Dear Stata users,

Professor Stephen Jenkins developed command named -ineqord- (SSC, Distribution-Date: 20200314) for comparing distributions of ordinal data, especially subjective well-being (SWB) scales data. He propose an indice called J, including J downward-looking status measure index (Jd) & J upward-looking status measure index (Ju).
Each index is equal to the area between the generalized Lorenz (GL) curve for the relevant status distribution and the GL curve for the distribution with no status inequality [in which case the GL curve is a straight line between the origin and point (1; 1)], divided by the total area beneath the perfect equality curve (= 0:5). (Jenkins, 2020, The Stata Journal, st0606, P509)
Here is some literature source: (1) https://journals.sagepub.com/doi/pdf...36867X20953565 (2) https://www.tandfonline.com/doi/full...4.2019.1697729
I want to know how to explain J indice in empirical studies, and is it comparable to Gini index? Thank you very much.