbaey and Maniquet have proposed the criteria of conditional equality and of egalitarian equivalence to assess the equity among individuals in an ordinal setting. Empirical applications are rare and only partially consistent with their framework. We propose a new empirical approach that relies on individual preferences, is consistent with the ordinal criteria and enables to compare them with the cardinal criteria. We estimate a utility function that incorporates individual heterogeneous preferences, obtain ordinal measures of well-being and apply conditional equality and egalitarian equivalence. We then propose two cardinal measures of well-being, that are comparable with the ordinal model, to compute Roemer's and Van de gaer's criteria. Finally we compare the characteristics of the worst-off displayed by each criterion. We apply this model to a sample of US micro data and obtain that about 18% of the worst-off are not common to all criteria.Keywords: Random Utility, Preference Heterogeneity, Welfare, Inequality of Opportunity, Labour Supply JEL Codes: C35, D31, D63, H24, H31, J22 * The authors thank the participants of the FUSL CEREC seminar in Brussels, of the 2011 AFSE meeting in Paris, the OPHI 2011 conference in Oxford and of the internal Social Welfare seminars at CORE (UCL). They are especially grateful to André Decoster, Francisco Ferreira, Marc Fleurbaey, François Maniquet, Kristian Orsini, Andreas Peichl, Xavier Ramos, Juan Gabriel Rodriguez, Erik Schokkaert and Dirk Van de Gaer for their helpful comments and suggestions. The usual disclaimers apply.