比较有序数据的分布

Comparing Distributions of Ordinal Data

作者：

詹金斯（Jenkins）

斯蒂芬·斯蒂芬（Stephen P。）

To compare distributions of ordinal data such as individuals' responses on Likert-type scale variables summarizing subjective well-being, we should not apply the toolbox of methods developed for cardinal variables such as income. Instead we should use an analogous toolbox which takes account of the ordinal nature of the responses. This paper reviews these methods and introduces a new Stata command ineqord for undertaking distributional comparisons. As the empirical illustrations demonstrate, ineqord can be used for dominance checks as well as for estimation of indices of polarization and inequality.
为了比较序数数据的分布（例如，个人对Likert型量表变量的反应，概括了主观幸福感），我们不应应用针对基数变量（如收入）开发的方法的工具箱。相反，我们应该使用一个类似的工具箱，该工具箱应考虑到响应的顺序性质。本文回顾了这些方法，并介绍了一种新的Stata命令ineqord用于进行分布比较。如经验例证所示，不等式可用于支配性检查以及极化和不平等指数的估计。