This paper presents an evaluation protocol that permits evaluating the relative performance of a set of populations in a multidimensional context when outcomes are measured in terms of categorical variables. This problem appears in many different fields, such as Medicine, Social Sciences, or Engineering. The key ingredient for this evaluation is comparing the likelihood of achieving higher performance levels in the different dimensions. This way of addressing this family of problems derives from extending the balanced worth (Herrero and Villar, 2018) to a multidimensional setting. This evaluation protocol is illustrated by means of two empirical applications regarding life satisfaction in Europe and multidimensional poverty measurement in Spain.

本文提出了一种评估协议，当根据分类变量衡量结果时，该协议允许在多维环境中评估一组人群的相对表现。这个问题出现在许多不同的领域，例如医学、社会科学或工程学。该评估的关键要素是比较在不同维度上实现更高绩效水平的可能性。这种解决这一系列问题的方法源于将平衡价值（Herrero 和 Villar，2018 年）扩展到多维环境。该评估协议通过关于欧洲生活满意度和西班牙多维贫困测量的两个经验应用来说明。