Warsaw University, Faculty of Economic Sciences, Długa 44/50, 00-241 Warsaw, Poland.
J Health Econ. 2012 Jan;31(1):15-21. doi: 10.1016/j.jhealeco.2011.11.005. Epub 2011 Dec 16.
We present a class of decomposable inequality indices for ordinal data (e.g. self-reported health survey). It is characterized by well-known inequality axioms (e.g. scale invariance) and a decomposability axiom which states that an index can be represented as a function of inequality values in subgroups and subgroup sizes. The only decomposable indices are strictly monotonic transformations of the weighted average of frequencies in categories. Among the indices proposed in the literature only the absolute value index (Abul Naga and Yalcin, 2008; Apouey, 2007) is decomposable. As an empirical illustration we calculate regional contributions to overall health inequality in Switzerland.
我们提出了一类可分解的有序数据不平等指数（例如，自我报告的健康调查）。它的特点是具有著名的不平等公理（例如，尺度不变性）和一个可分解性公理，即指数可以表示为子组和子组大小的不平等值的函数。唯一可分解的指数是类别中频率的加权平均值的严格单调变换。在文献中提出的指数中，只有绝对值指数（Abul Naga 和 Yalcin，2008；Apouey，2007）是可分解的。作为实证说明，我们计算了瑞士整体健康不平等的区域贡献。
